{"text":"Question: b\"What is the gth term of 1150, 2145, 3132, 4111, 5082?\n\"Answer: -4*g**2 + 1007*g + 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*u + 74 = -4*a, 264*u = 4*a + 101*u - 751 for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = p**2 - 626*p + 18198. Calculate g(31).\nAnswer: -247","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = -445*g + 64. Let u be d(0). Let r be ((-152)\/6)\/(2\/(-6)). Let a = r + u. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 54326594?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = 19*v - 1. Let i(s) = -30*s + 2. Suppose 1444*n = 1437*n - 56. Let m(t) = n*y(t) - 5*i(t). Calculate m(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {h: 5, i: 2, c: 1, v: 5, o: 3}. What is prob of picking 1 o, 1 c, and 1 i?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(228)\/(sqrt(24)\/sqrt(2) + sqrt(12) + sqrt(12)))**2 - (-2 + sqrt(19)*2)**2) + 2.\nAnswer: -683\/9 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 10 + -7 - 0 - 9.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 4 a factor of 9546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qtcq when four letters picked without replacement from qttttcrttttcqttqtctt?\nAnswer: 13\/6460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 2*p**4 - 209*p**2 + 5*p - 10497.\nAnswer: 8*p**3 - 418*p + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 4859777101 to the nearest integer?\nAnswer: 69712","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -0.001780556 rounded to 4 decimal places?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r + 4*m = 83504, -r + 2*m - 2024 - 14678 = 0. Round r to the nearest one thousand.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 25298 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = -n**3 + 9436*n**2 - 5*n + 5. Let v(l) = -l**3 + 4711*l**2 - 3*l + 3. Calculate -3*b(h) + 5*v(h).\nAnswer: -2*h**3 - 4753*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*h - 60296 = 5*s - 6*h, -s + 2*h = 12068. Let k = -17782 - s. Is ((-5)\/(-10) - 1)*k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 37, 147, 345, 643, 1053, 1587, 2257, 3075?\nAnswer: 4053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = -5*f. Let l(b) = 310 - 103*b - 32*b - 310. Determine 55*a(v) - 2*l(v).\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*s + 21 - 6 = 0. Let u(h) = -h + 14. Let x be u(14). Solve 4 = -2*t + 2*l, -s*t - 2*l + 4 = -x for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 46*v - 49*v + 1536 = 0. What is the remainder when v is divided by 43?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 870, 2488, 5026, 8484, 12862, 18160, 24378?\n\"Answer: 460*c**2 + 238*c + 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1897 + -28442\/15. What is the common denominator of 97\/24 and j?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 27\/(-54)*28\/2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 4095 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l = -23526 + 24020. Which is smaller: l or 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = 7*n - 1. Let c be r(3). Suppose 8*f = 13*f - c. Let d(m) = m + 1. Let u be d(7). Solve 3*l - 4*q - q = -14, f*q + u = -4*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 75 - 86. Let h = -128\/2667 - 6\/127. Sort -2, y, h in descending order.\nAnswer: h, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2\/5*o**4 + 4\/5*o**3 + 0*o + 0 - 2\/5*o**2.\nAnswer: -2*o**2*(o - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-58)\/15 + ((-9)\/15)\/((-69)\/460).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -20 - 11310?\nAnswer: -11330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -4 divided by 30792?\nAnswer: -1\/7698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 3615315 and 110.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -d**4 + 2*d**3*u + 46*d**2*u**2 - 19*u**2 + 4 wrt d?\nAnswer: -4*d**3 + 6*d**2*u + 92*d*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 344 divided by 1840\nAnswer: 43\/230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {b: 7, x: 6}. Give prob of picking 1 x and 1 b.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 5 - -118?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2090*k**5 + 18*k - 37?\nAnswer: -41800*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is (3 + 1)*(-7221)\/(-202188)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or -2\/4191?\nAnswer: -2\/4191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = -28440*k + 229. Is x(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w - 18*q = -19*q - 12, -6 = -2*w + q. Sort -20, w, 4, 5.\nAnswer: -20, w, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1987622, -3975246, -5962870, -7950494, -9938118?\nAnswer: -11925742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 41001 to the power of 1\/2, to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 0.1, -2, 2\/329?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) be the first derivative of j**4\/12 + 15*j - 77. Let q(c) be the first derivative of k(c). Let z(h) = -h**2 - 3. Let m = 0 - 1. Calculate m*z(a) + q(a).\nAnswer: 2*a**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) be the first derivative of -55*a**4\/4 + 11*a**3\/3 - 11*a**2\/2 - 1320. Let o(c) = -11*c**3 + 2*c**2 - 2*c. Calculate -2*g(r) + 11*o(r).\nAnswer: -11*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q = 748.5 + -748. Let j = 3 - 3.1. What is the nearest to j in 2, q, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -7 in -12, 4, -0.3?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = t**3 + 55*t**2 + 389*t - 1157. Determine w(-46).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert 26797.05 centuries to decades.\nAnswer: 267970.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1392?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 294, 1773, 4396, 8169, 13098, 19189, 26448?\n\"Answer: p**3 + 566*p**2 - 226*p - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*u**2 + 0*u**2 + 5*u**2)*(-11*u**3 + 3*u**3 - 43*u**3 + 4*u**3).\nAnswer: -423*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n**3\/3 - 245692*n**2 + 27511232*n - 2310767872\/3 = 0. Calculate n.\nAnswer: 56, 368426","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u = 33 - -65. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = -h**3 + 9*h**2 + 3*h + 6. What is k(10)?\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from mmh. What is prob of sequence mmh?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) be the first derivative of 5 + 0*g + 0*g**2 - g**3 - 5\/4*g**4. Find the third derivative of i(k) wrt k.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 407 + 3381. Is t a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 465, 13.9, 0.4?\nAnswer: 465","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round -0.5936 to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor -128*x**2\/5 + 366*x\/5 + 54\/5.\nAnswer: -2*(x - 3)*(64*x + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k**2\/5 + 27*k\/5 - 10 = 0. Calculate k.\nAnswer: 2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) be the first derivative of -5*s**5\/4 + 45*s**4\/8 - 15*s**3\/4 + 136. Factor d(p).\nAnswer: -5*p**2*(p - 3)*(5*p - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 + 4 - f)*(2 - 5 + 2)*(f - 2*f + 0*f)*(0 - 3 + 0).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - 1 + 1)*(-20522*r + 42667*r - 3 - 2*r**2 - 20934*r).\nAnswer: 2*r**2 - 1211*r + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let a be 2\/(-7) + 198\/(-42). Let q(c) = -c. Let v be q(a). Let x be (-108)\/(-20) + (-2)\/v. What is the highest common divisor of x and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3 + sqrt(1331) - sqrt(1331) - sqrt(1331)) + 1 + sqrt(275).\nAnswer: -6*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 10\/3, -0.234, 3\/4, 2\/13?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 4 - 1 - (-14 + 13)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in 468916.8 weeks?\nAnswer: 283600880640000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 82562.57ml to litres.\nAnswer: 82.56257","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*f + 2*f - 5*c + 5, -5*f + 7291*c - 14576*c = -7289*c + 1 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*h**2 - 3455700*h + 3455697.\nAnswer: 3*(h - 1151899)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 36 minutes after 4:12 AM?\nAnswer: 4:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify h**(-7\/5)*h*h**32*(h**27)**38 assuming h is positive.\nAnswer: h**(5288\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = -18*g. Suppose -271 = -3*x - 274. Calculate i(x).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -7 + -12 + -12 + 33 + -7 + 44\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-28)\/252 - (2 - 1330\/63).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-45)\/(-20)*(-64)\/12)\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Do 3112 and 3113 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 27\/(-9) + 78\/15 and 101\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 13 (b) 1\/682 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 106*s - 774 = 2406 for s.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-3)\/6*4\/(-17). Let b = -0.3 + 0.2. Let h = 0.2 + -5.2. Sort l, h, b.\nAnswer: h, b, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -415 + 289. Let x = 126.1 + d. Which is bigger: x or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2942 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 13 (b) 0.4 (c) 389\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h be 2*-1*43*4\/(-8). Let o = 58 - h. Find the common denominator of -29\/18 and (-6)\/o + (-776)\/(-80).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 777581957 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*z + 10 = -k, -3886*z + 2*k + 6 = -3890*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Put -0.2, -246, 1\/3 in ascending order.\nAnswer: -246, -0.2, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-7)\/(343\/56))\/((-4)\/14).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose g + 5*y - 50 = 0, 3*y + 59 + 55 = 3*g. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor y**4\/7 + 240*y**3\/7 - 139*y**2 + 732*y\/7.\nAnswer: y*(y - 3)*(y - 1)*(y + 244)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 76786 > 76786?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express y**4 - 876*y**3 + 862*y**3 + 5*y**2 + 1 - 4*y**2 as x*y**3 + c*y + p*y**2 + f*y**4 + u and give x.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -485 + -5a85?\nAnswer: -634a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n = 43 - 19. Calculate the greatest common factor of n and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 11151718?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 11 - -10212102012?\nAnswer: 10212102100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -3814 (base 16) in base 6?\nAnswer: -150244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 928 and 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -5 divided by -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) be the second derivative of -d**5\/20 - d**4\/12 - d. Let y(b) = -11*b**3 + 21*b**3 - 13*b**3 - 2*b. Suppose -q = -6*q + 10. Determine q*t(c) - y(c).\nAnswer: c**3 - 2*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 3 - 2)*(4*j - 5*j - 2 + 0*j).\nAnswer: 2*j + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 24461384 and 116.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -6c (base 13) to base 2\nAnswer: -1011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q = -913\/93 - 574\/31. Suppose 4*d + 89 + 27 = 0. Are d and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = 2*n**3 - 18*n**2 + n - 4. Let s be h(9). Suppose 9*g + s*k - 19 = 7*g, 5*g = 5*k - 5. Solve g*l - b - 3 = 0, -5*b = 2*l - 4*b - 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4456115 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*n - 821 = -4658 - 6485. List the prime factors of n.\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-2)\/3)\/(-1)*-1\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.100199 times 0.047?\nAnswer: 0.004709353","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = 2*q**3 - 11*q**2 - 23*q + 4. Is s(8) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1443 - -1443. What is the closest to t in 1, 3, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -180 + 198. Calculate the highest common divisor of 198 and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = 8*t - 10. Let b be p(4). What is the greatest common factor of 176 and b?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 4.62767 + 0.37233. Which is the nearest to -3.3? (a) 284 (b) -3\/4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = i**2 - 5*i - 7. Let q be w(6). Let o(m) = 5*m**2 - 2*m - 1. Let s be o(q). Find the third derivative of 0*a**2 + a**2 + 2*a**s - 3*a**6 wrt a.\nAnswer: -120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5 + 4 + 0)*(-3*z + 0*z + z) + z - 1 + 1.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:29 AM and 12:16 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express 2*w + 8 - 3*w**3 - 8 + 2 - w**4 in the form f*w**2 + q*w + b*w**3 + c*w**4 + r and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-3)\/(-2))\/((-12)\/(-32)). Suppose -16 = -0*t + o*t. Which is the second biggest value? (a) t (b) -3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-380)\/(-16))\/(-19) - (-9)\/(-12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Add together 6 and -24501101.\nAnswer: -24501095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 351 - -4?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -0.106, -2\/3, -5, 137, 0, 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -2, -87.8, 26, -1?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = n + 3. Let w be c(1). Find the third derivative of 5 - 9 - 10*i**6 - i**2 + w wrt i.\nAnswer: -1200*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 7346921?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 628 minutes after 11:56 PM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m = 783589107\/7959260 - -2\/397963. Let q = m + -377\/4. Solve q*h**4 - 12\/5 + 12\/5*h**5 - 42\/5*h**3 + 12*h - 39\/5*h**2 = 0 for h.\nAnswer: -2, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -255.653 - -255. Round h to two decimal places.\nAnswer: -0.65","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 17 + -10. Suppose -v + 2*b = r*b + 20, -b = v. Let m(o) = o**3 - 6*o**2 + 6*o - 3. Let a be m(v). Solve -a*l + 6 = -0*y - 3*y, 0 = 4*y + 4*l + 8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 3? (a) -3056 (b) 0 (c) 2\/9 (d) 13 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*((sqrt(272)*-2*-1*1 - (-2 + 2*sqrt(272) - sqrt(272) - -3*1*sqrt(272))) + 0 + -4))**2.\nAnswer: 800*sqrt(17) + 27300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f = -66 - -113. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 185 and 7844.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 1094758*b**4*k**3 + 155*b*k**3 + 536487581*k**3 with respect to b.\nAnswer: 4379032*b**3*k**3 + 155*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6 + 12*y**2 - 1 + 7.\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:46 AM and 1:15 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v + 2*m + 1669 = 4*m, 0 = -2*m + 10. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 416 minutes before 1:45 PM?\nAnswer: 6:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = i**3 + 7*i**2 + 4*i + 3. Let x be o(-6). What is the greatest common factor of 555 and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (720\/(-325) + 2)\/(1\/4) and (-2)\/15 + 385\/300.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d = 285 + 720. Suppose 5*o = 3*x - d, -2*o - 95 = -4*x + 347. What is the greatest common divisor of 11 and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 12965, 22608, 32247, 41882?\nAnswer: 51513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = c**2 - 2*c + 22. What is the units digit of k(31)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -2353*g**2 + 24*g - 35 wrt g.\nAnswer: -4706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((((o**3*o)\/o)\/o)**(22\/5)*(o*(o**6\/o)\/o)\/o**9)**(-18))**(-8) assuming o is positive.\nAnswer: o**(3456\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = -143*p**2 + 18*p + 6. Let y(i) = 3288*i**2 - 411*i - 137. Determine 137*v(f) + 6*y(f).\nAnswer: 137*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -167, -630, -1435, -2582, -4071, -5902?\n\"Answer: -171*m**2 + 50*m - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(63) - (sqrt(4032) - (1 + sqrt(4032))))**2 - (2*sqrt(567))\/sqrt(9).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = 20*s - 742*s**2 - 10*s - 159*s**2 - 10*s. Let g(n) = -3*n**2. Determine g(i(y)).\nAnswer: -2435403*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z = -10436\/5 - -2088. Which is the third biggest value? (a) -120 (b) z (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {m: 1, o: 1, y: 2, w: 1, r: 1, e: 1}. What is prob of picking 1 w and 1 m?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand 466*l - 1573*l - 200*l - 919*l + (0 + 2 + 0)*(-2*l + 0*l + 3*l).\nAnswer: -2224*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence yfqf when four letters picked without replacement from ymqyvmyyifffy.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-12)\/198)\/(8\/36*3).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = c**3 + 7*c**2 + 8*c + 9. Let r be d(-6). Suppose -2*n + 0*n = -4*o + 22, 4*n = 4*o - 24. What is the closest to n in 0.5, 1\/3, r?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence wq when two letters picked without replacement from {q: 3, w: 4, l: 2, y: 1}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -693451 divided by -573\nAnswer: 693451\/573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20*p + 24*p = 0. Let d(s) = 4 - 130*s**2 - 2 + 0 + 129*s**2. What is d(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence pb when two letters picked without replacement from {v: 1, b: 1, l: 2, z: 1, t: 1, p: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m - 497443 - 556157 = 2*o, -5*m - 1317000 = -o. Round m to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1076509, 4305982, 9688439, 17223880, 26912305, 38753714?\nAnswer: 52748107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = -w**3 - 5*w**2 + 2. Let x(t) = t**2 - 3*t - 3. Let z be x(3). Let a = z - 2. What is the units digit of y(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) be the second derivative of 1\/30*b**5 + 5*b**2 - 1\/6*b**4 - 4*b + 0 - 1\/3*b**3 + 1\/120*b**6. Let x(j) be the first derivative of n(j). Calculate x(-4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -15 + (27 - (50 - 30))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) be the second derivative of 119*g**3\/6 - g**2 + 2315*g + 2. Let t(a) = -4*a. Calculate t(q(f)).\nAnswer: -476*f + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 630667 and 722.\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 137*g + 135*g - 378*g + g**3 + 106*g.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*f - 2*x + 516 = 99955, 3*f + 3*x - 99399 = 0. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -89\/2070 and -11\/5288022?\nAnswer: 26440110","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/123? (a) 0.1 (b) -19 (c) 4.2 (d) -1\/6 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Work out 56231.4 - 0.02.\nAnswer: 56231.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 4, -8, 604 in ascending order.\nAnswer: -8, -1, 4, 604","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve n - 6 = -2*l - 0*n, -3*n = -3*l + 9 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = -g - 15. Let m be v(-5). Calculate the common denominator of ((-371)\/(-12))\/7 + 10 + m and -29\/108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = 9*c**2 - 8*c. Let r(y) = -y**2 + y. What is 3*j(u) + 24*r(u)?\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u = 25 - 21. Let b be -4296 + 0 + (-16)\/u. What is b rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 59155879 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((b**(1\/4))**14*(b**9*b)\/(b\/b**(8\/5)))**(1\/7))**(-1\/40) assuming b is positive.\nAnswer: b**(-141\/2800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 154 and 886424877281?\nAnswer: 886424877127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 943829.31 + 0.4\nAnswer: 943829.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 1018*g + 9761*g + 111669 = 320211 + 222618 for g.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Work out -4490847 + 2720387.\nAnswer: -1770460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -204, -620, -1348, -2382, -3716, -5344?\n\"Answer: s**3 - 162*s**2 + 63*s - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) be the first derivative of 0*z**5 + 0*z - 4\/3*z**6 + 0*z**4 + 1\/3*z**3 - 17 + 16*z**2. Find the third derivative of n(u) wrt u.\nAnswer: -480*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -37 + -47 + 81 - (29 + -2).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify l**2*l**(1\/4) assuming l is positive.\nAnswer: l**(9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = 0*q**2 + 8*q**2 + 2 + 4*q**2 - 14*q - q**3 + 1. Let b be z(10). Let m = b + 10. What are the prime factors of m?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -15 divided by 59?\nAnswer: -15\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 582 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 447\/(-2086)*39368\/228.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b = -459 + 461. Suppose i = -p + 2, -3*p + 4 = 2*i + 2*i. Sort -29, b, i in decreasing order.\nAnswer: b, i, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -3, 5095, 6, 106, -1, 3 in increasing order.\nAnswer: -3, -1, 3, 6, 106, 5095","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 2*h**3 - 44*h - 51 wrt h.\nAnswer: 6*h**2 - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 q and 1 u when two letters picked without replacement from {q: 2, u: 4, f: 3, i: 1}.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -7314257, -14628516, -21942775?\n\"Answer: -7314259*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = 36*u + 63. Let m be b(6). Let i(h) = -2*h + 143*h**2 + 7 - m*h**2 + 134*h**2. Let k(x) = x**2. What is -i(w) - 3*k(w)?\nAnswer: -w**2 + 2*w - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = b**3 + 11*b**2 + b - 7. Suppose 4*w + j = -25, -4*w - 4*j - 37 = -7*j. What is the smallest common multiple of 16 and o(w)?\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Do 169949 and 169950 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h be (2*771\/21)\/2. Let a = 37 - h. Factor -a*r + 0 - 2\/7*r**2.\nAnswer: -2*r*(r + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 71\/12512 and 53\/176.\nAnswer: 137632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = 589077*i. Let c(q) = 5*q**2. Determine w(c(a)).\nAnswer: 2945385*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: (54\/(-51))\/3*243\/729\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 7687 + -7700. Sort a, 3, 37, -2.\nAnswer: a, -2, 3, 37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(2448) + -5 + sqrt(2448)*-2 + -2*(-2 + sqrt(2448)) - -3*-6*(-1 + sqrt(2448) + 5 - sqrt(2448))) + 1)**2.\nAnswer: 5184*sqrt(17) + 27216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put 5.1, -4\/5, -53 in decreasing order.\nAnswer: 5.1, -4\/5, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l = -1782\/5 + 30304\/85. Which is the closest to 2\/7? (a) l (b) 1 (c) 1\/3 (d) 0.26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 230 and 480010.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = -24*z - 22. Let i be n(-4). Suppose -i + 69 = y. Let c be 0\/(6\/7 + y\/(-35)). Solve -q + 5*q - 20 = c for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m + 24256 = -5*j, j - 7*m + 3*m = -4862. Round j to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 9.958531cm in kilometers?\nAnswer: 0.00009958531","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d be 1\/(-2)*14\/7*77. Let i = -1317 - d. What is i rounded to the nearest one hundred?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (14*h - 477 + 477)*(863 - 25*h**2 - 863).\nAnswer: -350*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = -d**2 - 5*d + 3. Let x be a(-5). Let h(v) = -2*v - 3*v + 2 - x. Give h(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 18 and 1638.\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/4 in -16, 2, 4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:21 PM and 9:08 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7*j - 7*j + 10*j - 9*j.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + ((1*(sqrt(44)\/sqrt(4) + -2)*4 + -5)*-4)**2 + 3.\nAnswer: -1664*sqrt(11) + 5527","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (93\/1)\/((-42)\/(-3892)).\nAnswer: 2, 31, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 188643 divided by 21.\nAnswer: 8983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c be (((-4)\/(-1) + -4)*-1)\/(-1). Sort 2, -5, c in ascending order.\nAnswer: -5, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -17912716*j - 17912722*j + 35825475*j.\nAnswer: 37*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k + 189 = -k. Let f = -94 + k. Is f a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*m = -3*m - 28*m + 223392. What are the prime factors of m?\nAnswer: 2, 13, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 39136037 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 8.959827 nanograms?\nAnswer: 0.000008959827","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 192728945 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2019*x**2 + 2019*x**2 - 5*x**3.\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 2992 and 2548766?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 2206461 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = -6475*k**3 + 533*k**2 + 13*k + 15. Let j(t) = -926*t**3 + 76*t**2 + 2*t + 2. Let d(f) = -2*i(f) + 15*j(f). Find the third derivative of d(r) wrt r.\nAnswer: -5640","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = 12*q - 228. Let m be y(17). Which is smaller: 0.2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.782*-0.4.\nAnswer: 0.3128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m - 17 = -b, 0 = -23*m + 28*m + 4*b - 26. Solve 0 = m*o - 1 - 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5434\/(-3952)*4*2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8 - 31*x**2 + 8 - 49*x**2.\nAnswer: -80*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let -51\/7*t - 12\/7*t**3 + 10\/7 + 47\/7*t**2 = 0. What is t?\nAnswer: 1\/4, 5\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -16 - -20. Suppose g*a = -2*i + 30, 2*a - 43 = -3*a + 3*i. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = -c**2 - 12*c + 17. Let m be j(-13). Suppose 15 = f + m*f. Suppose f*y = 7*y - 320. What is the greatest common factor of y and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = -w**3 + w**2 + w - 1. Let f(l) = -8*l**3 - l**2 - l + 2. Calculate -2*f(x) - 2*i(x).\nAnswer: 18*x**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 16\/(-180)*((-50225)\/(-246))\/245.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i be 3*-1*(-21)\/9. Suppose 0 = -5*d - 4*y - 7, -2*d - 2*y = -3*d + i. What is the units digit of -1*d*(-7 + 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 137025 and 34365?\nAnswer: 10824975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z = 1726\/9 - 192. What is the closest to 2\/7 in 2, z, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -5\/2, 1.6, -5?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 791?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort 24, 521, 21 in descending order.\nAnswer: 521, 24, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c = -30 - -11. Let g = c - -31. Calculate the lowest common multiple of g and 22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be -1 - 1 - 6\/(-2). Put -3, p, -1 in descending order.\nAnswer: p, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.007 and -350.\nAnswer: -2.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express (-l - l + l)*(16 - 47 - 12) in the form h*l + d and give h.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = -11*g - 16. Let j be i(-6). Let c be (2\/1)\/(5\/j). Let k = c + -6. Does 14 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -154780500 to the nearest 1000000.\nAnswer: -155000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) be the second derivative of p**6\/180 - 7*p**4\/24 - p**3 + 3*p. Let y(b) be the second derivative of i(b). Differentiate y(d) wrt d.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 5 + -1 + 1 + -7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 64 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -4 divided by -17154\nAnswer: 2\/8577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert 136224.06 hours to weeks.\nAnswer: 810.8575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zww when three letters picked without replacement from wwz.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.9? (a) 2\/3 (b) -123 (c) 4 (d) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (6*g**3 - 3*g**4 - g**3 - 3*g**3)*(-72*g + 13*g + 17*g).\nAnswer: 126*g**5 - 84*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is next in 966, 972, 992, 1032, 1098, 1196?\nAnswer: 1332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i = -13 - -12. Does 63 divide ((-420)\/(8 + 2))\/(i\/12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.8 * 0.34\nAnswer: -0.272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 u, 2 k, and 1 o when four letters picked without replacement from kekeeeekuoekeoeeeeo.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 57 or 868\/15?\nAnswer: 868\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 3801597701 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = 14*d**2 - 7*d + 8*d**2 - 60 + 17 - 5*d**3 - 17*d**2. What are the prime factors of q(-7)?\nAnswer: 2, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r\/(r**9\/r))**(-22))**(1\/75) assuming r is positive.\nAnswer: r**(154\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -33598.8 times 72.5\nAnswer: -2435913","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -516 divided by 2?\nAnswer: -258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t = -30 + 26. Suppose 6*s + 12 + 0 = 0. Let v(m) = -m**2 - 7*m - 3. Let o be v(-6). Put t, o, s in descending order.\nAnswer: o, s, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = 2*a**2 + 4*a - 5. Let m be 17\/(-5) + (-9)\/15. Calculate the remainder when 41 is divided by r(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 18*6\/(-126)*14\/(-8).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0 and 31.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b**5 + 340*b**4 - 1128*b**3 - 15724*b**2 - 26714*b - 12456 = 0. What is b?\nAnswer: -173, -4, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) = -3*m - 5*m**3 - 1 - 2*m**3 + 4*m**3 + 2*m**3 - 4*m**2. Let d be n(-2). Let h = d - 2. Sort h, -3, -2 in decreasing order.\nAnswer: -2, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 27754 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 1 less than -124\/236049?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 + (-4 - (5 - 10)) + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 23\/8 of a litre?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q = -2243 - -4116. What is the thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -263, -216, -85, 172, 597?\n\"Answer: 7*j**3 - 2*j - 268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {z: 3, b: 6, u: 2, h: 1, f: 2}. What is prob of sequence uf?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(162) + 0)**2 + 5.\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -34887*c**6*x - 1063*c**3*x + c**2 - 89*c*x + 2*c + 10763*x wrt c.\nAnswer: -4186440*c**3*x - 6378*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -72, -57, -32, 3?\n\"Answer: 5*u**2 - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 2009681.14 rounded to the nearest ten thousand?\nAnswer: 2010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Put -144, 4, 307, -4, 0, -1, -2 in increasing order.\nAnswer: -144, -4, -2, -1, 0, 4, 307","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 2055299849 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 8b + 81?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 2012.48 * -68\nAnswer: -136848.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = -4664*y - 704277. Determine z(-151).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y + 47 = -2*y. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2332213 (base 4) in base 16?\nAnswer: -2fa7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 84788580 to the nearest integer?\nAnswer: 439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find f such that f**2\/2 + 443*f\/2 - 7854 = 0.\nAnswer: -476, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) be the third derivative of y**6\/120 - 3*y**5\/10 + 3*y**4\/2 + 13*y**3\/6 + 2*y**2. Let n be v(16). Calculate the highest common factor of n and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -4? (a) 5\/8 (b) -5 (c) 0.09 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 104264382?\nAnswer: 2, 3, 23, 755539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 45654 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Put 1875, -2, -1, 61 in increasing order.\nAnswer: -2, -1, 61, 1875","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x = 35 - 35. Which is the smallest value? (a) -1 (b) x (c) 1\/13 (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together -5570.99 and -5.7.\nAnswer: -5576.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert 2369.496 kilometers to centimeters.\nAnswer: 236949600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 904 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o be (1 + (-4)\/(-8))*-1. Let d = -3.246 - -3.146. Put -2\/11, o, d, 0.09 in decreasing order.\nAnswer: 0.09, d, -2\/11, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -739 or -2957\/4?\nAnswer: -739","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m = -11243063.99999975 - -11243066. Let c = 2 - m. Round c to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -33 (b) 2\/13 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t*t**(-1))\/t)**(-2)*t*t**(-5)*t*t**(1\/4) assuming t is positive.\nAnswer: t**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 31 divide 5398437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand -12*y**5 - y**5 - 8*y**5 + (4 - 4 - 2*y)*(3*y**4 + y**4 - 3*y**4) - y + y + 4*y**5.\nAnswer: -19*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Express (-63 + 13 - 12)*(-5*f - 1 - 16*f**2 + 29*f**2 - 14*f**2 + 2*f**3) as w + x*f + g*f**3 + k*f**2 and give k.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 21, -66, -339, -888, -1803, -3174?\nAnswer: -5091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 535?\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Convert 351.6 milligrams to tonnes.\nAnswer: 0.0000003516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6\/9*(-6)\/38*1.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 6924 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand z**4 + 1 - 1 + (z - z + 3*z**4)*(-8728 - 1148 - 2230 - 5032).\nAnswer: -51413*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v be -1 - (-9 + 5) - 3 - -5. Let k(t) = 31*t**3 + 4*t - 15. Let o be k(v). Round o to the nearest one hundred.\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in 8\/309, -375, -0.3, 1\/2, -1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 1.7279 rounded to 0 dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y + 1412 = -188. Let h = -222 - y. Which is bigger: h or 99?\nAnswer: 99","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 + 1 = -2*h - m, -4*m = 0. Let t(j) = j**3 + 3*j**2 - j. Let d be t(h). Let k be 1*(2 - 3) - -1. Which is greater: k or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 61, 0.08981, -2\/7, 5\/4, 4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is (2\/(-8))\/((-45)\/(-72))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.39 + -0.01. Let w = -489 + 426. Let b be w\/42 - 26\/(-12). What is the biggest value in b, -4, d?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*r + 5*t = -78, -2*t = -5*r + 10184 - 10155 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) be the first derivative of -p**4\/4 + 5*p**3\/3 - 2*p**2 + 77. Factor l(b).\nAnswer: -b*(b - 4)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1927987 - 166.939.\nAnswer: 1927820.061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -13 - -53 - 35 - ((2 - 2) + -2 - -106).\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k = -194 - -73. Let i = 127 + k. Solve 0 = -2*f - f - i for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 413660.7mg?\nAnswer: 413.6607","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6 + ((-10)\/(-2) - -160).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -16 + 12 - (17 - 9)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -116 = -r + p - 17, 0 = 2*p + 4. List the prime factors of r.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -131\/6 and 35\/156.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((a**1*a)\/a)**(-28))**(-2\/67) assuming a is positive.\nAnswer: a**(56\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -480, -475, -470, -465, -460, -455?\n\"Answer: 5*g - 485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 2830140277 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 4, 7, 12, 19, 28, 39?\n\"Answer: w**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 55868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 14, -4, -5, -16921 in increasing order.\nAnswer: -16921, -5, -4, 0, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*p = 2*s, -4*p + s + 28 = 6*s. Solve -3*z - p = -11 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = 143*o. Let r(n) = 11*n. Give 5*j(p) - 66*r(p).\nAnswer: -11*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o*o**(2\/9)*o)**44)**(4\/21)*((((o*((o**(1\/2)\/o)\/o)\/o*o*o)\/o)\/o*o)**(16\/11))**(-47) assuming o is positive.\nAnswer: o**(109784\/2079)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = -28257*k + 791183. Determine n(28).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w + 6 = 0, -3*w + 57 = g - 65. Is 4 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) = -5904*a**3 + 3*a**2 + 24*a + 56. Is n(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 186000868.\nAnswer: 2, 31, 1500007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Determine u, given that -4*u**2 + 172*u + 5720 = 0.\nAnswer: -22, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is (109 - 36 - 73) + ((-1 - -2) + 0 - -80)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -19935, -19961, -20025, -20145, -20339?\n\"Answer: -3*w**3 - w**2 - 2*w - 19929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 136 bigger than 292875?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*p**2 + 2 - 2)*(-116*p + 20*p + 4*p).\nAnswer: -184*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = 33*y. Let x be a(1). Let h be 11\/(x\/(-18))*-1334. Let f = h - 15304. What is f rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p = 5*s + 32, 0 = -4*p - 0*s + s + 28. Suppose g + g = p. Suppose -g = 2*j - w, -3*w + 9 = -6. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-10)\/(-26)*(-5)\/(-25)*-2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u = -1901 - -2445. What is the remainder when u is divided by 78?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-2)\/(-58))\/(47\/1034*-11)\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {j: 3, m: 6, n: 3}. What is prob of picking 2 j?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} {"text":"Question: Evaluate 4 - -6 - (54 + -65 + (-1 - -12)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r = -3987\/4 - -956. Let i = r + 41. Which is the biggest value? (a) 4 (b) 5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a**4\/8 + 254997*a**3 - 2039985*a**2\/2 + 1019994*a = 0. Calculate a.\nAnswer: -679996, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 9 + (-19 - (-1455)\/75)\/(1\/26865)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = 124*t + 165. Let s be i(9). Let u = -2392 + s. What is u rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 21\/5 of a kilogram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 935 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wz when two letters picked without replacement from {w: 2, a: 4, c: 1, z: 1, p: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1694 is divided by 560.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 607437764?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c = 770 + -8472\/11. Sort 3, c, -1.3, -3 in ascending order.\nAnswer: -3, -1.3, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1782 = 33*w - 5*k, 399*w = 396*w - 5*k + 41 + 121 for w.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = -134*u**2 + 29. Let p(d) = -66*d**2 + 12. Let t(m) = 7*p(m) - 3*w(m). Let n(l) = 61*l**2 + 4. Give -3*n(b) - 4*t(b).\nAnswer: 57*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 2593 = 198*o - 516 - 2802 + 565 for o.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 2794 - 11*j**4 + 25*j**3 + 43*j**5 + 485*j**2 - 2795 - 42*j**5 wrt j.\nAnswer: 60*j**2 - 264*j + 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s - 1681 = -j, 16*j = 20*j - 5*s - 6724. What is the remainder when j is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 652 by 326.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 219788671 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 5, 1133 in increasing order.\nAnswer: -1, 5, 1133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -9 (b) 4 (c) 1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3213 is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = 3849*j. Let g(a) = -1450*a. Give g(p(x)).\nAnswer: -5581050*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 303 minutes after 11:39 PM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-1 + 1 + 2)*(2 + 1 - 1)*(-29*z + 5*z - 22*z) - 2*z + 2*z + 2*z to the form f*z + p and give f.\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p**(-2\/11)*p)\/p*p**(-45))\/((p*p\/(p*p**(-1\/15)))\/p)**(31\/3) assuming p is positive.\nAnswer: p**(-22706\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 78 and 114.\nAnswer: 1482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y = 91 - 84. Solve -5*h = -r + 9, -r - y + 0 = 3*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 85249 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-6)\/(-33) - (1 - 1180\/44). Let s(l) = -8*l**2 - 4*l - 1. Let v be s(3). Let c = 201 - v. Calculate the greatest common divisor of c and z.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -7 * 60.118.\nAnswer: -420.826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*p - 13*p = 21*p - 100 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q be -2*(-4)\/(-16)*0. Suppose 4*l - 32 = -5*f, 3*f = -q*l + 4*l. Find the third derivative of 4*r**2 + l*r**2 - 4*r**2 + 3*r**4 + r**4 wrt r.\nAnswer: 96*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r - z + 4 = z, 2*z = 2. Suppose 99 = s + r*s. Is s a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 448360 and 3228192?\nAnswer: 16140960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1589212911 to the nearest integer?\nAnswer: 1167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Divide -182 by 1.\nAnswer: -182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 3549108?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k = -6 + 8. Let i be k*(-3)\/18*-15. Suppose -24 = 2*x - i*d + 11, 5 = 3*x + 4*d. Sort -1, x, 5 in descending order.\nAnswer: 5, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-s**3 + 2 - 2 + (-4*s + 0*s + 2*s)*(2*s**2 - 1 + 1) + s**3 - 2*s**3 + 0*s**3 + s**3 - 2*s**3 - s**3 + 22*s**2 - 21*s**3 - 22*s**2)*(-5 - 1 + 1).\nAnswer: 145*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = -m**2 + 15*m + 6. Let x = -34 - -91. What is the remainder when x is divided by q(14)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = 32*s + 5. Let o be w(4). Suppose 0 = 5*i - 3*i - 38. What is the greatest common factor of i and o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -170781*t**6 - 1205*t**2 + 3*t + 63.\nAnswer: -20493720*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p be 26\/10 - 36\/60. Suppose 2 - 6 = p*g. Let z(k) = 3*k**2 - 2*k. Let n(v) = -6*v**2 + 5*v. Give g*n(w) - 5*z(w).\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d*d\/d**(3\/11)*d**(-17)*d**(-2\/9)\/d*d*d**(-8))**21 assuming d is positive.\nAnswer: d**(-16282\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-750)\/(-12)*((-2494)\/435)\/(-43)?\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 19, 136, 473, 1144, 2263, 3944, 6301?\n\"Answer: 19*r**3 - 4*r**2 - 4*r + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1337879 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 27 and 45675?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort 11, 0, -6, -3 in decreasing order.\nAnswer: 11, 0, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -42401*g + 21205*g + 21200*g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 40 minutes after 3:09 AM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 2400 - -12331?\nAnswer: 20231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert 81782.88 micrograms to grams.\nAnswer: 0.08178288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -210 = -3*o - 12*o. Let c(t) = -2. Let q(f) = -10. Let x(v) = o*c(v) - 3*q(v). Let z(j) = -j + 7. Give 22*x(d) - 6*z(d).\nAnswer: 6*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 203 to the power of 1\/2, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 3\/4? (a) 1 (b) 0.4 (c) 392 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c = -101 - -1128. What is the thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 347075759.\nAnswer: 347075759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 5622.317t?\nAnswer: 5622317000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 14961 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -132? (a) 1.2 (b) 1.9 (c) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -107*w - 372 - 484 = 0 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 5 - (1 - (-4 - -2)) - 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 0, 9, -4 in decreasing order.\nAnswer: 9, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = -i**3 - 6*i**2 + 6*i + 1. Let n = 6 + -17. Let y = -18 - n. What is the remainder when 29 is divided by w(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = l**2 - 2*l - 73. Let m be v(10). Suppose -2*n + 2*c = -16, 3*c - m*c - 12 = 0. Solve f = 2 - n for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1890?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((i\/(((i**20\/i*i)\/i)\/i*i))\/i)\/i*i\/i**(-3\/13))\/((i\/(i*i*i**(-7\/4)))\/(((i*i**(-18))\/i)\/i)) assuming i is positive.\nAnswer: i**(-2003\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k*k*k**(2\/7))**38\/(k*k*k\/k**1*k*k)**(-39\/5) assuming k is positive.\nAnswer: k**(4132\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 6*x**2 - 7*x + 3*x**2 - 3*x**2 wrt x.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 14 divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q be 2\/13 - (-100)\/26. Solve -2*r = -2*s + 10, r + 1 = -q*s - 2*r for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.2? (a) 10.65 (b) 1\/2 (c) -117 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 8*l**4 - 8*l**3 - 164*l**2 + 2*l wrt l?\nAnswer: 192*l - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = -q**2 - 3*q - 2. Let i be c(-3). Let j(x) = x. Let l(m) = 4*m**2 + 4*m. Let f(v) = i*l(v) + 10*j(v). Find d such that f(d) = 0.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -157 = -p + 2*i, 3*i - 516 = -3*p - 0*i. Let q = 166 - p. Is 39 >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 389928566 to the nearest integer?\nAnswer: 731","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 43 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Factor 452*x**3 - 71404*x**2 - 1896*x.\nAnswer: 4*x*(x - 158)*(113*x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = -5*n - 11. Let k(v) = -9*v - 21. Let c(t) = 3*k(t) - 5*y(t). Let g be c(-6). Suppose -313 = -3*h - 5*a, 2*h = -g*a + 48 + 160. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = m**3 + m. Suppose 0 = -4*z + 3*x - 5, 5*z + 4*x - 3*x - 8 = 0. Let n(c) = 10*c**3 + 24*c**3 + 25*c**3 - 47*c**3 + 10*c. Give z*n(l) - 10*u(l).\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = k**2 - 5*k - 4. Let u be w(6). Let t = 74 + -80. Let d be (-15)\/(-6)*t\/(-15). What is the highest common divisor of d and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1181 in 6, 0.4, 3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m = 11 - 11. Suppose -5*d + 4*f - 25 = 5*f, 2*d + 4*f + 28 = m. Let t = 31 - d. Is t a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 2990848.85277629829 + -1364621082.85277622829. Let f = 1361630240 + k. Let u = f - 6. Round u to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*v + 6*v - 2*v)*(-11 + 7 - 18) + 0*v + 0*v - v.\nAnswer: -23*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j\/j**(-3\/4)*j*(j*j**3*j)\/j*(j\/j**(1\/2))**11)**(-4\/5) assuming j is positive.\nAnswer: j**(-49\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o be -4 + ((-3)\/9 - (76\/(-12) - -6)). Is o at least -145?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -1\/2, 140452, -1, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = -w**3 + 8*w**2 + 8*w. Determine i(9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3 - ((4 + -2 - -1) + -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.26? (a) -0.033 (b) 0.3 (c) -4 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Add -87.5217 and 43.3.\nAnswer: -44.2217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 109217 times 0.4\nAnswer: 43686.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Divide -224948610 by 4.\nAnswer: -112474305\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -32 (b) 38 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of c**2*p + 1597237*c*p**3 + 7379388*p**3 wrt c?\nAnswer: 2*c*p + 1597237*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p + 13 = 57. Suppose c + 3*c = 3*g - p, 3*g = 2*c + 14. Calculate the greatest common factor of g and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 0.2 (b) -1\/3 (c) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l = 16 - 13. Let v(n) = 1 - 3*n**2 - 2*n - 2 + n**3 - 3*n + 0*n**l. Let o be v(4). Sort -1, o, -6.\nAnswer: -6, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find b such that b**4\/5 + 3541*b**3\/5 + 11283*b**2 + 10575*b = 0.\nAnswer: -3525, -15, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -107 = 4*a - 111 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is next in -188340, -753377, -1695106, -3013527, -4708640?\nAnswer: -6780445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} {"text":"Question: Let h(u) = -13*u**3 - 9*u**2 + 276*u - 11. Let c(q) = 7*q**3 + 6*q**2 - 139*q + 6. Give 11*c(i) + 6*h(i).\nAnswer: -i**3 + 12*i**2 + 127*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -103\/90 and -169\/1649970.\nAnswer: 1649970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose z - 2*n = 4*z - 279, 4*z = -n + 372. Let r = 90 - z. Is ((-2)\/r)\/(6\/(-12618)*-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 363 + -510. Let d = -94 - i. Suppose -20 = -54*o + d*o. What is the remainder when 77 is divided by o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*u - u + 0*u + u - 10*u + u + (3*u - 5*u + 3*u)*(0 + 2 - 3) + 2*u - 5*u + 2*u.\nAnswer: -13*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x be (2*-83)\/(-1 - 1). Let a be 3*(76\/(-6) - 3). Let z = x + a. Is 18 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*a = -4*i + 112801, 31*a = 26*a - 35. What is the ten thousands digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-3*g**3 - 3*g**3 + 4*g**3)*(-3 - 2 + 3)*(29 + 8 + 82) as s + n*g + r*g**2 + u*g**3 and give u.\nAnswer: 476","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 14 minutes before 9:08 AM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y = 2598 - 1754. Is y\/8*(2 + 0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 122613 - 86529. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -91*a = -93*a + 4*l + 11326, 0 = 2*l - 10. What is the hundreds digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 692*i**2 - 10*i**3 - 692*i**2 + 9*i**3 - 9*i**3.\nAnswer: -10*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = 886*s + 191363. Calculate w(-216).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g = -47 + 49. Suppose -2 + 6 = -4*q. Let k(l) = -4*l**3 + l**2 + l + 1. Let r be k(q). Solve 3*x = -g*x + r for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = -i. Let n(k) be the second derivative of -k**4\/6 - 33*k**2 - 253*k + 2. What is n(m(y))?\nAnswer: -2*y**2 - 66","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*b - 45 = -2*p + 2*b, -4*p + 4*b = -96. Let o = -114\/5 + p. What is the second biggest value in -4, o, -2, 0.5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 0 or -1548?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -836*d**2*o**2 - 2*d**2*o + 1996*d**2 wrt o?\nAnswer: -1672*d**2*o - 2*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 3512556 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -16*h**2 - 119 + 73 + 2*h + 46.\nAnswer: -16*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) be the first derivative of 0*q - 103 + 0*q**3 + 105\/4*q**4 + 71\/2*q**2. What is the second derivative of k(r) wrt r?\nAnswer: 630*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = -3*h**2 + 5*h - 5. Let d(b) = 5*b**2 - 7*b + 8. Let r(j) = j**2 + 3*j - 113. Let p be r(-12). What is p*d(v) - 8*s(v)?\nAnswer: -v**2 - 5*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is -374 smaller than -316967\/848?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v = -119 - -273. Let o(q) = 9*q - 58. Let f(b) = 2. Let n(g) = -4*f(g) - o(g). Let r be n(4). What is the greatest common divisor of r and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {r: 7, n: 6}?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 700963, 700991, 701021, 701053, 701087?\n\"Answer: t**2 + 25*t + 700937","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 237417495?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert -8d022 (base 14) to base 2.\nAnswer: -1010011101111110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (9 - 7 + 18)*(3 + m - 3 + (-2*m + 0*m + 6*m)*(-3 + 0 + 2)) to the form o + z*m and give z.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 53*f = 48*f. Suppose -p + 2*g + 17 = f, 2*g + 17 = -4*p + 45. What is the remainder when 169 is divided by 6\/p*(7 - -44)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -859858 or -19776715\/23?\nAnswer: -859858","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 63823.16 millilitres in litres?\nAnswer: 63.82316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand -7*z + z + 0*z + (2*z + 1 - 1)*(1 - 3 + 0).\nAnswer: -10*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x = 54 - 28. Suppose 14 + x = 4*h. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 9792*n**4 + 2*n**3 + n**2 - 61852*n.\nAnswer: 235008*n + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = -19*t + 79. Give x(8).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-10)\/4)\/(27\/18). Which is the closest to 1? (a) -2 (b) 0.5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = -t**2 - 49*t - 307. What is n(-42)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v = 154 + 408. Let o = v + -566. Which is the nearest to 2\/7? (a) -1\/5 (b) 0.5 (c) o (d) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = -9*h**3 - 11*h**2 - 9*h - 15. Let d(k) = 8 + 6*k + 5*k**2 + 5*k**3 - k + k**2. Suppose m + 4 = 10. Calculate m*j(n) + 11*d(n).\nAnswer: n**3 + n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*(-4 + (-1 + sqrt(171))*-4)*-2)**2.\nAnswer: 98496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) be the third derivative of -h**7\/420 - 11*h**6\/240 + 13*h**5\/60 + 3*h**2 - 110*h. Factor c(s).\nAnswer: -s**2*(s - 2)*(s + 13)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = s**2 + 49*s - 2116. What is u(-77)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Round 7666.723 to the nearest 100.\nAnswer: 7700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in -11, 33900, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + sqrt(2736) + 5 - -5*(2 + sqrt(2736)))**2.\nAnswer: 2448*sqrt(19) + 98785","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = 40*f**2 + 1. Is a(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*f + 2 - 2)*(4*f + f + 0*f) + (3*f - 2*f + 2*f)*(0*f + 4*f - f).\nAnswer: 19*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + sqrt(1584)*-2)**2*-3.\nAnswer: -19083 - 720*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (-24)\/(-9)*(-162)\/(-96)*4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1.5542 <= -69?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-17)\/13362)\/(3\/16486). Let k = -28\/131 - d. Calculate the common denominator of -101\/44 and k.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) = y. Let b(u) be the second derivative of -u**4\/6 + 59*u. Calculate b(n(j)).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s = 26082.119 - 26042. Let v = -0.481 - s. Let f = -49 - v. What is f rounded to zero dps?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 33358368472 + 2?\nAnswer: 33358368474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 10 and 353624?\nAnswer: 1768120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 43*g + 148*g - g**4 + 361*g - g**4 - 14*g**2 + 3*g**2 to i*g**4 + v*g**2 + x + f*g + u*g**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) be the second derivative of 19*a**7\/7 - 5*a**3\/6 - 31*a**2 + 298*a. Find the second derivative of u(t) wrt t.\nAnswer: 2280*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -31 + 102511351?\nAnswer: 102511320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -y + 103*y = -246*y - 348 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 40, 2607, 0.1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = 13*g**3 + 2*g**2 + 3*g. Let n(h) = -27*h**3 - 5*h**2 - 7*h + 2. What is 5*a(c) + 2*n(c)?\nAnswer: 11*c**3 + c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z = 7693 - 7727. Let q(s) = -2*s**3 - 69*s**2 - 35*s - 49. Give q(z).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = -30*n**4 + 16*n**3 - 10*n**2 - 6*n. Let a(k) = 90*k**4 - 49*k**3 + 29*k**2 + 17*k. Let i(g) = 6*a(g) + 17*m(g). Determine q, given that i(q) = 0.\nAnswer: 0, 1\/3, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0989487 millennia in years?\nAnswer: 98.9487","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00277541985 rounded to four decimal places?\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000178082 to 5 decimal places.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o = 8*x - 3*x, -5*o + 2*x = 0. Suppose o = -3*k - 6 + 18. Let z = -1 + k. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = -3566*y - 30. Let h(u) = 3566*u + 35. Determine -6*h(o) - 7*l(o).\nAnswer: 3566*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = s. Let j be (-2)\/(-7) - (-57)\/21. Let v be p(j). Find the second derivative of v*f - f**4 - 3*f - f wrt f.\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -658.812 - -378.7. Let c = o + 279. What is c rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 94952 divided by 23738?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = 3*n**2 + 6*n - 3. Determine h(-4).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**(2\/61)*(f\/(f*(((f\/f**(-9\/8)*f)\/f)\/f)\/f*f))\/f)\/(f\/(f**(2\/73)\/f))**49 assuming f is positive.\nAnswer: f**(-3517861\/35624)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -23 - -21 - (0 - (-4 + 1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 103, -0.2, 2\/9, -1318, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v - 4*v + 4*s = -32, -s + 32 = 2*v. Calculate the highest common factor of v and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = 8*j + 354. Let a be z(-44). Let m(q) = -q**3 + 2*q + 3. Let p be m(-1). Solve -p = -a*n + 8 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1920 = -109*m + 156*m - 416 for m.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2 - 5*q**2 - 5*q**2 - 9*q**2 + 0 to the form c*q + n + w*q**2 and give w.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = 13*a - 348. What is u(34)?\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 59.09461g in milligrams?\nAnswer: 59094.61","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f**(3\/8))**(-8\/3)*(f*f**13*f*f)\/f*f*f*f**(-2)\/f)**(-13) assuming f is positive.\nAnswer: f**(-169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from vvvvvvvvvv. Give prob of sequence vv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v = 27 + -45. Is -19 < v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: (24*43\/(-387))\/((1*-4)\/2)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0.088 + -0.068. What is p rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 782460418?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*m**5 - 725*m**4 - 146885*m**3 - 4868635*m**2 + 16551360*m + 21273840 = 0.\nAnswer: -63, -1, 4, 268","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = 2*z - q - 2*q, 2*z - 4 = -q. Let o = z - -11. Solve 5*n - 4 = o for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-3 - (-1 + 0 + 0)) + (-138 - (130 + -315))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 26\/5 of a meter in millimeters?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) be the second derivative of -4*x**6\/15 - x**2 + 7*x. Differentiate j(r) wrt r.\nAnswer: -32*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) be the second derivative of -u**3 - 9*u**2 - 3*u. Let f be d(-5). Calculate the highest common divisor of 8 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -32*r**2 + r - 32*r**2 + 62*r**2 + 5 as n + l*r + y*r**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand k**3 + 2*k**3 - 5*k**3 + (0*k**2 - 3*k**2 + 5*k**2)*(1 - 1 + 2*k) + 2*k**2 - 2*k**2 + k**3.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Express -6 + 17*b + 10 - 4 in the form n + t*b and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate (20*77\/(-3465))\/(46\/(-27)).\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-p**2 - 1 + 1 + (p - 5*p + p)*(2*p + 0*p - 3*p))*(-4 - 612*p + 3702*p + 1903*p) to u*p**2 + g*p**3 + f + m*p and give g.\nAnswer: 9986","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 1\/10, -5, -5\/6, -4?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 221?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -1001 + 20012112020?\nAnswer: 20012111012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.25 - 0.3. Let r = -0.05 - t. Let c = 0.0067 + -0.3067. What is the smallest value in r, -1\/3, c?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = -r + 4. Let l be f(-4). Suppose -23*k + 248 = 8*k. What is the highest common divisor of l and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be -36 + (2 - (4 + -2)). Let c be (-2)\/(-6) + 12\/x. Suppose c*t + 3 = t - 4*i, -i = 4*t - 29. Solve g - 12 = -2*a + t*a, a - 4 = -3*g for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: (-13)\/78 - (-1 - (-12)\/9)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 645921366.\nAnswer: 2, 3, 2411, 44651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m = -11 + 19. Let f(g) = g**2 + g - 1. Let u be f(2). Suppose 3*y + 11 = -j, 3*y = -2*j + u*j - 15. What is the highest common divisor of j and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = -p**3 + 50*p**2 + 4*p - 177. Determine a(50).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -22 - -1060?\nAnswer: 1035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 272651 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 7 divided by -8\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 86*h - 10 = 81*h. Find the second derivative of 3 + 3 - 10*z + 20*z**h - 6 wrt z.\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 35120789.\nAnswer: 11, 71, 193, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express -309*v**4 + 603*v**4 + 2*v**2 + 802*v - 292*v**4 in the form y*v**3 + a*v**4 + f + h*v**2 + z*v and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -43117 rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = -n**3 + 16*n**2 + 16*n - 5. Let r be i(17). Which is smaller: -1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 h and 1 k when two letters picked without replacement from shkhsshkhkhhh.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:16 AM and 10:50 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-112)\/20 - -6) + (-26)\/(-10). Let u be (3 + -2)\/(1*2\/12). Solve 3*m + p*s = -2*s + u, -m - 2*s + 2 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b*(b\/b**(-14))\/b*b*b)\/((b*b*b*b**(-4\/9))\/b*b)*b*b*(b\/b**(-12))\/b*b\/b**(2\/13) assuming b is positive.\nAnswer: b**(3427\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.4 * 0.0046.\nAnswer: 0.00184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*s**3 - 603452*s**2 - 1206898*s - 603448 = 0 for s.\nAnswer: -301724, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 39\/1505164 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) be the first derivative of -29*u**5\/5 - 3*u + 24. Differentiate f(v) wrt v.\nAnswer: -116*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2949278?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -90173 divided by -5\nAnswer: 90173\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -88*k + 537 = 13*k + 1547 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = 32*m + 10. Let u be q(-2). Let y be -1 + 10\/4 - 1431\/u. Let n be 208\/y + 15\/(-35). What is the highest common divisor of n and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 - 2 + 3)*(-3*s + 2*s - 8*s)*(4*s - 4*s + 3*s**4).\nAnswer: 54*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Are -1\/4787 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 4073677 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate -556562892 divided by -4.\nAnswer: 139140723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.15028 + -199.77972. Let b = -201 - l. Let z = b - -1.06922. What is z rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 384994 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c = -0.2 + -0.4. Let u = -0.5 - c. Which is smaller: u or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 3*v - 7 + 44*v**3 - 40*v**3 - 4*v in the form o*v + r*v**3 + y*v**2 + a and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18*i - 58126 = -4288. What are the prime factors of i?\nAnswer: 3, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2767*y - 7664 = -2853*y - 612 for y.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 181886, 183818, 185752, 187688?\n\"Answer: t**2 + 1929*t + 179956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Does 39 divide 30553963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c = -26299 + 26298.8. Which is bigger: c or -460.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -790 in -1, 0.35, 0.193?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2887?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*4*sqrt(85) + sqrt(85) - (sqrt(85) + 4*sqrt(85))*1)\/((sqrt(5) - -6*(sqrt(5) - (sqrt(125) - sqrt(5))) - sqrt(5)) + sqrt(5)*6*1).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -3559090*h**6 + 2*h**4 + 19914396*h**2 wrt h.\nAnswer: -427090800*h**3 + 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {b: 1, i: 1, u: 1}. Give prob of picking 1 u and 1 i.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 11 and 1923724.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -2020, -14643, -27266, -39889?\n\"Answer: -12623*x + 10603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in three fifths of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c = o - 2*o - 563, 2*c + 2*o = 548. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1\/4 or -39485179?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = -814*a**3 + 2*a**2 + a + 1. Let m(i) = -8*i - 57. Let q be m(-7). Let j be c(q). Suppose -5*n - 211 = -j. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*b + 32 = -22. Calculate the remainder when 22 is divided by b\/36 + 70\/8 + -1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -1001430 + -14?\nAnswer: -1001444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is next in 367, 1396, 3029, 5200, 7843, 10892?\nAnswer: 14281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -97413 + 48703 + 48710 - b**5 - 11*b**2 - 9*b**3 + 2191*b wrt b?\nAnswer: -20*b**3 - 54*b - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -8 + (1 + 3 - -13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 2 + 1 + -3 + (-3 - -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 124, 495, 1112, 1975, 3084, 4439, 6040?\n\"Answer: 123*f**2 + 2*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = -p + 6. Let c be a(7). Let f be -2*-3*c\/2. Is f at most as big as 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ab when two letters picked without replacement from fffffbjjjafjffjjbjcd?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2*(-1)\/(-7))\/(18\/126)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.043 - -0.057. Which is the second biggest value? (a) 4 (b) -0.1 (c) -0.8 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 26351 + 2139*o - 26351 in the form c*o + z and give c.\nAnswer: 2139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w = -30 + 14. Let s = w + 19. Suppose 0 = -3*q - 0 + s. Solve -3*v - q + 16 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = h + 11. Let i be b(-5). Suppose 5*r = -5*x, -i*x + 2*x - 2*r = 0. Factor x + 1\/2*y**2 - 1\/2*y**4 + 1\/2*y**3 - 1\/2*y.\nAnswer: -y*(y - 1)**2*(y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4*-4*(-1)\/(-56).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Put together 1165625621 and 0.4.\nAnswer: 1165625621.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8*q**2 - 3*q**3 + 12*q**3 + 15*q**3.\nAnswer: 24*q**3 - 8*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j be 2 - (14\/(-6) - -2)*0. Suppose j*t = 1099 + 529. Let b = t - 181. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 8*103\nAnswer: 824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3407?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -50\/81 and 137\/6?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 35029.\nAnswer: 23, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = v**2 + 4*v - 30. Let x be z(-8). Solve 4*t - 7*t = -w - 11, -30 = -5*w - x*t for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -20 - 1132332102?\nAnswer: -1132332122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -16? (a) -5 (b) 111\/44 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2847596 is divided by 87.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q = 23209\/6 + -3868. Which is the closest to 1? (a) -0.2 (b) q (c) -0.3 (d) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = k. Let m = -1 + -4. Let v = -1 - m. Let c(j) = 3*j - v*j - 7*j. What is c(u(w))?\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-2)\/(-14) + (-136)\/(-28). Suppose 4*o + 52 = 4*x, -3*x + 0*o = v*o - 47. Let l = x + 204. What is l rounded to the nearest ten?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 82 minutes before 6:11 AM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b = 19349\/12 + -1621. What is the common denominator of (-94)\/20 - (2 - 1) and b?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -826650 divided by 12525.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -29 = -3*x + 5*i + 8, 35 = 5*x - 3*i. Let c(w) = -2*w**3 - w**2 + w + 1. Let r be c(-1). Let v = x + r. Solve 4*s + 5*d = 3*d + 18, v*s = 5*d for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = -2*t - 5. Let m(i) = i**2 - 4. Let b be m(0). Let w be p(b). Solve 3*c + w = 6 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 48905 and 1.\nAnswer: 48905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 23*r - 9*r + 42 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (k**2 - 1 + 1)*(-1 - 2*k + 1) + 21*k - 21*k + 9*k**3 - 79*k**3 + 63*k**3 - 76*k**3.\nAnswer: -85*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*i = 5, 12*v - 9*v + 66 = -5*i + 110 for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d + 27 = -3*t + 5, -14 = -d + 5*t. Suppose 791 = 4*b - u + 2*u, -4*b - d*u = -788. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*w**2 - 7*w**2 - 5*w**2.\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 29 and 493.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Put 594\/160273, -2, 3 in descending order.\nAnswer: 3, 594\/160273, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 52181?\nAnswer: 52181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0.03 - -0.37. Let h = 9.2 + -9.9. Let g = -0.87 - h. What is the fourth biggest value in 4, g, -1, u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 75351659 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round -128094800 to the nearest 1000000.\nAnswer: -128000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 59 minutes after 12:45 AM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Convert -121d14 (base 14) to base 13.\nAnswer: -189259","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -23596, -47241, -70890, -94543?\n\"Answer: -2*j**2 - 23639*j + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Add 0.234 and 0.1257.\nAnswer: 0.3597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 b when four letters picked without replacement from {b: 9, w: 3}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 573?\nAnswer: 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o = -f + 361, -2*f - 183 = 5*o - 861. What is the units digit of f*((0 - 0) + -1)\/(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 221 is divided by 70.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r be (8 - 8) + 21\/(-3). Let l(z) = -z**3 - 6*z**2 + 11*z + 27. Let w be l(r). Let d be 18\/5 + (-2)\/(-5). Put d, 0, 1, w in descending order.\nAnswer: d, 1, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) be the third derivative of 5*j**7\/14 - j**6\/120 + 541*j**5\/30 - 1420*j**2. What is the third derivative of x(g) wrt g?\nAnswer: 1800*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2582022?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t + 56 = -6*z + 8*z, -2*z - 10 = 0. Find the common denominator of 4 + 4\/(-24)*79 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 w and 1 p when three letters picked without replacement from {k: 3, x: 2, n: 2, w: 4, d: 2, p: 1}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 + 1 = -3*m. Find the common denominator of (-632)\/(-16)*m\/(-8) and -113\/18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.1865 and 0.03.\nAnswer: -0.005595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = -b. Let m be a(-2). Let j be 21*(m - 0)\/6. Let v = -6 + j. Calculate the greatest common factor of 6 and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 111 minutes after 11:05 AM?\nAnswer: 12:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 2*5\/(-20)*4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 422\/53 - ((-9920)\/400 - -26)\/(6\/40)\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v - 2319227 - 4351324 = 0. Let d = 5676483 - v. What is d rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 398 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t = -4894.7 + 4895. What is the fourth smallest value in -0.11, -0.1, 1\/3, -8\/7, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = w + 0*w + 2 - w**2 + 0*w**2. Let q be r(2). Let y = 0.547 + -0.047. Which is bigger: q or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 17414\/55 - 1594\/5. Calculate the common denominator of q and 38\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1689\/55, -8\/17, 1 in increasing order.\nAnswer: -1689\/55, -8\/17, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*o - 4*j - 12 = -8*o, o - 3 = -j. What is the least common multiple of o and 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00002805 rounded to seven decimal places?\nAnswer: 0.0000281","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) be the third derivative of -v**5\/10 + v**4 + 10*v**2. What is the second derivative of i(r) wrt r?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 0, -2, -4, -6, -8?\n\"Answer: -2*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 + 1 = -r. Suppose -4*i + 94 = 4*o + 22, r*o - 85 = -5*i. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = -7*c - 1. Let i(u) = -3*u - 18829. Give i(p(z)).\nAnswer: 21*z - 18826","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n be ((-1)\/(-3) - 0)*15. Suppose -5*l = -6*i + 2*i - 153, 2*l + n*i - 81 = 0. Let u = l - 29. Let s(w) = w**3 - 3*w**2 - 7*w + 6. Give s(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 16 = -2*z + 14 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = -m + 2. Suppose 0 = 2*p + i + 25, -3*p + 5*i = i + 10. What is the units digit of y(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.6 + 0.1. Suppose 4*j - 2*j + 9 = 3*t, 3*t + 2*j - 9 = 0. Which is the nearest to -2? (a) 0.1 (b) t (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2 a factor of 5925366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) 1 (b) 1.5 (c) 16\/75 (d) -481\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y be (1\/2)\/(717\/(-180) - -4). Calculate the remainder when (-28)\/6*y\/(-7) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = -632*m + 1545. Give h(6).\nAnswer: -2247","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -1dcd741 + 9?\nAnswer: -1dcd736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -355783 = 7708*j - 95992 + 79361 for j.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = m**3 + m**2 - m - 11. Let i be b(0). Let z = 11 + i. Suppose 8*c - 2*c + 0*c = z. Solve c*n = -n - 4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 3*l**2*m**3 + l**2*m + 2*l**2 - 30205*l*m**3 - 1018*l*m**2 - m**3 - 6*m**2 wrt m?\nAnswer: 18*l**2 - 181230*l - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 165 = 7*d + 137 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) be the second derivative of -f**4\/48 - 145*f**3\/24 + 4194*f. Factor y(i).\nAnswer: -i*(i + 145)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u*u**1\/u*u)**(-12))**(5\/4)*(u\/(u*u\/u**5)*u\/(u**(-2)\/u))**(-2\/29) assuming u is positive.\nAnswer: u**(-886\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: (0 - 115\/(-2)) + (-149)\/17880*180\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a = -15, y - 26 - 11 = 5*a. Calculate the remainder when y is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 118680091 > 118680092?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u = 3.6 + 1.4. Let h = -4 + u. Let k(r) = r**2 + 12*r - 3. Let a be k(-12). Put a, 0, h in ascending order.\nAnswer: a, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together 0.3045725158 and -0.1.\nAnswer: 0.2045725158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = -j**4 + j**3 + j - 1. Let h(n) = -4*n**4 + 5*n**3 + 5*n - 16. Let m(r) = -5*f(r) + h(r). Differentiate m(o) with respect to o.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 18\/(-21)*(420\/9)\/10. Let o be (52 + -56)*5\/j. Solve 30 = p - 5*g, p + g - o = -p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4 = 2*q + 4*z, -q - 5*z + 5660 - 5652 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 50643 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-58)\/522*(-147)\/(-4)*2\/(-7)?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express (-11*p - 2*p + 10*p + 8*p**2)*(p**2 + 0*p**2 - 2*p**2)*(-2 - 3 + 2) in the form t*p**4 + a*p**2 + k*p + y + f*p**3 and give t.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -394, -787, -1180?\nAnswer: -1573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -463433*y**2 - 386485?\nAnswer: -926866*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 427*j - 441*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:24 PM and 5:34 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = -o**2 + 72. List the prime factors of w(0).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 50*-569\nAnswer: -28450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0337 rounded to 3 dps?\nAnswer: -0.034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Does 75 divide 1782\/4 + ((-1)\/2)\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 4 + 10 + 2 - 0. Let a(t) = t**2 - 9*t - 13. Let d be a(y). Calculate the highest common divisor of d and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in -3, 0.3, -0.12, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 13467748 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = j**3 - 16*j**2 - 84*j + 84. Let t be g(20). Solve -5 = -3*x - t*b, -5*x + 3*b + 8 + 10 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*t**2 + 4*t**2 + 2*t**2)*(-8 + 1 - 10) + (23 - 23 + 3*t)*(-4*t + 3*t + 0*t).\nAnswer: -190*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 5166106 and 709676.\nAnswer: 2794","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = x**3 - 4*x**2 + 4*x - 5. What is the remainder when g(4) is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -7464 and 1.4377.\nAnswer: -10730.9928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 3174 or -167?\nAnswer: 3174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 93 is divided by 26?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express (5 + 2 - 4)*(-5*b**4 - b**4 + b**4) + 2*b**4 - 2*b**4 - 1 + 3*b**4 as p*b**3 + a*b**2 + w + g*b**4 + h*b and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put -3\/10, 3386, 2676 in descending order.\nAnswer: 3386, 2676, -3\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*u = -4*u + 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = -o**3 - o**2 + o + 3. Suppose 0 = 5*q - 37 + 7. Let r(s) = 6*s - 6. What is the smallest common multiple of h(-3) and r(q)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -1\/3, 1, 62, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 14380 is divided by 804?\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 14909400 and 198?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 59065 is divided by 585.\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {j: 2, d: 7}. Give prob of sequence ddj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -7 + -1 + 3 + 2 - 0\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 146789962 to the power of 1\/2, to the nearest integer?\nAnswer: 12116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = 12*g**2 - 4*g - 3. Let m(x) = 12*x**2 - 5*x - 4. Let o(h) = -4*m(h) + 5*q(h). Let y be o(-1). Suppose -3*v = -29 - y. Is 15 less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express ((-4*y + 15*y + 17*y)*(2 + 2 - 3) + 19*y - 7*y + 7 - 10*y)*(y**2 + y**2 + 0*y**2) as v*y**3 + c*y**2 + m*y + j and give c.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m = -6 + 205.9. Let s = m + -200. What is the nearest to 2\/89 in s, 5, 1\/6?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 5\/138572 and -75\/108878.\nAnswer: 1524292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 62 (base 11) to base 7\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*w - 2*w + 20. Let j(d) = -d - 5. Let y be j(-7). Solve -6 = -w*t + y*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.08 in -5, -3, -0.5, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s = -40665\/21889 + 2\/3127. What is the common denominator of (1\/4)\/(1\/(-81)) and s?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-135 - -119) + -13 + 62.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {m: 2, c: 1, z: 1, l: 2}. What is prob of sequence lmzc?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 9\/28, 0.0745, 2 in descending order.\nAnswer: 2, 9\/28, 0.0745, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 10\/(20\/(-6)) + 225.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = -y**2 - 4*y - 2. Let l be i(-4). Let w be (-2 - -1) + (-38)\/l. Suppose o - 4*o = w. Is -5 greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -4701, -4687, -4663, -4623, -4561, -4471, -4347, -4183?\n\"Answer: r**3 - r**2 + 10*r - 4711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v = 45 + -40. Suppose -4*u + 2739 = -v*t, -4*t = -0*u - 5*u + 3435. Let k = 1163 - u. What is the highest common divisor of 59 and k?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -2 - 202110220001?\nAnswer: -202110220010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-2)\/(-5)*27 + 54\/270. Suppose 12*h - 13*h = -3. Suppose h*l = -3*j, j + 3 = -l - l. Solve 3*o + t + r = 0, -2*t = -o + j*o + 10 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 517 is divided by 87?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2598, 3764, 5706, 8418, 11894, 16128?\nAnswer: 21114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((p**(4\/7))**47)**(-2\/13))**(-1\/6) assuming p is positive.\nAnswer: p**(188\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 6828?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -41, -69\/2, 0?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort -49, 3, 5\/3, 0.5, 1 in descending order.\nAnswer: 3, 5\/3, 1, 0.5, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {t: 1, g: 1, u: 6, p: 2, l: 2}. Give prob of picking 2 u and 1 p.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-130 - 30 - 196)*(z + 0*z + 0*z) - z - z + 0*z to the form d*z + o and give d.\nAnswer: -358","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Divide 21696 by -339.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 15568 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in 7, 190649, -0.3, -6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = -787*c + 17446. Give s(22).\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 677444.\nAnswer: 2, 169361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand -d + 3*d**3 + d + (-5*d**2 - 2*d**2 + 5*d**2)*(0*d - 2*d + 0*d).\nAnswer: 7*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = -20*w**3 + 16*w**2 - 12. Let z(p) = -p**3 + p**2 - 1. Suppose -2*a - 80 = 3*a. Let r(v) = a*z(v) + c(v). What is the first derivative of r(y) wrt y?\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 1 + 0*n**2 + 589984*n**4 - 2*n**2 - 589986*n**4 - 1 - 662*n**3 + n as q + l*n**2 + y*n + p*n**3 + c*n**4 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 19*j + 37 = -58 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w be 568\/32 - 15\/(-12). Which is smaller: w or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find f such that -f**4\/6 - 1349*f**3\/6 - 454859*f**2\/6 + 1349*f\/6 + 75810 = 0.\nAnswer: -684, -665, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) be the third derivative of -b**4\/24 + 12*b**3 - 17*b**2 - 242*b. Give v(14).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 2, 5 in descending order.\nAnswer: 5, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 662870*z**2 + z + 663309.\nAnswer: 1325740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 29347, 234852, 792643, 1878856, 3669627, 6341092, 10069387?\n\"Answer: 29356*x**3 + 7*x**2 - 8*x - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in twenty-one halves of a meter?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 236 and 60829.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 124793029 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -23449205 take away 0.05?\nAnswer: -23449205.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*y + 3*y = 0, -s + y = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 3\/4? (a) -0.1 (b) -7768 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = -3*k**3 - 31*k**2 - 28*k - 32. Let x(d) = -d**3 - 10*d**2 - 10*d - 12. Give -3*n(c) + 8*x(c).\nAnswer: c**3 + 13*c**2 + 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) be the second derivative of 18 - 1\/4*o**4 + 6*o**2 + 3\/2*o**3 + 4*o. Let g(a) = 0. Calculate a.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 457958400.\nAnswer: 2, 3, 5, 67, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j = -5*l, 5*l = 160*j - 165*j. Solve 563*f - 568*f - 5 = l for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 15 (b) -147093 (c) -2 (d) 0.14 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert 627090.8 milliseconds to microseconds.\nAnswer: 627090800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -23469, -46940, -70411?\n\"Answer: -23471*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -1200 - 2001001?\nAnswer: -2002201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is ((-39)\/(-26))\/((-15)\/40)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 19 - 11 - 19 - (3 + 1)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c be 56\/6*3\/(-2). Let l be (-699745)\/(-210) - (-4)\/c. Let j = l + -3344. What is the common denominator of j and -71\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 14971 and 4083?\nAnswer: 44913","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bub when three letters picked without replacement from bouubobbobzbubzbb?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is (-2 + (-54)\/(-24))\/((-18)\/(-8))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -3\/2? (a) 0.5 (b) 0.1 (c) -1\/57 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 41 = 4*r - 28*q + 35*q, 2*r = q + 25. Solve -4*c - 10 = 14*v - r*v, 0 = v + c + 4 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 64089 is divided by 319.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {j: 2, z: 1}. Give prob of sequence zj.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x = -4282.02364 + 4282. What is x rounded to 3 dps?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 181 minutes after 4:35 PM?\nAnswer: 7:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*a + 12 = -7*a, -a = k + 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2387014?\nAnswer: 2, 7, 53, 3217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h = -41 + 38. Put h, 0.2, -7 in descending order.\nAnswer: 0.2, h, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2916 divided by 5?\nAnswer: -2916\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1000927 - 500442 - 500485 - 71*o.\nAnswer: -71*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from jmmjmm.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.8 + 3.8. Let q = -570.7425 + 570. Let x = -0.0575 + q. Which is greater: z or x?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) be the second derivative of 11*k**3\/6 + 2*k. Let y(d) = 0*d + 4*d + d. Let w(m) = m**2 + 7*m + 7. Let r be w(-5). What is r*j(q) + 7*y(q)?\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 9168539 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5 + 10 - 17 + 10 - 5*y**3.\nAnswer: -5*y**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence vv when two letters picked without replacement from {v: 3, w: 7}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 25238 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f = -4.64 + 0.14. Let h = f - -4.31. Let c = -0.19009 - h. Round c to five decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.2 in 80, -8, 22\/5?\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Work out 7 * 167265.\nAnswer: 1170855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 3 in 3461, 0.5, 0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (27*m - 38*m + 21*m)*(0 - 3*m + 0) + m**2 - m**2 - 2*m**2.\nAnswer: -32*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.85 - -0.75. Let z = -0.1 - -0.2. Let p = 4\/33 - -17\/132. Which is the nearest to z? (a) q (b) p (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in 1, 1\/2143, 3\/4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*s + 3*w = 3*s - 110, -5*s = -2*w - 524. Let v(l) = l**2 - 31*l - 2598. Calculate the lowest common multiple of s and v(69).\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 69455675?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 392678, 785355, 1178032, 1570709?\nAnswer: 1963386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 19809772?\nAnswer: 2, 4952443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 625 and 2000.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 45 + -1541?\nAnswer: -1452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c = 9 - 16. Let g(t) = t**3 + 2*t**2 - 7*t - 7. Let u(a) = a**3 + 2*a**2 - 6*a - 6. Calculate c*u(j) + 6*g(j).\nAnswer: -j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: (((-3)\/3)\/1)\/((-75)\/(-2175))\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 35692 + -4107. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 147\/566 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*n - 3*w + 22836, 2*n - 4*w - 1558 - 13702 = 0. What are the prime factors of n?\nAnswer: 2, 13, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = 2*o - 5. Let u be t(4). Let g(i) = -i - u - 2*i**3 + 0*i**3 + 3*i**3 + 4*i**2. What is the units digit of g(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = 58 + 0*r**2 + r**2 - 23*r - 3*r + 0*r**2. Determine o(24).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-171)\/(-33) - 30\/36*6?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 16770419 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {e: 2, b: 2, a: 4, u: 2}. Give prob of sequence abab.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) = -u**2 + 156*u - 2526. What is h(32)?\nAnswer: 1442","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) be the first derivative of 0*j - 33\/5*j**5 + 0*j**4 + 0*j**2 + 6*j**3 - 12. What is the third derivative of g(w) wrt w?\nAnswer: -792*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 94011 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*r + 6*r - 4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -4 + -18?\nAnswer: -1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*v + 28 = -7*v. Suppose m - 246 = -2*d, 0 = -v*d - 13*m + 12*m + 496. Let b = d + -120. Which is smaller: b or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*n - 72 = -6*g, -3*n + 38 = -11*g + 15*g for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = -2*j + 26. Suppose 12858*d = 12857*d + 9. What is z(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -10679, -21361, -32041, -42719, -53395?\n\"Answer: x**2 - 10685*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -348148.991 rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in 943.6466 weeks?\nAnswer: 158532.6288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 35377*s - 35367*s - 150 = 0. Suppose -5*l + 5*o = -26 - 4, 0 = o + 4. Solve -3*w - l*w = -s, -4*w + 10 = x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w - 2 = -5*s - 12, 3*w + 5*s - 46 = 0. Suppose 3*o + 4 = w. Sort 0, o, -3 in descending order.\nAnswer: o, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -110010100010010100011 (base 2) to base 8.\nAnswer: -6242243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*f**2 + 650*f - 645.\nAnswer: -5*(f - 129)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Work out 5944 * 0.08.\nAnswer: 475.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*g = -a - 4 + 28, 4*a = -2*g + 24. Let j = -231 + 230. Let y = g - j. Put y, 1, -3 in decreasing order.\nAnswer: y, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 4817238, 9634476, 14451714, 19268952, 24086190, 28903428?\nAnswer: 33720666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = 2*h**2 - 61. Let a(y) = y. Determine a(j(x)).\nAnswer: 2*x**2 - 61","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {f: 2, n: 5, a: 3, l: 9}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -g**2 + g**2 + 21*g**3.\nAnswer: 21*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (-8)\/4 + 4 + 165.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = -8*n**3 + 27*n**2 + 2*n + 45. Let s(m) = -5*m**3 + 13*m**2 + m + 23. Let y(v) = -3*d(v) + 5*s(v). Give y(-16).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 573, 577, 581, 585?\nAnswer: 589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-13)\/(-156)*-2)\/((-3)\/12).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1502, 1525, 1550, 1577, 1606?\nAnswer: 1637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 s, 1 o, and 2 n when four letters picked without replacement from {o: 1, t: 1, s: 10, n: 7}?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-2)\/5 - 8\/(-20). Suppose -a - 6 = -m. Is 52\/a*(-5 + 2) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*((-3*(2*sqrt(176) + -3) - (3*-2*(1 + sqrt(176)))**2) + 3).\nAnswer: 1872*sqrt(11) + 38160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = -2*h + 33. Let y be j(0). Let t = y - -4. Suppose 5*x + 23 = 3*s - 22, 12 = 4*x. Calculate the remainder when t is divided by s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:11 PM and 8:16 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate 790 divided by -203173.\nAnswer: -790\/203173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 49.30715 milligrams?\nAnswer: 0.00004930715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**(-21)\/(q*q*q\/(q*((((q\/(q\/(q*q\/(q*q\/(q**(-9)\/q)))*q*q))\/q)\/q)\/q)\/q)))\/(q**(-31)\/q**(4\/23)) assuming q is positive.\nAnswer: q**(-180\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v + 0*v = -15. Let m be v\/9 - (-25)\/15. Calculate the greatest common divisor of m and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-2)\/((-36)\/266) + 41\/((-4797)\/(-26))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) be the first derivative of -1\/7*h**2 + 2\/35*h**5 + 1 + 1\/7*h**4 + 2\/7*h - 4\/21*h**3 - 1\/21*h**6. Determine y so that z(y) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -192613, -192818, -193023, -193228?\nAnswer: -193433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence prr when three letters picked without replacement from ggrgnpfnrgeegnnnn.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Put 59, -35639, 3, 12 in descending order.\nAnswer: 59, 12, 3, -35639","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 19\/180 and 103\/162.\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s = -59 + -261. Let l = -318 - s. Solve -1\/2*q**l + 5\/2*q - 3 = 0 for q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (-6 - -5264) + -2 + 5 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*x + 52 = -254. Let j be (x\/30 - 3)*5\/(-2). Is 771 + (-45)\/24 + (-2)\/j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = y + 3*y + 40. Let f be (-4)\/10 - 644\/y. Suppose 0*n - 4*n + f = 0. Does 16 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 23 + -19. Let g = 143\/7 + -21. Let p = 29 - 28. Put j, g, p, 5 in ascending order.\nAnswer: g, p, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 37 is divided by (-43)\/(-5) + 0 + (-3)\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 9138.\nAnswer: 2, 3, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = g - 7. Let h be u(6). Let s be (-180)\/(-18)*1\/(10\/12). Let a be 1 + h*2\/s. Do 1 and a have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from wwztjzwjgjjjzrg. Give prob of sequence rzw.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -2000 + -4?\nAnswer: -2004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r = 15 + 21. Suppose i - 3222 = 7*i. Let z be (-2)\/120*i + (-2)\/10. Which is smaller: r or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 0 + 2*(0 + 1). Let q(x) = 3*x**2 - x + 2. Let g be q(a). Suppose 0 = 6*y - 333 - 243. Calculate the greatest common factor of g and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1 and 19?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 3 divided by -3573774\nAnswer: -1\/1191258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = -2454*s**5 - 38*s**2 + 6*s - 7. Let q(o) = -o**2 - o + 1. Let b(z) = -14*q(z) - 2*u(z). What is the third derivative of b(l) wrt l?\nAnswer: 294480*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1188603931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 1386 and 9?\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = 7*l + 10. Determine b(-6).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = -2*t. Let m(b) be the first derivative of 271*b**3\/3 + 7747. Calculate m(q(a)).\nAnswer: 1084*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 o and 1 g when three letters picked without replacement from xoxxgxxgxoxo?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 993, 5246, 16795, 39288, 76373, 131698, 208911, 311660?\n\"Answer: 608*l**3 - 3*l + 388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i = -43599 + 67990. What is the thousands digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 317 - 161. Is x a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -8 + (-96 - -17) + 54\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 4 times 2227742?\nAnswer: 8910968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 517 minutes before 7:04 PM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 1 - -11313?\nAnswer: 11320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = -76*t**3 + t**2 + 2*t + 2. Let p = 33 + -34. Let v be x(p). What is the highest common factor of v and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) be the third derivative of 2\/21*l**3 + 3*l**2 + 0*l**5 + 1\/420*l**6 - 1\/28*l**4 + 0*l + 0. What is c in d(c) = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-61)\/(-24400)*100*32\/(-34).\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1.1 - -2.1. Let u(d) = -3*d + 34. Let b be u(11). Let x = 0.3 - 0.2. What is the nearest to b in q, 3, x?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t - 6 = -0*t, -5*u = t + 2. Suppose o + 1 = -5*k, 4*o + 4 = -4*k - u*o. Let b(p) = p + 2. Calculate b(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = b**3 - 4*b**2 + 7. Let x be o(3). Let k be x - 24\/(-15) - (-1596)\/(-10). What is k rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {m: 1, j: 2, f: 7, u: 4, y: 4, x: 2}. Give prob of picking 1 j, 2 u, and 1 m.\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = -t**3 - 157*t**2 + 490*t + 1589. What is j(-160)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from urueerelperuup. What is prob of sequence leep?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = -35*k - 1. Let n be v(-3). List the prime factors of n\/(-1*(-4 - -2)).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = -x**3 - 6*x**2 + 6*x - 5. Let g be s(-7). Suppose -5*t + 2*n = -0*t - 30, n - 3 = -2*t. What is the units digit of (t\/6)\/(g\/21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -12 + 10 + (-9 - -8 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-6)\/(-117))\/(((-310)\/60)\/31).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d = 176 - 170. What is the highest common divisor of 48 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 64*u - 2*p = 67*u, 5*p = 15 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = -z**3 - 8*z**2 + 6*z + 13. Calculate j(-8).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-1)\/((-4)\/3 + 1). Suppose 3*p - f = -3*h, -3*h - p + 2 = -3. Factor 4\/3*n - 2\/3*n**h - 2\/3.\nAnswer: -2*(n - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.5 - -6195329\nAnswer: 6195328.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 81158131 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -3835, -2314, 331, 4190, 9353, 15910, 23951?\nAnswer: 33566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2*t**6 - 20*t**5 + 27*t**4 + 4611*t**2?\nAnswer: -240*t**3 - 1200*t**2 + 648*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 x when three letters picked without replacement from dqdxxddqdxxxxx?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.05 - -0.0625. Let h = 0.25 - 0.24. Let w = h - j. Round w to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 241 + -2649\/11. Let n = 1.5099 + -0.0099. Let m = -554\/7 + 79. What is the second biggest value in i, m, n?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -4 - -8. Let z(k) = k**3 - k**2 - 10*k - 6. Let t be z(y). What is the remainder when 4700\/30 - t\/12*4 is divided by 53?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -101 + -110011010?\nAnswer: -110011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d be (0 - 1)*(-12 + 214)*1. Is (1717\/d)\/(1\/(-122)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -2114 - -10618\/5. Suppose 4*a - 4*n - 20 = 0, 0 - 12 = -3*n. Which is smaller: f or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**(2\/51))**17\/((y\/(y**2\/y*y))\/y*y\/(y**(5\/4)*y)*y**(-6\/19)) assuming y is positive.\nAnswer: y**(965\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} {"text":"Question: Express -86*c - 50*c - 92*c - 17*c as m*c + x and give m.\nAnswer: -245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 1.34 + 3368569380\nAnswer: 3368569381.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 651 is divided by (-1928)\/(-12) - (14\/(-42) - 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1182 - 1176. Let h(o) = -o**3 - 21*o**2 + o + 16. Let s be h(-21). Which is the second biggest value? (a) 17 (b) i (c) -3 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5586*b + 4776 = 71422 + 67763 - 5931 for b.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express w**3 - 19 + 3*w**3 - 11 + 60 + 9 in the form x*w**2 + y*w + d + a*w**3 and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -0.034792463 + -21.3\nAnswer: -21.334792463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*k + 170433*t = 170436*t + 14, -2*k + t = -8 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence vh when two letters picked without replacement from heve.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -50ad6 - 53?\nAnswer: -50b39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand 9*m**4 - 7 + 7 + (3 - 3 + 3*m**2)*(-4*m**2 + 0*m**2 + 6*m**2) - 16*m**4 + 64*m - 64*m.\nAnswer: -m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is ((-10)\/(-20))\/(3 - (-38)\/(-8))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*c**4 - 3*c**4 - 2*c**4 + (2 + 2 - 3)*(11*c**4 - 4*c**4 + 0*c**4))*(18*c - 31*c + 99*c + 39 - 28*c).\nAnswer: 290*c**5 + 195*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*v = 0, 0*t + 2*t = -5*v for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -29, -18, 27, 100, 195, 306?\nAnswer: 427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {b: 6, i: 8, m: 3}. Give prob of sequence mi.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 51?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -17, -194, -671, -1598, -3125?\n\"Answer: -25*o**3 - 2*o + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 154242319 and 2702.\nAnswer: 1351","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -935905*q**2 + 1167784*q?\nAnswer: -1871810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1556?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(484) + 2*sqrt(484))*6)\/(sqrt(200)*1 + sqrt(18)\/(sqrt(27)\/sqrt(3)))*2*3.\nAnswer: 108*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = -15*p + 33. Let a(d) = 7*d - 16. Let j = 44 - 50. Let n(i) = j*w(i) - 13*a(i). What is n(10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22 = -n - 114. Let m be 2058\/15 + (-3)\/(12 - -3). Let o = m - n. What are the prime factors of o?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -i**3 + 37*i**2 - 195*i + 279 = 0. Calculate i.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) 0 (b) 1911.31 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put together 3.97 and 2794842929.\nAnswer: 2794842932.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l + 2*v + 0*v = -26, 3*l + 3*v - 3 = 0. Calculate the remainder when 2*((-10)\/4 + l) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 698387.957 + -695085.9567459. Let t = -3302 + g. Round t to five dps.\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1653012672 to the nearest integer?\nAnswer: 1182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1729 or 1726?\nAnswer: 1729","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 94.576 milligrams?\nAnswer: 0.094576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-4 - -4) + 10 + (-501 - -501) - (-2 - -9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) be the third derivative of -5*b**8\/336 + b**7\/6 - b**6\/3 - 4*b**5\/3 + 26*b**2 + b. Let j(l) = 0. Calculate l.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 18*c**3*m + 625*c**3 + 32*c**2*m**3 - 9367*c*m**3 - 171*c*m**2 wrt c.\nAnswer: 108*c*m + 3750*c + 64*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 132122 - -123210?\nAnswer: 321332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate -35190456 divided by 4.\nAnswer: -8797614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort -460, 7\/5, 3 in ascending order.\nAnswer: -460, 7\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate 8 + (2 + -15 - 3).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 5232 and 1623228?\nAnswer: 1308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand -18*u**5 + u**5 - u**5 + (3*u - 4*u + 2*u)*(u**4 + u - u) + 4*u**5 + u**2 - u**2.\nAnswer: -13*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**(3\/11)\/b*b*b**5)**(-12) assuming b is positive.\nAnswer: b**(-696\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round -48053000 to the nearest one million.\nAnswer: -48000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s - 4 = 2, 2*m = -5*s + 4. Suppose -h - 4*a + 14 = h, 2 = -4*h + 2*a. Let d be -6*3*h\/6. Is m != d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-5 + -1 + sqrt(300))*-4)**2.\nAnswer: -1920*sqrt(3) + 5376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -66\/7? (a) 18\/5 (b) -5 (c) 3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2210988, -2211068, -2211148, -2211228, -2211308?\nAnswer: -2211388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let 2*p**2 + 113455744*p + 1609025730824192 = 0. Calculate p.\nAnswer: -28363936","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-16)\/(-6) + (-3)\/(-9) - -238. Let q be d + 0 + 0 + -2 + 3. Solve 233*c**4 + 4*c - 3*c**2 + c**5 + q*c**4 - 472*c**4 - 5*c**3 = 0.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 206436943 to the power of 1\/5, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 25935946 to the power of 1\/2, to the nearest integer?\nAnswer: 5093","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 152833 (base 9) to base 12\nAnswer: 46486","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*m + 63 - 91 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify j\/j**(2\/3)*j**(-1\/6)*j\/(j*j\/(j\/(j**(-2\/13)*j)))*j\/j**(1\/5) assuming j is positive.\nAnswer: j**(47\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 342 minutes before 8:38 PM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i - c - 6 = c, -2*c = -i. Suppose -n - 6 = -2*b, -i*n + n - b + 9 = 0. Solve n*d + 6 = d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = -9*v**3 + v + 5. Let n(h) = 4*h**3 - 3. Determine -5*n(m) - 3*o(m).\nAnswer: 7*m**3 - 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 42513 and 297591?\nAnswer: 297591","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = -3*p + 8. Calculate the remainder when d(-5) is divided by 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 7183 or 7981?\nAnswer: 7981","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -27889464 * 5\nAnswer: -139447320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = 4*m**2 - 8*m + 1. Suppose 0 = -w - 4*k - 1, 4*k + 14 = -5*w + 41. Is j(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) be the third derivative of -17*d**6\/120 + d**5\/30 + 271*d**4\/24 + 333*d**2. What is the second derivative of j(b) wrt b?\nAnswer: -102*b + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 277332 divided by 936.\nAnswer: 23111\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 6861903 divided by -27?\nAnswer: -2287301\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {l: 2, e: 1, f: 1, m: 2}. Give prob of sequence mf.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/(((-4)\/(-10))\/(28\/175))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 107 minutes before 6:38 PM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 18735 is divided by 50?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.5*-8042836.\nAnswer: 4021418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Divide -70512 by 26.\nAnswer: -2712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y be 0 - 2 - -3 - -1. Suppose -3*s + 8*s = 2*i - 16, -3*i = y*s - 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: Suppose -4*s + 2*j + 20 = 0, 4*s - 2*j + j = 16. Suppose 5*w = -2*a + 30, 0*w + s*w = 12. Solve -y + r + 5 = 0, -r = 3*y + a - 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -34704 + 34758. Let i = 11 - 7. What is the nearest to p in i, 3, 0.4, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3.31 times -14990?\nAnswer: 49616.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor -d**2 - 2*d**2 + 98*d**3 - 3*d + 3*d**4 - 95*d**3.\nAnswer: 3*d*(d - 1)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 548 is divided by 123.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -5257 (base 13) in base 2?\nAnswer: -10110010000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2228184 is divided by 2603?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is ((-7)\/(-7))\/(905589\/(-3622404) + 2\/8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*t - 9*t - 96 = 0. Is (16\/t)\/(6\/(-189)) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -6 (b) -0.18014 (c) -2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -m - 3*m**4 + 6 - 5 - m**2 + 0*m**2 to n + g*m**2 + k*m + t*m**4 + u*m**3 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 64900?\nAnswer: 2, 5, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b = -3841 + 3835. Let g = -221\/3 + 73. What is the closest to b in 2\/7, -5, g?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 0 - 1)*(-2 + 6 + 0)*(-2 + 2 - h**2).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = -t**3 - 21*t**2 - 36*t + 36. Let l be u(-19). Calculate the common denominator of 87\/44 and (1281\/56)\/(5 + l).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*r = -94 + 633. Does 35 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -442 (base 5) to base 2.\nAnswer: -1111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = s**3 + 6*s - 3. Calculate r(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) be the first derivative of a**4\/4 + 79*a + 1. Is w(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7 - -8 - (-6 + 9) - -17.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) be the third derivative of k**5\/15 + k**4\/4 + k**3\/6 + 25*k**2. Let v be d(-2). Solve 4*q = -v*p - 21, 2*q - 2*p - 8 = 4*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -3046 or 2.3?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/4? (a) -2.6 (b) 4\/5 (c) 2 (d) 11\/2 (e) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -751676*d**2 - 76*d - 1460 wrt d.\nAnswer: -1503352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 396 - 199 + 2*i**3 + 47*i - 197.\nAnswer: 2*i**3 + 47*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -2\/7 (b) 0.2 (c) -0.3 (d) -531 (e) -2 (f) -50 (g) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-3)\/(-42) - (-4)\/(-56). Suppose 35*z - 22 - 48 = u. What is the closest to z in -0.5, -5, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 69312, 57993, 46676, 35361, 24048, 12737?\nAnswer: 1428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-69)\/(-2) - (-10 + -4 - (-26)\/((-260)\/(-270)))?\nAnswer: 43\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify f**27\/(f\/(f*f*f**0*f)) assuming f is positive.\nAnswer: f**29","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = -187*m + 7. Calculate a(1).\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -109*j + 13 = 340 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q = 11.33 - 9. Let l = 103.33 - q. Let b = 100.7 - l. Sort b, 0.1, -20.\nAnswer: -20, b, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 14*j + 3 + 22*j + 33*j - 21*j to k*j + h and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3344 - 0.5.\nAnswer: -3344.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*y**4 - 229*y**3 + 2639*y**2 - 11199*y + 15624 = 0 for y.\nAnswer: 3, 24\/5, 7, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.4 in 0.2163, -0.085, -2\/7?\nAnswer: 0.2163","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2985660 or -2985661?\nAnswer: -2985661","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*g + 4*q + 35 + 16, -g - 2*q - 25 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j = 5.6 + -0.6. Which is the nearest to 1\/4? (a) 0.06 (b) 4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:38 AM and 6:30 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 1845 and 219540.\nAnswer: 27003420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is six fifths of a tonne in kilograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify q*q**7*q**(-4\/5)*q**(-5)\/(q\/((q**4*q)\/q))*q\/q**(-1\/3)*q**5*q\/((q\/(q\/q**5*q))\/q)*(q\/q**(-2\/25))\/q*q assuming q is positive.\nAnswer: q**(796\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 1194268*h - 1192796*h + 5888 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -764*k + 2727*k + 938*k.\nAnswer: 2901*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 59852852.\nAnswer: 2, 17, 131, 6719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 4907233909 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put 1\/6, -0.6, -10, -0.0804, 0 in decreasing order.\nAnswer: 1\/6, 0, -0.0804, -0.6, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Convert 1 (base 11) to base 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 51*f = -13323914 + 110529914. What is f rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = 0*c**3 - 7*c**2 + 7*c**2 + 2*c - 7*c**3 - 1. Suppose -5*w + 9 = 44. Let z = 8 + w. What is t(z)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:13 AM and 12:05 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x + 4*o = -0*x - 665, 4*x - 880 = 2*o. What is the remainder when 7220 is divided by x?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -51077, -203061, -455953, -809747, -1264437, -1820017, -2476481, -3233823?\n\"Answer: i**3 - 50460*i**2 - 611*i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Determine k, given that -5*k**4\/3 - 3460*k**3\/3 - 602030*k**2\/3 - 397900*k - 198375 = 0.\nAnswer: -345, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand -i**2 + 2*i**2 + i**2 + (2*i**2 + i**2 - i**2)*(-4 + 2 + 0) + 3*i**2 - 10*i**2 - 2*i**2 + (-2*i + 0*i + 0*i)*(2*i - i - 2*i).\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1250)*2 + 3*sqrt(100)\/sqrt(2))\/(1*-2*sqrt(90)).\nAnswer: -13*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 65\/46368 and -85\/2944?\nAnswer: 185472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express -541*z - 503*z + 1045*z + 1353 as d*z + j and give j.\nAnswer: 1353","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1496 and 374.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u be -13 + (0 - -1 - 3). Let i be 0*(2 + u\/6). Is -2\/11 bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 61\/259 and -27\/4270133?\nAnswer: 4270133","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j = 16 + -16. Suppose 3*c + 0 + 15 = 0, -2*f + c + 221 = j. Calculate the highest common divisor of 12 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: (2109\/(-5624))\/((-10)\/96)\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 4 and -86\/915?\nAnswer: 915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((f\/(f\/f**(-13)))\/f)\/(f*f**(-5)))\/(f**(1\/2))**45)**(6\/29) assuming f is positive.\nAnswer: f**(-195\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = j - 4*x + 2*x - 9, -4*j - 5*x = 16. Which is smaller: j or -4\/31?\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 84\/16*((-132)\/72 + (-9)\/(-6))?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 45 and 29.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort -2176, 0.3, -2\/3, 1 in decreasing order.\nAnswer: 1, 0.3, -2\/3, -2176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = -60*q + 13. Calculate u(-1).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-90)\/(-132))\/((-90)\/(-825))?\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-14)\/4*(16\/56)\/(2\/12). Let n(v) = -v**2 + 5*v + 6. Let h be n(6). Sort h, b, -2 in ascending order.\nAnswer: b, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 2 (base 3) to base 10\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = -11.024 + -8.039. Let b = 33 + -14. Let c = b + s. Round c to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1747*b**3 - 2 + 2 - 1847*b**3.\nAnswer: -100*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*q - 4979*q**3 + 3*q + 4977*q**3.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = 14515*b + 295. Let l be y(7). Round l to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 1048850*w**2 + 959812*w - 2 wrt w.\nAnswer: 2097700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:44 AM and 9:03 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = 13*l**3 - 6*l**2 - l - 3. Let g(j) = -66*j**3 + 30*j**2 + 4*j + 16. Let o(r) = 3*g(r) + 16*t(r). Find q such that o(q) = 0.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5764*v**2 + 4*v**3 - 8*v**3 - 4*v**3 - 5935*v**2 + 171*v**2.\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve s + 294 = 3*s + 12*m + 62, 3*m = s + 64 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7054*u - 3125510 = -7064*u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -407 + 402. Put x, -2, -1\/5, -1, 1\/11 in increasing order.\nAnswer: x, -2, -1, -1\/5, 1\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -26168, -104738, -235700, -419054, -654800?\n\"Answer: -26196*n**2 + 18*n + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v = -5 + 4. Let h(n) = -2*n**2 + 10*n + 10. Let s(z) = z + 1. What is v*h(x) - 10*s(x)?\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -150893.156578928 + 0.3\nAnswer: -150892.856578928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 1393 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 16 + 9 - 8 - 17 - 112378*o.\nAnswer: -112378*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 13157, -1 in increasing order.\nAnswer: -1, 5, 13157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 1757360 (base 9) to base 13\nAnswer: 285567","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 - 24 = -8*n. Solve -n*s - 4*y - 14 = 0, -4*s = y + 3 + 18 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = 5*o**2 - 34*o - 7. Calculate the remainder when d(10) is divided by 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3 - (2 - (7 - 19))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d - 2*p = p - 5, 4*d + 5*p = 6. Let x = 0.35 + -0.05. Which is smaller: x or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1010 - 974 = -18*y. Let q(a) be the first derivative of -a**4\/6 + a**3\/6 - 2*a - 2. Let d(k) be the first derivative of q(k). Give d(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = 231146*z + 13. Let s(t) = -t. What is g(s(k))?\nAnswer: -231146*k + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = a**2 + 21*a - 14. Let q(l) = -1. Let s(w) = -3*f(w) - 24*q(w). Factor s(v).\nAnswer: -3*(v - 1)*(v + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) be the second derivative of o**7\/1365 + o**6\/260 - 14*o**2 - 12*o. Let w(m) be the first derivative of q(m). Solve w(t) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 11327*k = 11276*k + 1224 for k.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = f + 2*w - 74, -24*w + 22*w - 190 = -3*f. Let h = 59 + -121. Let q = h + f. Solve q*r - 25 = 6*r - 5*c, 3*r + c = -12 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = a - 3, -11 = -3*l + 5*a + 58. Suppose 4*d - 5*q = -0*d - l, -3*q - 28 = 4*d. Let z(h) = -h**2 - 7*h - 5. Determine z(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Add -32.3637 and 1949312.\nAnswer: 1949279.6363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -8 + -3 + (23 + -36 - -32).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1153 divided by 1048.\nAnswer: -1153\/1048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 54*m - 73 + 84 = -583 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 402 minutes after 5:37 PM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v**(-1))**(2\/19))**(1\/3)\/((v**(2\/3)*v*v**(2\/5)\/v)\/(v**(-4)*v\/v**6)) assuming v is positive.\nAnswer: v**(-2879\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve g**4\/3 - 235449*g**3 + 170186186*g**2\/3 - 3445802080*g + 3389308800 = 0 for g.\nAnswer: 1, 120, 706106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.03? (a) 5 (b) 0.2 (c) 280 (d) -5 (e) -139\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -53\/10094420 and 139\/6.\nAnswer: 30283260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p - 3 = f, 5*p + f + 3*f = -15. What is the nearest to -8 in -0.3, 0.3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 0 - -1*((5 - 3) + -2). Suppose s = o - 11*o + 120. Let z = o + -12. Solve -5*c + 2*c + 15 = z for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = -y**2 - 529 + 7*y + 529. Let m = 9 - 5. Suppose -4*i + 3 = -5*n - 15, 0 = -2*i + m*n + 6. Determine u(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -2933003, -2932990, -2932977, -2932964, -2932951, -2932938?\n\"Answer: 13*g - 2933016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 11*k**3*t - 25*k**2*t**2 + 6148*k*r + r*t**2 - 130*r*t + 397*r - t wrt k?\nAnswer: 33*k**2*t - 50*k*t**2 + 6148*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q = -474362.1 - -34614.1. Let d = 439739.99962 + q. Let h = 8 + d. Round h to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = p + 10. Let n be x(-7). Let c(w) = -2*w + n*w - 4*w. What are the prime factors of c(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -28 + 61. Suppose -5*x + w = -2*x. List the prime factors of x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -97193025.0102704 + 380390581.010286. Let f = t + -283197465. Let h = f - 91. What is h rounded to 6 decimal places?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 2*t + 5*t - t**3 - t in the form g*t + c*t**3 + a + j*t**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*g + 2*j - 28 - 49 = 0, -2*g + 54 = 4*j. Let z be ((-10)\/g)\/(2\/(-10)). Suppose z*o - 30 = -3*d + 39, 2*d - 57 = -5*o. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*z = 4*g + 80, 2*g + 51 - 11 = -2*z. Let a = 13 + g. Which is smaller: -5 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 18*u + 54 - 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r = 172 + -116. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:11 PM and 2:25 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0.107 + 59.893. Let k = p + -32. Let m = 27.99999981 - k. Round m to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = 444*x + 3544. Determine h(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g = 2449 + -2432.61. Let v = g + -1.99. What is v rounded to 0 dps?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 11*k**2 + 38*k - 381 wrt k?\nAnswer: 22*k + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l = i + 10, -3*l = -5*i - 52 + 26. What is the third derivative of -54*v**2 - 89*v**l - 5*v**2 + 24*v**6 wrt v?\nAnswer: 2880*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in -0.1, -108, 4, 3, 1653?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = -c**2 - c + 1. Let d(w) = 56*w**3 + 6*w**2 + 6*w - 6. Give -d(b) - 6*j(b).\nAnswer: -56*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 99*d - 278 + 80 = 0. What is v in 2 - 4\/3*v - 2\/3*v**d = 0?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2 - -9) + -22 + -10 + 11 + 10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*a - 12 = -7*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*sqrt(847)*-1 - sqrt(847))**2 - sqrt(847) - sqrt(847).\nAnswer: -22*sqrt(7) + 847","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Express 5*x + 7*x + 5*x + 0*x as i + t*x and give t.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is (-3 - 0) + 2 + 1 + -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round 53898 to the nearest 100.\nAnswer: 53900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is -6363 equal to 1210?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g = 7.85 + -8. Let z = g + -0.95. Let o = 1.10000059 + z. What is o rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1699.6 + 1699.3. What is the nearest to g in -54, -0.3, 3\/13, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -3\/112 in -18, 0.5, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 1 + q)*(0*q**2 - 3*q**2 + q**2)*(10*q - 6*q - 5*q).\nAnswer: 2*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 365 + 216?\nAnswer: 614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is next in 708335, 708337, 708339, 708341, 708343?\nAnswer: 708345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 19, 11, -1, -2 in ascending order.\nAnswer: -2, -1, 4, 11, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = -9*t**3. Determine i(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 117\/140420 and -73\/84.\nAnswer: 421260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from cdcddkkcsckcbd. What is prob of sequence sckb?\nAnswer: 5\/8008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 40075*s**6 + 12*s**4 + 1126958*s**2.\nAnswer: 4809000*s**3 + 288*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 6.87 - 7.5893\nAnswer: -0.7193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-27)\/(-36)*-4*(-2)\/(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor 42*f**3 - 129*f**2 + 93*f - 6.\nAnswer: 3*(f - 2)*(f - 1)*(14*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*g = 10*g - 4. Suppose 24 = -g*l - 6*l. What is the nearest to l in -0.1, 4\/7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -434965, -869948, -1304931?\n\"Answer: -434983*u + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t = -6, 4*q - t = -139 - 7. Let f = q + 34. Let j be f\/(-5 + 4 + 0). Solve j*m + 2*m = 0, 2*a + m = 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -45 + 47. Suppose 20 = 5*p, -3*b - t*p - 2*p + 19 = 0. What is b rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(90)\/(sqrt(3) - sqrt(27)))\/sqrt(6).\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 2 minutes after 7:41 AM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 15344 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-12)\/21 + (-4 - (-20)\/5)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {m: 1, c: 2}. Give prob of sequence cm.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 28\/3 of a decade in months?\nAnswer: 1120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*a**3 + 0 + 0 - 6*a**3.\nAnswer: -9*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = -3*u. Let q(d) = -d. Let c(v) = i(v) - q(v). Let k(s) = 0*s - 24*s**2 + 37*s - 38*s + s. Calculate c(k(j)).\nAnswer: 48*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express (4*k - 4*k + 4*k)*(-7*k - 483 + 964 - 485)*(0 - 1 + 4) in the form f*k + d*k**2 + p and give d.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = -19*b + 148. Give i(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 8898*-418\nAnswer: -3719364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4404 + 272 + 1451)*(-3*u - u + 0*u).\nAnswer: 10724*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i = -3.5 - -3. Let r = -0.122 + 0.082. What is the third smallest value in i, r, -2\/19?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*x**3 + 145*x**2 + 120*x - 7020.\nAnswer: 5*(x - 6)*(x + 9)*(x + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 100101110011110101110000 (base 2) in base 6?\nAnswer: 552235200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 2\/3, -4, -9, 1, -5\/4, 32\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h = 6*h - 44. Let i be -14 + 4284\/315 + -1 + (-6)\/10. Put -1, h, i, 3 in decreasing order.\nAnswer: h, 3, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -90558\/7 or -12936?\nAnswer: -12936","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = v**2 + 10. Let t be o(-7). Let j = t - 42. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q = -4*c + 8, 2*c + 7*q + 12 = 2*q. Suppose 0 = -c*d + 6*d - 64. Solve -3*u - d = -l - 3*l, 0 = -3*u + 2*l - 22 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4894*o + 163*o - 108181 = -666439 for o.\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-786)\/18733)\/(6\/(-26)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is -1 at most as big as -5\/5596728?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h = -30 + 39. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -12 + -12?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r**(-3\/8)*r**(-1\/15))\/(r**(1\/4))**(-5\/3) assuming r is positive.\nAnswer: r**(-1\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -138*h = -154*h - 64 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -22 times 31?\nAnswer: -682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 5410 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: How many nanometers are there in 0.6359187m?\nAnswer: 635918700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 77027 less than 77020?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) be the second derivative of h**6\/20 + h**4\/4 + 3*h**2\/2 - 2*h. Let m(l) be the first derivative of i(l). Find the second derivative of m(f) wrt f.\nAnswer: 36*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 414 divided by -23\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -0.07 and 217.74022?\nAnswer: 217.81022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -8612, -17110, -25500, -33782, -41956?\nAnswer: -50022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = 93*f**2 + 2*f - 1. Let y(j) = -j**3 - 10*j**2 + 10*j - 9. Let g be y(-11). Suppose -3*x - g*a - 6 = 3*a, 0 = -4*x + 5*a - 8. Is d(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 2, 8, 4, -9 in increasing order.\nAnswer: -9, 2, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1129 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a = 2985274 - -1934726. Suppose -16*n + a = -20*n. Let o be (-2 + 3 + 0)*n. Round o to the nearest one hundred thousand.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 3\/5 (b) 1\/8 (c) -19\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Factor -s**4 + 4*s**3 - 5*s**2 + 2*s.\nAnswer: -s*(s - 2)*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s = 357 - 452.6. Let a = s + 107. Let q = 11.4000071 - a. Round q to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 954?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c = -35.1 + 30.1. What is the closest to -3 in c, -2, -1\/11, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:24 AM and 4:26 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 12*n + 16*n**2 - 4 - 3*n**2 - 7*n**2 - 8*n**2 - 4*n**3 to the form z + g*n**3 + u*n**2 + i*n and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g + 13 = -1. Let u = 33 - g. Is u a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.4 less than 782167?\nAnswer: 782166.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 370379409?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -29\/25848 and 103\/74972124.\nAnswer: 149944248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 7, w: 5, n: 4}. What is prob of picking 1 n and 1 k?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Total of -134 and 1196043.\nAnswer: 1195909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c + 1 = 5*y - 38, 0 = -y + 3*c + 13. Let h = 52 - 21. Suppose 29 = 5*w - h. What is the remainder when w is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/5? (a) 0.5 (b) 4 (c) -2 (d) 3\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = -3*b**2 - 2*b - 6. Let g be r(3). Let f = g + 137. What is the remainder when f is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 1ff3cef - 5?\nAnswer: 1ff3cea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z + 1 + 4 = 0. Suppose -4*c + 209 + 182 = 5*d, d - 84 = z*c. Suppose t - 5*x = 18, -5*t = -3*x - 33 - d. List the prime factors of t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -444994.2 rounded to the nearest 1000?\nAnswer: -445000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 54 = 2*y + 4*n, -5*n = 6 - 31. Let p = 20 - y. Let s(v) = -v + 11. Let h be s(8). Solve 2*w = -5*k - 13 - h, 3*k + 18 = p*w for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = j**2 - 39*j + 1223. Let f be h(27). Solve -4*x = -f + 911 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 23 - 19. Suppose 6 + 14 = i*h. Suppose -h*v + 120 = -3*v. List the prime factors of v.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (5 - (8 + -11) - 6) + 6 + -14.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b = -21 + 37. Suppose 26 = 3*r - 0*r + 5*x, 0 = 4*r + 2*x - b. Let p(d) = -d**2 + 7*d - 4. Calculate the remainder when r is divided by p(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-126)\/98 - 4\/(-14).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 515*l + 933*l + 226*l.\nAnswer: 1674*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 4 - -1 - (-1 + (-56)\/(-6) + -2)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -3 + (4 - 3) - (-1 + -2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2283899 is divided by 46.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from akjzjja. What is prob of sequence azka?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q be 1 + (3 - (5 - 3)). Suppose -q = -u + 3. Find the third derivative of -8*g**2 - 95*g**5 + g**2 + 102*g**u wrt g.\nAnswer: 420*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 2325142?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 217840 to the power of 1\/2, to the nearest integer?\nAnswer: 467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = w**3 + 9*w**2 + 14*w + 12. Let g be d(-7). Suppose -g*a + 17*a = -55. Calculate the lowest common multiple of 16 and ((-1)\/2)\/(a\/44).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 4 + (-2)\/7 + (-25)\/35. Suppose -g - o = 1 - m, 0 = 2*g - o + 2. Suppose g = 3*a - 24 - 39. Does 21 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 592 minutes after 12:45 AM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 6 minutes before 10:37 AM?\nAnswer: 10:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {f: 3, m: 2, j: 1, i: 3, s: 1}. Give prob of sequence siii.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d + 0*d - 10 = 0. Let b be ((-52)\/12 + -5)*15\/d. Let x = 28 - 21. What is the highest common factor of x and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -44*c - 1330 = -49*c. Calculate the highest common divisor of c and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*o + 22 = a, 4*o = -2*a + 137 - 149 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-1932)\/(-690)*(-90)\/(-7). Solve 0 = -3*u + s - 15 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-402)\/(-1474) + 29800\/440?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -9367, -9373, -9379, -9385?\nAnswer: -9391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -75134877, -150269752, -225404627, -300539502?\nAnswer: -375674377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 8\/15 and -11\/3585.\nAnswer: 3585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort 2426, -163, 1 in decreasing order.\nAnswer: 2426, 1, -163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -31 (base 6) to base 7\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0*w - 5 + 3 + 3*w)*(3*w - 7*w - 7*w + 3*w + w - 6*w + (-3 + 1 + 3)*(4*w - 2*w - 3*w) - 1 + 2*w + 1) to the form o*w**2 + k + p*w and give p.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 275298 and 3774.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u = -2.58 - -0.18. Let i = u - -2.7. Which is the second biggest value? (a) 9 (b) 2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = 7*k**2 + 2*k + 20. Is d(17) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -812, -6535, -22074, -52337, -102232, -176667, -280550, -418789?\n\"Answer: -818*q**3 + 3*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = 3*t**3 + 37*t**2 + 2*t + 27. Let g(b) = 2*b**3 + 37*b**2 + b + 27. Let x(l) = -4*g(l) + 3*i(l). Calculate the remainder when 138 is divided by x(37).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 238.65 to the nearest 10.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((3*-1*sqrt(600) - (-3*(sqrt(600) + (-1*sqrt(600) - sqrt(600))) + sqrt(600)))\/((sqrt(72)*-1*-3)\/(sqrt(45)\/(sqrt(5)*-1))) + -5)**2.\nAnswer: -350*sqrt(3)\/3 + 1300\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0.024 - 13.324. Let v = o + 13.309. Let d = v + -5.209. Round d to zero dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -10284 + 14559. Is 77 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-3)\/(189\/(-98) - (-6)\/14). Let h(t) = -t**3 + 17*t + i*t**3 - 6 - 23*t. Let z(p) = p + 1. Give h(m) + 6*z(m).\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate 962662 divided by -23.\nAnswer: -962662\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -1 divided by 158?\nAnswer: -1\/158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4327733855?\nAnswer: 5, 977, 885923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 501704 bigger than 1.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 44685*s**4 - 8*s + 146 wrt s.\nAnswer: 536220*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 - ((-3914)\/1083 - (-40)\/15).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {e: 6, d: 4}. Give prob of sequence ddee.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 842 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-79 + (-15158)\/(-212))*2\/3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 32857, 131482, 295887, 526078, 822061?\nAnswer: 1183842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*-5*((sqrt(242) + -3*sqrt(242))**2*-6*6 + -5).\nAnswer: 522795","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 9886589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 283 minutes after 12:07 PM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 29907 is divided by 57.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = b**2 + b - 3. Let l be f(-3). Solve l*m + 0*m = 15, 5*m = -5*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = -t**2 - t + 19. Give f(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 783149*l**2 + 50375*l + 120.\nAnswer: 1566298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -11 - (-7 - (15 - 15))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s be -25*2*(-87230)\/325. Round s to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((l**(-10)*(l*l*(((l**(2\/9)*l)\/l)\/l)\/l*l)\/l*l)\/(l*l\/(l\/((l\/l**(2\/11))\/l)))**30)**(-3\/4))**(3\/17) assuming l is positive.\nAnswer: l**(3299\/748)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f be ((-2)\/4)\/(3\/18) + 5. Suppose f*b - 2*z = 2, -z + 9 - 4 = b. Suppose 5*u + 5*q = -10, 16 = -0*q - 4*q. Which is smaller: b or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 163282865?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 1033, 4144, 9339, 16618, 25981?\n\"Answer: 1042*f**2 - 15*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f = 1.8 + -2.08. Let l = 0.22 - f. Put -0.2, 2, l in descending order.\nAnswer: 2, l, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3\/4, 2\/17, 5, -5, -17\/72.\nAnswer: -5, -17\/72, 2\/17, 3\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -4 divided by 849\nAnswer: -4\/849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find h, given that 2*h**3 - 12086060*h**2 + 18259057446114*h + 146073233077776 = 0.\nAnswer: -8, 3021519","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 36025269 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*r**2 - 47*r**2 - 39*r**2)*(2*r**3 - r**3 - 3*r**3).\nAnswer: 168*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose i - 27 = -2*i. Solve 5*x + 8 = g - i, -g = -2*x - 5 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-30)\/18)\/(2\/(-6)). Let q be (-45)\/g + 6\/2. Put 1, -2, q in descending order.\nAnswer: 1, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from wwxkxkxmxwxxfx. What is prob of picking 1 x, 1 k, and 1 w?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from mmmwmmmmwm.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 3113013 (base 4) to base 8\nAnswer: 32707","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:23 AM and 5:48 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -48*d - 17353 = -55*d. What is the highest common divisor of d and 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -65*n + 924 = -36*n + 55*n for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:21 AM and 1:58 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) be the third derivative of 0*a - 19\/24*a**4 - 1\/60*a**5 + 0 + 2*a**2 + 0*a**3. What is the second derivative of g(x) wrt x?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 181 - (361 - 171) - (-1 + 23)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = -b**3 - b**2 - 1. Let l(m) = 2*m**3 + 4*m**2 + 2*m + 5. Suppose 0*t - 4*c + 36 = -4*t, -2*t + 5*c = 33. Calculate t*p(g) - l(g).\nAnswer: 2*g**3 - 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -8*3*(1\/((-10)\/3))\/((-16794)\/(-181935))?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 7789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 15562538?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 61922, 61911, 61892, 61865, 61830?\nAnswer: 61787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = -2*u**2 + 6499. Let m(n) = 42*n. Determine d(m(w)).\nAnswer: -3528*w**2 + 6499","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t - 3*y - 33052 = 0, 0 = t + 3*y - 5375 - 2903. Suppose 4*p + 4*m - 554 = t, -4*m + 6620 = 3*p. Round p to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -717*m**3*u**6 - 3*m**3*u**2 - 27*m**3 - m*u**6 - u wrt u?\nAnswer: -86040*m**3*u**3 - 120*m*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.152 + 19.552. Round s to the nearest integer.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 5 and 154775940?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Put -3730, -0.1, 4 in ascending order.\nAnswer: -3730, -0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o = 26.1 + -27. Let s = o + 1.4. Let w = 0.3 + 2.7. What is the third biggest value in s, -3, w?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 102 - 1?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 104*x - 109*x = 5*n + 40, 2*n + 2 = 0 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*b + 4*b - 4*b)*(443 + 339 + 218 + 334 - 415).\nAnswer: 2757*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(28) + (-3*sqrt(140))\/sqrt(5) + 6*sqrt(448).\nAnswer: 44*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -9966.84133 rounded to 1 decimal place?\nAnswer: -9966.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*t - 12, 0 = -4*c - 2*t + 14 + 16. Which is smaller: c or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.2194607 + 0.2193. What is f rounded to five dps?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -86, -99, -132, -191, -282, -411?\nAnswer: -584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 210*k - 357*k + 861*k - 228*k + 861*k to b*k + g and give b.\nAnswer: 1347","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -4 times 119950.18?\nAnswer: -479800.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l = -7 - -10. Suppose -4*c + l + 5 = 0. What is the derivative of w**3 + 2*w**2 - 2 - c*w**2 wrt w?\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -4684, -9329, -14004, -18709, -23444, -28209?\n\"Answer: -15*b**2 - 4600*b - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b = 604 + -855. Let n = 346 + b. What is the greatest common factor of n and 133?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/25 of a century in months?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = -6*v - 1. Let y(n) = 1 - 2*n**2 + 6*n**2 + n**2 + n + 0. Calculate the remainder when y(-2) is divided by x(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 266 minutes before 11:00 AM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = 16*b**3 - 7*b + 14. Let t(v) = -v**3 + v**2 + v - 1. Let q(l) = -4*t(l) - x(l). Let w be q(-6). What is w rounded to the nearest 100?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {f: 4, i: 2, p: 6, r: 7, x: 1}. Give prob of picking 1 i, 1 x, and 2 f.\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) be the third derivative of -v**9\/60480 + v**7\/10080 - v**4\/6 + 2*v**2. Let w(n) be the second derivative of m(n). Suppose w(c) = 0. What is c?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k*k*k**18)\/(k*k**(1\/7))*k**6\/k**(5\/3) assuming k is positive.\nAnswer: k**(487\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -119830501*j + 126323909 wrt j.\nAnswer: -119830501","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Determine m, given that -3*m**3 + 20559*m**2 - 1868277*m + 15151401 = 0.\nAnswer: 9, 83, 6761","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p = -13 - 33. Let u = p + 46.4. What is the closest to 2 in -2, u, 0.2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) be the second derivative of -9*i + 13\/2*i**4 + 20\/21*i**7 + 0*i**6 - 2 + 0*i**2 + 0*i**5 + 0*i**3. What is the third derivative of b(y) wrt y?\nAnswer: 2400*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 168 and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = f**3 - 7*f**2 - 6*f + 12. Let z be q(7). Let w be 6\/(-12) + 0 + z\/(-4). List the prime factors of 1111\/w - 4\/(-14).\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 11939, 10618, 9295, 7970, 6643, 5314, 3983?\n\"Answer: -o**2 - 1318*o + 13258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 0.1 (b) -2.3 (c) -63\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 20*b - 8*b + 16 = 4*z, -5*z - 24 = 7*b for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = 3*b - 8*b + 5*b - b**2. Let l(c) be the third derivative of 8*c**5\/15 + 329*c**2. What is p(l(o))?\nAnswer: -1024*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 1 (b) -2\/73 (c) -0.02 (d) -0.096 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d + 17 = -5*b, d + b - 2*b = 13. Suppose -5*u + 1 = 3*p - 9, -3*p - 3*u = -d. Solve -p - 5 = -2*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 13 - 1434002?\nAnswer: -1433434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 392189018.\nAnswer: 2, 13, 15084193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ry when two letters picked without replacement from {r: 11, y: 9}.\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 43713.\nAnswer: 3, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = -832*y**3 + 12*y**2. Let c(v) = -v**3 - 3*v**2. Calculate -4*c(r) - h(r).\nAnswer: 836*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s = 128 - 1410\/11. Let t be ((-9)\/12)\/(54\/96). Which is the biggest value? (a) t (b) -0.4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 35*w - 40*w + 185. Let j(p) = 24 + 9*p**2 + 0*p**3 + 12*p - 23*p**2 - p**3 + 2*p**2. Let q be j(-13). What is the highest common factor of q and w?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {p: 8, o: 1, a: 2, u: 4}. Give prob of picking 2 a.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + (sqrt(16)\/(-1*sqrt(8)) - sqrt(2))**2 + -1*(-1 + sqrt(98)).\nAnswer: -7*sqrt(2) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -33*f - 30 - 94 = 41 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*j**4 - 8*j**4 - 2*j**4)*(0*j - j + 2*j)*(2 + 4 - 2) + (2 + 0 - 1)*(0*j**5 + 0*j**5 - j**5).\nAnswer: -33*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-2)\/(4 + 78\/(-19)). Suppose -4*b = -9 - r. Calculate the highest common factor of 35 and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 3 + 1 + (5 - 3 + 0)*(-1 - 2 + 2))*(-2*l**2 + 5*l**2 + 2*l**2).\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*x = -2*r + 7, 2*x = -x - 4*r + 1. Let g = 2 - x. Let p = 92 + -59. Calculate the highest common divisor of p and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = -4*b**2 - 4*b**2 + 7*b**2 + 4 + 0*b**2. Calculate t(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1595*b - 1592*b + 3*a + 66 = 0, 10*b = -5*a - 195 for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert 154 (base 6) to base 14.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = b - 19. Calculate n(17).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 43661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q = -5 + 3. Let u = 1 - q. Let j = 455 + -455. Sort j, u, 0.3 in descending order.\nAnswer: u, 0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -15 in -3, -5, -1\/6, 2.4, 13.5, 17?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = 3*g**2 + 3. Let w(x) = 9552*x + 18. Give w(j(k)).\nAnswer: 28656*k**2 + 28674","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = z**3 + 4*z**2 - 3*z - 2. Let l be y(-1). Solve l*o = 4 - 8 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = 2*l + 26. Let s be d(-10). Let y be (3 + (-14)\/s)\/(4\/24). Solve -y*o + 13 = -7 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1069588 rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -506 or -2019\/4?\nAnswer: -2019\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h**(-1)*h)**(-46)\/(h\/(h**(-4)*h)*h**(1\/5)))\/(h**(1\/2)\/(h*h*h**(2\/9)*h*h))**41 assuming h is positive.\nAnswer: h**(13357\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Does 1242 divide 11644992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let a = 14 - 13. Suppose -3*l = -3*k - 6, 0 = 4*k - 5*l + a + 4. Let u(b) = b. What is u(k)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence cbz when three letters picked without replacement from {b: 5, z: 3, i: 2, c: 5}.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5030 divided by -1006.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q = 33359 - 34096.79. Let k = 731 + q. What is k rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 489 + -203. What are the prime factors of r?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from jjnjjjjnjj. Give prob of picking 2 j.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 15534089 a multiple of 450?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 10 and 670.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 9210831.\nAnswer: 3, 7, 438611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -4*r**5 - 21*r**3 + 31*r**2 wrt r.\nAnswer: -240*r**2 - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Put -9, -95, 0, -24, 2 in decreasing order.\nAnswer: 2, 0, -9, -24, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Put -1.3, -2, -0.8, -278, -0.4 in decreasing order.\nAnswer: -0.4, -0.8, -1.3, -2, -278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = 69*d - 67*d. Let a be d\/(-6) - (22\/(-6) + 1). Suppose -a*l + l + 32 = 0. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-2256)\/141*-10*(-2)\/16. What are the prime factors of (m\/(-15))\/((-7)\/(-504))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) be the second derivative of d**4\/6 + 5*d**2\/2 + 7*d. Find the first derivative of b(q) wrt q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -52, 4, 3, -2.\nAnswer: -52, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(sqrt(66)*-2*-6 + -5*(sqrt(66) + sqrt(66)*-1 - sqrt(66)))\/(sqrt(6) + 1*sqrt(726) + 3*sqrt(6)*-1).\nAnswer: 34*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2331903 divided by -6.\nAnswer: -777301\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 24 - 0 - (11 - (16 - 10))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 15625877 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-4 + 3 + 0)*(d - 7*d + 3*d) + 1 + 2*d - 1)*(4 - 2 - 1) + 0*d + 5*d - 3*d + (0 + 0 - d)*(-5 - 1 + 4) + 3*d + 0*d - 4*d - 4 + 2*d + 4.\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Does 2 divide 1196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express -351*x - 348*x - 284 - x**3 + 698*x in the form r + z*x**2 + t*x + s*x**3 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Determine s so that 338*s**3\/3 - 130*s**2 + 18*s - 2\/3 = 0.\nAnswer: 1\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence viv when three letters picked without replacement from {j: 1, u: 1, b: 2, v: 2, i: 2}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -328*c**4 - c**3 - 1270*c - 24211891 wrt c?\nAnswer: -1312*c**3 - 3*c**2 - 1270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 74411?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*z + 5*i - 150 = 0, -27*z - 209*i = -28*z - 810 for z.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -375*b = -377*b + t + 7, -4*b + 17 = -3*t. Let o be ((-56)\/(-4))\/(2 + 0). Let x = -3 + o. What is the greatest common factor of x and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*j = -3*s + 6903, -5*s - 3*j = -8444 - 3045. What are the prime factors of s?\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 14104\/172 + (-161560)\/1970?\nAnswer: -2\/197","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 207 a factor of 1988028?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 90744379 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) be the first derivative of -k**4\/4 + 5*k**3\/3 + 9*k**2\/2 + 10*k + 340. Let b = -32 + 39. Determine y(b).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 6474 + -174778\/27. Find the common denominator of 19\/555 and p.\nAnswer: 4995","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*(2*(sqrt(190)*4 - sqrt(190)))\/(-1*sqrt(90)).\nAnswer: -8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort 1.4, -0.199114, -18.\nAnswer: -18, -0.199114, 1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) be the first derivative of -s**3\/18 - 35*s**2\/6 - 1225*s\/6 - 140. Factor g(h).\nAnswer: -(h + 35)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -87 + 57. Let j = -18 - z. Suppose -x + 5*x = j. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -72\/143 + 4869\/2002. Calculate the common denominator of (-2)\/(-11) + 2220\/(-352) and h.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = -w - 8. Let g be f(-6). Let o be ((-3)\/(-4) + g)\/1. Let t = 29 - 30. Which is greater: t or o?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 123.8 - 124. Let h be 72\/624*(-4)\/3. What is the biggest value in o, h, 3, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = k**3 + 10*k**2 - k - 6. Let j = 20 + -30. Let i be w(j). Suppose 44 = i*u - 60. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = c**2 + 12*c + 20. What is t(-9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 2040 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 952349 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4889435.\nAnswer: 5, 149, 6563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 18\/5 of a centimeter?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1795 is divided by 72.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l = -1052 + 2924. Does 72 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k*k**(-2\/7)*k*k*k**(2\/5)*k\/k**1*k**3)**(-27) assuming k is positive.\nAnswer: k**(-5778\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 13743281?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 2923 + 11818 = 871*l - 8776 for l.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -0.3 (b) -4 (c) 11\/4 (d) -11 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) = 5*u. Let i = -25 - -24. Let j(d) = d + 3. Let s be j(i). Calculate h(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (9\/((-99)\/(-22)))\/(3\/3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 71209 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) be the third derivative of -1\/8*i**4 + 0*i + 0 - 1\/6*i**3 - 7*i**2. What is c(2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 133216 to the power of 1\/2, to the nearest integer?\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14 + 66 = 40*x. Let i(p) be the first derivative of -2 + 4\/3*p**x + 1\/6*p**4 + 8\/9*p**3 + 0*p. Factor i(d).\nAnswer: 2*d*(d + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + (sqrt(17) + 1)*-5.\nAnswer: -5*sqrt(17) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Does 28 divide 1388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h be 1\/((9\/(-6))\/(-3)). Suppose 4*m - h*m - 10 = 0. Suppose m*s = 3*s - 4. Which is the second biggest value? (a) s (b) -1\/3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(198)*-1)\/sqrt(11)*-5)\/(-5*sqrt(144)*5).\nAnswer: -sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -1355 + -3762293.1?\nAnswer: -3763648.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i be (29\/((-1885)\/(-78)))\/((-3)\/(-10)). Let b = 5 - 2. Sort -2\/13, -2\/3, b, i in increasing order.\nAnswer: -2\/3, -2\/13, b, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1\/(4\/6)*(1923488\/(-336))\/(-277).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -490 divided by -1.\nAnswer: 490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/2? (a) -1\/20 (b) 1\/7 (c) -2\/9 (d) -2 (e) -1.3 (f) -0.5081\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -117\/10 and -50\/2443.\nAnswer: 24430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -4 + -24?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 6 a factor of 36440?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 219618?\nAnswer: 2, 3, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*j = -2*s + 5*j, -21 = 3*s + 4*j. Let b be ((1 - 0) + s)\/2. Let l be 4\/6 - b\/3. What is the highest common factor of l and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/25 of a millennium in years?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g*g**(-38)\/g)**20\/(g**(3\/8))**42 assuming g is positive.\nAnswer: g**(-3103\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 10 a factor of 4448650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((3*sqrt(34)*-2)\/(-2*sqrt(12)\/sqrt(6)))**2.\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: ((-5)\/5)\/(65\/(-15))\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -2 (b) -4123 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 6135050 and -0.2?\nAnswer: -1227010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*w = 8*s - 5*s + 48240, -w + 12060 = 5*s. What is the highest common divisor of w and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 64867159 and 366947.\nAnswer: 4123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Put 4, 8, -0.4, -35 in decreasing order.\nAnswer: 8, 4, -0.4, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = q + 9. Calculate the remainder when 85 is divided by b(13).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 673 + 22*r**3 - 673 + (3*r - 4*r - r)*(15*r**2 + 35*r**2 + 54*r**2) in the form w*r + j*r**3 + k*r**2 + x and give j.\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 3 times 18\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((21\/(-3))\/((-9)\/3))\/(3871\/1106).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 17 divide 31683098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 156893788, 313787581, 470681374, 627575167, 784468960, 941362753?\n\"Answer: 156893793*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 11 - -2041?\nAnswer: 2052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -407, -805, -1203?\n\"Answer: -398*a - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 174389.74 rounded to the nearest ten?\nAnswer: 174390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = 4 - 9*w + 2 - 2 + 2 + 3*w**2. Let s be n(3). Does 14 divide (16\/s)\/((-4)\/(-36))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 20 and 380.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -4, 1\/5, -1\/6.\nAnswer: -4, -1\/6, 0, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -272, -1 in decreasing order.\nAnswer: 2, -1, -272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 725277*l + 72 = 725295*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from mkmuimiuui. What is prob of picking 2 u and 1 k?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g be 430\/15 - (-16)\/12. Calculate the greatest common divisor of 330 and g.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-3 - (-385)\/125) + (-1269)\/(-75). Solve -16*u = -k - 31 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1987212 divided by 197?\nAnswer: 1987212\/197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 240355 is divided by 240341?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = -10*w + 15. List the prime factors of v(-20).\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*k = -2*z + 31, 2*z - z - k = 8. Solve -18 = -4*t + 5*m + 15, z*t + 19 = -5*m for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 32064541 and 344?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 519 and 2249?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b - 22 = -0*f - 2*f, 26 = 4*f - b. Let l = 3 + 45. What is the highest common divisor of f and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1359 is divided by 80?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Do 0.2 and -662701054 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 4209, 7857, 11509, 15165, 18825, 22489?\n\"Answer: 2*q**2 + 3642*q + 565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} {"text":"Question: Is 10 a factor of 1046656?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1386*i - 264*i - 260*i - 599*i - 261*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = 10*u + 2. Let x(s) = -7*s - 1. Let y(k) = -5*r(k) - 7*x(k). Determine y(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 19624*b*p**3 + 29695*b*p + 2*b - p**3 + p wrt p.\nAnswer: 117744*b*p - 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) be the second derivative of -u**3\/6 + 2*u**2 + 13*u. Calculate m(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u = -2*u + 20. Suppose 3*j - 32 = 7*j + 4*a, -4*a = -2*j + 8. Let n = u + j. Which is bigger: 1\/2 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -28*b + 31*b - g = -9, -5*g = b + 19 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 4846891 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = z - 170 - 10. What is the highest common divisor of 24 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -289, -5, 4, 2, -6, -18.\nAnswer: -289, -18, -6, -5, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Factor 18*p**5 - 130*p**4 + 28*p**3.\nAnswer: 2*p**3*(p - 7)*(9*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l = -5489 + 5516. Let t = 5 + -1. What is the remainder when l is divided by (-3 - t)*(-2)\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = -4*w + 38. Let n be 9 - (0 - 5 - 1). Solve -n + w = o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 639881801 - 639881801 + 68*x**2.\nAnswer: 68*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 549 minutes before 10:00 PM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:52 AM and 10:17 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -30 - 12051240?\nAnswer: -12051310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 498 is divided by 105.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 30*x - 35*x - 35 = 0, -3*t - 4*t - 6*x - 9 = 3*t + 53 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 26 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -21*g = -1058 - 2785. Let k = 188 - g. What is the biggest value in 0.03, 4, k, -1\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -91, -236, -407, -574, -707?\n\"Answer: 5*i**3 - 43*i**2 - 51*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) be the first derivative of -3*z**3 - z**2\/2 + 3*z - 1558. Let a(f) = -37*f**2 - 4*f + 13. Determine -4*a(l) + 18*j(l).\nAnswer: -14*l**2 - 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = 3*z**2 - 3*z. Suppose 4*v = -2*c + 14, v - 4 = -c + 5. Suppose -f + 6*f = -4*m - 17, -2*m = 3*f + c. Give n(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 33810?\nAnswer: 2, 3, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j = -2\/105 + 323\/420. Let w = -8 - 8. Let i = w + 15.8. Which is the nearest to -1\/3? (a) j (b) i (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -17036 divided by 157.\nAnswer: -17036\/157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*f + 5 = -4. Which is the nearest to -1\/5? (a) f (b) -1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 66114 - 66114 + 48*d - 2*d**3.\nAnswer: -2*d**3 + 48*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p = 4*y - 103, 12 + 0 = -4*y. Let d(r) = -2 + 26*r + 2 - p*r. Let j(t) = 2*t + 3. Let v(w) = 3*w + 5. Let x(a) = -5*j(a) + 3*v(a). What is x(d(f))?\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = 1086*k - 5848. Does 24 divide o(37)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -45.4 - -40.4. Which is the nearest to 0? (a) -0.6 (b) -0.4 (c) -2\/9 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -449 + 446. What is the common denominator of (-387)\/420 - (-4)\/(-10) and (-35)\/10*d\/15?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -3611 - -3600. Let i(c) = 2*c**2 + 25*c + 21. Give i(o).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -1 divided by -417\nAnswer: 1\/417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2*k + 1 + 3, 5*k + 7 = -3*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:42 PM and 8:11 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: (14\/60*(-27)\/((-4536)\/60))\/(1\/(-8))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = 3472 - 1269. Does 15 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (2\/(-4))\/((-8)\/64). Let u be (-1)\/(((-8)\/26)\/r). Let z = u + -2. What is the remainder when 42 is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -14 - (3 + -13) - (-1 - -4 - 6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*j - 18, 2*d + 158*j = 163*j + 42. Calculate the remainder when 60 is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 11 + -9. Let m = j - 0. Suppose -m*v = 2*y - 3 - 5, 4 = -y. Solve -v*f = -3*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -83\/10 and 19\/248.\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 12 and 171.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -4 + -3 + 2 + 2 - -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 45945, 91891, 137837, 183783, 229729, 275675?\nAnswer: 321621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l = -152.33 - 0.67. Let x = l + 160.9. Which is bigger: x or -0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -4815, -4879, -4943?\n\"Answer: -64*d - 4751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*r = -33 + 45. Let k be r + (-26)\/(-18) - (-2)\/(-12). Which is bigger: k or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 71384.19mm in micrometers?\nAnswer: 71384190","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -1 + 186\/14 - 4 and -15\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -11*n + 3*n + 3*n + n + 3*n - 8*n**3 - 22*n**4 in the form v + s*n + c*n**3 + l*n**4 + w*n**2 and give l.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) be the first derivative of -2*b**5 + 125*b**4\/4 - b**3\/3 + 1272*b**2 - 5235. What is the second derivative of q(t) wrt t?\nAnswer: -120*t**2 + 750*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*(-2 + sqrt(98)) - (sqrt(98) - (sqrt(98) - (4 + sqrt(98))*-5)))**2*2.\nAnswer: 2016*sqrt(2) + 2916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 7108 and 108.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1746957680?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1280?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 k and 1 w when two letters picked without replacement from {m: 1, a: 1, c: 1, k: 2, n: 1, w: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = -i**2 + 5*i + 3. Let h be y(4). Let q = -5 + h. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -38, -281, -946, -2243, -4382, -7573, -12026?\nAnswer: -17951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 3*90\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 586 minutes before 5:33 PM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r + 395 = -2*b, 26*r - 24*r = 3*b - 272. Is r less than -133?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2163 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: Sort 0, 1, 4, -90.\nAnswer: -90, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -131615 - 97*v**2 - 131619 + 263234.\nAnswer: -97*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((x\/x**(4\/5))\/x)\/(x*x**26))\/(x\/(x**(-20)\/x)*x**(-29)\/x) assuming x is positive.\nAnswer: x**(-99\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 5.25 or 34\/11?\nAnswer: 34\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Factor 12321\/5 + 1\/5*s**2 + 222\/5*s.\nAnswer: (s + 111)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -212, -239, -284, -347, -428?\n\"Answer: -9*b**2 - 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*b + 7*n - 1188, 6*n - 10*n + 1485 = 5*b. Does 33 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16*i + 22*i = 42. Solve -2*a + i*a - 15 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -63*y + 49*y - 23*y + 1369 = 0 for y.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*t - 2 = 5*h + 3, -h - t - 1 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/13? (a) 2\/3 (b) -0.04 (c) 0 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 200969678 and 2548?\nAnswer: 1274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in -4, 4\/5, 1.5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -251802, -251804, -251806, -251808, -251810?\n\"Answer: -2*m - 251800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = -6*f**2 - 4*f + 1. Let p be c(-2). Let g = 28 + p. Let h = g - 3. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 26121916 to the power of 1\/2, to the nearest integer?\nAnswer: 5111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y = 6 - -8. Let q(m) = -m + 1. Let i be q(-3). Is 46\/i - 21\/y a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 5219728?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = -3*q**3 + 3*q**2 + 7*q - 2. Let r(a) = -5*a**3 + 4*a**2 + 11*a - 3. Let p(m) = -8*c(m) + 5*r(m). Is p(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.1 - -0.1. Let q = -0.115395 - 0.984605. Which is the nearest to q? (a) 3\/4 (b) -2 (c) g (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:46 AM and 7:46 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {u: 3, v: 12}. What is prob of sequence vuu?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 74*s = 67*s + 35. Let y(u) = u**3 - 11 + 201*u**2 - s - 194*u**2 - 9*u. Let j be y(-4). Is 67 <= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*j + 5*j + 4*v + 100 = 0, -2*j - 2*v = -250. What is the lowest common multiple of 125 and j?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -149*k + 0*k**3 - k**3 + 213*k to r*k**2 + z*k + y*k**3 + a and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*m**2 + 62 + 56 + 19 + 20 - 49*m**3 wrt m?\nAnswer: -294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 636612800?\nAnswer: 2, 5, 163, 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-six fifths of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {j: 3, r: 4, p: 5, x: 5, v: 1, q: 2}. What is prob of picking 1 q, 1 x, and 1 j?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 13403 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 181 minutes after 5:26 AM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a = -0.111 - -0.0239. Let t = a - -0.094. Round t to four decimal places.\nAnswer: 0.0069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 429630.\nAnswer: 2, 3, 5, 14321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -83\/164 and -87\/4.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 112709 - 556212 - 137175 = 4366*m for m.\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*s**3\/7 - 1946221*s**2\/7 - 13137181*s\/7 + 486562 = 0.\nAnswer: -7, 1\/4, 486562","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is (-264)\/(-3)*717\/(-1912)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f be (1\/1)\/(5\/(-60)*-4). Put -3\/5, f, -2 in ascending order.\nAnswer: -2, -3\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 116649\/5 bigger than 23330?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17*a + 12*a + 263 = -x, a = 3*x + 61. Calculate the smallest common multiple of 208 and a.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 15741?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-eight ninths of a week in minutes?\nAnswer: 31360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*h**4\/5 + 12*h**3 - 56*h**2\/5.\nAnswer: -4*h**2*(h - 14)*(h - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 10*g + 13*g + n = 3 + 68, -6*n = 2*g + 118 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {x: 2, g: 3, p: 6, a: 2, s: 1, k: 4}. What is prob of sequence spx?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00000349103634 rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 8*b**4 - 8*b - b**3 + 815*b**2 - 409*b**2 + 2*b**3 + 4*b**3 - 399*b**2 to the form q + r*b**4 + i*b**2 + l*b**3 + z*b and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a = 24 + -14. Suppose k - 11 = -5*m, 4*m + 0*m = -3*k + 22. Suppose -r + k*r - a = 0. Solve -2*q + r*d - 6 = 6, 5*d - 20 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 10c1a - 5ac?\nAnswer: 1065d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y = 35 + -26. Solve -4 = 5*w - y for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) be the third derivative of 7*p**6\/120 + p**5\/60 - p**4\/24 + p**3\/6 + 2*p**2. What is the remainder when t(1) is divided by 6 - (-3)\/(-9)*3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -564, -2134, -4740, -8382?\n\"Answer: -518*l**2 - 16*l - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {j: 2, q: 8, s: 1, e: 1, i: 4}. Give prob of sequence ij.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) be the first derivative of 3\/2*p**2 - 1\/3*p**3 - 16 - p. Determine x(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 10*c + c**4 - 5*c - 6*c + c**3 in the form l*c**2 + o*c**3 + n*c**4 + v*c + a and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 5421306 to the nearest integer?\nAnswer: 2328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 515881 to the power of 1\/3, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Factor z**3 - 149*z**2 - 609*z - 459.\nAnswer: (z - 153)*(z + 1)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = -s**2. Let m(j) = 4 + 4 - 3 + 0 + 5*j. Let g(f) = 5*f + 6. Let r(a) = 5*g(a) - 6*m(a). Give r(k(z)).\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Work out -1429139065115 - 0.\nAnswer: -1429139065115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y + 8*y + 351 = 4*w, 307 = 3*w + 5*y. Is 6 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 213 (base 5) to base 9\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose y = 5*d + 27, -y + 4*y = 3*d + 33. Suppose y*q - 62 + 20 = 0. Solve -3*b + 3*p = q, b = -0*p + 2*p for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = -i**3 - 10*i**2 + 6*i - 66. Calculate z(-11).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = -p - 1. Let r be a(9). Let j be 4\/r - 22\/(-5). Solve -5 = 4*m + 2*x + 1, 4*m - 12 = j*x for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*((sqrt(19)*-1)**2 + -3)*5*-5.\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:32 AM and 9:55 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*(-1*(3 + sqrt(33)\/sqrt(3)) + 1 + sqrt(11) + 4 + sqrt(11)*-3))**2.\nAnswer: -108*sqrt(11) + 927","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 18562?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -0.002922 times 0.3\nAnswer: -0.0008766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) be the second derivative of -1\/6*z**3 + 8*z - 3\/2*z**2 + 1\/20*z**5 + 1\/4*z**4 + 2. Let u = -5 - -2. Give b(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 272*i + 2*z - 2 = 267*i, 2*z - 6*z = 7*i - 4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 1 + 4894aa4?\nAnswer: 4894aa5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1 + 6 + -5 + 0 + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -h + 2*h - 3*c = 6, 4*c = 0 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 68815 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1346 is divided by 448?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*p + 16*p - 3*m + 60 = 0, p = 3*m - 4*m - 8 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p - p + 2780 = 2*i, 3*p = 5*i - 6926. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-54*t + 109*t + 429*t)*((-2 + 2 + 1)*(-3 + 2 + 0) + 0 - 1 - 1).\nAnswer: -1452*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let a = 0.1111 - 195.7111. Let v = 195.3394 + a. Let t = 0.26 + v. Round t to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = -2*j**2 + 17*j - 17. Let y be i(7). Suppose y*a + 4 = -0. Let w be -1 + -1 + 31 + a + -1. Calculate the greatest common divisor of 36 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -3*h**2*m*v - 315*h**2*n**3 - 2*h**2*n*v + 2*h*m*n**3*v + h*n*v + 27*h*n - 2*m*n**3*v + 4*n**3*v wrt h.\nAnswer: -6*m*v - 630*n**3 - 4*n*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 114*m - 39 - 115*m - 15 to the form f*m + j and give j.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 101 + 100101000?\nAnswer: 100101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l = h + 3 + 2, -4*l = 3*h - 4. Is (5 + l)\/((-14)\/(-21)) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = -14*g**3 - 1194*g**2 - 342*g - 167. Calculate a(-85).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = 386*u - 382*u. Suppose 4*d - 6 = -2*t + 16, 4*t = -3*d + 54. Suppose -2*q = q - t. Is u at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -0.2065 - -0.202155. What is c rounded to four dps?\nAnswer: -0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ijtj when four letters picked without replacement from {t: 1, e: 2, x: 1, w: 1, j: 2, i: 1}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s = 72 + -93. Let b be (28\/s)\/2*51. Which is bigger: 0.2 or b?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 12*b = 55*b + 103*b + 18*b - 19352 for b.\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r\/(r*r*r\/(r**(-6)*r)))\/(r*r\/(r\/((r\/((r*r*r*(r\/(r**(-6\/13)*r))\/r)\/r))\/r)))*r**13\/r*r**(-1\/18)*r assuming r is positive.\nAnswer: r**(1499\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (12\/42)\/(((-3)\/9)\/(56\/(-24)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 1 - 3)*(-c + 3*c + 3*c) + (1 + 4 + 1)*(c - 6*c + 0*c) - c - c - 2*c + (-4*c + 2*c + c)*(-1 - 2 + 4).\nAnswer: -50*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 2*((-17)\/(-102))\/((-2)\/6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 348147831.\nAnswer: 3, 53, 2189609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = -n**4 + n**3 - 2*n. Let l(m) = 58*m**4 - 5*m**3 + 10*m - 17. Let s = -88 + 89. Let h(a) = s*l(a) + 5*g(a). Find the first derivative of h(o) wrt o.\nAnswer: 212*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2117.\nAnswer: 29, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-2410)\/3374 - (9\/12)\/((-7)\/2))*26.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {o: 4, r: 4, i: 7}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 844 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert -160e (base 16) to base 12.\nAnswer: -3326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 9 and 1026.\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -2 - 3239\/(-945) - -20*(-57)\/760 and 209\/1890.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4 = y, -468 + 439 = -15*b - 11*y for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 117210*f**3 + 45987*f**3 + 0*f - 4800*f**3 + 0*f.\nAnswer: 158397*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2 - 1)*46\/23?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -331 + 322 = -3*i + 4*h, -4*i = 5*h - 12 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d be 6*(-8)\/144 - -1*(-1170)\/(-27). Let n be ((-15)\/(-9))\/((-2)\/(-50)). Is d bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -13, 0, -11092 in descending order.\nAnswer: 0, -13, -11092","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -4, 20, 4\/7, 5, -2?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-2)\/7 - (-112)\/49. Suppose -4*j = 4*z - 44, j - 43 = -p*j - 5*z. Let s(g) = 2*g**2 - 2*g - 4 - 3*g**2 + j*g. What is s(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 403 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o = 969 - 954. Let i(n) be the third derivative of 0 + 1\/100*n**5 - o*n**2 - 1\/20*n**4 - 3\/10*n**3 + 0*n. Factor i(t).\nAnswer: 3*(t - 3)*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 6 (base 13) to base 7\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0 - -0.4. Let o = 1.2 - 0.2. Let n = 2 - o. Which is the biggest value? (a) n (b) 5\/3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -4 + (6 - 7) + 12\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = f**3 + 5*f**2 - 2*f - 5. Let h be s(-5). Let y = h - 5. Suppose u + 3*u - 20 = y. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**(1\/3)\/k)\/(((k**25*k)\/k)\/k) assuming k is positive.\nAnswer: k**(-74\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find s such that 2*s**5\/3 + 16665388*s**4 + 312452151831676*s**3\/3 + 1249808057368952*s**2\/3 + 520753286409174*s + 624903903694084\/3 = 0.\nAnswer: -12499039, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 77*o = 109*o - 96. Determine n, given that 0*n - 1\/3*n**o + 0 + n**2 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 1474 divide 176657132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ljkl when four letters picked without replacement from {k: 3, j: 3, l: 3, q: 1}.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let r = 14 - 10. Suppose 2*b + 3*b - 25 = -r*a, -a + 4*b = -1. Let p(s) = 2*s**2 + 6*s + 2. Calculate the least common multiple of p(-4) and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = 37*n**2 + 9*n - 112. Determine m(-5).\nAnswer: 768","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 64561346?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {o: 1, k: 6, x: 4, y: 2}. What is prob of sequence kxok?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(27)\/(2*sqrt(36)\/sqrt(4)) - (sqrt(6)\/(-2*sqrt(2)) - (2*sqrt(3) + -1))) + -1.\nAnswer: -2 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*x - 4*x + 2*x + (2*x + 1 - 1)*(4 - 2 - 3) - 3*x + 7*x - 25*x + (103*x - 164*x + 100*x)*((-4 + 2 + 4)*(3 - 2 + 1) - 1 + 3 - 1).\nAnswer: 170*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-4)\/7 - 180\/(-70).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = 9*r**3 - 10*r**3 + 2*r**2 + 0*r**2 + 2*r. Let z be i(2). Suppose -z*b + q - 6 = 15, 5*q - 25 = 0. Which is smaller: -6 or b?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {z: 1, s: 1, o: 1}. Give prob of sequence oz.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Factor -1091904\/5*a - 3\/5*a**5 + 326832\/5*a**2 + 1022208\/5 + 408\/5*a**4 - 3804*a**3.\nAnswer: -3*(a - 44)**3*(a - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is v in -2*v**3 - 13355966*v**2 = 0?\nAnswer: -6677983, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 961.6512cm in micrometers?\nAnswer: 9616512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is -1 > 2024?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = -d**2 - 10*d + 7. Let u be s(-10). Suppose -a + u = g, -2*g = 4*a - 17 + 3. Let n = 10 - g. Is n a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = q**2 - 5*q + 5. Let y = -2 + -7. Suppose 3*g - p = -12, -2*g - 3*p = 19 - 0. Let z = g - y. Calculate k(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-96)\/(-80)*(-1)\/(-2)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is fourty-nine fifths of a litre in millilitres?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w = -2\/949 - -953\/1898. Factor -1\/2*h**4 + 0 + 1\/2*h**2 + w*h**3 - 1\/2*h.\nAnswer: -h*(h - 1)**2*(h + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 239, -1098365, -3 in decreasing order.\nAnswer: 239, -3, -1098365","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 9590 is divided by 109.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f = 200 + -194. Which is the second biggest value? (a) -4 (b) 10 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1533 and 81687.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o = -6 - -5.9. Let i = -1.1 - o. Is i != -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11\/4 of a microgram in nanograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*z - 14*z - 48 = 0. Let -31368*v**2 - 48*v - 336 + 31382*v**2 - v**3 - z + 3*v**3 = 0. What is v?\nAnswer: -6, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c - 10317 = -2249. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 79\/((-4424)\/1386) + 25. Factor -b*z**4 - 13\/4*z**2 + 2*z**3 + 0 + 3\/2*z.\nAnswer: -z*(z - 6)*(z - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*d**4 - 10*d**4 + 2*d**4)*(1 - 4 + 1)*(-6*d + 3*d + d).\nAnswer: -24*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {c: 1, w: 4, s: 2, a: 2, m: 3}. Give prob of sequence asc.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 34899*b**3*h**2 - 117*b**3 - 26*b**2 - 2*b - 68*h**2 - 152 with respect to h.\nAnswer: 69798*b**3*h - 136*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 65720181?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = 9*t. Let c(b) be the second derivative of -b**4\/6 + 30*b**2 + b + 1. Let n(m) be the first derivative of c(m). Determine n(j(v)).\nAnswer: -36*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*q + q**4 + 2*q)*(-3 - 2 + 6) + 9*q - 9*q - 57*q**4 + (-3 + 3 + 2*q)*(q - 2*q**3 - q) - q**4 + 0*q**2 + 0*q**2.\nAnswer: -61*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xcw when three letters picked without replacement from wcx.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Total of -55297497.8546 and 0.4.\nAnswer: -55297497.4546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 55 and 5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-1 - 2)\/(8\/(-264)). Let r = 355 - 355. Let y = j + r. List the prime factors of y.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = -5*l - 1. Let b be f(-1). Let d(x) = 4*x + b - x**2 - 4. Let o(s) be the third derivative of -s**4\/24 + 4*s**2. Calculate -d(p) - 4*o(p).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = -g**2 + g. Let w(q) = -4*q + 1. Let r(a) = -2*s(a) - w(a). Suppose b = 5*k + 24, -4*b + k - 16 = -9*b. Suppose 0 = -0*l - b*l + 4. Calculate r(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = 18*o**2 + 9*o - 36. Let r(l) = 9*l**2 + 4*l - 20. What is -9*r(p) + 4*w(p)?\nAnswer: -9*p**2 + 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -0.02 (b) -2.6 (c) -1\/4 (d) 7 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c - 6 = -6*c. Let m(l) = 5*l**2 + 0 - 5 + 5. What is the tens digit of m(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -192 - 6*l + l - 303*l**3 + 295 - 103 as g + i*l**2 + y*l + p*l**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = 1378*x - 233. Is o(13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.5380952um in nanometers?\nAnswer: 538.0952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 11 - 120a58?\nAnswer: -120a47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w be -2*(-3)\/((-12)\/26). Let f = w - -18. Suppose -f*o + s = -98, 5*o - 5*s = 108 - 18. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = s**2 - 6*s + 6. Let v be 12\/(-4)*1*-1. Suppose -f - 3*y = -v*f + 4, 0 = 4*f + 3*y - 26. Determine t(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 471?\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = 3*d**2 - 30*d + 15. Let u be y(9). Let i(a) = -a - 40. Calculate i(u).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 139991 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 7695 or 7696?\nAnswer: 7696","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from rrrccrrcrrrr. Give prob of sequence rr.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 13215?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 3092, 12300, 27316, 47870, 73692, 104512, 140060?\n\"Answer: -45*s**3 + 3174*s**2 + s - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = j**2 - 17*j + 30. Is 7 a factor of c(16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2123*k + 1135*k + 1049*k - 610 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d*d*d**(-1\/5))\/((d**4\/d*d)\/d)*d*d\/(d**5\/d)*d**(1\/5))\/((d\/(d*d**(2\/5))*d)**(10\/7)*(d\/(d*d\/(d\/(d\/(d\/d**(1\/3)))*d)))**9) assuming d is positive.\nAnswer: d**(-69\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {b: 17, j: 2}. Give prob of sequence jbbj.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*o + 4*m + 4618, 0 = 2*m - 15 + 5. What are the prime factors of o?\nAnswer: 3, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -16130\/3 + 5267. Let g = 110 + v. Sort g, 7, -2\/3.\nAnswer: -2\/3, g, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:48 PM and 2:13 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-64)\/((-10752)\/(-3240)) - (-2)\/7?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Determine p so that -2*p**4\/7 - 222*p**3\/7 - 3328*p**2\/7 + 16248*p\/7 + 72864\/7 = 0.\nAnswer: -92, -22, -3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 2557, 2560, 2571, 2596, 2641, 2712?\n\"Answer: a**3 - 2*a**2 + 2*a + 2556","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 143*d**2 + 93*d**2 - 145*d**2 + 118*d**2 + d to the form b + p*d**2 + h*d and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 0 - 8 - -4 - -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k = -16 + 29. Suppose 0 = 5*o - k*o. Put 9, -4, o in descending order.\nAnswer: 9, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 111029 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 187823 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 21065454, 21065451, 21065450, 21065451, 21065454, 21065459, 21065466?\n\"Answer: z**2 - 6*z + 21065459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 7912 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = 3*y. Determine j(10).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -i + 6 + 4. Let r(p) be the third derivative of -p**5\/60 + 19*p**4\/24 - 8*p**3 - 12*p**2 - 3. What is the least common multiple of r(8) and i?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 118141973 is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.1 - 4.9. Let j(n) be the first derivative of n**4\/4 - n**3 + n**2 + n + 1. Let a be j(2). What is the third biggest value in s, a, 1\/2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 1110*d**5 + 3670*d**2 wrt d.\nAnswer: 66600*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 71 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 3 + 5)*(171*t + 6812 - 6812).\nAnswer: 684*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*a - 2*a - a)*(-a**4 + 0*a**4 + 3*a**4) - 22*a**2 - 4*a**5 + 21*a**2 + 4*a + 2*a**5.\nAnswer: -4*a**5 - a**2 + 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) = 6*f**2 + 2*f + 7. What is z(4)?\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = -1. Let g(o) = -o**2 - 3*o + 2. Let f(m) = g(m) + 2*k(m). Let p(a) = -a**2 + a + a + 2*a**2. Calculate 2*f(y) + 3*p(y).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 160 and 90.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0 - 1. Let h be 5 - j\/1*-1. Factor -1\/3*r**5 + r - r**h + 2\/3*r**2 - 2\/3*r**3 + 1\/3.\nAnswer: -(r - 1)*(r + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 8? (a) 20 (b) -0.3 (c) 7.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = p**3 - 7*p**2 - p + 6. What is l(7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 96339 to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = -22*p - 28. What is the tens digit of k(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.022 - 0.008. Let b = 0.13 + q. What is the closest to b in -1\/4, -0.5, 7\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4 + (sqrt(561)\/(sqrt(11)*-1))\/sqrt(3))**2.\nAnswer: -8*sqrt(17) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 1.8934392 - 8.3049\nAnswer: -6.4114608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*r + 48*r - 901 for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) be the first derivative of -3*r**2 - 2*r + 1. Let f be n(-2). Let s = f + 9. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 164576354 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3168 + 3168 - 3*g)*((-4 - 2 + 2)*(5 - 3 - 4) - 4 + 1 + 1).\nAnswer: -18*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Does 11 divide (549\/2)\/(247\/(-304) + (0 - -1))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -144630 (base 8) in base 12?\nAnswer: -25a48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 206.9815 weeks to days.\nAnswer: 1448.8705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 1.028521 * 2.4\nAnswer: 2.4684504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -45*q**2 + 42*q**3 + 22*q**3 + 45*q**2 + 2*q.\nAnswer: 64*q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*n = -2 - 19. Suppose -n*f - 3*l = -51, 2*f - l - 3*l - 40 = 0. Are 18 and f non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 59581494.\nAnswer: 2, 3, 7, 52541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = m**2 + 4*m + 1. Let h be f(-3). Suppose 4*v = 5*a - 3 + 10, 4*a + 14 = -v. Let w be a*(2 - 14\/6). Which is smaller: h or w?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-144)\/(-26460)*-10*14\/28*(-1)\/2?\nAnswer: 2\/147","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 63 + 741426?\nAnswer: 741489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f = 1239829 - 3125829. Round f to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*f**3 + 0*f**3 - f + 2 + 2*f**3 + 8567*f**2.\nAnswer: 4*f**3 + 8567*f**2 - f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 2 + 5*a**5)*(3 - 2 + 1) - 1 - a**5 + 1 + 16*a**4 + 139*a**5 - 16*a**4.\nAnswer: 148*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -148714, -4\/5 in descending order.\nAnswer: -4\/5, -2, -148714","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-174933)\/(-1234926) - (-4)\/(-27).\nAnswer: -1\/154","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 249271 (base 11) in base 3?\nAnswer: 201222001021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.2? (a) 5 (b) 0.3 (c) 15 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*p - 5*y - 5 + 15 = 0, 4*y = 5*p + 8 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 7*g**2 - g**5 - 7*g**5 + 13*g**5 wrt g.\nAnswer: 300*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 73\/13, -0.111, 0.1, -0.3 in increasing order.\nAnswer: -1, -0.3, -0.111, 0.1, 73\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4 - -20 - 2 - (40 - 31).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 134 divided by -5\nAnswer: -134\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + (-5*(sqrt(242) - sqrt(242)*1)*1*2)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 14530050 and 1692.\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = -s**2 - 6*s - 5. Let f = -2 + -2. Let y be c(f). Suppose -y*v + 17 = -22. List the prime factors of v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 4.314037mg?\nAnswer: 4314.037","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 17*p + 45*p. Let i(w) be the first derivative of -25 + 26\/5*w**5 + 0*w + 0*w**2 - 2*w**3 + p*w**4. What is the third derivative of i(g) wrt g?\nAnswer: 624*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-186)\/(-22) - (-1 - (-10)\/1).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 727 is divided by 352?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = -h**3 - 5*h**2 + 5*h - 7. Suppose -5*c + 5 = 35. Let g be b(c). Let w be ((-1)\/(-1) + g)\/1. Solve 0 = -3*v - w - 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-13)\/(-2)*2 - 3. Suppose -5*u + k*u = -2*s + 6, -5*u = -5*s + 50. Calculate the lowest common multiple of 10 and s.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 - 6 = 4*u - 5*r, -5*r = 4*u - 18. Let m be (78\/(-48) - (-3)\/24)*-4. Solve -u*x + 0 = m for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -385 = -0*a + 11*a, 733*d - a = 736*d + 35 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = 2*l**2 - 3*l + 2. Let x be (3\/9 - 0)*6. Let j be u(x). Let z be ((-3)\/2)\/(2\/j). Are -3 and z unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c + 2 - 5 = 0. Let t = 331912 - 371741491\/1120. Let r = t + -1\/224. Is c greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 6 - (9 + (-5 - -1) - 7).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -13339 divided by 43486?\nAnswer: -13339\/43486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round 25169.8085 to the nearest one thousand.\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**(-1\/5)\/f**1*f**(1\/10)*f\/(f*f**(-2\/5)\/f))\/(((f\/(f\/(f*f\/f**(2\/5))*f))\/f)**(2\/91)*f**(-8)*f**(-1\/2)) assuming f is positive.\nAnswer: f**(4008\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*x + 4*x + 0*x + x - x + 2*x + (0 + 2 - 1)*(x + 1 - 1) + 0*x + 5*x - x - 3*x + 2*x - 4*x)*(-4 + 2 + 4).\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 442178 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 2a47008 (base 11) to base 9\nAnswer: 10737520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is -0.1 <= -94?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = -16*n - 8. Let x be a(-5). Suppose -p = 3*c - 44, 3*p + 18 = -3*c + x. Calculate the remainder when c is divided by (-14)\/(1 - -1)*-1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (3 - 1)*(-46)\/552.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 2108\/134845 - 2\/905. Let z(n) = n**3 + 9*n**2 - 17*n - 70. Let h be z(-10). Are h and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from uusuussudusddsdsu. What is prob of picking 1 u and 1 s?\nAnswer: 21\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u = 2176 + -2176. Let r = -3 + 3.1. Which is the closest to r? (a) -6 (b) 3\/5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (47277\/(-108)*(-83)\/(-1411))\/((-1)\/4*-1)?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in -1\/5, 85, 5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) be the second derivative of p**7\/105 + 4*p**6\/75 + 2*p**5\/25 - 12*p. Factor c(y).\nAnswer: 2*y**3*(y + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 63 = -x - 2*x. Let t be (-6)\/x - (26\/(-7) - -2). Let d be (t + 0)*(-1 - -10). Do 20 and d have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) -0.1 (b) 284 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Round -6278000 to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 98, 105, 124, 161, 222, 313, 440, 609?\n\"Answer: k**3 + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2934?\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7 + 441*g - 7 - 90*g.\nAnswer: 351*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -100*(2*(-50)\/75)\/((330\/(-9))\/(-11))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*b**3 + 6087*b**2 - 705222*b + 1386072.\nAnswer: 3*(b - 108)*(b - 2)*(b + 2139)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w = 23 - 38. Let t be -3 - -2 - 0 - -11. What is the units digit of ((-6)\/t)\/(3\/w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 278471704 divided by -7?\nAnswer: -39781672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose m = -7 + 13. Suppose m*n - 38078 - 19084 = 0. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 822 + -715. Calculate the remainder when z is divided by 49.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 1 + j)*(2 + j - 2 + (-2*j + 2 - 2)*(-4 + 0 + 2) + (3*j + 0*j - 4*j)*(-3 + 0 + 13)) + 1 - 1 + j**2.\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = 2*a + 3*f - 4, 5*a - 25 = -4*f. Is 1\/3 < a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: (986\/580)\/(-17)*15\/477*-3\nAnswer: 1\/106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*k + 8*k = -24. Let x = -4 - k. Solve s - x = -s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -256a (base 13) to base 9\nAnswer: -7268","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-14)\/12*(906 - 864).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = -9*k**2. Let o(v) = -2*v - 352 + 748 + 3*v - 372. Determine o(l(h)).\nAnswer: -9*h**2 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -1872, -1873, -1874, -1875, -1876, -1877?\n\"Answer: -l - 1871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o = 1329 + -1329. Is 1\/1163 smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2926?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -t - 3*q + 12 = 0, t - 32455*q + 28 = -32450*q for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -17\/39858 and -97\/26186706?\nAnswer: 26186706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-242)\/605)\/(16\/5).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u = -11.39 + 10.3. Let r = u - -0.09. Which is the closest to -0.1? (a) r (b) 0 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -22 - -31. Suppose -2*u + l + 32 = -3*t, -5*u + 77 = t. Suppose 5 - 1 = 2*m. What is the greatest common divisor of m and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 851 - -60. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*a + 6*a + 25 - 4*a.\nAnswer: -2*a + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is next in 15933214, 63732885, 143399004, 254931571, 398330586?\nAnswer: 573596049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = -s**3 - 3*s**2 + 2. Let a be 1*(1\/1 + -1). Suppose 10 = -y + 2*m, 4*y + m + 4 + 0 = a. Give p(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -30*h + 55 = -395. Suppose -11 = -3*s + 13. Solve -h*o = -11*o - s for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 31 a factor of 5184378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 56541 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: What are the prime factors of 18093719?\nAnswer: 7, 19, 136043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n = 13\/2 + -7. Let h = 22 - 16. Suppose -5*m - 11 = -3*o + h, 24 = -4*m + 5*o. Which is smaller: m or n?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3 - 109*a**3 + 55 - 52.\nAnswer: -109*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put 383, -2.2, -4\/7, 0.1 in decreasing order.\nAnswer: 383, 0.1, -4\/7, -2.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x be 6\/(-3)*(-20)\/8. Suppose 0 = -x*t + t + 12. What is the second derivative of t*c**3 + c + c**3 + 0*c wrt c?\nAnswer: 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = 2*v**3 - 6*v**2 - v + 6. Is a(11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 87 + -66. What are the prime factors of (-9)\/d*1 - (-4272)\/21?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -6 in -6, 1, -2\/7, 1\/8?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -284856 + 8?\nAnswer: -284848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve q - 113*q + 4280 = -5*q for q.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u - 5*s + 41 = 0, 5*u + s - 37 = 9*u. Let f(l) = -l**2 - 9*l - 6. Calculate f(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -35*u = -41*u + 54 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n = 778 + -774. Let c(x) = x + 12. Let p be c(0). Calculate the greatest common divisor of n and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = -z**2. Let h(u) be the second derivative of -13*u**3\/6 - 10*u. Give t(h(b)).\nAnswer: -169*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*v = -48543 + 13023. Suppose 0 = 2*g - a + 1509 - v, 0 = -g + 5*a + 2228. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -3 - 105410?\nAnswer: -105413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate -7*29.4.\nAnswer: -205.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is (-704)\/(-363)*48\/64 + (-2)\/1?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-16 - (-5 - 0))*(-9)\/(-9).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) be the first derivative of g**7\/168 + 7*g**6\/360 + 5*g**3\/3 - 16. Let t(p) be the third derivative of l(p). Find the third derivative of t(u) wrt u.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 26604?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = 29*s - 6. Let o(p) be the third derivative of 5*p**4\/24 - p**3\/6 - 6*p**2 - 8. Calculate -6*h(y) + 34*o(y).\nAnswer: -4*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z + 9 = 3*b, 3*b = z - 2*z + 17. Let a(k) = -144*k + 69*k + 77*k + z. Let i be a(5). Calculate the highest common divisor of 9 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -5 in -32\/683, 8\/3, 0.22, -5\/3, -0.3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h be 4\/1 + -5 - -3. What is the second biggest value in -0.3, h, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -8 = 5*y - 3135727*c + 3135726*c, -3*y + 29 = 2*c for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 1037251741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d = 1006 - -9804. List the prime factors of d.\nAnswer: 2, 5, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3243.\nAnswer: 3, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-1 + 4)*(-1)\/(-3). Suppose -2*m + 12 = 2, m = 2*u + 5. Suppose 3*l + 0 - 6 = u. Solve q - d = l*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:40 PM and 11:20 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 964 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 330850*d - 130861*d - 5068210*d.\nAnswer: -4868221*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v be 6\/(-27)*-3*(-11 - -20). Let r(t) = 23*t**2. Let l(q) = 12*q**2. Give v*r(y) - 13*l(y).\nAnswer: -18*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in twenty-one eighths of a kilometer?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-5*t**3 + 3*t**3 + t**3)*((3 - 2 - 3)*(0*t - t + 0*t) + (-6 - 6 + 41)*(68 - 142*t - 68)) to the form p + h*t + m*t**2 + j*t**3 + k*t**4 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = -166*c + 1013. Calculate the remainder when d(4) is divided by 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence vfh when three letters picked without replacement from {v: 1, y: 2, f: 3, h: 3, l: 10}?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -1130*t - 81908 + 30605 = 25*t - 108*t for t.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 329591.9 years in millennia?\nAnswer: 329.5919","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k - 13 = 3*p, 8*p - 2*k = 11*p + 17. Put -10, 24, p in increasing order.\nAnswer: -10, p, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*n + 23*w - 22*w = -29, -2*n + 27 = -3*w for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*b - 37 = -4*t, -3*b = 5*t + b - 46. What is the least common multiple of t and -4 + 4\/8*44?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -69*u - 13610 = -79*u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Add 0.13 and 578.\nAnswer: 578.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.47 - 0.34. Let h = t - -0.07. What is the second smallest value in h, 1\/3, -0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = d**2 + 6*d - 2. Let v be z(-6). Let u be v\/5 - (-51)\/15. Find the second derivative of 0*n**u - n + 2*n**3 - n wrt n.\nAnswer: 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4 + -5 + (sqrt(1700) + 1 + 4)*1)**2.\nAnswer: -80*sqrt(17) + 1716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -2a8f - -3?\nAnswer: -2a8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*q + g = 6, 0*q + 4*q = -2*g. Suppose 56 = q*z + 2*z. Is 7 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 48*q**4 + 5*q**3 - q**2 - 943*q + 3.\nAnswer: 1152*q + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sum -0.1 and 0.956773985.\nAnswer: 0.856773985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence uf when two letters picked without replacement from fbmuy?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -214*h**3 + 2*h + 100 wrt h?\nAnswer: -1284*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = -13*c**3 + 5*c**2 - 5*c - 5. Let a(f) = 3 - 3*f**2 - 1494*f**3 + 3*f + 0 + 2999*f**3 - 1499*f**3. Give -5*a(v) - 3*l(v).\nAnswer: 9*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 2038*r - 1535 + 800 = 7417 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -42, 4, -29.\nAnswer: -42, -29, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = 12*b - 10*b - 4*b. Let u(y) = y. Give f(u(d)).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 257454.\nAnswer: 2, 3, 14303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-4)\/(-12)*-6*(-1 + 10)*(-19)\/627?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + ((sqrt(114) - (sqrt(114) + sqrt(114)*-1))*2 + sqrt(114))\/((3*sqrt(486) - sqrt(486)) + sqrt(486)) + 0.\nAnswer: sqrt(19)\/9 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 d when four letters picked without replacement from luuuduuuduuigulguuu?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -47*x + 6 + 163*x + 130*x - 6 to the form v*x + o and give v.\nAnswer: 246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -4420 (base 8) in base 4?\nAnswer: -210100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round 4940000 to the nearest one hundred thousand.\nAnswer: 4900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(936)*3 + sqrt(936))\/(sqrt(20)\/(sqrt(20)\/sqrt(2))).\nAnswer: 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h = -2.46 - -2.86. What is the closest to 0 in -0.2, h, 4\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = 93*w - 180*w + 93*w - w**2 - 7. Give f(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 92, 100, 122, 164, 232, 332, 470?\nAnswer: 652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 100650823?\nAnswer: 7, 13, 85081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 533126663 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} {"text":"Question: Let q(l) = 3*l - 4. Suppose 8*z = 73 - 25. Determine q(z).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (-2)\/(4\/(-238)) + -4 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (x**2 + 0*x**2 - 2*x**2)*(19*x**2 + 3*x**2 - 3*x**2) in the form p*x**4 + l*x**3 + o*x + m + b*x**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = -3*o - 82. Let m be b(-28). Let t(y) = -2*y**2 - 2*y. Let f(p) = -p. What is m*f(w) - t(w)?\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate 324 divided by -9.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c = 8 + 9. Let y be (2 - -1)*(-1560)\/(-36). Suppose -7*t + 4 = -9*t, 4*a - y = t. What is the remainder when a is divided by c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 39292745939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 52 + 909298*j + 107*j**2 - 112*j**2 + 909303*j - 52 - 1818601*j.\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -2 - -40?\nAnswer: 3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert -223 (base 7) to base 2.\nAnswer: -1110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f = -7 - -9. Suppose f*w = 7*w - 190. Calculate the remainder when w is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + 4 + -4 + sqrt(6)\/sqrt(3) - sqrt(320)\/(sqrt(1080)\/sqrt(3)).\nAnswer: -3 + sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = 4*q - 15. Let z be i(-6). Let r = z + 41. Find m such that 3*m**2 + r*m - 4*m**2 + m + 0*m = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 21 - 20. Which is the closest to m? (a) 3 (b) -0.3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 30*c + 36*c**2 + 254*c - 40*c**2 - 552 = 0. What is c?\nAnswer: 2, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 9 divide 3249?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = -w + 6*w + 2*w**2 - 5*w**2 + 74 - 78. Determine h(4).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1 + 5 + (12 - 5) + -14?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t = 952 + -561. What is the greatest common factor of t and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = w**3 + 33*w**2 - 58*w - 41. List the prime factors of a(21).\nAnswer: 5, 13, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 20297926 a multiple of 262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = -22*h - 1. Let z be n(0). Is z less than 9\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {e: 4, l: 2, c: 2, r: 8, n: 3}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.1192 + -1222.1192. Let k = -1222.0761 - y. Round k to 2 decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -396 - -425. Solve w = 3*f + 32 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 4307 + -2551. List the prime factors of g.\nAnswer: 2, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = -6*v - 38. Let y be r(-7). Solve -y*g - 18 = g - 2*a, -2*g = -5*a + 24 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3 = -c + r, 4*c + 11 = 5*r - 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 0 (base 9) in base 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*(((sqrt(80) + 1)**2 + sqrt(80))*5 - (-5 + 1*sqrt(80))) + (5 + 4 + sqrt(80) + 0 + -2)**2)*-4.\nAnswer: -7076 - 1120*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t - 2*t - i + 15 = 0, 5*t - i - 25 = 0. Suppose v = -h + 116, -t*v - h = -2*h - 592. What are the prime factors of v?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -270.1 + 361. Let t = y - 87. Let x = 4 - t. Which is the closest to x? (a) 1\/6 (b) 1\/2 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 11438 and 42.\nAnswer: 34314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = 413*c + 3303. Let g(y) = -202*y - 1652. Let q(f) = 9*g(f) + 4*r(f). What is the derivative of q(m) wrt m?\nAnswer: -166","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -46 + 44.8. Let x = -1.1998 - b. What is x rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = a**2 - 7*a - 4. Suppose -2*s + 2*u + 23 = s, -2*u = 2*s - 12. What is the remainder when s is divided by w(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (1 - 1) + (3 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 s when two letters picked without replacement from ggggsggsssg?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = -547*i + 2767. Let h be t(5). Solve 10 = 4*f + 2*p, -h*p + 10 = f - 29*p for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 8511?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) be the third derivative of 7*s**2 - 1\/2*s**3 + 0*s - 1\/24*s**4 + 0. Determine a(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = 15*k**2. Let h(w) = -11*w + 5*w + 8*w. Calculate h(m(b)).\nAnswer: 30*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y = 16141\/5660 - 1\/566. Calculate the common denominator of (1\/(-28))\/((-2)\/148) and y.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be -46*(2 - 3\/2). Let c = p - -33. Suppose -9*i = -13*i + 8. What is the highest common divisor of i and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = -3*s**2 - 7*s - 9. Calculate i(-3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = -95*v - 3925. Give w(-39).\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y**(-2\/9))**(-23\/6))**(-21)*(y**1)**(7\/6)\/((y*y\/((y\/(y\/(y**(1\/4)\/y*y)))\/y))\/y)**(-2) assuming y is positive.\nAnswer: y**(-119\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 72\/56*((-1)\/3)\/(-1)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2749 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 - 13 = -5*f, 3*v = -5*f + 31. Suppose v*m = 4*t + 366, -5*t + 10*t = -15. Suppose -19 = 2*w - m. Is w a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 75601*j - 73810*j = -229248 for j.\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b = -38 - -38. Suppose b = -4*m + m - 24. Is 1*(-4)\/16 - 2010\/m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 83487813?\nAnswer: 3, 27829271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) be the second derivative of c**5\/10 - 5*c**4\/6 - 8*c**3\/3 - 11*c**2 - 58*c + 2. What is the units digit of u(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = 3*f**2 + 5*f + 5. Let h be c(-2). Let r(k) = -2*k + 14. Let y be r(h). Let x = -85\/3 + 28. Is x bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3\/12 + ((-2)\/(-19))\/((-120)\/165).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Convert 3783422 (base 12) to base 4.\nAnswer: 221132022122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve b**5 - 51*b**4 - 472*b**3 = 0.\nAnswer: -8, 0, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*v + 92 = -u + 90, v - u - 2 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*k**3 - 8428*k**2 + 4096216*k - 8158752 = 0. What is k?\nAnswer: 2, 756, 1349","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -24*w - 341 = -5*i, 2392*i + 5*w = 2391*i - 69 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 9\/(-126)*2*-3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1366320?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 67610 is divided by 59160.\nAnswer: 8450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/2 in 3\/7, -0.3, -2.8, 11\/21, 1\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is (-5)\/((-140)\/(-48))*(-9)\/(1620\/(-20))?\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 5742411364 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = -6*t - 16. Let s be -3 + (1 - -2) - t. Solve 1\/4*u**s + 0 + 0*u + 3\/4*u**3 + 1\/2*u**2 = 0 for u.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -3033400415 + -11?\nAnswer: -3033400430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = -12495*f + 87471. What is x(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = 79*i**2. Let p(g) = -7*g**2 - 5484*g. Give p(o(u)).\nAnswer: -43687*u**4 - 433236*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Divide 13078640 by 4.\nAnswer: 3269660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (22 + 21 + 23 + (1 + 3 - 2)*(-1 - 2 + 0))*(4*f**5 - 2*f**5 - f**5).\nAnswer: 60*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 81 = 3*d - 3*r, -2*r = -2*d - 3*r + 45. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.442 and 10.84?\nAnswer: -4.79128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) be the third derivative of 0*s**3 + 33\/35*s**7 + 121\/336*s**8 + 0*s - 7\/10*s**6 + 2\/15*s**5 + 0 + 23*s**2 + 0*s**4. Factor k(g).\nAnswer: g**2*(g + 2)*(11*g - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*d + 41 - 44 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 33b0 (base 16) to base 12\nAnswer: 77a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) be the second derivative of -5\/6*u**4 + 1\/20*u**5 - 4*u + 9*u**2 + 4\/3*u**3 + 18. Determine x(9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-7 - 344\/(-56))*7\/(-4). Factor 9\/2*v**2 - 9\/2*v**3 - x*v + 3\/2*v**4 + 0.\nAnswer: 3*v*(v - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) be the second derivative of -47*u**6\/6 + 23*u**5\/2 + 20*u**4 - 115*u**3\/3 - 5*u**2\/2 + 2406*u. Find r, given that b(r) = 0.\nAnswer: -1, -1\/47, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 33*f - 2*f = 12*f - 95 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 5*3*3*(-3)\/27\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 100 = 24*z - 4*z. What is the closest to 2 in -0.06, z, -0.3, -2\/11?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 84, 100, 134, 192, 280, 404?\n\"Answer: y**3 + 3*y**2 + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(24)\/(sqrt(12)*-2*4).\nAnswer: -sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Does 16 divide 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from kajajkakjaajkaaa. What is prob of sequence jj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 100002 is divided by 76.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 28 = -3*p + 7*p. Let k = 58 - 16. What is the greatest common divisor of p and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = 113*g**2 + 8*g + 1. Let a be x(-7). Let m(l) = -a + 5482 - 11*l**2 - l. Suppose r = 3*r + 2. What is m(r)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -9408 divided by 1.\nAnswer: -9408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -7*k + 6*k - 905 - 2*k**2 - 33 - 884 to the form a*k + y + i*k**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 5.359517 centimeters?\nAnswer: 53.59517","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 203*d - 179*d - 120 = 0. Put -4, 2, 0, d, 67 in decreasing order.\nAnswer: 67, d, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = -2*f**2 - 89*f - 485. Give u(-6).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/13? (a) -16 (b) -5 (c) -0.95 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 + 4 - 3*x)*(1 - 1 - 1).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = -77*w**2 + 8475*w - 538. Calculate n(110).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert 2 (base 12) to base 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 310426 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v = 173 - 90. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r - 2*k = -9 - 13, 2*k = -r + 15. Suppose 6*v = -1 + r. Which is smaller: v or 12?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1057 or 0?\nAnswer: 1057","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 1037853 smaller than 1037867?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 53\/400 and 87\/8?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u be -4 + 3 - (0 - (0 - -3)). Let l(r) = 3*r + 1 - 1 - u*r. Let q(o) = -3*o. Give 6*l(j) + 3*q(j).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/4? (a) -0.5 (b) -0.2 (c) 4\/213 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b**4 + 92*b**3 = 0. Calculate b.\nAnswer: -23, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert 163644 (base 7) to base 2.\nAnswer: 111111100111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 32 + -10?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = u - 6. Let g be t(8). Suppose 4*y = 2*k + g*k - 20, -y = 4*k - 35. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 154869886 and 978.\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -399627, -399649, -399671, -399693, -399715?\nAnswer: -399737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify y**14\/(y\/y**(6\/5))*(y**1*y)\/y*y*y**18 assuming y is positive.\nAnswer: y**(171\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.3 - -0.97. Let u = -0.37 + q. Let g = 13 - 10. What is the closest to 0 in u, 32, g?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -5*p**2 - 6*p + 2*p**2 + 19 - 19 to l*p**2 + h*p + i and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 10660 and 10598705.\nAnswer: 42394820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify p*(p*p**(-5)*p)\/p*p**(1\/7)*(p\/(p**(-1)\/p)*p)\/(p\/p**(1\/30)*p) assuming p is positive.\nAnswer: p**(-173\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) = -2*a**2 + 3*a - 3. Let q be k(-3). Let g = q + 62. What is the remainder when g is divided by 33\/(-2)*2\/(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -611 + -3630412?\nAnswer: -3631323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 1273 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) 3\/2 (b) -90\/7 (c) -0.5 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: (69\/(-14007))\/((-2)\/14)\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2 - 2 + 3)*(-1105*u - 1078*u + 2100*u)*(-6*u - u - 3*u + (-2 + 1 - 1)*(-4*u + u + u) - 2*u - u + 4*u) to the form f + z*u + v*u**2 and give v.\nAnswer: 1245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 174029437 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00005144 to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h\/(h**(4\/9)*h))\/(h**24*h))\/(h**(1\/52)\/(h*h\/h**23)) assuming h is positive.\nAnswer: h**(-21745\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x = 30288.4 + -30288. Let m be ((-10)\/3 + 0)*3. Let z = m + 5. Put z, -0.03, x in decreasing order.\nAnswer: x, -0.03, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 16.3328 - 1.3328. Let n(k) = -k - 1. Let q be n(-6). What is the second smallest value in -1, a, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 213426113?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 287321039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f be (3\/3 - 0) + 69. What is f rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = 10*w**2. Let k(r) be the first derivative of 4*r**3 + 20 + 88 + 1. Give c(k(y)).\nAnswer: 1440*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Convert 118963 (base 13) to base 15.\nAnswer: 84257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r + 2*r + 48 = 0. Let j be (1\/(-1))\/(6\/r). Suppose h = 13 - j. What is the least common multiple of h and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 102 + -106. Let u = -3 + 4. What is the third smallest value in 2\/7, u, m?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 4ef5e (base 16) to base 6.\nAnswer: 10533154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a - 4*d = 112, 58 = 2*a - 0*d - 3*d. What is the derivative of 18*b + 12*b - a*b - 4 wrt b?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -2 (b) -0.43 (c) 1\/5 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 4, -3, -4\/5, 2, 2\/2057?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13 = -5*m + 2. Suppose m*r = v - 4 - 2, 2*r + 6 = 0. Let g be v + 13 + (4 - 2). Are g and 12 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 46 + 19?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (-263)\/(-3) + 10\/(-15) + 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3 a factor of 222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -51*c = -121*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (p - 6*p + 81*p**2 - 77*p**2)*(-8*p**3 - 2*p**3 + 3*p**3) + (2*p**3 + 1 - 1)*(-5*p + 2*p**2 + 5*p) - 2*p**5 + 4*p**5 - p**5.\nAnswer: -23*p**5 + 35*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v = 16\/77 + -807\/616. Let p = -3986\/3 - -1316. Let z = p + 11\/12. Find the common denominator of v and z.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 269744 and 290268?\nAnswer: 26704656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {h: 4, j: 1, v: 3, b: 2, m: 2}. Give prob of picking 2 m and 1 b.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p be (2 + -1)\/((-5)\/(-10)). Suppose 3*u + 5*v - 1 = 0, -p*v + 8 = -5*u + 20. Suppose 0*r - 2*r + 40 = u*n, -3*n = r - 70. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 446720179?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-5)\/(-30) + (-106)\/(-12). Suppose -4*l - w = -s, 0 = l - 2*w - 2 - 7. Suppose 0 = -5*v - 15, l*u + 23 = -3*v + 65. Does 11 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) = 13*x. Suppose 40 = 15*y - 10*y + 3*h, -h + 15 = 2*y. Let z(a) = 1127*a + 1125*a + y*a**2 - 2252*a. Give z(q(t)).\nAnswer: 845*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) be the third derivative of -23*h**6\/20 + 19*h**4\/24 - 70*h**2 + h. What is the second derivative of p(v) wrt v?\nAnswer: -828*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3034 divided by -2?\nAnswer: 1517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = 13*q - 892. Let a be l(69). Solve -2*t - 16 = i + 3*i, t - 13 = a*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r = 4*k - 22, -3*k + 0*r + 3*r = -12. Suppose k*m + s = 170, -15 = -0*m - m - 4*s. Suppose -4*o = -m + 11. Sort -3, 5, o.\nAnswer: -3, 5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 25*u + 3009 - 9309 = 0. What is the highest common divisor of 308 and u?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 8462 - 8457. Let s(m) = 2*m**2 - 13*m - 1. What is s(k)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -3*1*(-46)\/69*(-1)\/(-6)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 11694015 is divided by 730870.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 7*((-4)\/(-18) - 172\/126)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 13462 is divided by 2677.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 32\/5 of a kilogram in grams?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 9*l*u - 33*l + 2860*u with respect to l.\nAnswer: 9*u - 33","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 16 a factor of 1358966853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/3 in -5, 0.1, 1083, -2\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q = 3.0907 + -3.0851455. What is q rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 897426 is divided by 1434.\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = -s**3 + 8*s**2 + 11*s - 9. Let m be a(9). Factor -m*g - 5 - g**2 + 5 + 8*g.\nAnswer: -g*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -468*z = -36*z + 1657 + 7847 for z.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 4.13616695 rounded to four dps?\nAnswer: 4.1362","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*t + b + 4313 = 26154, 0 = -2*t - 4*b + 8722. Let p = 1431 + t. What is p rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = -4*y**3 + 22*y**2 + 32*y - 196. Let h be j(5). Calculate the greatest common factor of h and 41342.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*t - 3*t = -67599. Let y be 22467\/(2*(-1)\/(-2)). Suppose -t = -5*j + y. Round j to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13 + 3 = u. Suppose -2*l = 0, 44 = -3*p + 5*p - 3*l. Suppose 0*y = -4*y + 5*a + p, 0 = -3*a + 6. Calculate the highest common factor of u and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1 (base 5) in base 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 9828 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d = -6 - -20. Let m be 1\/((3 + -7)\/1 + 3). Let i(r) = -16*r**3 + r**2 + 5*r + 4. Calculate the lowest common multiple of i(m) and d.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*y**2 - 8*y**3 + 2*y**2 + 2*y**3.\nAnswer: -6*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-7)\/5 + ((-67032)\/(-1080) - 59).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = -3*g - u, 5*u + 1 = 5*g + 2*u. Let k = -70 - -348\/5. Let v = 1466\/7 - 210. Which is the nearest to g? (a) k (b) 1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 3 + 9*r - 2 + 19*r + 65*r in the form y + c*r and give c.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 49\/20830 and -3\/20830.\nAnswer: 20830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -23874 (b) 5 (c) -4 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = 42*x - 54. What is the least common multiple of w(2) and 310?\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -1\/52 - -55\/156. Let r(t) be the second derivative of 0*t**2 + 0 - 4*t + f*t**3. Let d(p) = -7*p. Give r(d(o)).\nAnswer: -14*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -12 = 6*c - 2*g, -c - 10*g + 11*g = 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is (-21 - -27 - 9) + 1 + 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j = -765 - -33082. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -34\/5 and (3\/27)\/((-1)\/(-59)) - 1.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2 - (7 - (-1 - -4))) + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*x - 4*y - 235, 5*x + 5*y = 422 - 7. Let l = x - 78. Solve f - l*f = -4*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*c**2 + c**2 - 3*c**2)*(0*c - 2*c + 0*c)*(0 - 2*c + 0)*(-6 + 6 - 7*c).\nAnswer: -56*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in -5, 3, -33312, -2\/89, -2?\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-1 + 14\/28)*364\/49. Which is the closest to 0? (a) 1.11 (b) k (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 2\/585 - 15799\/1170. Let c be (4\/4 - 19) + 4. Which is smaller: c or w?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 151 + -107. Let k = -8 + p. Let a(i) = -i**3 + 5*i**2 + 7*i + 7. Calculate the remainder when k is divided by a(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) be the third derivative of o**5\/60 - o**3\/6 + 2*o**2. Let c(f) = 8*f**2 + 2. Let a(s) = 4*b(s) - c(s). What is the first derivative of a(v) wrt v?\nAnswer: -8*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 13346 - 2*f**2 + 151*f - 13348 + 90*f in the form p*f**2 + d*f + x and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = -3*d**3 + 154*d**2 - 353*d + 121. Calculate b(49).\nAnswer: -369","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence didi when four letters picked without replacement from {c: 2, d: 2, i: 3, x: 3, w: 5}?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {x: 4, m: 2}. What is prob of picking 3 x?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1\/4*70\/60*(-7)\/49.\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 68 and 3842.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y = m - 1399999, 3*y + 840004 = -5*m + m. Round y to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 9\/88 and 85\/81912.\nAnswer: 901032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Does 19 divide 1767?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 692 minutes after 7:03 PM?\nAnswer: 6:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n = -4562 + 4742. Suppose 4*g + 4*a - 90 = 2*a, 2*g + 3*a = 55. Calculate the greatest common divisor of n and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = -14*w**3 - 9*w**2 - 10*w - 87. Let j(f) = 20*f**3 + 12*f**2 + 15*f + 131. What is 7*c(l) + 5*j(l)?\nAnswer: 2*l**3 - 3*l**2 + 5*l + 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -200210 (base 3) in base 10?\nAnswer: -507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 832010112.\nAnswer: 2, 3, 53, 13627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -s + 93 - 87. What is the greatest common divisor of 192 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -4.638 + 5.138. Let i = 21 - 17. Which is the third biggest value? (a) i (b) 0.59 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z - 2*z + 90 = -5*t, 4*t = -5*z - 31. Let i(y) = -y - 11. Let f be i(t). Let l be ((-1)\/f)\/((-4)\/18). Sort 1\/4, l, -18 in ascending order.\nAnswer: -18, 1\/4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 3.011 - 0.011. Let k be (32\/20)\/(2\/10). Suppose -4*z = 8 + k. Which is the nearest to h? (a) 2\/7 (b) z (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -17250 by -3450.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -1225.429 rounded to 0 decimal places?\nAnswer: -1225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 410 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is g in -3042*g**4 - 780011700*g**3 - 50001540011834*g**2 - 5128356924200*g - 131496278792 = 0?\nAnswer: -128207, -2\/39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a = -4.198 - -17.756. What is a rounded to 0 decimal places?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 289, 260, 233, 208, 185, 164?\n\"Answer: n**2 - 32*n + 320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -4 in 27, 0, 3, 78?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k = 16 + -1. Let i(z) = 4*z - 51. Let x be i(16). Let h be x - (0 + (3 - (5 - 5))). What is the greatest common factor of h and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1 + 6 + -13 + 1 - 3.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 210421092?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*c = -4*x + 103, 0*c + 26 = c - x. What are the prime factors of c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 691246 and 1731?\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((-2)\/(-90))\/((-10)\/(-30)). Let f(h) be the second derivative of 0 + 0*h**3 + s*h**6 + 0*h**5 + 0*h**4 - 5*h + h**2. Differentiate f(x) wrt x.\nAnswer: 8*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be -2 - (-24)\/13 - (-24)\/(-182). Let l = 0 + 0. Which is smaller: b or l?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 119\/583974 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Round -0.08987059 to 3 dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in eighteen fifths of a milligram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -b**2*t - 85*b*t - 117*t wrt b.\nAnswer: -2*b*t - 85*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Put -167, -166, 5\/4 in increasing order.\nAnswer: -167, -166, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c = -93 + 139. List the prime factors of c.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 28\/(-14)*1\/4*-18?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Subtract -1293940056528 from -0.2.\nAnswer: 1293940056527.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1555 - 6295\/4. Let d = -382979 + 81191567\/212. Find the common denominator of r and d.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*p - 5*a - 11, -a = -2*p + 7. Solve v - 2 = p for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -361*v + 358*v - 2*b + 22, -5*b + 33 = 2*v. Calculate the highest common factor of v and 662.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z = 2, -5*a - 13 = z - 236. Suppose 0 = 4*v - 2*m - 126, 25*m = -3*v + 26*m + 93. Calculate the smallest common multiple of a and v.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -47 - -46. Let y be (p + 1)\/(-1 + 7 + -7). Solve y = a - 0*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2*(945\/30 - 21 - 17)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = -a**3 - 11*a**2 + 6*a - 3. Let r be i(-12). Let 0*w**3 + r*w**4 - 4*w**3 - 2*w**2 - 71*w**4 = 0. Calculate w.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 s and 2 o when four letters picked without replacement from ssoosoo.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r = 786 - 561. Calculate the highest common factor of r and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -158*p + 52*p - 47*p + 918 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put 4, -1317, 0, -67, 2\/81 in ascending order.\nAnswer: -1317, -67, 0, 2\/81, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in twenty-seven quarters of a centimeter?\nAnswer: 67500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d + 6 = -6. Let s = 25 + -25. What is the closest to s in d, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 12 - 502202?\nAnswer: -502150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*sqrt(187) - sqrt(187))\/sqrt(11) - (sqrt(68)\/sqrt(4) - sqrt(17))**2*-3.\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + (sqrt(152) - (-2*sqrt(152) + sqrt(152)))\/sqrt(8).\nAnswer: 1 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k = 272.6 - 339. Let z = -66 - k. Which is the nearest to 0? (a) 0 (b) 5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(55) + (sqrt(55) - sqrt(110)\/sqrt(2))*6 - sqrt(55))\/sqrt(11))**2*6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = -j. Let o be 3*(-2)\/(-3) - -3. Let h(z) = 0*z + 2*z - o*z. What is h(k(p))?\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 13*b**2 + 3*b*m**3 - b + 304*m**3 wrt b.\nAnswer: 26*b + 3*m**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t be (4\/(-6))\/(-4 - (-67962)\/16992). Calculate the highest common factor of 16 and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -559*x + 560*x - 4 = 0. Solve -z + 4*a = 2*z - 10, z = -x*a - 18 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:46 AM and 8:56 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round -3588342840 to the nearest 1000000.\nAnswer: -3588000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 11942584*n*y + 32055388*n + 8*y + 2 wrt y.\nAnswer: 11942584*n + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*c + t = -10, -3*c + 9 = -2*t + 2. Let l be 0 - (-9)\/3*c. Put -2, l, 3 in decreasing order.\nAnswer: 3, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 1\/717, -1\/2, -4\/3, 0.2 in descending order.\nAnswer: 0.2, 1\/717, -1\/2, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*a**2 - 279*a - 8850.\nAnswer: 3*(a - 118)*(a + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 17437 and 234746858.\nAnswer: 1643228006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-21)\/(-6) + 3\/6. Suppose 3*r = -g + 10, 0 = 4*r - z*g + 3*g - 4. What is the greatest common factor of 16 and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {z: 14, f: 4}. Give prob of sequence fz.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b = -109.3 - -123. Let c = b - 11.5. Is 1 at most c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/5 in 5, -2, -2\/283?\nAnswer: -2\/283","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y be 0 - (0 - (0 - -2)). Let h = y + 13. What is the remainder when 57 is divided by h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -3 - 8878?\nAnswer: -8881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-1 + 1 - 1)*(-o - 5*o + 4*o) - 5*o + 0*o + 4*o)*(173*o - 60 + 60).\nAnswer: 173*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 95, 388, 885, 1592, 2515?\n\"Answer: n**3 + 96*n**2 - 2*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y = 50 + -43. Differentiate 38 + 8*c - y*c + 21*c + 9*c wrt c.\nAnswer: 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -55\/422 and -97\/18.\nAnswer: 3798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i = -6*i + 6. Let n be 80 - (i\/3)\/(-1). Suppose -3*u = 3*v - n, -3*v + 85 - 14 = u. What is the least common multiple of 4 and v?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence fqqy when four letters picked without replacement from {f: 1, y: 3, o: 3, q: 4}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 35*w**3 + 218*w**2 + 5*w + 997080.\nAnswer: 105*w**2 + 436*w + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) be the second derivative of g**5\/10 + 3*g**2\/2 + 6*g. Find the first derivative of h(m) wrt m.\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 41 = -5*m + 56. Put -1, m, 0 in descending order.\nAnswer: m, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -60366744*j**5 - 5126732*j - 8.\nAnswer: -1207334880*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand ((5*a - 4*a - 2*a)*(3 + 3 - 4) - 2 - a + 2)*(1 + 0 + 1)*(-1 + 5 - 5) - 2*a + 2*a + a.\nAnswer: 7*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is next in -5, -18, -49, -104, -189, -310, -473?\nAnswer: -684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 2*r**4*x - 17*r**4 + 1673*r**3*x + 678*r**2*x + r**2 + 12*r*x + 21 wrt r.\nAnswer: 48*r*x - 408*r + 10038*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 971539, 971541, 971543, 971545?\nAnswer: 971547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.1 and 0.104.\nAnswer: -0.0104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = -v**2 + 2691*v - 142394. Calculate w(54).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 55 times 0.060858?\nAnswer: 3.34719","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b = -6969.58736 - -6968. Let p = -1.677 - b. Let i = p - -0.09. Round i to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = 6*x - 7*x - 6*x - 1. Give h(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {d: 9, s: 2}. What is prob of picking 1 d and 1 s?\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-20)\/(-50))\/((-2)\/14 + 72\/700)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -117 = -4*c - b, 0 = c + 4*b - 18 - 0. Calculate the smallest common multiple of 335 and c.\nAnswer: 2010","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 65\/10 + (-2)\/4 - 0. Let i(s) = -238*s**3 - 85*s**2 + 85*s + 85. Let r(q) = -17*q**3 - 6*q**2 + 6*q + 6. Calculate o*i(l) - 85*r(l).\nAnswer: 17*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 13\/8 of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 2517264 divided by 3?\nAnswer: 839088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x = -57 + 134. Let q = x + -74. Let u be 7 + -5 - 2*-1. Which is the closest to 0? (a) u (b) 3\/8 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -7309886, -7309947, -7310008, -7310069, -7310130?\n\"Answer: -61*p - 7309825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u = -14 + 15. Which is smaller: -0.24 or u?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5306 = -22*r + 2988. What is the greatest common divisor of 52 and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 204 and 1017008?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-18)\/12 + (-44)\/(-8) + -121. Let s = 133 + q. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -81*z**4 - 1502*z**2 wrt z.\nAnswer: -1944*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = -23*m**2. Let l(j) = -3*j**2 + 2*j - 2. Let z(v) = -13*v**2 + 9*v - 9. Let x(d) = -9*l(d) + 2*z(d). Determine i(x(t)).\nAnswer: -23*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2*l**3*q - 667*l**2*q - 2*l**2*r + 2*l**2 + 3*l*q - 8*l*r - q*r + 7*q wrt l?\nAnswer: -12*l*q - 1334*q - 4*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**23)**(1\/16)*z\/((z\/z**(-29))\/z*z*z)*z*z**0*z assuming z is positive.\nAnswer: z**(-425\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-357 - -359)\/((-2)\/15)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 337789 is divided by 3882.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h + 46 = 5*z + 13, z - 2*h + 3 = 0. Let l(j) = -6 + j + z + 5 - 3. Suppose 2*q - 3 = q. Give l(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2 - 121 - (-3868 + 3853).\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/3 in 0, -152.19, 0.3, -8\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Determine p, given that -2*p**4 + 2*p**3 + 20*p**2 + 16*p = 0.\nAnswer: -2, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Factor a**3\/3 + 466871*a**2\/3 + 54490031680*a\/3 - 163482700800.\nAnswer: (a - 9)*(a + 233440)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 2839 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = b**2 - 3*b + 4. Let n be k(5). Suppose n = 4*r - 14. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -223 + 225. Let f be 0*(5 + (-11)\/i). Solve -4*p + f*p + 12 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 68090497 - 598029?\nAnswer: 67492468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 76490 is divided by 76482.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*h**2\/7 + 1398*h\/7 - 21856\/7.\nAnswer: -2*(h - 683)*(h - 16)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = 7834*i - 3. Let q be b(2). Suppose -4*z - q = 4691. Let r be 1\/(-2) + z\/(-14). Calculate the greatest common divisor of r and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 40 and 1455.\nAnswer: 11640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence qvv when three letters picked without replacement from {v: 15, q: 3}.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 + t - 5 - 4*t)*(0*t**3 + 0*t**3 - t**3).\nAnswer: 3*t**4 + 2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*-1*sqrt(204) - 3*(sqrt(204) - 3*sqrt(204)))\/(-3*sqrt(12)*4 + sqrt(12) + (-1*sqrt(12) - sqrt(12))*2) + 5.\nAnswer: -4*sqrt(17)\/15 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Does 11 divide 17408138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3663 = 4*g - 15161. Let h = g + -3265. Let k = h - 864. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 205755284?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -2*q*z**3 - 15*q + 31220*z**2 + 228 wrt z.\nAnswer: -6*q*z**2 + 62440*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {g: 2, p: 1, c: 1, t: 5, y: 1}. Give prob of picking 1 g and 2 t.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*g - 10 = -5*c + 16, g + 18 = 5*c. Calculate the lowest common multiple of ((-6)\/8)\/(6\/(-16)*4)*94 and g.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 109\/5, -1\/48, 3\/8 in increasing order.\nAnswer: -1\/48, 3\/8, 109\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -157540934*a**5*o**3 - 3*a*o**3 - 1914*o**3 - 3811 wrt a.\nAnswer: -3150818680*a**3*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c\/((c*(c\/c**(3\/4))\/c)\/c))\/(c\/(c**(7\/3)\/c)))\/((c\/(c*((c**0\/c)\/c)\/c))\/((c\/(c**4\/c))\/c)) assuming c is positive.\nAnswer: c**(-47\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w = 166 + -27. Let u = w - 140. Which is smaller: u or 2\/29?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = 0*u**2 + 2*u**2 - 3*u**2 + 2*u - 1. Let t(z) = z**3 + 18*z**2 - 28*z + 241. Let r be t(-20). Determine l(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -18645 divided by 5\nAnswer: -3729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -45 + 135 + 9 - 47 + 10*j**2 - 52.\nAnswer: 10*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from rzsrriiirgsigitsig. What is prob of sequence gi?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00964 to 3 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = o**2. Let a = 60 + -58. Let n(j) = -2 + 3 - j**a - 1. What is k(n(z))?\nAnswer: z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l = 203 - 90. Let r = 103 + l. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = -s**3 - 12*s**2 - 11*s + 2. Let d be y(-12). Suppose p - 4*p - q + d = 0, 4*q + 168 = 4*p. Is p a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 10 + 0. Suppose p - 5 = 0, -2*z = 3*z - 5*p - o. Let a = z - 5. Solve 2*t - n = 5, 0*t + 4*n - a = -3*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*f**2 - 3*f**2 + 14*f**2)*(f + 4*f - 2*f)*(-76*f - 369 + 369).\nAnswer: -1824*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = -d**3 + 20*d**2 + 99*d - 59. Determine p(24).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = 6609*c + 91944. Determine w(-14).\nAnswer: -582","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) -49\/2 (c) 8 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 49856 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6800 is divided by 23?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {h: 9}. What is prob of picking 3 h?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h = -5.444 - -0.054. What is h rounded to 0 decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d**(1\/2)\/d)\/(d**5\/d)*d**(-5)*d**(-3))**(23\/5) assuming d is positive.\nAnswer: d**(-115\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -0.4*123559\nAnswer: -49423.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p*p*p\/(p*p*p**(-27)\/p*p)*p*p**(-1\/4))**(-1\/11) assuming p is positive.\nAnswer: p**(-115\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Are 828\/223 and 3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(85) + (sqrt(85) - sqrt(85)*4*6))\/(sqrt(5) - -4*sqrt(125) - sqrt(5))*-6.\nAnswer: 33*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 143*o - 2*h = 145*o + 16, 0 = -5*o - 11*h - 82. Which is smaller: o or -1413?\nAnswer: -1413","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 17622032419 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 33984182?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r = -15 + 1. Let j(i) = 31 + 26 - 26 + 2*i. Let g be j(r). Solve k + w = 3*w + 3, 19 = g*k + 4*w for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2632 is divided by 841?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*(sqrt(1539)*-1*5 + 0)*-2 + 1)**2*2 + 0.\nAnswer: -1440*sqrt(19) + 4924802","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d = -2.158 + 2.15798966. Round d to 6 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify b**5\/(b\/(b**1*b))*b**4*b**(-4) assuming b is positive.\nAnswer: b**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate -557368 - -171.\nAnswer: -557197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 108*m = -124*m + 46*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z = 81 - 81.3. Which is the closest to -4? (a) -3 (b) 1\/6 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 27 + -19. Suppose -20*j = -f*j. Solve j = -l + 5*h - 7, -5*l + l + h = -10 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 241602, 481305, 721008, 960711, 1200414, 1440117?\nAnswer: 1679820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 k and 1 w when two letters picked without replacement from {m: 2, d: 6, w: 1, k: 1, q: 9}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -39751300 divided by 100?\nAnswer: -397513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -12 + 100*h - 2*h**2 - 100*h to the form n*h**2 + s + a*h and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 1728 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 210\/150*(-22)\/(-77)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = -2254031*h**2 - 12. Let o(u) = -u. Calculate d(o(n)).\nAnswer: -2254031*n**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 208872 and 90072.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 121313.\nAnswer: 121313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = y**2. Let b(l) = 6*l**2. Let g = 36 + -35. Let x(j) = g*b(j) - 4*k(j). Let r(c) = 3*c**2 - 8*c**2 - 3*c + 3*c. Give x(r(u)).\nAnswer: 50*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -1110 divided by -13?\nAnswer: 1110\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: (-1 - 4) + (8 - -2 - 1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m + 6 = j, j - 17 = m - 15. Find the third derivative of -28*n**j + 51*n**4 - 21*n**4 - 71*n**2 - 20*n**4 wrt n.\nAnswer: -432*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1970 rounded to the nearest 100?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -12*-0.06\nAnswer: 0.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = 7*c - 4 + 1 + 5 - 3. Is 16 a factor of p(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) be the second derivative of 2*i**5\/5 - i**2\/2 + i. Let a be s(1). Let r = 185 - 185. Solve -a*t + 3*t + 8 = r for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 47731, 190954, 429661, 763852, 1193527, 1718686?\nAnswer: 2339329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) be the second derivative of -x**3\/6 - x**2\/2 + 21*x. Let k be z(-4). Suppose -3*g = 4*w - w - 69, w + k = 0. List the prime factors of g.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*k - 130615 - 128105 = 0. Does 35 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = -5*m - 24. Let o(f) = -f - 3. Let n(h) = 3*h + 8. Let c(l) = 4*n(l) + 11*o(l). Calculate c(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.23 + -0.18. Let s = -41.91 + 42. Let r = s - q. Which is the biggest value? (a) r (b) -0.1 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 19\/57*((-45)\/21)\/(-5)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u*u*u*u*(u**13*u)\/u*u*u**(-9))**(-2\/31) assuming u is positive.\nAnswer: u**(-18\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round -591.8729529 to the nearest integer.\nAnswer: -592","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 5 + 6877032?\nAnswer: 6877037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y + 5*t = -93 + 378, 4*y - t = 203. Let w = -7 - -11. Suppose -10 = -3*m + m, 4*k = w*m - y. Put -3, k, 4, -0.2 in increasing order.\nAnswer: k, -3, -0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -16004760*v**2 + 1222114*v + 1 wrt v?\nAnswer: -32009520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6\/4*(182\/(-117) - -2).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -41 + 42. Let q be (2 - -2)*z\/4. Let o be (1 + -2)\/(-2 + q). What is the biggest value in -5, o, -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 20 a factor of -1*59*(-6 + 5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0 - 0.4. Which is the nearest to 0? (a) o (b) -4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 11*p - 7 = -3*g + 7*p, 4*g = p + 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 8279358 and 474.\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -0.1806 times 1\nAnswer: -0.1806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = -m + 1. Suppose h - 6*h = 2*t - 35, 2*h = 2*t. Give d(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = -k**2 - k - 4. Let b be d(-3). Let a = 14 + b. Are a and 4 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -64\/3 - -22. Which is the second smallest value? (a) q (b) -0.3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = -179*h**2. Let c(x) = 9*x**2. Determine n(c(w)).\nAnswer: -14499*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 21293 and 15697649?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 4cbb1 (base 13) to base 6\nAnswer: 3020123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w + 413 = -0*s - s, 0 = -5*w - 2*s - 690. Suppose 39 + 9 = 12*g. Let r be w\/(-14) + g*2\/28. Calculate the greatest common factor of r and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*i + 3*i**2 - 2*i**2 + 4 - 3*i + i**2 + i**2 + 0*i**2 + 2*i**2 - 4*i**2 + i**2 + (i**2 - 4*i**2 + 2*i**2)*(-2 - 3 + 3).\nAnswer: 4*i**2 + i + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*(sqrt(32)\/sqrt(4)*1 + (sqrt(288) - (0 + sqrt(288))) + 4*(sqrt(8) + -1)*3)**2.\nAnswer: -624*sqrt(2) + 1496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -9*z**3 + 3*z + 78 - 81 + 13*z**3 to b*z**2 + f + p*z + x*z**3 and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) be the first derivative of y**2 - 342*y - 138. Differentiate b(w) wrt w.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1227 + -653. Let r be (-2788)\/w - (-6 + 0). Which is smaller: 7 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2? (a) -1\/3 (b) 1.1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 67272702?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is -0.129 smaller than -1.69?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Does 66 divide (-2340672)\/(-146) + (2 + 8 - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 56590451\/16653 + -71362\/21. Find the common denominator of l and -1\/183.\nAnswer: 2379","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 3 + 0 + 6 + -4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 27951 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y be 2\/10*(4 + -2). Let h(q) = q**3 + 3*q**2 + 2*q + 1. Let v be h(-1). Let p be (7 - 4)*v\/6. Which is the second smallest value? (a) -2\/11 (b) y (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 13254 + -9218. Let p = z - 2379. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} {"text":"Question: Let q be (-4 + (-11)\/(-2))\/((-3)\/6). Sort -4, q, -5, -2.\nAnswer: -5, -4, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 j and 1 y when two letters picked without replacement from ysyjyxyx.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 16957461?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 111*d - 212*d + 64*d - 528*d.\nAnswer: -565*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 5665 divided by 11?\nAnswer: 515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17 = y - 3*v, -3*y - 5*v = 16 + 7. Let q = -15 - y. Sort 4, 8, q in descending order.\nAnswer: 8, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -103130 (base 5) in base 15?\nAnswer: -10b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c = 551 + -418. Calculate the highest common divisor of c and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -81 - -78. Let z = 22\/7 + c. Let n = -3 + 2. Sort n, z, 2.\nAnswer: n, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = 15*g**3 - 346*g**2 - 20*g + 1071. Determine v(23).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Round -152.5630767 to one decimal place.\nAnswer: -152.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (-m + 0*m + 0*m)*(-1 + 2 + 7)*(2*m - 3*m + 0*m).\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -188727, -754822, -1698319, -3019224, -4717543, -6793282, -9246447?\n\"Answer: -l**3 - 188695*l**2 - 3*l - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 1539 divided by 3?\nAnswer: 513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y = 262.93 + -256. Round y to 0 dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -111962 divided by -89\nAnswer: 1258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (-8 - 21 + 13)*(1 - 2 + 0)*(-o - o + 0*o).\nAnswer: -32*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j be (8\/(-6))\/((-48)\/360). Suppose -4*h + 3*s = -177, -12*h - 5*s = -j*h - 95. Is h a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-6)\/(-2) - (1 - (0 + 3)). Suppose k*f + 8*l = 4*l + 174, -2*f - l + 69 = 0. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.00097 and 0.42.\nAnswer: -0.0004074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Are 3.1 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -6 - -11 - (-61 - -7)\/((-12)\/8).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*v + 2*i - 106 = 5*i, 0 = 4*v + 5*i - 70. Is v a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -40724395038.402 minus -0.3?\nAnswer: -40724395038.102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(sqrt(637)*4 - sqrt(637)) + ((sqrt(104)\/sqrt(2))**2 - (sqrt(637) + -2)) + -3.\nAnswer: 51 + 35*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Does 125 divide 7112017?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22 = -3*h - b, -7 + 4 = -3*b. Solve 5*d + 29 = -3*s, -14*s - 2*d + h = -19*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 173\/1518 and ((-5)\/(-90))\/((-78)\/14859)?\nAnswer: 3036","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -107 + 135 = 14*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor n**4 + 34*n**3 + 303*n**2 + 270*n.\nAnswer: n*(n + 1)*(n + 15)*(n + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*l = -5*n - 90, -3*n = -3*l - 25*l + 21*l + 257 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f - 1379 = -5*p, 0 = -18*f + 15*f + 5*p + 1078. Does 2 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.1 + -1902.563899\nAnswer: -1902.663899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = -3*f + 62. Let a(i) = -15*i + 309. Give 4*a(m) - 21*k(m).\nAnswer: 3*m - 66","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert c6962 (base 16) to base 5.\nAnswer: 202012120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f = -565 - -568. Let i(y) = 4*y**3 - 4*y**2 - y - 4. Let x(b) = -b**3 + b**2 - b + 1. Let a(w) = -i(w) - 3*x(w). Determine a(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -8714678, -17429426, -26144160, -34858874, -43573562, -52288218, -61002836?\nAnswer: -69717410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = 2*p**2. Let w(o) = -24292*o**2. Give w(v(s)).\nAnswer: -97168*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -u + 4*s - 0*s + 122, u + s - 117 = 0. List the prime factors of u.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-1)\/(-5*2)*2. Suppose -4 = -2*m, -2*k + 5*m - 5 = 3. Let f be ((-3)\/1 - k) + -1. What is the third smallest value in -2\/3, f, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-1 - 0) + (-90839)\/(-3486). Let m = -74\/83 + l. Let y = -1\/3 - -23\/24. Calculate the common denominator of m and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h = -3*h. Let l(o) = h + o + 1 + 0*o. Is l(6) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = -n**2 + n. Let c(x) = 5*x**3 - 6*x**2 + 4*x + 1. Let i be 0 + (10 - 33\/11) + (-1 - 2). Give i*k(z) - c(z).\nAnswer: -5*z**3 + 2*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -1\/11 (b) 11\/4 (c) -7.8 (d) 8 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from zaaooooozooaaooz. Give prob of sequence oaa.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert -3 (base 12) to base 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 4*g + 203*g**2 + 294*g**5 - 293*g**5 - 4*g - 86*g**6 wrt g.\nAnswer: -10320*g**3 + 60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p*p*p**(-2\/3)\/p)**(2\/9)*p**(-1\/4)*p*p\/p**(-4\/3))\/((p\/(p*p\/(p\/p**(-2))*p))\/(p**0*p)*(p**1*p)**11) assuming p is positive.\nAnswer: p**(-2035\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y = 3*y - 291. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 27264 and 9024.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u - 12 = 0, 3*u - 7 = 4*d + 2*u. Let t(w) = w - 1. Let n be t(1). Let m(p) = -3 - 3 + n*p + 5 - 2*p. What is m(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 62223173 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = v - 5. Let j(x) = 4*x - 3. Let a(u) = 11*u - 9. Let r(z) = 3*a(z) - 8*j(z). Give -3*k(w) + 5*r(w).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -264372093, -528744187, -793116281, -1057488375, -1321860469?\nAnswer: -1586232563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Does 45 divide (-9585)\/(-4 + 65\/26)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -1 and 2\/85 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 47 is divided by 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -0.3, -1\/2, 1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 98*y - 102*y + 4*r - 8 = 0, 4 = -4*y + 3*r for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2 - -1) + -439 + 432.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l + 5 = 3. Let i(s) = -s - 5*s**l + s + 7*s**2. Let g(a) = -2*a. Give g(i(b)).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 279 and 64971?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 337 minutes before 5:25 AM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h = -58.6 - -53. Let w = h - -2.9. Round w to zero dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -922*h - 285*h - 810*h - 7*h**2 + 2*h**2.\nAnswer: -5*h**2 - 2017*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -65*u**6 + 151*u**4 - 6*u**3 + 2*u**2 - 51526*u wrt u?\nAnswer: -7800*u**3 + 3624*u - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 5294.9 rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b = 6999 + -1239. What is b rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -p + 5 + 1. What is the third derivative of t**p - 3*t**2 - 5*t**6 - 3*t**6 - t**2 wrt t?\nAnswer: -840*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4785171?\nAnswer: 3, 1595057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -808224*m**3 + 1100*m**2 - 21*m + 5 wrt m.\nAnswer: -4849344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*q = -2*x + 724, -3*x + 381 + 201 = 4*q. Calculate the highest common divisor of 504 and q.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -k**2*x**4 + 2*k**2 - 19538*k*x**5 - k*x + 80*k - 13*x wrt x?\nAnswer: -12*k**2*x**2 - 390760*k*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p = -11 + 15. Suppose -z - 1 = -p. Solve -2*b = f, -5*f - 2 + 9 = z*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 78 = 3*i + 3*o - 63, 0 = -5*i - 2*o + 244. Is 25 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -9075, -8921, -8745, -8535, -8279?\n\"Answer: 2*m**3 - m**2 + 143*m - 9219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -11*y + 60 = 4*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 1566657133 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w = -2442 + 2444. Put -3\/8, w, -2\/17, -4.45, 1\/8 in decreasing order.\nAnswer: w, 1\/8, -2\/17, -3\/8, -4.45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 19010 or 451?\nAnswer: 451","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2592, 20669, 69740, 165315, 322904, 558017?\nAnswer: 886164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 17682 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -28 divided by -14\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) = 0*i**3 + 3*i**2 + 2*i - 3 + 1 - i**3. Calculate the remainder when 27 is divided by q(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-3)\/(-15))\/((-7)\/(-175)). Suppose 0*o - 10 = -w + 5*o, -5*w = -d*o - 50. Suppose w*t - 7*t = 15. What is the remainder when 23 is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*f = -879 - 951. Let p = 516 + f. List the prime factors of p.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum 621 and 3499.5.\nAnswer: 4120.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-81)\/(-6)*((-2880)\/(-72))\/(-20)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 5, -0.041, -0.5, 1.5?\nAnswer: -0.041","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -2231 - -3?\nAnswer: -2223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate 38\/14 + (1 - (4 - 0)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (6\/3)\/((-4)\/(-20)). Let c be 3\/30 - 71\/w. Let x = 29 + c. Is 22 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -15*y + 29*y - 42 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 29\/5 of a minute in seconds?\nAnswer: 348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = 2608*x - 303030. Calculate h(116).\nAnswer: -502","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = 7*c**2 + 9*c - 6. What is the least common multiple of 426 and t(-3)?\nAnswer: 2130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*m + 3*m + 245. List the prime factors of -7*7\/(m\/(-50)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 159 a factor of 11335601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1054 + 1059. Solve -g + 4 = 0, -2*c - 3*c - t*g = -35 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -14 + (4 - 0) + (198 - 183)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t = -125.5 - -126. Which is the fourth biggest value? (a) t (b) 65 (c) -1\/8 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8964 a multiple of 142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.7035696m to kilometers.\nAnswer: 0.0007035696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -3 divided by -63700\nAnswer: 3\/63700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*((sqrt(245) + 1*sqrt(245) - sqrt(245)) + 2) + (1 + -1 + sqrt(245) + sqrt(245) - (sqrt(245)*-2 + 3)))**2.\nAnswer: 84*sqrt(5) + 8821","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 0.056939618 (b) -0.3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = -3*z - 7 - 5 + 2. What is the remainder when t(-12) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (4\/15)\/(4\/10). Which is the biggest value? (a) -0.2 (b) 2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h - 5 = -5*i + 17, 10 = -i + 3*h. Solve -6*j = -i*j + 4*y - 32, 3*j - 12 = y for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 36146427 is divided by 9036605?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -3\/7 in -1, 1, -2.6, -314?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p = -137 - -141. Solve 5*c - 4*x - 35 = -0*x, -p*x = 20 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*d = -2*y - 14, -2118 + 2187 = -5*y - 2*d for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from wkbwbimnbii. Give prob of sequence mik.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 25*r - 855 + 755 = 0. Let 7\/2*c**r - c**3 + c - 7\/2*c**2 + 0 = 0. What is c?\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m = 5*m - 4. Suppose 2460 = 11*k + 1602. Calculate the lowest common multiple of k and m.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -231, -735, -2111, -4797, -9231, -15851, -25095, -37401?\nAnswer: -53207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-104)\/(-2) - (2 - 3). Suppose 2 + 2 = y, -q + z = 2*y. Is q a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 20971 - 20993. Let p(f) = -2*f - 97. Determine p(w).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from yxyttyyyyxyyx. What is prob of picking 1 y and 1 x?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} {"text":"Question: Does 1080 divide 20520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = 2*u + 15. Let b(n) = 45*n. What is a(b(i))?\nAnswer: 90*i + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -104 - 233?\nAnswer: -342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round -5879.093724 to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 4288, 16808, 37558, 66538, 103748?\n\"Answer: 4115*f**2 + 175*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 3515?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k be -7 - 17\/((-153)\/45). Let l be (3\/9)\/(8\/(-6)). What is the fourth smallest value in l, k, 0, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r = -3*m - 2*m - 236, -3*r = -m - 188. Let p be r\/12*9\/4. Let d be (-3)\/p + 26\/8. Solve 16 = 3*n - 5*z, -12 = -8*n + d*n + z for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -5337 (base 11) to base 4\nAnswer: -1232102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l = -17420\/31 + 562. Let o be (-126)\/(-114) + (-2 - -1) + 0. Which is the fourth biggest value? (a) -5 (b) -0.2 (c) l (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -2.46 + 1.47. Let c = v + -0.01. Let a = 65\/2 + -33. Sort a, 3, c in ascending order.\nAnswer: c, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) be the second derivative of 73*u**4\/12 + u**3 - 13*u**2\/2 + 93*u. What is the tens digit of x(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 128770 and 2370?\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {z: 2, t: 3, l: 2, e: 1, i: 2, g: 2}. What is prob of sequence ii?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*k = 3*r, 5*k + 6122*r + 5 = 6124*r for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Divide 48 by -4.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -22 in -20, 5, 338\/7?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1142 - 1141.9. What is the closest to 1\/3 in i, 2\/65, 2\/111?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -17242424 by -6.\nAnswer: 8621212\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 7040.2103 + 1686\nAnswer: 8726.2103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 2493, 5, -4, -78, -3, -1 in descending order.\nAnswer: 2493, 5, 2, -1, -3, -4, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express 2*k - 4*k + k**4 + 4*k**3 + 2*k**2 - 5*k**3 + 6 in the form d + s*k + t*k**4 + u*k**2 + f*k**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -25147, -25152, -25159, -25168, -25179?\n\"Answer: -y**2 - 2*y - 25144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v = 3 + 0. Let p(x) = x**2 - x - 3. Let k be p(3). Let s(o) = 2*o - 3*o + k*o - o**2 - 3. Give s(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 45417674?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*j + 5271 - 5261. Which is smaller: 71 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 12493 + -5414. List the prime factors of a.\nAnswer: 7079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1 (base 9) in base 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 33*b**3 + 0 - 1 - 9 + 10 - 96*b.\nAnswer: 33*b**3 - 96*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 20201258 to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 3047769457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) be the first derivative of 13*b**7\/42 + b**4\/2 + 3*b + 13. Let y(v) be the first derivative of d(v). What is the third derivative of y(p) wrt p?\nAnswer: 780*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 37352 and 23896.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 z, 2 o, and 1 p when four letters picked without replacement from {o: 2, z: 1, p: 7}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {i: 7, l: 3, o: 8, m: 2}. Give prob of sequence il.\nAnswer: 21\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1662 = 3*a - 0*a. Let q = -394 + a. Let o = q - 37. List the prime factors of o.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 31\/42 - 1\/14. Let m = 8 - 80. Let i be (-71)\/m + (-13)\/(-104). Is x bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 161 a factor of 109494007?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.3 + 0.25. Let h = 3.05 + w. Let l = h + -3. Which is the closest to l? (a) 5 (b) -0.4 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -k**3 - 782114*k**2 + 21117807*k.\nAnswer: -k*(k - 27)*(k + 782141)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b = -426309\/44 + 9690. Find the common denominator of 23\/396 and b.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h + 0*h = n - 112, 4*n = -2*h + 446. Suppose -j + m - 329 = -4*j, m = -j + n. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) be the third derivative of k**9\/151200 - k**8\/50400 - 2*k**5\/15 + 8*k**2. Let n(b) be the third derivative of s(b). Let n(l) = 0. Calculate l.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 13\/2 less than 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j - 165 - 32 = 3*o, 4*j = -4*o - 256. Let v = -6 - o. Does 21 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -37 - -39. Suppose -m*b - r + 162 = b, -2*r = 3*b - 159. Let u = b + -52. Solve -25 = 4*p - s, -u*s = -0*p + 4*p + 5 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -2159967 divided by 3\nAnswer: -719989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 9\/22918720 and 7\/340.\nAnswer: 22918720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = 4046*j**2 + 7*j - 9. Let u(p) = 2019*p**2 + 4*p - 5. What is -6*d(l) + 11*u(l)?\nAnswer: -2067*l**2 + 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 65913?\nAnswer: 3, 127, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = 9*l - 28. Give h(-10).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1023?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -6\/13, -4, -0.68.\nAnswer: -4, -3, -0.68, -6\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = 136*z - 1767. Let t(k) = -30*k + 442. What is -9*t(o) - 2*w(o)?\nAnswer: -2*o - 444","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00003244209961 to seven dps.\nAnswer: 0.0000324","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 35628096 a multiple of 1082?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert -112200202221 (base 3) to base 2.\nAnswer: -1000110100111100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l = 9\/346 + 82\/173. Let r(d) be the third derivative of l*d**3 + d**2 - 1\/60*d**5 + 0*d + 0 - 1\/6*d**4. Determine r(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2142*u - 3024*u - 11496*u + 6210*u.\nAnswer: -10452*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-256)\/(-72))\/8*2.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c = -106 + 110. Solve 3*x + 1 = 2*i, -x = -0*x + c*i + 5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3478.3 minus 31.73787134?\nAnswer: 3446.56212866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -43*r + 44*r + 65*r - 125*r + 61*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 20, -1, 5, 77 in descending order.\nAnswer: 77, 20, 5, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in p - 14*p + 2*p + 3*p + 6*p + 9003*p**2.\nAnswer: 9003*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 134*r = 20*r + 2335 - 397 for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) be the second derivative of -1\/12*m**4 + 23*m + 0*m**3 + m**2 + 1. Let g(b) = -b. Determine g(r(j)).\nAnswer: j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -24 = -62*t + 54*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let 115*f**3 - 4150*f**2 + 37620*f - 3240 = 0. What is f?\nAnswer: 2\/23, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*o + 151 = 116 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j = 26002 - 26002.00000524. What is j rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 6.1802 + 0.1278. Let i = 0.008 - g. Round i to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 12*x**2\/7 + 81991713*x\/7 - 20497929\/7.\nAnswer: 3*(x + 6832643)*(4*x - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (8*q + q**3 + 2*q**4 + q**2 - 8*q)*(0*q - 10*q + 0*q).\nAnswer: -20*q**5 - 10*q**4 - 10*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -384524, -384508, -384484, -384452, -384412?\nAnswer: -384364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) -2\/3 (b) 2.213 (c) 5 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 5 divided by -513\nAnswer: -5\/513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(70)\/sqrt(2)*-2 - sqrt(140)\/(sqrt(4) - 2*sqrt(4)))\/(-1*sqrt(5)*2 + -6*(sqrt(5) + sqrt(20))).\nAnswer: sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 315310683?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 22328902907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 21\/4 of a tonne in kilograms?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence uux when three letters picked without replacement from {i: 1, g: 1, u: 6, x: 2, e: 3}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x = 1 - 0. Let g be 0\/x + 3\/(-1). Let z be (-1)\/(1 + -2)*-4. Sort z, g, 2 in decreasing order.\nAnswer: 2, g, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -8990*u**3 + 1647*u**2 - 32119217*u.\nAnswer: -53940*u + 3294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-104)\/(-32)*1*4. Let z = 13 + r. What are the prime factors of z?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g**(-3\/7)\/(g\/(g*g**5*g)))**24\/((g**(-1)\/g)**(-6\/11)\/((g**0*g)\/g**2)) assuming g is positive.\nAnswer: g**(10135\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 165 + -0.63057107291\nAnswer: 164.36942892709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = j**3 - 4*j**2 - 3*j - 11. Let c(n) = 16*n**2 - 21*n**2 - 3*n - 4 - 7 + n**3. Let q(s) = -7*c(s) + 6*x(s). Is 22 a factor of q(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-2)\/(-9) + 2\/(-9). Suppose -p + 46 + 13 = f. List the prime factors of p.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1705369 a multiple of 621?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -89334.422 rounded to the nearest one hundred?\nAnswer: -89300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = 8164*s + 2. Let r be q(1). Suppose -r = -3*d + 4*h + 41630, 0 = 3*d - h - 49781. Is 2\/(-9) + d\/144 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0051427 to five dps.\nAnswer: -0.00514","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*b**2 + 4*b**2 - 4*b**2 + (7*b + 0*b - 6*b)*(-3 + 3 + 3*b + (-2 + 6 - 2)*(b - 1 + 1)).\nAnswer: 7*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 0.10863 times -5?\nAnswer: -0.54315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) be the third derivative of -t**4\/24 + 13*t**3\/6 - 2*t**2. Let h be y(9). What is the greatest common factor of h and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(22)\/sqrt(2) + sqrt(11) + -5 + sqrt(11) - (1*sqrt(99))\/sqrt(9))**2 + -2*-6*sqrt(22)\/sqrt(2) + -3.\nAnswer: -8*sqrt(11) + 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u = -3919 - -3916. Sort -13\/3, u, 3 in descending order.\nAnswer: 3, u, -13\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -62 + 311. Let h = u + -246. Which is the nearest to 0? (a) -1 (b) -2 (c) h (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + ((1 + sqrt(6)\/sqrt(3) - 2*sqrt(32))*4)**2 + (2 + sqrt(128) + sqrt(128)*2 + sqrt(2) + sqrt(16)\/sqrt(2))**2.\nAnswer: -116*sqrt(2) + 3047","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -13\/16729 and 29\/1488?\nAnswer: 24892752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 753\/(-18) - 1 - -43?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 496*m = 186*m - 9300 for m.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1921, 1927, 1933, 1939, 1945?\nAnswer: 1951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = -18196*r + 227. Is v(-17) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -8 (b) 2 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 52*v**3 - 45*v**3 + 2*v**2 - 2*v**2.\nAnswer: 7*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 132083?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor -c**2 - 382*c - 36481.\nAnswer: -(c + 191)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 815 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 382400 and 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate (3\/12)\/(((-1331)\/88)\/(-11)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert -88822 (base 9) to base 8.\nAnswer: -163154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u = 306 - 302. Let x be u*(580\/400 - (-1)\/(-5)). Let l be 2*(5\/2 - 0). What is the greatest common factor of x and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 24381 and 6192.\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 3 = 5*h + d + 6, 3*h = -2*d + 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 3220162840 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*k - 26 - 75 = 5*b + 28, -b - 11 - 82 = -2*k for k.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = -w**2 + 9*w + 3. Let v be x(9). Let q be (v\/4)\/(60\/(-32)). What is the third biggest value in 3\/5, -0.3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:23 AM and 8:59 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: (-27)\/12*(-30)\/45\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide -77101 by 48.\nAnswer: -77101\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.8 + 0.7. Let k = -0.278 - -4.278. Sort k, o, 3.9.\nAnswer: o, 3.9, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 1078\/264 + 2\/(-24). Suppose -3*n = -o + r*o - 9, -n + 13 = -4*o. Solve 2 = -b + n for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -u + 35*a = 37*a - 5, -4*a = -5*u - 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*j**2 + 2*j**2 - 14*j**2 - 7*j**2.\nAnswer: -22*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 + 7 = -4*g - 4*f, -g + 3*f + 2 = 0. Let c(p) = -5*p + 1. Let q be c(g). Solve o = q*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18445 = -94*n - 18445. What is w in 4\/3*w - 4\/3*w**2 + 2\/3*w**4 + 1\/3*w**5 + n - w**3 = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 0 - 120*v**3 - 2 - 2*v + 1 - 1 + 3 as t*v + a*v**3 + i + h*v**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*h**3\/9 + 278*h**2\/9 + 2330*h\/3 + 5450.\nAnswer: 2*(h + 15)**2*(h + 109)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is ((-31044)\/598 - -56) + 3\/((-6)\/8)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -43*h + 14*h + 87 = 0. Solve 2*i + h*i - 15 = -r, -5*i - 5 = 5*r for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 309, 312, 315, 318, 321, 324?\nAnswer: 327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 0 bigger than 20\/22513?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 221032863 to the nearest integer?\nAnswer: 605","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u**2\/7 + 47512*u\/7 - 141086884\/7 = 0. Calculate u.\nAnswer: 5939","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -180*i + 298968*i**3 + 180*i.\nAnswer: 298968*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 778 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 133 is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1\/69 - -6\/115. Let f(i) be the first derivative of 0*i + 0*i**3 - h*i**5 + 2 - 1\/12*i**4 + 0*i**2. Let f(m) = 0. What is m?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 242*h**4\/17 + 660*h**3\/17 + 626*h**2\/17 + 240*h\/17 + 32\/17 = 0.\nAnswer: -1, -4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = o**3 - 3*o**2 - 10*o + 5. Let g(y) = 2*y**3 - 5*y**2 - 20*y + 9. Let d(h) = 3*g(h) - 7*w(h). Determine d(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 3 + -1 + (-4)\/2. Let g = 2.6 + -3. Let m be 68\/20 + (-4)\/10. What is the closest to x in -6\/7, m, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 338564 minus -341613?\nAnswer: 680177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*g + 100 + 40. What is the remainder when 209 is divided by g?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -28\/890033 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*z + 2*h + 36, z + 0*z = 4*h - 28. Let g = z - -23. Let s = 107 - 105. Which is smaller: s or g?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -2 + 1033125?\nAnswer: 1033123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is (-294)\/(-468) - (-13)\/(-78)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round -251683 to the nearest 10000.\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -24718 = 676*t - 10114 + 9196 + 24196 for t.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -44*j - 2*p + 6 = -40*j, 5*j - 5*p = -15 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -1144431, -1143958, -1143169, -1142064, -1140643?\n\"Answer: 158*g**2 - g - 1144588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -0.02 - -5009550263.005?\nAnswer: 5009550262.985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 258605764?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = 61*c + 490. Let i be t(-8). Let w be (-38)\/(-6) + 2\/3. Let l(z) = -z**2 + 6*z + 3. Let b be l(w). Put i, b, 1 in increasing order.\nAnswer: b, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) be the third derivative of 0 + 0*f + 0*f**5 + 0*f**6 - 1\/8*f**4 + 62*f**2 - 53\/105*f**7 - 1\/6*f**3. Find the second derivative of d(p) wrt p.\nAnswer: -1272*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = -t**3 - 19*t**2 - 18*t + 4. Let q be i(-18). Solve q*j = 4*f + 12, -7*f = 3*j - 2*f - 25 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 9177 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in seven sixths of a day?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y = 3761937.99999992 + -3761933. Let f = y + -5. What is f rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l**(4\/5)\/l)\/l*l\/(l**(-3)*l))**25 assuming l is positive.\nAnswer: l**45","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v = -64.6 + 0.6. Let s = 62.3 + v. Which is the second biggest value? (a) -3\/7 (b) -0.2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/2 of a kilogram in grams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8*a**2 + 3*a**2 - a**2 - 20*a**2.\nAnswer: -10*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = -w**2 - 14*w + 10. Let v be k(-15). Put v, -2, 3 in decreasing order.\nAnswer: 3, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 119 and 1513.\nAnswer: 10591","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0008372331 rounded to 6 decimal places?\nAnswer: 0.000837","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort 4\/5, 4\/3, -0.3, 8, 274 in descending order.\nAnswer: 274, 8, 4\/3, 4\/5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 544*k + 99 with respect to k.\nAnswer: 544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 55\/651964 and 16\/635237.\nAnswer: 1064657212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1294080 and 1728?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 18, -54, -180, -384, -690?\nAnswer: -1122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 2392 and 65.\nAnswer: 11960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 472*j = -417*j - 14340 - 6996 for j.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 605 - 5443?\nAnswer: -4636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 328445, 656889, 985333, 1313777, 1642221?\n\"Answer: 328444*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -55*w + 1172*g = 1170*g + 230, -w + 21 = 5*g for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n = 4 - -6. Calculate the least common multiple of 7 and n.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20 = -3*p + 62. Let a = 23 - p. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 11120021 + 20012?\nAnswer: 11210110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate 22 + (124 - 65 - (-6 - 4)).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*(-3 + sqrt(1872)*3))**2.\nAnswer: -5400*sqrt(13) + 421425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 1596*m**4 - 698*m + 15818035?\nAnswer: 6384*m**3 - 698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m = -13.97 - -14. Let h = 0.02984 - m. What is h rounded to five decimal places?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 160 + -112. Is 20 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*f + 3595 = -3*t, 0 = -f - f - 4*t - 1452. Is (f\/(-6))\/((-24)\/(-36)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence dsds when four letters picked without replacement from kedeveksexesd.\nAnswer: 1\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1086545941.\nAnswer: 13, 1399, 59743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:55 AM and 7:08 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is -5 equal to -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1295 + 1301. Calculate the greatest common factor of s and 258.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 1.3 + -0.9. Suppose 3*t + 0*t = -15. Which is the nearest to -2? (a) -1\/4 (b) k (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a - 19 = -9. Sort a, 23, 5, 14 in increasing order.\nAnswer: a, 5, 14, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y - 68*r = -69*r - 1, -5*r - 53 = 3*y. Suppose 3*j = -7 - 8. Let o = -9 - j. Is o less than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((135\/6)\/(-45))\/((5\/(-20))\/1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 33 minutes before 11:43 PM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(52) - sqrt(13)) + -1)**2 + sqrt(130)\/sqrt(40) - 2*(sqrt(468) + 1).\nAnswer: -27*sqrt(13)\/2 + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose w + 4*w - 1030 = -195. Calculate the remainder when w is divided by 160.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1925?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -112000020201 (base 3) to base 16\nAnswer: -4351f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -45 = -3*g - 4*r + r, 3*r - 6 = 0. Let d(p) = p**3 - 14*p**2 + 12*p + 17. Let n be d(13). Solve 5*s - g = -v, -s + v = n*s - 7 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -3ac76 + -33?\nAnswer: -3aca9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 70339335 a multiple of 327?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 1264, 1251, 1248, 1261, 1296, 1359, 1456?\n\"Answer: v**3 - v**2 - 17*v + 1281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -39760 divided by -112?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 111679 is divided by 492.\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (232\/32)\/(0 + (-1)\/(-4)).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 3944, 15142, 33806, 59936?\nAnswer: 93532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 3\/8 (b) 1.9 (c) 163 (d) -0.3 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = 14*b**2 + 4*b - 5. Let a be -5*5\/25*-1. Calculate the remainder when t(a) is divided by 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 143\/57 greater than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 2791 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 21882361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 33*c = 37*c + 16 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand u**5 - 13*u**5 - 5*u**5 + (-2*u**4 - 2*u**4 + 2*u**4)*(-2*u + 0*u + u) + 2*u**4 + u**5 - 2*u**4.\nAnswer: -14*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (6*a + 4*a + 25*a)*(-a**3 - 3*a**3 + 6*a**3) to g*a**4 + d*a + f + v*a**2 + z*a**3 and give g.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = r**3 - r**2 + r + 1. Let h(u) = 6*u**3 - 3*u**2 + 4*u + 5. Let d(f) = h(f) - 5*y(f). What is d(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 231 a factor of 1918663?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*j + j - 6. Suppose 3*q + 3*f + j*f = 0, 0 = -f. Suppose c = -q*c. Put c, 5, -5 in ascending order.\nAnswer: -5, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6 + 3 + 4)*(-i**2 + 3 - 3)*(-5 - 7 + 26)*(4 - 1 - 1)*(0 - 2 - 1).\nAnswer: 84*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p = 234.7 - 101.4. Let u = -147 + p. Let r = u - -14.2. Are -4\/3 and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 19\/9 - (-71)\/(-639)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4 + 0 - (0 + 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 42 = 18*y - 11*y. What is the remainder when 136 is divided by y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 34911910897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 41*v + 0*v = 40590. What is the least common multiple of v and 330?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 1 + -fc?\nAnswer: -fb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x = z + z - 3, 5*x + 37 = 3*z. What is the remainder when 38 is divided by -13*(z + 1\/(-2)*10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -158*l - 83*l = 529 + 194 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is (-45)\/(-18)*(-5)\/(50\/16)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2*c*f**3*o**3 + 6377*c*f**2*o**3 + 4*c*f + c*o**2 + f**3*o + f**3 - 142*o wrt o?\nAnswer: -12*c*f**3 + 38262*c*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n = 2*s + 7*n - 13, 0 = 5*s + 3*n - 23. Solve -s*d = -u, -2*u - u - 15 = 3*d for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (r**2 - 8*r**2 - 2*r**2)*(-2*r**2 + r**2 + 0*r**2)*(-2 - 1 + 5).\nAnswer: 18*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 35*g**4 - 410*g**3 + 265*g**2 + 110*g = 0 for g.\nAnswer: -2\/7, 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence tf when two letters picked without replacement from {y: 4, m: 3, f: 9, t: 4}?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in 2\/15, 5, 4, 38144?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Determine h, given that -2*h**4\/11 - 6228*h**3\/11 + 21467574*h**2\/11 + 40974124104*h\/11 - 86566955688648\/11 = 0.\nAnswer: -3459, 1902","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h - 638 = -2*f, -8*h + 5*f + 866 = -4*h. Suppose -3*q = h - 730. Is q a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2 + -37 + 23 + 3 + -1.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:51 PM and 1:46 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -72 = -7*f - 44. Let s(a) = a**3 - 3*a**2 + 6*a - 6. Give s(f).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1559889, -3119760, -4679631, -6239502, -7799373?\nAnswer: -9359244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (6*s**3 + 16*s - 16*s)*(2*s - 4 + 13 - 4 + s**2).\nAnswer: 6*s**5 + 12*s**4 + 30*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*y**3 + 0*y**3 - 4 + y**3)*(-2*y + 0*y - 10*y).\nAnswer: 24*y**4 + 48*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v**4 + 5*v**3 + 140*v**2 - 380*v + 240 = 0. Calculate v.\nAnswer: -6, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 176 = 4*h - 3*a, 169 + 7 = 4*h + 2*a. Calculate the remainder when 393 is divided by h.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1419909, 2840219, 4260529, 5680839?\nAnswer: 7101149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a = -29 - -66. Calculate the greatest common divisor of a and 111.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = 18*u - 7. Let v(z) = -73*z + 27. Let m(h) = -9*p(h) - 2*v(h). What is the hundreds digit of m(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -15956*f**3*m**3*q**2 - f**2*m**3*q - 21*f**2*m**3 + 8*f*m*q**2 - 3*m**2*q**2 wrt f?\nAnswer: -95736*m**3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) be the third derivative of -k**4\/24 + 4*k**3\/3 + 7*k**2. Let s(u) = 5*u + 1. What is the least common multiple of f(0) and s(1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.5 times -0.25\nAnswer: 0.125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h = -10 + 5. Let i be (-1)\/3 + 62\/6. Let b be 1\/(-5) - (-22)\/i. Put h, -4, b in descending order.\nAnswer: b, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 5109 and 10309?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence yry when three letters picked without replacement from {r: 16, y: 4}.\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let 4*w**3\/7 + 8760*w**2\/7 + 1616868*w\/7 + 78094368\/7 = 0. What is w?\nAnswer: -1992, -99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 360 and 5904.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**(4\/5)\/(f**(-3)\/f))\/((f*f**(-5))\/(f**(-1\/10)*f*f)) assuming f is positive.\nAnswer: f**(107\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j = 7.89 - -0.11. Let f = j + -13. Which is the second smallest value? (a) f (b) 0.3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -5 + (1 - -3) + -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = -221*j + 51. Let i(t) = 22*t - 5. Let s(d) = -51*i(d) - 5*u(d). Calculate s(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -v + 16*n = 160, 1776*v + 5*n = 1780*v + 50 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 387074134?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.17 - -14.1189.\nAnswer: 13.9489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a = -93 + 107. Does 12 divide ((-180)\/a - 0)*(-48 + 20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = 2*g**2. Let f(l) = 28*l**2 + 2. Let s(m) = -113*m**2 - 9. Let u be (4\/(-4))\/((-1)\/9). Let y(c) = u*f(c) + 2*s(c). Calculate y(w(j)).\nAnswer: 104*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 15\/(-3)*16\/16*(-82)\/(-246)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -568*r**3 + 1125*r**3 - 564*r**3.\nAnswer: -7*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*d = 354, 27*d = 5*f - 2*f + 20*d - 53 - 779 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {l: 6, o: 3, v: 4}. Give prob of picking 2 l and 1 o.\nAnswer: 45\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Does 6 divide 4911553?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((a\/(a\/(a\/a**(1\/9)))*a*a)\/a*a**14)**(-1\/44))**(-31) assuming a is positive.\nAnswer: a**(403\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 54066154 and 3180362?\nAnswer: 54066154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -2\/19, 3, 0?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 148*t + 74*t - 1920 = -98*t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 239 is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Determine h, given that -6*h**4\/7 - 1020*h**3\/7 - 8514*h**2 - 1397280*h\/7 - 1492728 = 0.\nAnswer: -74, -41, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ccjf when four letters picked without replacement from {u: 3, d: 3, f: 3, c: 2, j: 2}?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -291, 5, 66, 2 in descending order.\nAnswer: 66, 5, 4, 2, -291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b - 5*m = 7941, b - 11*m = -12*m + 1983. Let s = b + -1184. Does 19 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -1\/2, 21, 1002727.\nAnswer: -1\/2, 2, 21, 1002727","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-110)\/(-70) + 4\/(-7). Let u(y) be the second derivative of y**3\/6 - y. Let w be u(q). Solve 0 = -d - w - 2 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -4, -281, 2\/5.\nAnswer: -281, -4, -2, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b = 356 - 355.999999338. What is b rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 3112 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 57375 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i = -41 + 43. Let v = 15.1 + -10.1. Which is the second biggest value? (a) v (b) i (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does -2\/117 = -1.7094?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*r - 13 - 12 = 0. Suppose r*k - 3*m - 27 = 0, -m = 3*k - 8 + 3. Solve 3 = -d + k*d - 3*z, z - 1 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify l**1*(l**(-2)\/l)\/l assuming l is positive.\nAnswer: l**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 26287 > 26286?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express (12 + 45 - 16)*(-831 - 2*g**3 + 5*g**2 + 830 - 10*g - 5*g**3) in the form f + x*g**3 + m*g + l*g**2 and give x.\nAnswer: -287","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = 7*o. Let b(k) = -8*k**2 + 5*k + 5. Let z(a) = -4*a**2 + 2*a + 2. Let d(u) = -4*u - 5. Let y be d(0). Let p(i) = y*z(i) + 2*b(i). Calculate j(p(r)).\nAnswer: 28*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -81 - 8c15c?\nAnswer: -8c210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from msmmswwwmmww. What is prob of sequence swwm?\nAnswer: 5\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) be the third derivative of h**6\/1620 - h**5\/540 - h**3\/3 + h**2. Let z(y) be the first derivative of o(y). What is v in z(v) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = 5*s**2. Let o be (-275)\/33 + (-2)\/3. Let i(q) = -11*q**2 + 9*q - 9. Let w(t) = 5*t**2 - 4*t + 4. Let x(d) = o*w(d) - 4*i(d). Calculate x(p(k)).\nAnswer: -25*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 20 less than -5803.6741409?\nAnswer: -5823.6741409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: (147\/28 - 4)\/((-1)\/(-4))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.19? (a) -1\/2 (b) -21 (c) 8\/7 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (16\/(-20))\/(4\/30)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -1327.573946 less than 9.0525?\nAnswer: 1336.626446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ddihihiiihhi. What is prob of sequence hi?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 2575182 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 6 in -2\/5, -0.2, 1246, 1\/3, -5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 12713 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:29 PM and 7:07 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find b such that b**2 + 2*b + 1 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = d**3 + 20*d**2 - 46*d - 50. Calculate q(-22).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -123, -218, -315, -414, -515, -618, -723?\n\"Answer: -u**2 - 92*u - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is (21\/(-9))\/1*96\/(-32)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1112.2114 - 0.2114. Which is smaller: -2\/7 or t?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -329058 by 2.\nAnswer: -164529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 71*y**3 + 34*y**2.\nAnswer: 426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 15266 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = 12*b**2 - 26*b + 89. Determine o(3).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*k + 54 + 38 = -5*u + 7, -2*u = -0*u + 10*k + 58 for u.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = 6*d**2 - 14*d - 9. Let m(j) = -9*j**2 + 20*j + 13. What is -7*i(z) - 5*m(z)?\nAnswer: 3*z**2 - 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Work out 148 - 969.\nAnswer: -821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -72 divided by -6?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c = 589 - 589.17. Let x = -5.09 - -2.09. Sort x, c, -0.5 in decreasing order.\nAnswer: c, -0.5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*b = -30*q + 29*q - 17, -q + 5*b + 7 = 0 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from faana. Give prob of sequence fnaa.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d - 6 = -l - 3*d, 0 = -l - 2*d + 10. Let r = -8 + 12. Suppose 4*f + 2*t = 3*t + 3, 12 = f - r*t. Put 2, l, f in ascending order.\nAnswer: f, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4*t**3 + 4*t**3 - 2*t**4 + (2*t + 3*t - 3*t)*(t**3 + 4*t**3 + 19*t**3) to x + h*t**3 + v*t**2 + p*t**4 + r*t and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 0.26013881 minus 0.3?\nAnswer: -0.03986119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*t - 48 = 82. Solve 5*d = -3*i + 4*d + t, -2*d = 10 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 2, j: 3, v: 5}. Give prob of picking 1 u and 1 v.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 947531.\nAnswer: 13, 23, 3169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -140086*a**3*t*v**2 + 2*a**2*t - 4*a**2 - a*v**2 + 2501*a*v wrt a.\nAnswer: -840516*t*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -65 = -1194*i + 1195*i + 2*q + 12, -134 = -18*i + 2*q for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -7631, 7603, 22837, 38071, 53305, 68539?\nAnswer: 83773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 12*u - 1155 = -93*u for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0.9 + -1.3. Let q = 0.4001 + j. What is q rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 + 6 + -6 + -6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -14861 divided by 4.\nAnswer: -14861\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Put 3, 2, -168, -49 in decreasing order.\nAnswer: 3, 2, -49, -168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Factor 507*m + 5521 - 5521 - 3*m**2.\nAnswer: -3*m*(m - 169)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 45083593 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -i + 9*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s be (54\/(-15))\/((-24)\/160). Suppose 18*q + s = 10*q. Let m(f) = 2*f**3 - 7*f**2. Let j(l) = l**3 - 3*l**2. Determine q*m(o) + 7*j(o).\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*f + 3*o + 17, f - 4*f = 2*o + 7. Let z be (f\/3)\/(5\/30). Suppose 0 = -0*j - j - 3*g + 698, -z*j + 3*g = -1405. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(704) + (sqrt(704) + -2)*1)**2 + (3 + sqrt(1331)*4)**2.\nAnswer: 200*sqrt(11) + 24125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*m**4 - 35750*m**3 + 264852000*m**2 - 492367680000*m + 289002470400000.\nAnswer: -5*(m - 1680)**3*(m + 12190)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = 18*p. Let m(q) = 4*q + 10. Let o(g) = 5*g + 12. Let b(a) = 6*m(a) - 5*o(a). Give 15*b(d) + c(d).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -185 = -3*c + 157. What are the prime factors of c?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a - 3*f - 14 = -5, 0 = -3*f - 9. Suppose a = 5*i - 27 - 73. Let l = 848 + -848. Solve l = -6*c + c + i for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -7625 = 518*b + 17239 for b.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*m + 97 = 188 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a = 27956 + -27957.9. What is the closest to -0.2 in a, 0.5, 4\/23?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*v + 4*x = 69, 360*x + 11 + 3 = -5*v + 359*x for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t = -3603 + 3951. What are the prime factors of t?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = -3*y**2 - 4*y - 511. Let k(d) = d**2 + d + 171. Determine -8*k(l) - 3*p(l).\nAnswer: l**2 + 4*l + 165","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = 2 + 3*s**2 - 5*s + 2*s + 1. Determine y(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 = -2*t + 2*p, 2 = -2*t - 6*p + 4*p. Let f = t + 6. Let v = 0.3 + -0.3. Sort v, f, -0.1 in ascending order.\nAnswer: -0.1, v, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 124, 193, 266, 343?\nAnswer: 424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m be 15 + -26 - (-570)\/50. Factor -4\/5*p**3 + 4\/5*p + 0 - m*p**2 + 2\/5*p**4.\nAnswer: 2*p*(p - 2)*(p - 1)*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = g**2 - 18*g. Let m(x) = 108*x. Let t(q) = 13*q. Let f(y) = -4*m(y) + 33*t(y). Determine l(f(b)).\nAnswer: 9*b**2 + 54*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = -a**2 + 18*a - 21. List the prime factors of f(14).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 709, 703, 693, 679, 661, 639?\n\"Answer: -2*q**2 + 711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 2*3\/1*(-4)\/((-52)\/13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 13*y - 2*y = -5*y - 250*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*a + 4 = a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/(2\/9*15\/(-20))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -4a0d + 404?\nAnswer: -4609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = -4*z**2 - 2*z + 2. Let t(y) = -12*y**2 - 5*y + 1. Let j(f) = -f**2 - 1. Let u(i) = 4*j(i) - t(i). Let w(l) = 7*g(l) + 3*u(l). Calculate w(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*b + 1200 = -2*f, 17*f - 20*f + 2*b = 1813. Let a = 638 + f. What is the remainder when 149 is divided by a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 41 minutes before 1:47 PM?\nAnswer: 1:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round -103.6605559 to 3 dps.\nAnswer: -103.661","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from iiiigiiiijijjjiiz. Give prob of sequence jg.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (10\/(-84))\/(10\/8)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) be the third derivative of h**6\/24 - 3*h**5\/4 - 25*h**4\/12 - 78*h**2. Solve k(g) = 0 for g.\nAnswer: -1, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 129\/16016 and 73\/1232?\nAnswer: 16016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(10)\/(sqrt(5)*-2)*-3.\nAnswer: 3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n = 8 + 17. Suppose i + 1 + 4 = -2*b, 5*i + n = -3*b. Suppose 0 = 3*g + f - 48, -g + 16 = 3*f - b*f. Does 6 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 49, 3027, 0, -1, -2 in decreasing order.\nAnswer: 3027, 49, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -0.02 less than -0.2650278?\nAnswer: -0.2450278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 624*r - 762*r + 2208 for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = -2*i**2 + 21*i + 12. What is a(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose u - 5 = -0*u. Suppose 3 = -2*r + 11. Solve 0*y**u + 0*y**r + 2*y**4 - 2*y**5 = 0 for y.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 13 + 1. Let l = r + -19. List the prime factors of ((-27)\/l)\/((-2)\/(-10)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 76*b = 28*b - 48. Let f = 28 + -23. Suppose -f = a + 3*i - 0*i, 2*i = -4. Sort b, 0, 4, a in increasing order.\nAnswer: b, 0, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2894640041 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round -802671190 to the nearest one million.\nAnswer: -803000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 120, 210, 298, 384, 468, 550, 630?\n\"Answer: -q**2 + 93*q + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) be the first derivative of -n**3\/3 - 3*n**2\/2 - 3*n - 14. Let q(s) = -2*s**2 - 2*s - 2. Give -3*q(m) + 2*y(m).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -323 + -21?\nAnswer: -344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u + 3 = -5. Let q(k) = -k**2 + 14*k + 3*k**3 - 4*k**3 - 12*k. Let w be q(-2). Solve w*h + u*h = -16 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -552 - -695. Calculate the greatest common factor of 209 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -7, -0.5, -6, -4.\nAnswer: -7, -6, -4, -0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Factor -577*p + 96 - 92*p**2 - 4*p**4 - 100*p**3 + 273*p + 404*p.\nAnswer: -4*(p - 1)*(p + 1)**2*(p + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -5 divided by -176266\nAnswer: 5\/176266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 689 minutes after 12:41 AM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g = 142 - 81. Let x = 96 - g. Find the common denominator of x and -137\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6*l + 7*l + 11*l + 13*l - 34*l.\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 5, m: 3, g: 1, r: 4, s: 3, f: 1}. What is prob of sequence rf?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is -595188 smaller than -595183?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 33*t + 405 = -48*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 34922b (base 12) to base 13\nAnswer: 2379b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*v = 18*v - 381 + 71. Calculate the least common multiple of v and 192.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -2892 divided by 2\nAnswer: -1446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 989 is divided by 262?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = 14*h**2 - 3*h - 40*h**2 + 11*h**2 + 14*h**2 + h. Let c(f) = f - 1. Let s(v) = -2*v**2 + 2*v - 2. Let r(g) = -2*c(g) + s(g). Calculate a(r(j)).\nAnswer: -4*j**4 + 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (744\/1638)\/(1\/2) - 12\/14?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose d - 3 = -x - 2, 0 = -x + 2*d - 2. Suppose -7*p + x*p = -35. Solve -4*w + p*c + 10 = 4*c, -2 = -5*w - 4*c for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = -j**2 + 5*j - 3. Suppose -x - 4 = -3*m - 6*x, 2*m + 2*x = 4. Suppose -s + 0*o = 5*o + 2, -m*s + 2*o = -11. What is the units digit of i(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) be the third derivative of n**5\/30 + 11*n**4\/24 + n**3\/2 + 10*n**2. Let s be j(-5). Is 260 - (s - (-2 - -3)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = -2*g**2. Let z(k) = -1880178*k. Calculate q(z(s)).\nAnswer: -7070138623368*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} {"text":"Question: Let n = -0.7 - -1.7. Let u = 1.44 + -1.4. What is the closest to n in 4, u, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (72 - 181 - 79 - 186)*(41*s - 41*s - 12*s**4) + 2*s - s**4 - 2*s.\nAnswer: 4487*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = -c**3 + 13*c**2 + c - 29. Let w(l) = -l**3 + 10*l**2 + 2*l - 33. Determine 2*o(m) - 3*w(m).\nAnswer: m**3 - 4*m**2 - 4*m + 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0047363147 to six decimal places.\nAnswer: 0.004736","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 13, -5, 1, -0.01, -82, 57?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence vqh when three letters picked without replacement from eveevqhheeqqeeeh.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -4 * 0.0227\nAnswer: -0.0908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 117*z - 120*z + 144 = 0. Suppose 0 = -3*w + k + z, -2*w = -0*k - k - 32. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 1671 - 1691.9. Let i = -8 + -13. Let v = i - s. Which is the closest to -1? (a) -0.09 (b) 0.05 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*x + 2*a + 56, -a + 40 + 16 = -4*x. Let o = -11 - x. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -3905 + 3917. Solve b + o = -2*o + 10, 3*o = i for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 d and 1 r when two letters picked without replacement from {d: 3, l: 2, e: 5, r: 3}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = -s**2 + s + 7. Let j(c) = -4*c**2 + 8*c + 420. What is -5*g(v) + j(v)?\nAnswer: v**2 + 3*v + 385","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*q - 3 = -l + 8, -l + 2*q - 7 = 0. Suppose 3*w = 0, n = 5*n + 4*w - 41 + 57. Sort -3\/2, n, l in ascending order.\nAnswer: n, -3\/2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 244145 (base 6) to base 4.\nAnswer: 11102201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v be 8\/20 - (-48)\/5. Suppose -2 = 2*a - v. Suppose -a*h + 18 = 2. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 51 divided by -85\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -70*l + 80*l - 5*r + 40 = 0, 3*l - 8 = -l - 4*r for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: (-310)\/(-465)*((-916)\/(-8) - 2)\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 3366283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p = -40 + 35. Put p, -9, 3, -1 in increasing order.\nAnswer: -9, p, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -5.6 - -5.8. What is the closest to 0 in 5, s, -0.5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -s**2\/2 + 177915*s - 31653747225\/2.\nAnswer: -(s - 177915)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) = 4*l**3 - 2*l + 5. Let h(j) be the first derivative of -3*j**4\/4 + j**2 - 4*j + 14. Let q(n) = -3*h(n) - 2*m(n). Calculate q(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = -v**3 + 2*v**2 - v - 1. Let d(x) = -25 - 2*x - 26 + 9. Let m be d(-22). Suppose -p = -5*r + m + 1, 2 = 2*r. Determine s(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -11 in -7, -1\/3, 5?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -52289, -104579, -156869, -209159, -261449, -313739?\nAnswer: -366029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = -w**2 - 20*w + 37. Let h be m(-22). Let d(b) = b**3 + 4*b**2 - 7*b - 2. Let g be d(-5). Let z = h + g. What is the least common multiple of 8 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 42, 0.4, 2\/3 in descending order.\nAnswer: 42, 2\/3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 579797500.\nAnswer: 2, 5, 231919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = 16*x + 7. Let k be f(-5). Let d = 123 + k. Let r = -18 + d. Is r a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-6)\/(-33) - (-86)\/11. Suppose -26*o + 28*o = 8. Solve -o*s = -f + 4, 2*f + 0*f - d = -4*s for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 5\/2, 1, 0, -0.08?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 0.5, -1.67, 4, 0.2 in decreasing order.\nAnswer: 4, 0.5, 0.2, -1, -1.67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -1cd2557 - -5?\nAnswer: -1cd2552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*k**2 - k**2 + 3*k**2 + (-5*k**2 - k**2 + k**2)*(1 - 4 + 6).\nAnswer: -16*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -i + 6 = -3. Let k(u) = -u**3 + 5*u**2 + 2*u - 6. Let o be k(5). Suppose o*f - 37 = -f - 3*n, f - i = -n. Is f even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = -k**2 + 17*k - 44. Determine o(7).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 110066 or 110006?\nAnswer: 110066","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.01 and -313.\nAnswer: 3.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -7623 - -35?\nAnswer: -75cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence llc when three letters picked without replacement from cllcllllclllllllllll.\nAnswer: 34\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s = 145 + -144.7. Which is the closest to s? (a) 8 (b) -2\/9 (c) 0.3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.8238 * 511\nAnswer: 420.9618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2 in 3\/491, 3\/5, 1079?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) be the first derivative of -3*p**4\/8 + 495*p**3 - 184509*p**2 + 732108*p + 5174. Let k(m) = 0. Calculate m.\nAnswer: 2, 494","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = -429*t**2. Let h(l) = -10138*l. Calculate h(w(m)).\nAnswer: 4349202*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-1 + 0\/(-1))*-2. Let m be (-34)\/(-16) + -1*l. Which is bigger: m or -1\/4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -22154*m*r**3 - 118*r**3 - 61*r**2 wrt m.\nAnswer: -22154*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 745726909 to the nearest integer?\nAnswer: 907","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -45 - 43 - 5*l - 51 + 139.\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*x**5 + 336*x**4 + 6440*x**3 - 22800*x**2 - 6444*x + 22464 = 0. What is x?\nAnswer: -48, -39, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = -p**2 - 3423*p - 98397. What is j(-29)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Does 808 divide 839512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = 2*j**3 + 41*j**2 + 46*j - 8. Is z(-16) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -89\/2300 and 3\/21620.\nAnswer: 108100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 3349219 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18*i = -7123 + 128731. List the prime factors of i.\nAnswer: 2, 3, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-4 - -9) + -2*1. Let f be (-42)\/(-4) + n\/6. List the prime factors of 1*-4*f\/(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -100.171 to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2247848 to the nearest integer?\nAnswer: 1499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v - 103 = -j, -13*v - 5*j + 155 = -18*v. Let q be 4746\/(v\/(-6)) + 1. What is q rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-3 - (-12)\/5)*(-10355)\/(-6060). Let n = t + 654\/101. What is the common denominator of 19\/48 and n?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3095.02104 rounded to one dp?\nAnswer: -3095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = 49*l**5 - 16*l**3 - 3*l**2 + 373*l - 5. Let a(m) = -m**2 - m - 1. Let r(u) = -3*a(u) + z(u). What is the second derivative of r(p) wrt p?\nAnswer: 980*p**3 - 96*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -23*n = -25*n + 2746. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 7 - 0 - ((21 - 15) + -8 + 9)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2899 - 3146 + 282*n + 6047.\nAnswer: 282*n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -2746683 take away 2108?\nAnswer: -2748791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -29\/9072 and 37\/4.\nAnswer: 9072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = -6*v - 4. Let b be m(-4). Let u(a) = -15*a - 54. Let h be u(b). Let p = 668 + h. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*f + f - f)*(-2*f**4 + 3*f**4 + 0*f**4 + 2 + 2*f**4 - 2 + (-5 + 5 - 2*f)*(3*f**3 + 0*f**3 - f**3)).\nAnswer: -2*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = 3*o**2. Let q(p) = 2*p**2 + 19*p - 3. Let a(z) = -9*z**2 - 78*z + 13. Let i(c) = -6*a(c) - 26*q(c). Calculate d(i(y)).\nAnswer: 12*y**4 - 312*y**3 + 2028*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -53 - (-54 + 29) - (-3 + 8 + -9)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 2\/((-12)\/2)*9\/(-15)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = 588*b**2 - 27*b - 27. Let g be -1 + (2 + 2 - 7)\/1. Let j(h) = 84*h**2 - 4*h - 4. Let w(y) = g*n(y) + 27*j(y). Let l(d) = -d. Calculate l(w(o)).\nAnswer: 84*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is -26467068 < -26467088?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express -26*m + 9*m + 43*m + 26*m as z*m + c and give z.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.4*0.1370336.\nAnswer: -0.05481344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert 20.53731 kilograms to nanograms.\nAnswer: 20537310000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 118314247 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort 7, -3, 2, -6 in ascending order.\nAnswer: -6, -3, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort -10, 62897, 3 in increasing order.\nAnswer: -10, 3, 62897","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o be 1\/(-4) + (-194)\/(-8). Suppose -2*r + 58 = o. List the prime factors of r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 18615029?\nAnswer: 18615029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6785 - 1315 = -9*k. Let t = 906 - k. Solve -t*b + 26 = 2 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 546100280?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 19 divide 99364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 244 divided by 16\nAnswer: 61\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 8226 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 l and 3 n when four letters picked without replacement from {c: 8, n: 5, l: 7}.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 151 - -344?\nAnswer: 495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-30)\/(-9) + (6 - 10))*1158. Let z = 2549 + d. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*((sqrt(637)*2*-6 - sqrt(637)) + ((0 + sqrt(637))**2 - sqrt(637))*3) - (sqrt(637) + (1 + sqrt(637) + 4 + sqrt(637))**2 + -2 + (3*sqrt(637))**2).\nAnswer: -14037 + 189*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -32, -84, -178, -320, -516, -772, -1094, -1488?\nAnswer: -1960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Round -63785250 to the nearest ten thousand.\nAnswer: -63790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify s**(2\/19)\/((s*s\/(s*s**(-2)))\/s)*s**(2\/3)\/(s*s**(4\/3)\/s)*(s**(2\/9)*s**(-1))\/(s\/s**(1\/4))**(-27) assuming s is positive.\nAnswer: s**(11567\/684)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 56*q + 26*q = -14*q + 1381920. Is 53 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -27027 greater than -27077?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 260 minutes after 9:21 PM?\nAnswer: 1:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*f - u + 31, f - 11 = -3*u + 2. What is the highest common divisor of f and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose m = 3*m - 266. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -0.1777242139 and 5107?\nAnswer: 5107.1777242139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let o = -162789618.3 - -162789601.29999706. Let j = 17.0149 + -0.0149. Let f = j + o. Round f to 7 dps.\nAnswer: -0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from kubybphk. What is prob of sequence kbh?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 70 and 20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = -2*c + 8. Let p(x) = -2*x + 8. Calculate -3*p(b) + 2*y(b).\nAnswer: 2*b - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -39 - 33 + 72 + 35*c**3 - 26*c**3.\nAnswer: 9*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j - 10 = 2. Which is the smallest value? (a) 4 (b) 0.25 (c) 0.4 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 512 - 477. Suppose p*v + 1472 = 39*v. Does 46 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z*z*z**(-2))**(-35))**42 assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = p + 7. Let v(j) = -j**2 + 8*j + 10. Let o be v(8). Let k = -17 + o. Let u be l(k). Solve u = -2*y - 0*y + 4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-4)\/16 + 2\/8. Suppose -5 = h - 5*i + 15, h + 3*i - 20 = 0. Suppose y*t = h*t - 15. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 644921?\nAnswer: 151, 4271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Add 47000 and -4.\nAnswer: 46996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = d - 5*d. Let t(j) = 3*j**2 + d*j**2 + 37*j - 45*j. Let r be t(6). What is the greatest common factor of r and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 4161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (870*z - 1622*z + 966*z - 3)*(5 - 3 - 3).\nAnswer: -214*z + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 178140.9cm in micrometers?\nAnswer: 1781409000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -139.9006716 rounded to one dp?\nAnswer: -139.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 3\/32 of a milligram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 5104146, 10208293, 15312440?\nAnswer: 20416587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 61451?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -57726939 times 1?\nAnswer: -57726939","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 2, -1, 88, 0.5, 0.02?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = 5*j. Let l(o) be the second derivative of -89*o**3\/3 - 1447*o. Determine l(u(c)).\nAnswer: -890*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) = -4*u**3 - 193*u**2 - 51*u - 144. Let s be m(-48). Let x(g) = -g**3 - g**2 - 11. Determine x(s).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -4114 by -618.\nAnswer: 2057\/309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*f - 13 + 38 = 0. Suppose -5*z + 4*p = -2*z + 8, f*p = 25. Solve -4*s + 4 + 2 = 2*x, 0 = x - z*s - 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -33 by -5.\nAnswer: 33\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express (-h**2 - 2*h**2 + 5*h**2)*(2*h - 5*h + 10*h) in the form p*h**2 + u + z*h**3 + x*h and give z.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:53 PM and 5:06 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**(-5)\/(b*b**(-10)))\/((b*b**(-1\/20)*b*b)\/(b\/(b*b\/b**16))) assuming b is positive.\nAnswer: b**(321\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = d**3 - 7*d**2 - d + 10. Let p be s(7). Let r(o) = -12*o + 4*o**2 + 10 + 4 - p*o**2. Does 2 divide r(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 1674825980?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s be 190\/(1 + (665\/(-60) - -4) + 6). What is the biggest value in s, -3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -57 = -5*m + 3*u + 2273, -2*u = -2*m + 932. Suppose 0 = v - 112 - m. What is the hundreds digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16*p + 83 = -493. Suppose -p = -4*s - 52. Let v = -3 + 4. Sort 0, v, s, -1 in ascending order.\nAnswer: s, -1, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*u - u - u + (-2*u + 3*u - 2*u)*(2 - 3 + 3) + (-u + 6*u - 4*u)*(0 + 2 - 1) - 28*u - u + 57*u - 2 + 2 - 2*u)*(0 + 0 + 2*u**2).\nAnswer: 46*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Convert 9bb19 (base 16) to base 8.\nAnswer: 2335431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o = -2*z + 10, -2*z = 4*o - 9*o + 30. Put 3, -4, z, -24 in decreasing order.\nAnswer: 3, -4, z, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = d**3 + 15*d**2 + d + 20. Let z be c(-15). Suppose 6 = 5*o + b - 8, 0 = 5*o + z*b - 30. Sort -7, o, 5 in descending order.\nAnswer: 5, o, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 9 - (0 - -20 - (17 - 14)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 6*g - 18 - 0. Suppose 3*w - 162 = -g*p + 7*w, 2*p - 108 = -5*w. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 421 minutes after 4:10 AM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*x + 17 = 2*p, 4*x = 4*p - x - 109. Is 7 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -4133.051 - -4128. Let r = z + 0.051. Let p = -4.99915 - r. Round p to 4 decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 13\/1290316 and -181\/5970.\nAnswer: 19354740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -14, -69, -210, -479, -918, -1569, -2474?\nAnswer: -3675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = z**3 - 2*z**2 - 4. Let o(g) = -6*g + 16. Let t be o(5). Let r be (-44)\/t - (-11)\/(-77). Let q be s(r). Solve q*p = -5 - 10 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from nnhmahkhknh. What is prob of sequence ka?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -5 - 268*h + 80 + 271*h + 66 + 55 to x*h + t and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/7, -4\/501, 169 in ascending order.\nAnswer: -2\/7, -4\/501, 169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express (-2*w - w + w)*(-8*w + 138*w - 18*w + 6*w + 0*w - 4*w + (-3 + 0 + 2)*(4*w + 2*w - 4*w) + w - 2 + 2) in the form y*w**2 + n*w + c and give y.\nAnswer: -226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k = -8 - -7. Suppose 4*w - 5*w = 2. Which is the nearest to k? (a) w (b) -0.1 (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 24, -1, 0, 4 in increasing order.\nAnswer: -1, 0, 4, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -78.7597711 rounded to 2 dps?\nAnswer: -78.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f = -62041\/1320 + 527\/11. Calculate the common denominator of f and 77\/416.\nAnswer: 6240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -28, -61, -94, -127?\nAnswer: -160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify u**6*u\/u**(-1\/7) assuming u is positive.\nAnswer: u**(50\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand ((2 + 3 - 3)*(2 - 3 + 0) + 4 - 2 + 0 - 1 + 2 - 2)*(133*o**2 - 4*o**3 - 131*o**2 - 6*o**3) - o**3 + 3*o**3 + 0*o**3.\nAnswer: 12*o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is next in -456, -408, -328, -216, -72, 104?\nAnswer: 312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**(-2\/11)*n*n\/(n*n**(-3)\/n))**(-2\/71)\/(n**(1\/11)\/(n**(-1\/8)*n*n))**(-1\/16) assuming n is positive.\nAnswer: n**(-24715\/99968)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify f\/f**14*f**(-14)\/f*(f\/(f\/f**(-8\/9)))**32 assuming f is positive.\nAnswer: f**(-508\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (10*(-2)\/420*6)\/((-60)\/1092).\nAnswer: 26\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is q in -q**5\/8 - 4*q**4 - 143*q**3\/4 - 60*q**2 - 225*q\/8 = 0?\nAnswer: -15, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose s - 51 = -0*o - 2*o, -39 = -o - 5*s. What is the highest common divisor of 24 and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -15*d**5 - 2*d**4 + 27418*d**3 - 19216452*d**2.\nAnswer: -900*d**2 - 48*d + 164508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 1 - 7 - (-4 - 0)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((w\/(w*w**(2\/11)*w))\/w)\/w)\/w*(w\/(w\/(w\/(w*w*w**10*w)))*w*w)\/w)**(30\/7) assuming w is positive.\nAnswer: w**(-5010\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:36 AM and 3:05 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18*l + 10 = -16*l. Suppose -o = -5*p + o + 130, -4*p + l*o + 87 = 0. Suppose p*q - 29*q = -95. What are the prime factors of q?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 101221 (base 3) to base 14\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q = 184 - 180. Is 116 + (-1 - 0 - q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = -74*s + 126*s - 11 - 58*s. Let q(m) = 2*m + 4. Give 6*j(l) + 17*q(l).\nAnswer: -2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (c + c + 0*c)*((-1 + 5 - 2)*(-2*c + c - c) - 17 + 17 + 11*c - 1 + 1 + c + c + 2*c - 2 + 2*c - 3 + c + 3) to r + d*c**2 + x*c and give d.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 655 minutes after 3:51 AM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {t: 1, f: 3, z: 4, e: 2, s: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = k + 2*m - 10, -3*k + 15 = 4*m - 5. Let y(u) = 3*u - 2. Let g be y(-5). Let a = g + 37. Solve -4*r + 0*r + a = k for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(147) + sqrt(147) + sqrt(147) + sqrt(147) + (sqrt(147) - (sqrt(147) - sqrt(147)*2)) + sqrt(147) - sqrt(147))\/sqrt(7))\/sqrt(3))**2.\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -4, 10, 4\/3845743?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = 2*j**3 - 10*j**2 - 14*j + 12. Let n be s(6). Suppose -6*t - 13 + 31 = n. What is the highest common divisor of t and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = 4650*n. Let l(p) = -8*p**2 - 2*p - 1. Determine u(l(c)).\nAnswer: -37200*c**2 - 9300*c - 4650","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -2 (b) 3 (c) 1.2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: (-2*(-2)\/(-120))\/((23\/(-1))\/69)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 9 + -6 - -6 - 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 1584 and 24?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 45 a factor of 3015?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 9217?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify r**(-16)\/(r**(1\/3)*r*r)*(r**(-2\/19))**38 assuming r is positive.\nAnswer: r**(-67\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = -r + 12. Let u be p(10). Sort -5, 1\/4, u in descending order.\nAnswer: u, 1\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (741\/5)\/1 - (-20)\/25 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from lssxisescss. What is prob of picking 1 x and 1 i?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v = -1363\/7 - -195. Which is the third biggest value? (a) 0 (b) v (c) -2\/13 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 31*z = 36*z. Suppose z*p = p - 5, -4*p + 20 = 5*s. Suppose -4*u + 50 = 2*v - 2*u, -2*v - u + 52 = s. What is the highest common factor of v and 243?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.0439 and 275.\nAnswer: 12.0725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 0.4 (b) 2\/3 (c) -0.5 (d) 11.8 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q = 4*r - 2529, r - 639 = -q + 3*q. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*m - 393 - 1107 = -4*r, -2*m + 3*r = -760. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 347470536 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -1 (base 11) in base 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is ((-24)\/(-15))\/((-16)\/40)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 87357 - 2*x**3 - 43679 - 43678.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j = -4*j + 17. Let a = 15 + j. Let o be 432\/(-81) - 1\/(-3). Sort a, 5, o in decreasing order.\nAnswer: 5, a, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-j**4 - 4 + 4)*(-2*j - j + j) + 2*j**5 + 5*j**4 - 5*j**4 + 14*j**4 - 2*j**5 - 14*j**4.\nAnswer: 2*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -7592, -7656, -7718, -7778, -7836, -7892?\nAnswer: -7946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of t**6 + 19*t**5 + 1742*t**3 - 556157*t**2 wrt t?\nAnswer: 120*t**3 + 1140*t**2 + 10452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -154*w**2 + 79*w**2 + 76*w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 35 - 74 - (7 + (16 - 0))\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*k = -40*k + 468. What is the greatest common divisor of 180 and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o - 99 = 845. Suppose 3*x - o = 121. What is the highest common factor of 17 and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from pppppgppgppppppppp.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-36)\/20)\/((-3)\/10). Suppose k = 4*m - m - 41, 3*m = -k + 49. Solve -o*w + 3*w = l - 9, 3*l - m = -3*w for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 2*g**6 + 907388*g**5 - 28*g**2 + 1981*g - 3.\nAnswer: 240*g**3 + 54443280*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = c**3 + 5*c**2 + 5*c - 3. Determine i(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 25*r = 113*r - 880. Let j(z) = -z**2 + 8*z + 3. Let k be j(8). Suppose -k*b + 16 = b. Solve 3*c + 6 = 3*v, b*c - 2*c = -v - r for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 635 (base 16) to base 8\nAnswer: 3065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 10084?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k = 8 + -8. Which is the biggest value? (a) k (b) -4\/9 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = 9*n**2 + 8 - 8 - 23*n**2 + 16*n**2. Let y(s) = -237*s**2. Determine t(y(a)).\nAnswer: 112338*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 2630197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 4 and 6218.\nAnswer: 12436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 0.2, 0.3, 1, -1\/10 in descending order.\nAnswer: 1, 0.3, 0.2, -1\/10, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Convert 141 (base 7) to base 9.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -7114 (b) 3 (c) -0.41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1 - 3. Let r(c) = c**2 + 5*c - 17. Let k be r(-7). Which is smaller: k or j?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = -527*t + 119. Let l(b) = 22*b - 5. Let y(s) = -119*l(s) - 5*z(s). Let j(x) = -2*x. Determine j(y(w)).\nAnswer: -34*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 6 a factor of 8415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 119056 and 29764?\nAnswer: 119056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert -202 (base 10) to base 11.\nAnswer: -174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -31612\/5? (a) 0 (b) -103 (c) 2 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) be the second derivative of -3*p**5\/20 + 123*p**4\/2 - 731*p**3\/2 + 729*p**2 - 3274*p. What is n in o(n) = 0?\nAnswer: 1, 2, 243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = 6 + 0 + 0 + 3*o**2 - 2*o**2. Let v be (-153)\/(-17)*4\/(-6). Is a(v) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (((-275)\/(-10))\/(-11))\/((-22)\/517). Let z(f) = 2*f**3 + f**2 - 4. Let p be z(3). Let v = y - p. Which is the smallest value? (a) -3 (b) 1\/2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 74244 and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 7 - (-13 - (11 - 26)) - (0 + 25)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -2071 * 0.11\nAnswer: -227.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 13244420143 (base 5) to base 3\nAnswer: 1011121021110211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 6351.608 centuries in decades?\nAnswer: 63516.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {k: 3, s: 3, r: 1, u: 2, m: 1}. Give prob of sequence krk.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -130906*r**3*x - 14855*r**3 - 2*r + x**3 + 3 with respect to x.\nAnswer: -130906*r**3 + 3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Total of 1.462137 and -2.4914.\nAnswer: -1.029263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express (515148*q**3 - 1226*q**4 - 515148*q**3)*(7 - 4 + 13) in the form h + r*q**3 + i*q**4 + g*q**2 + o*q and give i.\nAnswer: -19616","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 788877768 to the power of 1\/3, to the nearest integer?\nAnswer: 924","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 24*n + 21*n - 14*n to the form d*n + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = -w**2 - 1. Let g(k) = -k**3 - 16*k**2 - 8*k - 4. Let x(f) = -g(f) + 6*p(f). Let r = 151 - 160. Let a be x(r). Let l(n) = 3*n - 4. Calculate l(a).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3432 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l = 4 + -1. Suppose 24 = u + l*u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.4500466 + 0.45. Round f to six decimal places.\nAnswer: -0.000047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -26 + 22. Is 11 a factor of (1\/3)\/(0 + w\/(-396))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 15 divide 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 3 + -20b67c51?\nAnswer: -20b67c4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t = -68.71 - -4.31. Let y = 64 + t. What is the closest to -0.2 in 2\/5, y, 1\/4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 258594 smaller than 258607?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -105 = -3*o - 52 - 56. What is the closest to 1 in -1\/7, o, -2, -14?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = -655*v**3 - 2*v**2 + 553*v - 2. Let h(r) = -r**3 + r**2 + 1. Let o(p) = 2*h(p) + y(p). Find the second derivative of o(a) wrt a.\nAnswer: -3942*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = 744*d - 11160. Let x be u(15). Let -1\/5*m**3 + x + 2\/5*m**2 - 4\/5*m**4 + 0*m + 3\/5*m**5 = 0. Calculate m.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7766989 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q = -25 + 29. What is the third derivative of -14*f - 40*f - 34*f**q - 2*f**2 + f**4 + 8*f wrt f?\nAnswer: -792*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} {"text":"Question: Let w be 12\/480*24 + (-19)\/15. Let h = -4.97 + -0.03. What is the closest to -5 in w, h, -0.2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) 0.02 (b) -2 (c) -0.5 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 280229892 to the nearest integer?\nAnswer: 16740","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Divide 622 by -392.\nAnswer: -311\/196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*q**3 + 2*q**3 - 4*q**3)*(48*q - 62*q + 32*q**2 - 7*q).\nAnswer: 64*q**5 - 42*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-12)\/30 + 34\/10. Let h = 7 - m. Let t(k) = -h*k + 0*k + 0*k. Let r(l) = 2*l. Give r(t(y)).\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f - 12*w = -10*w - 94, -f = w - 33. Solve 3*x + f = 31 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -2218 + 2223. Solve j*k - 15 = 4*i - 3, -3 = 3*k + i for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -38 - 36 - 34 + 244 - 40 - 96 - 5*r**2.\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 23233 is divided by 1296.\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/2 in 3\/2, 0.045, 3, 0.3?\nAnswer: 0.045","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i = p, 2*i - 7*p = -9*p. Factor 0 - 4\/7*c**2 + 0*c**3 + i*c + 4\/7*c**4.\nAnswer: 4*c**2*(c - 1)*(c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-1 + 0)\/(-4)*1. Which is the closest to 0? (a) -2\/7 (b) 0.1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 1745.62 - 1886.891. Round m to the nearest integer.\nAnswer: -141","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 17\/4*((-7138)\/83 + 78).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((3\/(-3))\/6)\/(4\/(-12)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 19263896 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate 141 divided by -6.\nAnswer: -47\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.274 - 16.426. Let r = g - -16.7213. What is r rounded to 3 dps?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 14\/4*(-11 + (-170)\/(-14))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 433 - 373. Let c = z + 311. Is 38 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -654.4 + 654. Let z = 0 + -0.2. Let a = -2.5 + 3. What is the third smallest value in a, o, z?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 80.1 + -74.23. Let j = 29.6 + -36. Let m = t + j. What is m rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -27 by -100.\nAnswer: 27\/100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a = -81 - -111. Suppose a - 33 = 3*w. Sort 1, 5, w, 4.\nAnswer: w, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -23 - -22.925. Let k = -0.231474 + 0.15663. Let x = k - u. What is x rounded to 5 dps?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 26\/410795 and -61\/410795.\nAnswer: 410795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Divide 1038 by 3.\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:11 AM and 2:04 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Do -103566\/295 and -351 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 1019 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = t**2 + 7*t - 18. Let z be v(-10). Let o(f) = f**3 - 11*f**2 - 11*f - 17. Let l be o(z). Let k(a) = -a - 3. Calculate k(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15*h = -h + 192. What is the highest common factor of 12 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (28\/6)\/(140\/(-35)) + (-2817)\/(-2322).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((m\/m**(2\/3))\/m**(-7))\/(m\/m**(-1\/3)*m)**(-38))**(1\/4) assuming m is positive.\nAnswer: m**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r = -8.7 - -13.7. Let p be (-6)\/(-540)*-6*(-7 - -2). What is the nearest to p in 3\/4, -4, r?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) be the first derivative of 1 + 2*a - 10*a**2 + 37\/3*a**3. What is the second derivative of r(z) wrt z?\nAnswer: 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -97188.6 to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*k**4\/11 - 3092*k**3\/11 + 1594440*k**2\/11 - 274773100*k\/11 + 273181750\/11.\nAnswer: 2*(k - 515)**3*(k - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 7 + -7455?\nAnswer: -7447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -0.028, -0.1, 4, -418\/3, 2\/73?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-340)\/55 + 4\/22. Suppose 2*c = u, 8 + 20 = -5*u + 3*c. Let m be 1 + 4\/(u\/o). Solve -5*t = -5*x, 32 = 3*t + t + m*x for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 190 = 6*c - c. Suppose -3 = -39*x + c*x. What is the second derivative of -8*v**3 + x*v + 6*v - 2*v**3 + 3*v wrt v?\nAnswer: -60*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -594 and 2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -39*g + 229 = -44 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 65884475 to the nearest integer?\nAnswer: 8117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9*r**2 - 13*r**2 + 0*r**2 - 5*r**2 + 38*r**2.\nAnswer: 11*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = a + 4. Suppose -7*u - 17*u = 144. Let x(c) = 2*c + 9. Let s be 2\/9 - 248\/(-18). Calculate s*t(i) + u*x(i).\nAnswer: 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = -h**2 + 8*h - 7. Determine p(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = 49*s**3 - 16*s**2 - 669*s - 2. Let t(v) = -3*v**3 - v**2 + 1. Let d(h) = n(h) + 2*t(h). Find the second derivative of d(p) wrt p.\nAnswer: 258*p - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -10 (base 3) to base 4\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b + 4*k + 5 + 1 = 0, b = 3*k + 5. Suppose 4*t + t + 40 = b*w, 5*t = -2*w. Let v(n) = -n - 3. Calculate the lowest common multiple of w and v(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = 2*c + 1. Let i be g(-2). Let s = 8 - i. What are the prime factors of s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -278375.44 rounded to the nearest 100?\nAnswer: -278400","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} {"text":"Question: Round 0.003758844151 to seven dps.\nAnswer: 0.0037588","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(77)\/(sqrt(448)*-1 - sqrt(448) - sqrt(448)).\nAnswer: -sqrt(11)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = 2*q**2 - 11*q + 8. Let p be b(5). Let h(n) be the third derivative of 0*n - 1\/3*n**p - 1\/12*n**4 + 0 - 3*n**2. Give h(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence jcm when three letters picked without replacement from {c: 4, m: 2, j: 7, n: 2, s: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let -2*u**5\/5 + 272*u**4 + 8*u**3\/5 - 1088*u**2 = 0. Calculate u.\nAnswer: -2, 0, 2, 680","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:21 AM and 2:45 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 10921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find l such that 4*l**3\/5 + 3412284*l**2\/5 - 90094752*l + 14866209072\/5 = 0.\nAnswer: -853203, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 190*d + 74 - 37 - 249 - 254.\nAnswer: 190*d - 466","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {d: 4, n: 1, i: 3}. Give prob of picking 2 d.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 141 (base 7) in base 8?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 4259, 8437, 12621, 16811, 21007?\n\"Answer: 3*m**2 + 4169*m + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f + 105 = -367. Let g = f - 104. Find the common denominator of 52\/41 and (-4)\/g - (-500)\/(-63).\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is h in 7644*h**5 + 19558*h**4 + 14372*h**3 + 2114*h**2 - 416*h - 72 = 0?\nAnswer: -9\/7, -1, -2\/7, -2\/13, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2*t + 2*t + t)*(-t + 3*t - t)*(-2733*t + 214989 - 214989) to the form g*t + l*t**2 + k*t**3 + s and give k.\nAnswer: -2733","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = -35*d**3 - 35. Let s(b) = -5*b**3 - 5. Let p(f) = -3*h(f) + 20*s(f). Differentiate p(m) wrt m.\nAnswer: 15*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q*q**0)**(4\/23))**(-14)*((q*q\/q**(2\/7))\/q*q)\/q**2*q**(1\/3)*q*q\/((q**(1\/2)\/q*q*q)\/q*q)*q assuming q is positive.\nAnswer: q**(-857\/966)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Add together -5223346 and -377.8875.\nAnswer: -5223723.8875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = -17*u**2 + 13 + 5 - 12*u + 24 + 8*u**2. Let m(y) = y**2 + y - 1. Let d(r) = b(r) + 5*m(r). What is the first derivative of d(i) wrt i?\nAnswer: -8*i - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -2 + 4. Let y be -2 - ((-40)\/9)\/h. Let p be (3\/(-6))\/(63\/(-54)). Which is the second smallest value? (a) y (b) p (c) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (4\/(-2))\/((-744)\/5952).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 42 divided by 23515745?\nAnswer: 42\/23515745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = 9*g. Let q(z) = 14*z. Let s(k) = 3*j(k) - 2*q(k). Let i(t) be the third derivative of 7*t**2 + 1\/12*t**4 + 0*t + 0 + 1\/3*t**3. What is i(s(h))?\nAnswer: -2*h + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h = 11739 + -7119. What is the thousands digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -259 + 2\nAnswer: -257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 53*v - 36 = 47*v + 2*w, -4*v + 8 = 4*w. Let h = -140 - -265. Calculate the greatest common divisor of v and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (v + 0*v + 2*v + (-3*v + 8*v + v)*(2 - 4 + 1))*(20 - 9 - 13).\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put 1, -1\/20, 0.3, 4, 0, -172 in decreasing order.\nAnswer: 4, 1, 0.3, 0, -1\/20, -172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -914 and -14.855?\nAnswer: 13577.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (-19)\/((-760)\/12) + 3189\/(-9080) and 11\/24.\nAnswer: 5448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 690 > -21006?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = 27*p**2 + 6*p + 3. Calculate v(-1).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1210\/(-11))\/(75\/(-30)) + -6.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 50457 to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = -17*g**2 - 3319*g + 10080. Give n(3).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r = 572\/3 + -190. Which is the second biggest value? (a) 4 (b) -18\/13 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 9 + 6. Let n = -2 + 4. Suppose n*a + a = f. What are the prime factors of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 0.02, -21834.7 in increasing order.\nAnswer: -21834.7, 0.02, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence myh when three letters picked without replacement from {d: 2, p: 1, y: 1, x: 1, m: 10, h: 5}?\nAnswer: 5\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 16 + 33?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n = -8697 - -8699. Solve 3*j + 13 = -2, -n*j = -3*w + 13 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -35405 divided by 1.\nAnswer: -35405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3)\/(90\/24)*(-15)\/54.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 16773?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q*q**3*q*(q**(-4)*q)\/q)\/(q**(-2\/5)\/(q**4*q)))**(11\/5) assuming q is positive.\nAnswer: q**(352\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:26 AM and 6:10 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 525 a factor of 326810925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -10 in -0.01, 0.9, -0.3, -36.8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = -s**2 + 5*s**2 + 4 - 2*s**2 - s**2 - 4*s. Determine n(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 1810*g**2*u + 13*g**2 + 981*g*u + 19*u wrt g.\nAnswer: 3620*u + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-2)\/(-3) - 2\/(-6). Suppose -5*m + 40 = -r, u = 3*m - 0*m + 4*r. Suppose 10 = o + o. Solve -2*n = 3*s + 15, 0 = -s - o*n - 11 - m for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = w**3 + 11*w**2 - 7*w - 46. What is the remainder when 63 is divided by m(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = -24*b**3 - b**2 - b. What is s(1)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*l + 1668 = 2*y, -3685 = -4*y + 3*l - 324. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1257860671?\nAnswer: 47, 26762993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = -8*s + 3. Let x = 6 - 2. Let b(q) = 7*q + 1 - 6 + 3. Let h(p) = x*b(p) + 3*g(p). Calculate h(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -290404188.4827 + 290330503. Let h = 73378.482347 + q. Let y = -307 - h. Round y to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*s + 3*y = -1980, -4*s + 541 = -5*y - 1056. Calculate the remainder when s is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 886?\nAnswer: 2, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g be 6\/(-4) + 235\/10. Find the common denominator of (-4711)\/770 - 4\/g and -33\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -6, -118, -244, -372, -490, -586, -648, -664?\n\"Answer: 2*u**3 - 19*u**2 - 69*u + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 147747 is divided by 1894.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 3156 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -4 in 4, -4, 1\/30?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 5126867 a multiple of 433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3916682?\nAnswer: 2, 7, 11, 29, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} {"text":"Question: What is 0.003 times -16?\nAnswer: -0.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 492233 or 492231?\nAnswer: 492233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 25 (base 7) to base 9\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(891) - sqrt(891)*2)*4 - (sqrt(891) - -1*2*sqrt(891)))**2.\nAnswer: 43659","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence icoo when four letters picked without replacement from {w: 2, i: 4, c: 1, o: 3, x: 1}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 614, 963, 1250, 1469, 1614, 1679, 1658?\nAnswer: 1545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p = 3 + 8. What is the remainder when 20 is divided by p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = 189*q - 22099. Determine m(124).\nAnswer: 1337","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o = 1 - -1. Let m(h) = h**3 + h**2 - 1. Let b(j) = 3*j**3 + 4*j**2 - 3. Let d(x) = b(x) - 4*m(x). Let t be d(0). Which is bigger: t or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*k**3\/5 + 3*k**2\/5 + 108*k\/5 - 108\/5 = 0.\nAnswer: -6, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Factor -2\/5*m**2 + 8\/5*m - 8\/5.\nAnswer: -2*(m - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00062403 rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 1549, 2972, 4345, 5644, 6845, 7924, 8857?\n\"Answer: -4*i**3 - i**2 + 1454*i + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:22 AM and 10:05 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 2218378 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 407 + 213 = 5*d. Does 31 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -28 - -22. Let d(n) = 14*n**2 + 11*n + 14. List the prime factors of d(y).\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 15120 and 720.\nAnswer: 15120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:20 AM and 12:27 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 30576790?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 44131649351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 20284609 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -s**2 + 60*s - 44 + 60*s + 64*s - 21*s**4 + 59*s + 13*s**3 - 242*s wrt s.\nAnswer: -504*s + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 22 and -0.715?\nAnswer: -15.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d = -66 + 62.85. Let n = d + 3.1. Is n less than or equal to -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 2384 and 60?\nAnswer: 35760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -2 or -4104\/4163?\nAnswer: -4104\/4163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b = 614 - 418. What is the highest common divisor of 8 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((4 + sqrt(35)\/sqrt(5) - sqrt(7) - sqrt(7) - (1 + sqrt(28)\/sqrt(4))) + -5 + sqrt(21)\/(sqrt(3)*1) + (sqrt(84)*-2 + sqrt(84) + sqrt(84))\/sqrt(12))**2.\nAnswer: 4*sqrt(7) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -75\/448966 and 99\/14.\nAnswer: 448966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c be -3*(10\/(-6) - -2). Let q = 18 + c. Suppose -27 - q = -2*w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) = -4*f + 2. Suppose 0 = 4*r - 9*r + 5. Suppose 2*u - 3 = r. Determine p(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*b - 2 + 2)*(4*b - 6*b + 3*b) + 6*b**2 - 4*b**2 - 3*b**2 - 11*b**2 + 11*b**2 - 21*b**2.\nAnswer: -24*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x = -53 - -38. Let w be 22\/15 - 3\/x. Which is the second biggest value? (a) -5 (b) w (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 5, 272, 7, -1 in descending order.\nAnswer: 272, 7, 5, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24*a + 33*a = 18. Let k = 8 + 1. Sort k, a, 1 in decreasing order.\nAnswer: k, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = n**3 - 938*n**2 - 2819*n - 3770. What is z(941)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 7463000 (base 8) to base 3\nAnswer: 10202012202220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4627 = 2*k + 3*u, -3*k + 11535 = 2*k + u. Let b(i) = i - k + 2306. Let m(r) = -43*r. Determine b(m(l)).\nAnswer: -43*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 148 and 2738?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 10535 is divided by 867?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s = 6 + -6. Let q be (-4)\/14 + 384\/560. Which is the nearest to q? (a) -4 (b) s (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1127 a factor of 1301272053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 1423585 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -31612.1 rounded to the nearest 1000?\nAnswer: -32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d - 2*a + 334 = 0, -2*d - 5*a = 3*d - 425. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1604201 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = -1282*q**3 - 2*q**2 + 228*q + 229. Determine y(-1).\nAnswer: 1281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = -195*j - 2. Let a(y) = 98*y + 1. What is -10*a(u) - 4*c(u)?\nAnswer: -200*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7767*v**3 - 3*v + 12243*v**3 - 12886*v**3 + 2*v**2.\nAnswer: 7124*v**3 + 2*v**2 - 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u = -5*u - 3. Let x = 1 + u. Is x less than 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ne when two letters picked without replacement from {n: 5, e: 1, f: 5, o: 1}.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -b + 17*b + 56 = 8*b for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y be 68\/24 + 42\/252. Solve 5*i + 2*k + 11 = 0, 2*i - 3*i = 3*k - y for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) = 20*y**2 + 96*y + 4. Let l(z) = -20*z**2 - 111*z - 5. Determine 6*l(c) + 7*n(c).\nAnswer: 20*c**2 + 6*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 204 + 159 + 2484*o - 363.\nAnswer: 2484*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-396)\/(-297))\/((-6)\/(-48))*3*(-2)\/(-2).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = 2*o**2 - o - 2. Let z be g(3). Let j(i) = 4*i - z*i + 4 + 8*i. Let q(l) = 1. Let c(h) = 5*j(h) - 15*q(h). Determine c(4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 6247512000 to the nearest one hundred thousand.\nAnswer: 6247500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h be 35*(-1 - -2)*1. Let q(o) = o**2 - 5*o - 1. Let p be q(6). Find the second derivative of 15*i**p + 15*i**5 + 9*i - h*i**5 wrt i.\nAnswer: -100*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 11163*s = 22266*s - 11164*s - 3111 for s.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l = -1 + -8. Let x(b) be the first derivative of b**4\/12 + 7*b**3\/6 - 6*b**2 - 315*b + 43. Let o(q) be the first derivative of x(q). Give o(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 48 and 71859?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -12842*g - 357226 - 208826 = -167680 + 51098 for g.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find y such that -4*y**2 + 3713480*y - 861870856900 = 0.\nAnswer: 464185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:07 PM and 5:29 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is -7142 >= -7142?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-6)\/(-7)*(-182)\/104)\/((-12)\/(-32))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 69078 - 0?\nAnswer: 69078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*y = 4*y + 400. Let v = y + -25. Calculate the remainder when 41 is divided by v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Add -10.860235 and 3.54337.\nAnswer: -7.316865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000015343 rounded to seven decimal places?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Product of 108588 and -0.1111.\nAnswer: -12064.1268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-8)\/44 + 2689631\/(-1760). Let u be 7653\/(-2)*-1*24\/60. Let m = u + j. Calculate the common denominator of m and -107\/44.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 - 18 = -4*g. Suppose 0 = -0*p + g*p + 200. Round p to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = -16*c**2 + 5*c - 37. Let p(i) = 23*i**2 - 6*i + 50. Let h(d) = -5*p(d) - 7*s(d). Determine h(3).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*f + 9*x - 7*x + 10 = 0, -x = 4*f + 23. Let z be 19\/38*(2 + f - -2). Let l(d) = 3*d**2. What is l(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 443 - 232. Suppose 189 = 3*w - 5*b + 25, -4*w + j = b. List the prime factors of w.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -0.1, -6002, -5, 5, 2\/55?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 132900643 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -1 (b) -0.4 (c) 4953 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*n + 104 = -370. Let o = 83 + n. What is the third derivative of -2*w**4 + 2*w**o - 16*w**2 + 6*w**4 - 4*w**2 wrt w?\nAnswer: 144*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) -5 (c) 0.5 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1817 and 7452.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -g - 528726 + 3*g + 528726.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is one sixth of a hour in minutes?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = -i**3 + 2*i**2 + i - 1. Let y be t(1). Let a(p) = 2*p**3 - 2*p**2 + 2*p - 1. Let l be a(y). Which is smaller: l or -1\/20?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {y: 4, g: 3, v: 3, i: 3, f: 1, a: 1}. What is prob of picking 1 f, 1 g, and 1 i?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = -610*f**2 - 69874*f. Let q(v) = -v. What is t(q(y))?\nAnswer: -610*y**2 + 69874*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c = 62 - 57. Find the third derivative of -186*g**3 - c + 186*g**3 - 24*g**4 - 4*g**2 + 2 wrt g.\nAnswer: -576*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5097.62 rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -114+-2.71\nAnswer: -116.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = -v**2 - 7*v + 8. Let i be l(-8). Let t be i + 11 - (0 - -3). Let r = 24 - t. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 2415 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many weeks are there in 812.900907ms?\nAnswer: 0.0000013440821875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l = 4.7 + -6. Let o = -3.5381364 - -2.23813. Let w = o - l. Round w to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0017254 to four dps.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i be 2\/10 + 392\/(-35). Let q(r) = -r**3 - 11*r**2 - 4*r + 1. Let z be q(i). Let o = z + -32. Is o a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -46077 by 10.\nAnswer: -46077\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 58*k - 13*k - 14*k**3 - 45*k + 2 - 5*k**3.\nAnswer: -19*k**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 1920481*z**3 + 2*z**2 - 5586054*z wrt z?\nAnswer: 11522886*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (17526\/(-99314))\/((-2)\/(-1598)).\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = -u**3 - 6*u**2 - 5. Let i be n(-6). What is the biggest value in 2, 11, i?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -33 + 3 = 5*i + 5*a, 0 = 4*i + 5*a + 24 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -1 divided by 1431\nAnswer: -1\/1431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v - 1 = 2*l, 2*l - 3 = -1. Is (2230\/(-15))\/(2\/v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -3*o**2 - o + o**2 - 2*o**4 + o**3 + 0*o**2 in the form u*o + z + q*o**4 + h*o**3 + i*o**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round -6640000 to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j = -4 - -7. Suppose -4*r = 4*x + 32, -j*r + 8 = -4*x - 3. Let a = r - -5. Is -1 greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 5 and 2337730.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = 26*v**2 - 8*v - 8. Let i(z) = -17*z**2 + 5*z + 5. Let s(a) = -8*i(a) - 5*q(a). Let o(u) be the second derivative of u**3\/6 + u. Give s(o(l)).\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n = 17.7 - 17.3. What is the closest to -2\/3 in -0.3, n, 0.03?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6335 is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 1187444 < 1187446?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*l = -l + 25 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -20440 divided by 14?\nAnswer: -1460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -18*-3495.8\nAnswer: 62924.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 145 is divided by 63.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s = -26 - -28. Let j(b) = -b**3. Let o be j(0). Suppose -4*h - s*h = o. Solve 3*t + n = 2, h*t + t - 5*n = 22 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -1 - (7 + -10) - -3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -r - 2 = -3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {j: 7, a: 1, y: 2, d: 2, s: 1, p: 1}. Give prob of sequence yd.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(605)*-1 + -3)**2*-4 + 2 - (-2*sqrt(20) + 4 + 3*(sqrt(5) + sqrt(5) + sqrt(5) + -1 + 3)).\nAnswer: -2464 - 269*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-60592)\/8481)\/(-2) - 1. Let p = 48602\/9 + -12490846\/2313. Let h = p + i. Calculate the common denominator of h and -43\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*sqrt(76)*-1)\/(-1*sqrt(4)*6) + -1 + -2 + 0 + 4.\nAnswer: -sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 77 minutes after 10:04 AM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m = -5844106305.9999833 + 5844106848. Let u = 542 - m. Round u to 6 decimal places.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 182108911377521\/75597624381180 + 24009\/288627580. Let k = 2\/23811 + h. Calculate the common denominator of (6\/(-9))\/((-204)\/639) and k.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1367?\nAnswer: 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -15ec67 - 4e?\nAnswer: -15ecb5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3 + sqrt(68))*-6 - ((sqrt(68)*1)\/sqrt(4) + -2*sqrt(17) + -1)**2.\nAnswer: -14*sqrt(17) - 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = -10*i + 94. Calculate the lowest common multiple of 872 and f(9).\nAnswer: 872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = -3*b**2 + 5*b + 4. Let j be c(-1). Sort -1, j, -3, 5 in increasing order.\nAnswer: j, -3, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (11049\/(-1143))\/(2\/6)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 0.4, -6\/5, -2, -2\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = -z**3 - 6*z**2 + 2*z - 1. Let i be a(-6). Let s = 126 - i. Let l = 421\/3 - s. Does 0.1 = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 25319 is divided by 2378?\nAnswer: 1539","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-5 + ((0 + sqrt(7))*-5 - (sqrt(7) - (sqrt(7) + sqrt(7)*-1 + -5))))**2 + -5)*2.\nAnswer: 240*sqrt(7) + 694","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let p be 813\/9 - 1\/3. Suppose 0 = 4*y - 9*y + p. Is 7 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = -j - 1. Let x be y(-1). Let i be 105\/6*(2 - x). Let k be i\/(-570) + 2\/(-19). Is -0.1 > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 66, -212, -1010, -2586, -5198, -9104, -14562?\nAnswer: -21830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -51*o**2 + 122*o**2 - 32*o**5 - 35*o**2 wrt o.\nAnswer: -1920*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -11 - 100100120101?\nAnswer: -100100120112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -135306918 or -135306919?\nAnswer: -135306918","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*k - 7 = 28 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -19\/8470 and -53\/5445?\nAnswer: 76230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = -45*x**2 + 284*x + 121. Give i(6).\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l = 10 - 7. Suppose 0 = -2*v - 5*v + 35. Suppose v = 2*c + 5*p + 3, 4*c = -2*p + 4. What is the remainder when l is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 65 = -3*c + 53 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put 84, -2, 24 in descending order.\nAnswer: 84, 24, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-59 - -52) + (1 - -2). Let s = -5.7 + 6. Which is the fourth biggest value? (a) 2\/5 (b) -1 (c) s (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 15\/((-15)\/11) - (1 - -2)\/(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*g + 7*g - 5*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 6\/(-9) - (3\/(63\/(-6074159)) - -4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -4 - -14. Let g = l - 15. Let o(v) = -v**2 - 3*v + 7. What is o(g)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 41\/645370 and 103\/38?\nAnswer: 12262030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -27*d**3 + 47*d**3 + 69*d**3 + 0*d**3 + 31*d**3.\nAnswer: 120*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is ((-12)\/(-33))\/(-3*(-26)\/5577)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 100748 and 6983308.\nAnswer: 1132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Put -0.4, 0.81, 6, 1\/4, 2\/29 in descending order.\nAnswer: 6, 0.81, 1\/4, 2\/29, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = 2*p + p - 2*p. Let h(b) = -3*b. Let z(q) = -7*q. Suppose v - 6*v = -k + 19, k - 3*v = 9. Let y(d) = k*z(d) + 15*h(d). Determine y(w(f)).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -417 = -3*w - 3*r, r + 148 = w - r. Let a be 3386\/(-24) + (-1)\/6. Let m = w + a. Which is smaller: m or 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (3\/11346)\/((-23)\/(-782966)) + -9. Is t <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {i: 4, s: 3}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -76, 123, 314, 497?\n\"Answer: -4*v**2 + 211*v - 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 138630 and 138630.\nAnswer: 138630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -30443, -60886, -91329, -121772, -152215, -182658?\n\"Answer: -30443*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.5 and 47?\nAnswer: -23.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.49691 * 0.4.\nAnswer: 0.198764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 17518 and 184?\nAnswer: 1611656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*p + 3009 - 3015 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 265 minutes after 2:15 PM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = o - 24 + 24. Let z(x) = 52*x. Let v(s) = 7*s - 1. Let g(y) = -3*v(y) + z(y). Calculate n(g(c)).\nAnswer: 31*c + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5318409.\nAnswer: 3, 197, 8999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l = 3 + 57. Let v = l - 11. Let u = v + 14. What are the prime factors of u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 68 a factor of 13418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z = 29.106 + -29. What is z rounded to 2 dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.2886 in 48, 5, 22?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 13*w**4 + 2*w**4 - 8*w**4 + (0*w + 2*w - w)*(-2*w**3 - 2 + 2) - 6*w**4 + 10*w**2 - 10*w**2 to o*w**2 + v + c*w**3 + k*w + l*w**4 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*o + 84 = -2042*i + 2046*i, 3*o - i + 28 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 72 and 81?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k be 1\/(-3) + 1\/(-24). Let z = -136.3 - -136.6. What is the closest to 0 in k, -1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -1111130343 (base 5) to base 11\nAnswer: -1419184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1 - -5. Suppose 2*m - 3*m + g = 0. Solve -m*x = -2*z + 30, -3*z + 6*z - 4*x - 35 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 23290852?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 1 - 1003?\nAnswer: -1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 0 - -13000?\nAnswer: 13000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 152*l + 9108 = -110*l + 55*l for l.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} {"text":"Question: Simplify ((f\/(f\/(f**(-6)*f)))\/((f\/(f*f**8\/f*f))\/f)*f**(3\/4)\/f*f**(-1\/15))**(-29) assuming f is positive.\nAnswer: f**(-6409\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*j + 1056 = -5*n, 3*j = -n - 325 + 109. Find the common denominator of 17\/84 and (-21)\/105 - 1257\/n.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (-21 - (-8 + 6)) + 13819?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*(4*(-3*(0 + sqrt(1008))**2 + sqrt(1008))*-6 + 1).\nAnswer: -1440*sqrt(7) + 362885","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -328*q + 326*q = 26. Is -14 < q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify c**(-6)*c**10*c**5\/(c*c**(-4)) assuming c is positive.\nAnswer: c**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j = 97 + -75\/2. Let v = -57 + j. Which is the third biggest value? (a) v (b) -1\/9 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (-600)\/72*-1*1005.\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1 or 3\/19802?\nAnswer: 3\/19802","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-2 + 4)\/((-16)\/(-47)). Let q = l + -71\/40. Let j = 423 + -867\/2. Calculate the common denominator of q and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1 - -1. Suppose i*b = 3*b + 21. Let r = 11 + b. Solve -1 = r*o - 9 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -2 + 12. Calculate the lowest common multiple of 2*5*5\/y and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -2\/237 + -233\/474. Let f = 57 + -59. Which is the nearest to -3? (a) f (b) -2\/3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -7 - 4. Let v = g + 50. Let y = 57 - v. Calculate the lowest common multiple of y and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -15 + 31. Let u be (-10)\/(-4)*a\/10. Suppose u*c = 5*m - 133, 0 = -0*m + m + 5*c - 15. Solve 3*h - m = -5*n, 0*h = 5*n - 5*h - 25 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) be the second derivative of -7*x**4\/12 + 6562*x. Let w(p) = -2*p - 7. Calculate h(w(b)).\nAnswer: -28*b**2 - 196*b - 343","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 7333*h**3 + 2*h + 31658 wrt h?\nAnswer: 21999*h**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 2075190 divided by 6\nAnswer: 345865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Work out -2.723566 * 5.\nAnswer: -13.61783","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -725, -2807, -6245, -11033, -17165?\nAnswer: -24635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 13213414919 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 3.6051 + -4\nAnswer: -0.3949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 = -j - 6, -j = 3*a + 61. Let s(t) = t**2 + 20*t - 25. Determine s(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 30*r = -8*r + 199*r + 1610 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -607*u + 597 + 806 = -2010*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x = -5*y + 12, -5*x - 19 = -3*y + 1. Solve y = -2*z - 2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) = -34*f - 7. Let l(g) = -3*g + 1. Determine 3*l(s) + z(s).\nAnswer: -43*s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -5, 3, 11?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1.8 in -1, 3, -29, -2\/7, 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: (24\/(-90))\/((64\/(-12))\/(-8))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 450598?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 251 divide 20080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 j and 1 c when three letters picked without replacement from {o: 3, i: 1, c: 8, u: 1, j: 6}?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -14, -52, -100, -158, -226, -304?\nAnswer: -392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 87757 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-15)\/(-6))\/((-5)\/(-16)). Is k greater than 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -3294, -12710, -28326, -50148, -78182, -112434?\n\"Answer: -k**3 - 3094*k**2 - 127*k - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) be the third derivative of 311*x**6\/120 + 111*x**3\/2 + 6*x**2. What is the first derivative of g(r) wrt r?\nAnswer: 933*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2240874539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d be 4\/26 + (-492)\/(-13). Suppose 0*s = -4*s - 4*o + 48, -4*o = 3*s - d. Is 6 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 16306600091 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**6*q*q*q**(4\/9)*q)**(-21) assuming q is positive.\nAnswer: q**(-595\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = 3*r + 15. Suppose b = -7 + 119. Let v be ((-2)\/(-4))\/(8\/b). Does 12 divide d(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 7 - 5. Let t(y) = -y**2 + 17*y + 24. Let p be t(18). Let b be p\/(-15) + 17\/5. Solve -5*r = -3*x + g, r + 8 = b*x - r for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*l**2 + 28*l + 48 = 0. What is l?\nAnswer: -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1482 and 10944.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) be the third derivative of a**5\/60 + 5*a**4\/24 - a**3\/6 + 3*a**2. What is the tens digit of h(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3368.\nAnswer: 2, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 1\/2 (b) -1 (c) -291 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 640 divided by -160\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in one quarter of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) 2\/7 (b) 0.824 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide 334?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-26)\/65)\/((-1)\/(-20)). Let r = 14 + v. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) be the second derivative of -f**4\/3 - 2*f**3 + 8*f**2 + 258*f. Factor p(g).\nAnswer: -4*(g - 1)*(g + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) be the third derivative of m**5\/12 - 185*m**4\/12 + 6845*m**3\/6 + 2*m**2 + m - 12. Find u, given that n(u) = 0.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -5*h - 9*h - 8*h to a*h + j and give a.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x be (2 + (-10)\/4)\/((-1)\/12). Let y(t) = t**2 - 11*t - 4. Let z(s) = s - 1. Let o(w) = -y(w) - 4*z(w). Calculate o(x).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 18 and 3628692.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.64 in -0.4, 3, -2\/11, -1.01, -7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 3 + 2 + -3 + (0 - (-7 - -8))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -3742152, -7484321, -11226490, -14968659?\nAnswer: -18710828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is ten thirds of a year in months?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 35316191 to the nearest integer?\nAnswer: 5943","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = 6*v. Let d(r) = -72*r + 1. Let y(c) = -358*c + 676. Let m(n) = -5*d(n) + y(n). What is l(m(x))?\nAnswer: 12*x + 4026","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 4477, 523, -6079, -15329?\nAnswer: -27227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (33\/2)\/3*(-60)\/30.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 3505876741?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -8\/11, 4\/5, -1\/30?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = 4*u**3 - 6*u**2 + 5*u - 3. Let t(x) = 5*x**3 - 7*x**2 + 6*x - 3. Let p(s) = -11*s + 214. Let b be p(20). What is b*t(y) + 7*k(y)?\nAnswer: -2*y**3 - y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 10147 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from jnmjcmfw. Give prob of sequence mwm.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert 1849 (base 12) to base 7.\nAnswer: 11364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 19*w + 3*w + 15 = -161 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve w - 55*t + 67 = 0, 705 = -2*w - 2*t + 795 for w.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = o**3 + 4. Suppose -2*f + f - 2*f = 0. Let a be u(f). Differentiate -18*x**a - 4 - 12*x**4 + 16 + 23*x**4 with respect to x.\nAnswer: -28*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c**(-1\/10)\/c*c**1)\/(c*c**2)**45)**34 assuming c is positive.\nAnswer: c**(-22967\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort -970\/7, 117, -0.8.\nAnswer: -970\/7, -0.8, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 939680?\nAnswer: 2, 5, 7, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f = -1613 - -1610.555. What is f rounded to 0 decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = z**2 + 1. Let m be i(0). Is m less than 2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (2 - (-156)\/4)*(1 - 0). What is the tens digit of (-11 - -12) + i + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 10*n + 2*n + 14*n to the form v*n + y and give v.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = -a**2 + 2*a - 1. Let p be y(1). Suppose o - 34 = -3*o - 5*n, o + 5*n - 16 = 0. Solve -3*t = -p - o for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*u + 26 + 9 = 5*c, -2*c = -u + 1. Let v be (-2)\/(-12) + c\/(-4). What is the closest to v in -4\/7, -5, 1\/5?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2042920 rounded to the nearest 100000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z be 3\/(-5) + 272\/(-80). Let n be -15 + 4 - z\/2. What is the units digit of (n\/15)\/(3\/(-15))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 48.0794 * 5.\nAnswer: 240.397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k be 8\/16 + 27\/6 + -2. List the prime factors of 12\/(-8)*k*(-6)\/9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -14 + 14. Suppose -2*c - 2*c + 20 = j. Let u(h) = h - 5. What is u(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 9\/((-90)\/25)*(-8)\/(-12).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide -15657 by 4.\nAnswer: -15657\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Multiply 1.09579 and -0.05.\nAnswer: -0.0547895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express (-u - 4*u + 2*u)*(-u + 0 - 10 + 1) in the form b*u + z*u**2 + y and give b.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17*g = -13*g + 32. Let c(a) = a**3 - 5*a**2 + 3*a + 7. Let f be c(4). Let z be f - (-2 - 0 - g). Sort 1, -1, 2, z.\nAnswer: z, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 g, 1 a, 1 e, and 1 b when four letters picked without replacement from agebebeaab.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 2230958647 plus 0.1?\nAnswer: 2230958647.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*((sqrt(20) - (3 + sqrt(20)*2)) + 3).\nAnswer: -4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 208970696.\nAnswer: 2, 11, 199, 11933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = x**2 + x + 4. Let m be w(0). Suppose 0 = q - m - 7. Let k = 45 - q. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*i**3*p**3 - 155*i**3*p**2 - 2*i**2 + 16*p**3 wrt i?\nAnswer: 12*p**3 - 930*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = 13*h + 308. Calculate v(-23).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:31 AM and 12:46 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = -2*x**2 - x. Let w be j(-1). Is 1\/((-4)\/212)*w a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = d - 4. Let q be v(6). Which is the nearest to -3? (a) 0.5 (b) -1\/5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 11 and 430529?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Does 38 divide 435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sum -60331 and 30.5.\nAnswer: -60300.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3933 + 3933 - 733*c**3 + 123*c**3.\nAnswer: -610*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 59\/21088 and -77\/192?\nAnswer: 126528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 4172, -4 in descending order.\nAnswer: 4172, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 252513132 - -2?\nAnswer: 252513134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**(-12)*i)\/((i*i**(11\/4)*i)\/i) assuming i is positive.\nAnswer: i**(-59\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = 288*h + 4442. Calculate y(-16).\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d be 2\/7 - (-4)\/(-14). Suppose -v - 59 + 87 = d. Calculate the highest common divisor of v and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -118*p = -115*p, -36 = -3*j + p. What is the smallest common multiple of 4 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1 less than 609\/58085?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = -2*c**2 - 9*c - 7. Let q be w(-3). Suppose -5*o = -q*o - 24. What is the highest common divisor of o and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 5465 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s = 13.60922914 - 62.60922938. Let a = s + 49. What is a rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = 25*z - 44. Suppose -8*g + 7*g + 13*g = 72. Determine q(g).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 3239 - 6377. What is the common denominator of 1\/(360\/v) + 10\/75 and 61\/28?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 27*c - 26 = 14*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is (3 - ((-686)\/(-56) + -10))\/((-30)\/368)?\nAnswer: -46\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -0.5, -0.8, 4, 2, 1290, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (31 - 49 + 24)*(-2*h + 4 - 4).\nAnswer: -12*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -3330221 (base 5) in base 7?\nAnswer: -331432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 82609113?\nAnswer: 3, 1069, 25759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is m in -4*m**3\/7 - 116*m**2\/7 - 412*m\/7 - 300\/7 = 0?\nAnswer: -25, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1 - 6) + 0 + 9 + -5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m be (2817\/(-15))\/(21\/105*-1). Sort m, 1, 2 in increasing order.\nAnswer: 1, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 70.5234 to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = 2*b**2 - 1 + 0 - 2*b**2 + 4*b**2. Let g be v(1). Suppose 4653 = g*c + 933. Round c to the nearest 100.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 191003\/743240 - -2\/5465. Calculate the common denominator of b and 3 + -2 + -4 - 1179\/(-126).\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 5348, 5342, 5336?\nAnswer: 5330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 42379895 to the power of 1\/2, to the nearest integer?\nAnswer: 6510","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r = 104 + -101. Suppose 6*j = r*j + 795. Suppose -5*c + j = 80. What is the remainder when c is divided by 18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = 4*w + 2. Let q(t) = t. Let k(c) = -l(c) + 3*q(c). What is k(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -1629, 11, 5 in descending order.\nAnswer: 11, 5, 2, -1629","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is ((16\/4)\/(-1))\/(((-18)\/(-12))\/(-3))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v = 234.25 - 129.31. Let g = v + -0.94. Let r = 108.3 - g. What is r rounded to 0 dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*t - 3*y + 8*y - 9835, 5916 = 3*t - 2*y. What is the hundreds digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.091 + -4.909. Let v = -53 - -55. Which is the closest to v? (a) -1 (b) n (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b + 19 = -5*u - 6, -4*b = -8. Is -3 < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 7\/(28\/(-8)) + 17. Let z = 17 - v. Let g = z - -10. What is the remainder when 46 is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 388 + -389.2. Let q = 0.1 + 1.1. Let k = q + b. Is -1 >= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = -r**2 - 8*r - 9. Let z be a(-6). Suppose -18 = 2*t - z*t. Calculate the highest common factor of 9 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*q + 2*j + 56, 51 - 67 = 4*j for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is ((-8)\/160*(-1)\/(-4))\/(96\/240)?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -60502 divided by -230\nAnswer: 30251\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f = 46 + -2. Let c = f - 31. Calculate the remainder when 77 is divided by c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -2\/5, -2\/3, -17638645?\nAnswer: -17638645","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = -y**2 + 212*y - 11012. Give d(91).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is (-2)\/105*3*5*(-9)\/18?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) be the second derivative of -41*k + 0*k**5 + 3*k**2 + 0*k**4 + 0*k**6 - 1\/6*k**3 + 0 + 26\/21*k**7. What is the second derivative of b(c) wrt c?\nAnswer: 1040*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {l: 1, y: 1, j: 2, c: 1, h: 4}. Give prob of picking 2 j, 1 h, and 1 l.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = -14*w**2 + 148*w + 215. Give i(12).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-4 + sqrt(1100))*-5 - sqrt(1100))**2*3.\nAnswer: -7200*sqrt(11) + 120000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z = -2*k, -4*z = -6*z + 3*k + 13. Solve 6 = f - y, -5*f + 15 = -0*f - z*y for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = -d**2 - 11*d + 3. Let y be s(-6). Let b = y + -20. Let n = -72 + 110. Calculate the remainder when n is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 14480?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -27 = 4*j - 3*x, 0 = 259*j - 264*j + 3*x - 30 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 38*k**3 + 2 - 39*k**3 - 3*k**2 + 23*k**2 to the form n*k**2 + h + b*k + g*k**3 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 0.4, 271, -2\/3, 0.2, -13\/9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 143*h + 1736 = 373 - 1068 for h.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 15 a factor of 3105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z = 23 + -23. Suppose z*u + 5*u = 50. Does 5 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t - 13 = -a - 3, 4*a + 20 = -4*t. Suppose a = 4*n + 4. Sort n, 3, -4.\nAnswer: -4, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2 + 2*h**2 + 15*h**3 + 0*h**3 + 13*h**3 - 14*h**3 wrt h?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = 4*r**2 + 4*r - 4. Let f(m) = -m**2 - 4*m. Let c be f(-2). Let b(w) = -3*w**2 - 5*w + 4. Let s(i) = c*l(i) + 5*b(i). Determine s(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 399720?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*t - 2*t**2 - 3*t)*(-2859*t + 1119*t + 715*t).\nAnswer: 2050*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k = -4 + 6. Let a(o) = -3*o**k + o**2 + o**2. Let s(i) = -i - i - 2*i. What is a(s(m))?\nAnswer: -16*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 6 - ((-9 + 2 - -102) + 14 + -28 + 19)?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 76*i**4*u**3 + 5*i**3*u**3 + 4*i**2*u**2 - 5*i*u**3 + 5*u wrt i.\nAnswer: 1824*i*u**3 + 30*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 61 - 387*z - 61 + 392*z.\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*(5 + sqrt(252)))**2 - sqrt(252) - ((4 + sqrt(252) + -5)**2 + sqrt(252) + sqrt(252)).\nAnswer: 534*sqrt(7) + 2240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 27 = -6*l - 21. Let t = 2 + l. Does 25 divide (-2453)\/(-33) + (-4)\/t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 1, b: 1, a: 1, j: 2, w: 2}. Give prob of sequence ca.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i + 2*i - 112 = 0. Let g = -24 + i. Suppose -m + 110 = g*m. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1 - -3. Suppose -3*t + 291 = r*a, t + 8 = 3*a + 105. Let o = -30 + t. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 189842183447 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 23091 and 181041137?\nAnswer: 7697","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify f\/(f**(-3)*f*f)*f**(-33)\/f*f assuming f is positive.\nAnswer: f**(-31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-2*sqrt(112))**2 - sqrt(112))*-3 + (sqrt(112) - (-2 + sqrt(112) + sqrt(112))*5) - (sqrt(112)*3*1)**2*-3.\nAnswer: -24*sqrt(7) + 1690","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2 - -5) + 5 + -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 717 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a = -828 - -9110\/11. Factor 2\/11*n - 4\/11 + a*n**2.\nAnswer: 2*(n - 1)*(n + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 223314253 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence vqq when three letters picked without replacement from vvqvccvvvvq.\nAnswer: 7\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate (3 - (5 - 3)) + -15 + 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = -166*r - 265. Calculate g(4).\nAnswer: -929","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i be 128\/(-40) + (-1)\/(-5). Let o be 38\/12 + i\/18. Suppose o*w - 7*w = -40. Solve d = 3*d - w for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -3985.78531 to zero decimal places.\nAnswer: -3986","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 43\/2 of a century in years?\nAnswer: 2150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1390 + -1793.9. Let p = w + 425. What is p rounded to 0 dps?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 c and 3 e when four letters picked without replacement from ccccccecccecccccece.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Round 563.3954095 to 1 dp.\nAnswer: 563.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 9127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 1\/8 (b) -2 (c) 4 (d) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u + 1 = -2*u + 4*a, 3*u = 3*a. Let i = 36161\/3881880 - 2\/11835. Let s = i - -15\/41. Is u less than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20424501 = -241*c + 214*c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 61 (base 13) to base 2.\nAnswer: 1001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((c*c**1\/c)\/c*c)\/c*c)**(-2\/45))**(-2) assuming c is positive.\nAnswer: c**(4\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Divide -3815 by 2.\nAnswer: -3815\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -349*m - 52 = -353*m - 5*h, 3*m - 1 = h for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 87576 is divided by 802.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate 11 + (0 + -44 - -19).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q = 130 - 124. Let j = -8 + -3. Let b = 3 + j. Which is smaller: b or q?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = -y**3 - 187*y**2 + 56*y - 24829. Calculate z(-188).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Work out -5420 * -0.4.\nAnswer: 2168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 127 is divided by -44*7\/(-28) + 4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-90)\/(-231)*5495\/(-2355)?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j = -9854 - -837603\/85. Find the common denominator of j and 105\/68.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -13 + -6.8621.\nAnswer: -19.8621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand -6*l + 2*l - 2*l + (-1 + 2 + 0)*(2*l - 2 + 2) - 2*l + 1 - 1 + (-28 + 18 - 40)*(0 + 0 + l) + 2*l + 2*l - 3*l.\nAnswer: -55*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: (-11)\/3*(-10)\/165\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 841656781?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 32801464.\nAnswer: 2, 661, 6203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 4 (base 5) to base 3\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = -v**2 + 3. Let u = -310 + 308. What is h(u)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 0.3, -40, -1\/11, -2\/5, 1457?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from vdduavwxdadx.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 294392 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -19032, -19028, -19022, -19014, -19004?\n\"Answer: r**2 + r - 19034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is p in 13*p**3\/4 + 139507*p**2\/4 + 91207*p\/2 + 10730 = 0?\nAnswer: -10730, -1, -4\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -253? (a) 3\/4 (b) 0.5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-441)\/378)\/(14\/(-6)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 1545 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Does 129 divide 118666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 0 (b) -0.94 (c) 31 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is (14\/(-6))\/(-308*67\/(-106128))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 34\/119*(-42)\/(-50)*(-1)\/(-2).\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = 4*s - 61. Let l(n) = -12*n**2 - 6*n**2 + s*n**2. Let i(v) = 4*v**2. Calculate l(i(x)).\nAnswer: -32*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 1\/50, -1\/4, 78.3.\nAnswer: -1\/4, 0, 1\/50, 78.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {r: 5, g: 13}. Give prob of picking 2 g.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 209371 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g + 4*g - 12 = 0. Suppose -5*b = -g*b + 12, -y = -3*b - 26. Solve -h - 3*u = 3*h - y, 0 = 2*h + 3*u - 10 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*q + 35*h - 40*h - 19, -q = 3*h + 18. What is the closest to q in -0.3, 2, 20?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o - 16 = -2*u - 3*o, 0 = 3*o - 6. Suppose -2*h + r + u = 6*r, -4*h + 2*r + 74 = 0. Suppose 2*k - 6 = h. What are the prime factors of k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 502 + -1001\/2. Sort 0, v, -6, 4.\nAnswer: -6, 0, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = -a**3 + 18*a**2 - 14*a + 27. What is the tens digit of t(17)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from prpppprpppppppprrpp. Give prob of picking 3 p and 1 r.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 89\/2774912 and -221\/821520.\nAnswer: 124871040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 5*(2 - 1)*275\/1375?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = -2*l**3 + 4*l**2 - 48*l. Let k(g) = -g**5 - g**2 - g. Let h(t) = -4*k(t) - s(t). Find the second derivative of h(r) wrt r.\nAnswer: 80*r**3 + 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 64111*f - 63982*f - 4257 for f.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**9*f**(-2\/31))**(-2\/3) assuming f is positive.\nAnswer: f**(-554\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*l - l + 4. Let h be 1 + l + 0 + 2. Factor -6\/5*k + 3\/5*k**h + 0.\nAnswer: 3*k*(k - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = 5*p**2 + 4*p - 15. Give w(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*j = -18*j - 5. What is the fourth biggest value in -6, -4, 2, j?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -873a6285 + -5?\nAnswer: -873a628a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*u**4\/9 + 10*u**3\/9 - 2*u**2\/9 - 10*u\/9 = 0.\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h + 1 = -0*h - l, -5*h + 2*l + 2 = 0. Let k be ((-6)\/(-18))\/((-1)\/(-6)). Which is smaller: h or k?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (4\/90)\/((-48)\/(-240)). Find r such that -a*r**2 + 0 + 0*r - 4\/9*r**3 - 2\/9*r**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -57 + 184\/(16928\/13340).\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) be the third derivative of -1\/6*m**4 + 0*m**5 - 4*m**2 + 1\/20*m**6 + 0*m + 0 + 0*m**3. Find the second derivative of p(y) wrt y.\nAnswer: 36*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 0 + -10110110?\nAnswer: -10110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (81 + 158 - 6)*(3*x + 3*x - 4*x)*(-2*x - x + x).\nAnswer: -932*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**(-2\/3)*h)**2\/((h\/(h*h\/((h\/(h**0*h)*h)\/h)))\/(h\/h**(-1)))*(h**(-1))**17\/(h**(-2)*h*h**(1\/4)) assuming h is positive.\nAnswer: h**(-151\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1\/(-8))\/((-139867)\/(-77168)).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify u**(-22)*u*(u\/((u\/(u*u*u**(-15)*u))\/u))\/u*u assuming u is positive.\nAnswer: u**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = -5*w**2 - 5*w + 3. Let j be c(3). Let x = -37 - j. Solve 3*d + 12 = -2*p + 4*p, 5*d + p + x = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -1321 + 1323. Sort l, -23, 1, -1\/3 in increasing order.\nAnswer: -23, -1\/3, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -13 - -3. Let b be i*2*(-4)\/16. Solve d + d**4 - d**4 - d**b - 2*d**2 + 2*d**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 7 and 4879777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 9063102315.\nAnswer: 3, 5, 19, 31800359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 214, 2.2 in decreasing order.\nAnswer: 214, 3, 2.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express -5 + 3 - 8*s + 2 in the form a*s + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m = -109.9 + 110. Is m at least as big as -2780?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 15834665?\nAnswer: 5, 7, 11, 3739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -32197386.2 rounded to the nearest 100000?\nAnswer: -32200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 21\/325 and (-9)\/(-81)*114*6\/50.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -2\/63 or 5\/1304896?\nAnswer: 5\/1304896","meta":{"dup_signals":{},"source":"comparison__pair_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: Simplify k**(-10\/9)*k\/(k\/(k**2\/k)) assuming k is positive.\nAnswer: k**(-1\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Does 27 divide 629155788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = -6*w**3 - w**2. Let s be v(-1). Let b(u) = u**2 + u + 2. Suppose 28 - 10 = -3*t. Let d be b(t). Solve 0 = s*f + 7 - d for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -151\/2161080 and -41\/24.\nAnswer: 2161080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 102041 - -3?\nAnswer: 102044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q + 0*g = 5*g - 44, 0 = 16*q - 5*g - 176. Solve -9*c - 6 = -q*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 7572*g*z**3 + 10*g*z**2 - 271*g + 2*z**3 + 14774*z**2 + 39*z + 4 with respect to g.\nAnswer: 7572*z**3 + 10*z**2 - 271","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -125 + -5\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -16, -5, 8, 23, 40, 59, 80?\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sum 34321 and 3826995.\nAnswer: 3861316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) be the first derivative of 8*c**4 - c**2\/2 - 412*c - 194. Differentiate i(z) wrt z.\nAnswer: 96*z**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*u - 1015*x - 24 = -1019*x, -2*u + x = 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 6, 36, 94, 186, 318, 496?\nAnswer: 726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10584 = 11*x + 128*x - 104508. What are the prime factors of x?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 53\/4 of a litre?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*n + 147 = 582. What is the lowest common multiple of (-4)\/(-32) - 299\/(-104) - -9 and n?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mmp when three letters picked without replacement from {m: 3, j: 1, p: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) be the first derivative of 64*y**3\/3 - 11*y**2 + 8. What is the second derivative of v(q) wrt q?\nAnswer: 128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -29*b + 22*b = i - 158, -i + 12*b + 66 = 15*b for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 58491?\nAnswer: 3, 67, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 16772 and 14376.\nAnswer: 100632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 110678 is divided by 6510.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -5, -1, 4\/23, -32\/3, -7, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - 2 + 4 - 2*h)*(0 + 1 + 0).\nAnswer: -2*h + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 201001201120 (base 3) in base 16?\nAnswer: 5b9c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + (0 + sqrt(1700) - sqrt(1700))**2 - (-1 + (sqrt(1700) + 4*sqrt(1700))**2) - (1 + sqrt(85)\/(3*sqrt(15)\/sqrt(3))*-5)**2.\nAnswer: -382880\/9 + 10*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s = 5760 + -899. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = -19*j**2 - 10*j + 5. Let c be u(-13). Let x = c + 1426. Let m be 60\/(-1)*x\/18. What is m rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -389.8 + 389.6. Which is the smallest value? (a) p (b) -44 (c) -1\/8 (d) -3\/7 (e) 31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 208248748?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put -0.4, 0.36, 5, -2\/7, -5 in descending order.\nAnswer: 5, 0.36, -2\/7, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) be the second derivative of 164*q**6\/3 - q**3\/6 + 251*q**2\/2 + 2361*q. What is the second derivative of p(v) wrt v?\nAnswer: 19680*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*x**2 + 2*x**2 + 3*x**2)*(3*x**3 + 3*x**3 - 3*x**3) + (4*x**3 + 0*x**3 - 3*x**3)*(x**2 - x**2 - 3*x**2).\nAnswer: 3*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = -r**3 - 4*r**2 - 2*r + 3. Let c be w(-3). Let l be (-3 - c)\/((-3)\/5). Factor 0 + 0*t**3 + 1\/2*t**l - 1\/2*t - t**4 + t**2.\nAnswer: t*(t - 1)**3*(t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 56*c + 1 - 1 - 103*c + 46*c.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 0.5, -1\/3, 3\/11?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*f - 176 = 10*f + 12*f for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort -6, -97, 3, -4, -5, -2.\nAnswer: -97, -6, -5, -4, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b = 940 + -2846\/3. Find the common denominator of -13\/3 and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) be the second derivative of p**4\/6 - 7*p**3\/6 + p**2 - p. Let r be s(5). Let h = r - 12. Solve 12 = h*n + 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = 12*x**3 + 13*x + 3. Let z = -12 + 20. Let u(f) = -35*f**3 - 39*f - 8. Let h(w) = z*j(w) + 3*u(w). What is the second derivative of h(t) wrt t?\nAnswer: -54*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -794566, -3178287, -7151160, -12713185, -19864362, -28604691, -38934172?\nAnswer: -50852805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y = 137.5 - 137. Let s = 5\/6 + -13\/12. What is the closest to 1 in y, -1\/5, s?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 30569 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) be the second derivative of 0*n**2 + 0 + 0*n**6 - 4*n + 1\/14*n**7 + 0*n**5 + 1\/3*n**4 + 0*n**3. Find the third derivative of t(m) wrt m.\nAnswer: 180*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 234 - 37. Does 45 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*w = 5*h - 150026, 87*w + 90026 = 3*h + 82*w. What is the thousands digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 19 + -16. Let g(a) = a - u + 3 - 1 + 0. What is g(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 10864 and 1940.\nAnswer: 54320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = -v. Let n(g) be the second derivative of -17*g**7\/2520 + g**4\/12 - 12*g. Let p(o) be the third derivative of n(o). What is p(k(y))?\nAnswer: -17*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -n = -3*p - 20, -981*p + 2*n + 5*n = -976*p + 60 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = 278*m. Let w(i) = 229584*i. What is q(w(l))?\nAnswer: 63824352*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2032*v**2 + 40*v**3 - 2032*v**2.\nAnswer: 40*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate 28655.7 + -34017.\nAnswer: -5361.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 880 and 4488.\nAnswer: 44880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose m - 33 - 3 = 3*h, -3*m = 9. Let q = -2 - h. Let x = q - -7. Calculate the highest common factor of 162 and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = 1187*v - 165*v + 278*v + 1364*v + 17. Is a(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 2 (b) 7\/37056 (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 14 (b) -11 (c) 59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1183 is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Product of 19 and 39201214.\nAnswer: 744823066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: (6\/2)\/(-6)*(-84)\/(-6)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y be (12\/16)\/(55\/44). Sort -0.2, -330, y in descending order.\nAnswer: y, -0.2, -330","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 410 minutes before 7:04 PM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 37825287 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 348841?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d = -2.1 - -1.6. Let l = -28 + 47. Let p = -35\/2 + l. Which is the second smallest value? (a) d (b) -1 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (14\/2)\/(17\/17). Suppose s + 4*x = -0*s + 21, s - 3*x = l. Let d(w) = 3*w - 32. What are the prime factors of d(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(34)*-3*3)\/(-3*sqrt(162)) + -1 + (-1 + sqrt(425)*-1 + 2)**2.\nAnswer: -29*sqrt(17)\/3 + 425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) be the first derivative of -k**5\/60 - 3*k**4\/8 - 7*k**3\/6 - 53*k**2\/2 + 9. Let f(j) be the second derivative of x(j). Determine f(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 14 - 6.2. Let u = k + -8. Let z = -0.3 - u. What is the second smallest value in -4\/7, z, 0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 23 times -81.39\nAnswer: -1871.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -154 less than -112637?\nAnswer: -112483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 316 - -38?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 75861 to the power of 1\/2, to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 912361543 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*o - 11 + 5. Suppose 0 = -10*b + 40. What is the third derivative of -b*p**2 - 10*p + 26*p**o - 39*p**6 - 56*p**3 + 30*p**3 wrt p?\nAnswer: -4680*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 427801 and 4?\nAnswer: 1711204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n + 5222 = 4*u, -2*n - 1303 = -23*u + 22*u. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -51536801.06 to the nearest one thousand.\nAnswer: -51537000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2 + 1 + (-5 - (2 - 4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 253.1 and 0.2?\nAnswer: 50.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in 4\/3, -2\/17, 2, 3\/8?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q = -2 - -2. Let a(s) = -2 + q - 6 - s**2 - 8*s. List the prime factors of a(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = -9*o**3 - 5*o**2 + 6*o + 6. Let n(m) = -8*m**3 - 4*m**2 + 5*m + 5. Let t = -15 + 10. Calculate t*v(a) + 6*n(a).\nAnswer: -3*a**3 + a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from elggbblfbbblblggf. What is prob of picking 1 e, 1 b, 1 g, and 1 l?\nAnswer: 24\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 16 a factor of (3328\/12)\/((-16)\/(-48))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 9474059 is divided by 631603?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 42948 divided by 6?\nAnswer: 7158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = -q**3 + 5*q**2 + 7*q - 4. Let s = -26 - -24. Let h(x) = 0*x**3 - 15*x + 0*x**3 - 10*x**2 + 9 + 2*x**3. Let b(n) = s*h(n) - 5*j(n). What is b(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 35214, -1\/2, -5\/9, 3, 0 in increasing order.\nAnswer: -5\/9, -1\/2, 0, 3, 35214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate (64\/((-1536)\/60))\/((-3)\/(-2)).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 o and 3 d when four letters picked without replacement from {o: 1, n: 1, d: 7}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -1533*n**2 - 8229?\nAnswer: -3066*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = -1. Let b(o) = -10*o + 11*o - 3*o. Give -b(j) + 2*c(j).\nAnswer: 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 v and 1 u when two letters picked without replacement from hrvhrvhbhvu.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 40*m = -17*m - 779 - 589. Is m smaller than -321\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 273, 553, 835, 1119?\n\"Answer: n**2 + 277*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -5, 2\/13, -3\/10?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = 111*h - 4221. Let n be b(38). Sort 8, n, -4, -8, 4 in decreasing order.\nAnswer: 8, 4, n, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(77) - 1*sqrt(77))*-1)\/(sqrt(84)\/(2*sqrt(12))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = -3*h**4 - 6*h**3 + 12. Let q(o) = 5*o**4 + 11*o**3 - 24. Let i(c) = -11*g(c) - 6*q(c). Differentiate i(u) with respect to u.\nAnswer: 12*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i*i*i**32*i**(-15\/4)*i)\/((i*i**(-19))\/i**(7\/5)) assuming i is positive.\nAnswer: i**(1013\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = 4*x. Let r(h) = -336 - 3*h + 336. What is -4*a(q) - 5*r(q)?\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find a, given that 1922*a**5\/15 + 2294*a**4\/15 - 1532*a**3\/15 - 2276*a**2\/15 - 26*a - 6\/5 = 0.\nAnswer: -1, -3\/31, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = -l**2 - l + 15. Let a be p(0). Solve 3*k + 24 = 4*y, 0 = -6*k + 3*k + y - a for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 627 minutes after 2:26 PM?\nAnswer: 12:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 46217 not equal to 46216?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 313 minutes before 10:19 PM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 47916086683 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**15\/b)\/(((b\/b**(-3\/14))\/b)\/b*b*b) assuming b is positive.\nAnswer: b**(179\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round 1125113.83 to the nearest 1000.\nAnswer: 1125000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 292 minutes after 9:04 PM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**(-3\/5)*u**4*u*u**8*u*u\/(u\/(u**(-1\/6)*u))*u*u)**(-2) assuming u is positive.\nAnswer: u**(-487\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 1940 and 510370?\nAnswer: 99011780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 775352.\nAnswer: 2, 19, 5101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 221 + -4?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence bf when two letters picked without replacement from nbhfp.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) -0.09 (b) -22.5 (c) -4\/11 (d) 3\/5 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence eoe when three letters picked without replacement from ovvovcvcvoceocoecece?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose m = -4*t + 175 - 18, -4*t + 159 = 3*m. Suppose 0*x + 20 = -2*o - 4*x, -28 = 2*o - 4*x. Let h = t - o. 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 next in -84, -152, -208, -246, -260, -244, -192?\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 243804279 to the nearest integer?\nAnswer: 625","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) be the third derivative of q**5\/60 - q**4\/8 - q**3 + 15*q**2. Let y be n(7). Calculate the highest common factor of y and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -28*l**2 + 35*l**2 - 30*l**2 + 19*l**2.\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 9848?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y be 3 - 0 - (-8 - -6). Suppose -y*s = 1 - 51. Solve s*a = 4*a + 30 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*(-2 + -6*(-2 + 3 + sqrt(1008)*-4) + 4))**2.\nAnswer: -36864*sqrt(7) + 9289984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.18 - -4.18. Let d be (-1)\/(-2) - (1 + 0). Let x = 1 + d. What is the closest to x in 3\/5, 5, q?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -15 = 4*i - 5*l, i - 5*l - 3606 + 3621 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*h + 3*o + 1 - 0, 25 = 5*o. Let u be ((12 - 15) + 2)\/(2\/(-18)). Put u, 4, h in increasing order.\nAnswer: h, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -m - 0 - 6. Let d(l) = 2 - 3 - 2*l + 0. What are the prime factors of d(m)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = -l**3 - 2*l**2 + l + 2. Let h(g) = -4*g**3 + 32*g**2 - 34*g + 8. Let y(j) = -h(j) + 3*x(j). Calculate y(37).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) be the second derivative of u**4\/90 + 8*u**3\/45 - 4*u**2\/3 + 83*u. Solve p(x) = 0.\nAnswer: -10, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 + -10 + (4 - -4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = -128*n + 1. Let f be p(-2). Suppose 9*d - 14*d + 760 = 0. Let v = f - d. List the prime factors of v.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1904409 and 4017.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 divided by 135.\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 51.452089 rounded to 1 decimal place?\nAnswer: 51.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 634 minutes after 8:21 PM?\nAnswer: 6:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 4005065084 a multiple of 14852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 132955 is divided by 75?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 63a222a (base 12) to base 14\nAnswer: 271417c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find a such that a**3\/2 + 47*a**2\/10 + 29*a\/5 + 8\/5 = 0.\nAnswer: -8, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s = 555 - 560. Let i(d) = -d**3 + 5*d**2 + 2*d - 5. Let g be i(5). Put -2, s, g in descending order.\nAnswer: g, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/4 in -19, 0.5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/5 in 22, 4, -5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 30 = 16*i - 34. Let z be i*(-3)\/6*-1. Find the first derivative of z*g**2 - 39*g**3 + 985 - 970 - 2*g**2 wrt g.\nAnswer: -117*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-1 + 0 - 3)*(6*g - g - 4*g)*(-3*g - 11*g**2 + 11*g + 12*g**2) to the form z + n*g**3 + c*g**2 + j*g and give c.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -241 or -247?\nAnswer: -247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.026333 weeks to microseconds.\nAnswer: 15926198400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) be the third derivative of 253*h**7\/42 - h**6\/60 - 350*h**3\/3 + 940*h**2. Differentiate d(i) with respect to i.\nAnswer: 5060*i**3 - 6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 5 - 4.97. Let k = -0.019 + b. Let u = k + -0.011134. Round u to 5 decimal places.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f - 4 = -2*p - 0*f, -23 = 2*p + 5*f. Suppose 5 + 1 = -2*w. Which is smaller: p or w?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -14 - -24. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 10\/50 + 128\/10. Let h = g + 25. Calculate the least common multiple of 12 and h.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 - 9 = -7*c. Find the third derivative of 14*h**3 + 13*h**2 + 0*h**c + 5*h**2 wrt h.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a = -2*p - 46, -a - 3*p + 6*p + 13 = 0. Suppose 0 = -8*r + 9*r - a. Let s = -18 + r. Sort 1, -1, s in decreasing order.\nAnswer: 1, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -15 = w - 17 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = -3*p, -2*v - 4*p + 7 = -v. Suppose -v = 3*d - 42. Calculate the common denominator of (d\/(-22))\/(2\/(-20)) and -3\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) be the first derivative of t**3\/3 + 5*t**2\/2 - 3*t + 10. Determine g(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2 + 5 - 13 - 2*u**3 + 0*u**3 to p*u**3 + k*u**2 + z*u + c and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = -d**3 + 9*d**2 - 2*d + 6. Suppose 0 = -4*m + t + 28, -2*t = 3*m - 5*t - 12. Let y be p(m). Suppose 2*v + y - 352 = 0. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 184658 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let g be 12\/(-21)*14\/(-4). Let c(k) = -4*k**2 + 2*k**2 + 2*k**2 + 4*k**g. Let q(d) be the first derivative of -5*d**2\/2 - 1. Calculate q(c(j)).\nAnswer: -20*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 16856 and 1176?\nAnswer: 50568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Work out -146472 - 0.\nAnswer: -146472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 240, 235, 216, 177, 112, 15?\n\"Answer: -f**3 - f**2 + 5*f + 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in 70534, 141059, 211584?\nAnswer: 282109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) be the first derivative of 2*l**3\/3 + 11*l - 6. Let h(d) be the first derivative of n(d). Let t(s) = s + 1 - 1 + 0. What is h(t(v))?\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x be 20*9\/90 - 20\/9. What is the closest to 6 in x, 4\/7, 0.1, 2\/15?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-6)\/33 - 246\/(-22). Solve 4*k + 2*t = -16, k + o = t - 5*t for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -32763.97 - -32764. What is the second smallest value in t, -1, -0.107, 1?\nAnswer: -0.107","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 0.6988 greater than or equal to -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -14266718, -28533437, -42800156, -57066875?\n\"Answer: -14266719*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n be 0 - 4\/(-14)*1. Let j = -1 - -1.2. Suppose 2*x - 6*x + 20 = 0. Which is the third biggest value? (a) n (b) j (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2201222.\nAnswer: 2, 1100611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w = 504 - 503.9771. Let f = 137.0771 + w. Let j = -130 + f. What is j rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g\/g**(5\/4))\/(g**(-8\/7)*g*g)*g**(3\/8)*g*g*g*g\/(g*g**(-6\/11)))**(1\/65) assuming g is positive.\nAnswer: g**(1733\/40040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 158*d = 37*d - 56507. Let h be (-1106)\/(-1)*6\/7. Let a = d + h. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine v, given that -3*v**4 + 19812*v**3 - 31127772*v**2 - 5223235680*v - 208518148800 = 0.\nAnswer: -78, 3380","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 2, 43, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -11 + (8 - (-44 - (2 + -6 - 1))).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = -t**3 + 223*t**2 - 3502*t + 7. Give x(206).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -13 or -53?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -60 + 132 = -9*c - 3*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 1\/6, 0.1, 5, -2\/9 in descending order.\nAnswer: 5, 1\/6, 0.1, -2\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*r - 255 = -5*a, -a + 2*r = a - 106. Let s = -50 + a. Solve s*i + 10 = 2 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 2\/27 or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.03 - 5.03. Let u = h + 3. Let o = 0.1 - 0.1. Sort o, u, 0.1.\nAnswer: u, o, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.0445 - -4.2745. Let p = j + -4.229551. Round p to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) be the second derivative of -3*b + 0*b**3 + 0 - 1\/90*b**6 + 1\/30*b**5 - 1\/36*b**4 + 0*b**2. Factor k(n).\nAnswer: -n**2*(n - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (6220\/74 - (-3024)\/(-55944)) + -7?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from fvvr. What is prob of picking 1 f and 2 v?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put together 414809623835 and -0.07.\nAnswer: 414809623834.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 8 + -26552?\nAnswer: -26544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.4 - 2888555.\nAnswer: -2888555.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 1382419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 358 and 593431898?\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 6016 and 2215.\nAnswer: 13325440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -19*q - 357 = -18*q - 31*t - 5*t, -4*q - 3*t = -42 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*s - 2*s**2 + 0*s)*(-9*s**2 + s**2 - 8*s**2).\nAnswer: 32*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**(-26)\/(l*((l*l*((l**(4\/11)*l)\/l)\/l*l)\/l)\/l))**(5\/4) assuming l is positive.\nAnswer: l**(-1505\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -8*x + 5*x + 9. Calculate the remainder when x - (10\/15 + 65\/(-3)) is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 75679379?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 21\/5 of a millennium in decades?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o be 6\/21 + 57\/21. Let v be (-13)\/39*(-1 - 8). Suppose -3*y - 16 = -7*y. Solve u = -l + 5, o*l + 1 = -v*u + y*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p = -4*o - 4, 3*o - 2*p = -2 - 0. Solve -5*y + 7 = o for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 40200 - (1 - (-5 + 6)). Round d to the nearest 1000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 101\/18 and -50\/63.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/5 in 0.2, 0, -3\/29, 0.5?\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 37296 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is next in -11408, -11412, -11418, -11426, -11436?\nAnswer: -11448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2*(-4 + 1632\/416)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 423 minutes after 4:44 AM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Subtract -9507145 from -0.3.\nAnswer: 9507144.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*f = -9583 + 3697. What are the prime factors of f?\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i*i*(i\/i**(1\/2))\/i)\/i)**(-1\/3)*(i**(3\/8)*i)\/((i*i*i\/(i**(-10)\/i))\/i) assuming i is positive.\nAnswer: i**(-283\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -214748, -216129, -217510, -218891?\nAnswer: -220272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 62850 and 15918.\nAnswer: 166741050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -39\/5 (b) -0.4 (c) -22 (d) 169\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1278 and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1\/2044 - 1075\/108332. Let a = g - -851\/318. Factor 2\/3*w**3 - 8\/3 + 2\/3*w**2 - a*w.\nAnswer: 2*(w - 2)*(w + 1)*(w + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -73\/18 and 91\/9755028.\nAnswer: 9755028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort 6, -8, -4, 3, -12, -7, 0 in increasing order.\nAnswer: -12, -8, -7, -4, 0, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -61 - 2172?\nAnswer: -2253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of (57\/(3420\/4224))\/((-2)\/(-25)) and 18?\nAnswer: 7920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -35947*r**3 + 2*r**2 + 1 - 1 + 235654*r**3.\nAnswer: 199707*r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 9.937678 millilitres?\nAnswer: 0.009937678","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = -2*l**3 - 2*l - 1. What is the tens digit of n(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -2\/605, 1\/3, -12, -0.4?\nAnswer: -2\/605","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r = 2\/10525 - 1568297\/378900. Find the common denominator of -77\/1272 and r.\nAnswer: 3816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -t + 2*t - 2. Let l(m) = -24*m + 144. Let y be l(6). Suppose 3*v = -5*u - y*v + 421, t*u - 160 = -4*v. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y - 3*f = 1 - 2, -5*y = -2*f - 14. Does 4 = y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r**3*r*r**(2\/11)*(r*r**(-2\/5)\/r*r)**(2\/13))\/((r*r*r**3)**(-1))**(6\/5) assuming r is positive.\nAnswer: r**(7346\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**(1\/12)*i**(-2\/17)*i*((i\/(i*i**6*i)*i*i)\/i)**(-35))**(2\/67) assuming i is positive.\nAnswer: i**(43037\/6834)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify u**(-22)*u*u\/(u**14*u) assuming u is positive.\nAnswer: u**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t - 12 = 4*t. Let w(s) = -17269*s**3 - 4*s**2 - 7*s - 2. Let m be w(t). What is m rounded to the nearest 100000?\nAnswer: 3700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 151 or -0.46?\nAnswer: 151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put 0.5, 769, -3, -0.4, 0.1 in descending order.\nAnswer: 769, 0.5, 0.1, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = 4*l - 6*q + 5*q, -16 = -3*l - q. Let d be -5 + (l - (-63)\/35). What is the fourth smallest value in -0.2, 3, -3\/2, d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1.144 take away -3964.67268?\nAnswer: 3965.81668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is (51\/(-17))\/(3\/(-47)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-3*2\/20)\/((-133)\/95))\/((-15026)\/4781)\nAnswer: -3\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -64*d**3 + 293*d**3 + 0*d + 0*d.\nAnswer: 229*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) -2 (b) -30\/20209 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (8 - -24 - -34) + -35.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = 3*q**2 + 141*q + 1501. Calculate the remainder when r(-12) is divided by 169.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-58)\/232 - (-34)\/8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -415 + 861 - 420 + 24*k**2 wrt k.\nAnswer: 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = r**2 - 6*r + 4. Let x be b(6). Let i be (-49)\/2*(-144)\/84. Suppose x*f + 14 = 4*z + i, 3*z = 9. What is the remainder when 29 is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z - 19 = 5*j, -5*z = 2*j - 0 - 5. Let q be (j\/(-20))\/((-33)\/36). Is 0 less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = -j - 1. Let m be b(-1). Suppose -27 = -6*t + 3. Let z = m + t. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 616 and 2408?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) be the second derivative of g**6\/90 - 15*g**5\/4 + 4181*g**4\/12 + 12769*g**3\/18 - g - 69. Let i(y) = 0. What is y?\nAnswer: -1, 0, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hoq when three letters picked without replacement from qqqqqqqqhqqoqqqooqqq.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let -2*w**2 - 2036*w - 2034 = 0. Calculate w.\nAnswer: -1017, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*f**2 - f**2 + 3*f**2 + (3*f + 2*f - 3*f)*(-2 + 4 - 1)*(-2*f + 2*f - 2*f).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 1 + -46 + -3320 + 3327\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) be the first derivative of 5*i**2\/2 - 58. Let w(l) = l. Determine w(p(s)).\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q = 14 + -14.018. Let x = q - -21.018. Let t = x + -21.0000082. Round t to six dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = 10*d + 4. Let v be (1*6\/2)\/(-22 - -21). Give b(v).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -8 + 7. Let y = 53 + 3. Let n = y - 56.3. Is k < n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 42*0.75\nAnswer: 31.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 88686 or 88675?\nAnswer: 88675","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) be the first derivative of -i**6\/180 + i**5\/60 + 2*i**3\/3 + 3. Let s(p) be the third derivative of y(p). What is the second derivative of s(v) wrt v?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**(-1\/5)*s*s)\/(s\/((s*s**3*s)\/s)*s) assuming s is positive.\nAnswer: s**(19\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 180*y - 45 = 189*y. Let x(v) = -v**3 - 5*v**2 + 4. Give x(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = -b**2 + 52*b + 693. Determine o(-11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -157\/6679932 and -7\/2.\nAnswer: 6679932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x + 2*u - 3486 = 0, 14*x - 1738 = 13*x + 4*u. List the prime factors of x.\nAnswer: 2, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) be the second derivative of -8*v**4 - v**3\/6 - 81*v**2\/2 - 62*v. Find the first derivative of z(l) wrt l.\nAnswer: -192*l - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: (-80)\/(-420)*14\/(-12)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = -u**2 + 4*u - 1. Let y be k(5). Calculate the remainder when (9\/y)\/(9\/(-132)) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(270) - sqrt(270))\/sqrt(6) + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from vvvvvvjvvvvj. What is prob of sequence vvjv?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 97 a factor of 8960957?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is -58\/41 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-7772)\/58*(1032\/(-48))\/(-43).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b = 0.73 - 4.73. What is the third biggest value in 5, -1\/3, b, 7\/2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence pfp when three letters picked without replacement from fppfffpffff.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b = -b + 63. Let i be 12\/(-1)*(-7)\/b. Let f = 262 + -262. Solve -10 = -2*l - 2*l + r, f = l + 3*r + i for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 3700 and 606860.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 183646?\nAnswer: 2, 91823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h = -33518 - -33517.5. Sort 87, h, 3\/8.\nAnswer: h, 3\/8, 87","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -17, 2\/19, -0.2, 2\/13?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2816?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*h = -3*h - 1430. Suppose 4*p = 3*w - 4*w + 284, h = w + 5*p. Suppose 0*a + 6*a - w = 0. List the prime factors of a.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in -5, 2, 180296?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + 4*(sqrt(891) - (0 + sqrt(891) + 2 + sqrt(891)) - -6*(sqrt(891) + -1)).\nAnswer: -32 + 180*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6*v**2 + 11*v**2 - 8*v**2 + 8*v**2 - 20*v**2 + 5*v**2.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h - 6*f = -f + 16, h + 3*f - 8 = 0. Let o be (-11)\/((-220)\/h)*10\/4. Solve -o = -n - 6 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = 9*s - 6. Let c(w) = 4*w - 3. Give 5*c(p) - 2*x(p).\nAnswer: 2*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate -24602 divided by -4.\nAnswer: 12301\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -12? (a) -6\/43 (b) 3 (c) 5 (d) 35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 67 minutes before 8:58 AM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a be -1*(6\/(-51) + 10 + (-1420)\/68). Solve 10 = 3*s - l, l - a = -4*s - 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 30 + 16*t**3 - 55*t - 4*t**3 + 15*t**2 + 3*t**3 - 5*t**4 = 0. Calculate t.\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 24*d - 171 = 21*d. What are the prime factors of d?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) be the third derivative of -j**6\/450 - j**5\/300 + 4*j**3\/3 + 7*j**2. Let l(n) be the first derivative of a(n). Suppose l(s) = 0. What is s?\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -585 (base 10) in base 7?\nAnswer: -1464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) = -u**2 + 4*u + 24. Let w be f(6). Let z(s) be the second derivative of s**3\/6 - 4*s**2 - 3*s. Let d be z(w). Put 1, -2, d in decreasing order.\nAnswer: d, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2329, -4655, -6989, -9331, -11681, -14039?\nAnswer: -16405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wuc when three letters picked without replacement from wucuucu?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w - 6 - 2 = 0. Suppose -5*i + 3*j - 6 = 18, -2*i - w*j = -6. Which is the closest to -0.1? (a) -1\/5 (b) -5\/3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1\/4*y**2 - 5\/4*y - 1 = 0. Calculate y.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 925 + 668. What is the highest common factor of 59 and t?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2631*i + 100577 = -65176 for i.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -1098734, -2197486, -3296258, -4395056, -5493886?\n\"Answer: -h**3 - 4*h**2 - 1098733*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) = -4*m**2 + 2*m - 6. Let q(t) = 11*t**2 - 6*t + 17. Let j(p) = 8*n(p) + 3*q(p). Let i be j(-3). Let x = 36 - i. Is 3 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 804 is divided by 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -16, -44, -106, -220, -404?\nAnswer: -676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s = -8 + 7.8. Let o = 1.1 - 1.04. Let d = o - 0.56. What is the third smallest value in s, d, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4119 is divided by 188?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p be 1\/((-5)\/(-10)) - 2. Let b be -3 + -2 + 3 + 18. Let u = b + -11. Solve 3*s - u*o = p, 2*o + 0 - 1 = s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = -o + 12. Let f(h) = 3*h - 2. Let q be f(3). Let w be d(q). What is the second derivative of -2*l - 6*l**5 + 6*l + 2*l**w wrt l?\nAnswer: -80*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 1802, 3619, 5440, 7265, 9094, 10927, 12764?\n\"Answer: 2*x**2 + 1811*x - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 16202933 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = l**3 - 5*l**2 - 2. Let r be p(5). Let y be (-28)\/(-8) + r\/4. What is the third derivative of 3*g**6 + 5*g**2 - y*g**2 - 4*g**6 wrt g?\nAnswer: -120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of f**4*w + 82*f**4 - 3660*f**3*w - 80*f**2*w + 3*w + 18932 wrt f?\nAnswer: 24*f*w + 1968*f - 21960*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = -21*a - 3*a**2 + 21*a + 0*a. Let s(m) = -108*m. Determine s(y(d)).\nAnswer: 324*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*h - 22*v + 10*v = -9*v - 20, -3*h + v - 18 = -v - 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -14, -1 in increasing order.\nAnswer: -14, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate -424982 divided by 74.\nAnswer: -5743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k = -438357741.59817 - -438359605. Let l = -1862.55 + k. Let p = l + -0.85. What is p rounded to 4 decimal places?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:31 AM and 10:14 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = t**2 - 6. Let u = 158 - 156. Let p be ((-10)\/6)\/((-3)\/(-18)). Let r be 0 + u\/p - (-2)\/10. Calculate f(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6586 + 14*r + 6585 + 6587 - 19758.\nAnswer: 14*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c = 594 + -577.16. Round c to 0 dps.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:02 AM and 5:19 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -2 + 0 + 5 - (6 + -1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t = -69 + 69. Suppose t*j = 6*j + 6. Sort -3, -4\/5, j.\nAnswer: -3, j, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 853*n - 1699*n + 78 = 8*v - 843*n, -4*v + 26 = -2*n - 3*n for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -13009 divided by 6?\nAnswer: -13009\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1284 is divided by 256.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-4)\/(-2) + 1 + 1. Suppose -5 - 3 = -c*t. Suppose -2*p = -4*h + 254, 173 = 3*h - 0*h + t*p. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 289 minutes after 1:49 PM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 176484 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*z - 1344 = -z. Let h be 4*-1*(-168)\/z. Let f(y) be the second derivative of y**3\/6 + 3*y**2 - 10*y. Give f(h).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 361*x = -108*x + 31*x + 1780 + 28880 for x.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from uuuuoommo. Give prob of picking 1 o, 2 u, and 1 m.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = -85*a - 5. Let t(h) = h + 1. Calculate -d(m) - 4*t(m).\nAnswer: 81*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -0.6, 4, -0.2, -0.3, -17, 19?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -1f77 - 5?\nAnswer: -1f7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j - 18 = -4*w, 2*j - 5*w = j - 21. Let b = j + 3. Suppose 4*a - 2*g + 0*g = 22, a + 2 = b*g. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = -h**3 - 3*h**2 + 7*h - 19. Suppose 2*r = -11*o - 65, 5*o + 50*r = 49*r - 30. Determine y(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 37318 - 37284.426. Round z to 1 dp.\nAnswer: 33.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -236 - -706\/3. Which is the nearest to -0.18? (a) y (b) -4 (c) -3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = 4*h**3 - h**2 - 3*h + 3. Let g be r(2). Suppose -5*b = -0*b - g. Suppose 0 = -2*w + b + 9. What is the lowest common multiple of 3 and w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = 476*i**2 - 85*i. Let d(z) = 28*z**2 - 6*z + 48. Let b(v) = -85*v**2 + 18*v - 136. Let y(g) = 6*b(g) + 17*d(g). Calculate -6*f(k) - 85*y(k).\nAnswer: 34*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -33 + -37 - (38 + -40)?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = -11*g**2 + 882*g + 56. Calculate j(6).\nAnswer: 4952","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f be 6\/8 + 1\/4. Let l = f + 0. Let w = 0 - 0. Which is bigger: l or w?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (5*y + 0*y - 3*y)*(-62 - 60 + 52) to the form a + s*y and give s.\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.01 + -44.01. Let a = -36 + -13. Let u = a - x. What is the second biggest value in 5, u, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -8 + 219?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 40 divided by -2?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1522 or -842?\nAnswer: -1522","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from sssrscr. What is prob of sequence rcr?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Divide 2 by -86.\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6137*f**3 - 6925*f**3 + 13064*f**3.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*n + 2*n + 56 = 56. Solve 4*z - 5*l + 20 = n, -3*z = -5*l + 52 - 37 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -709, -747, -809, -895?\nAnswer: -1005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Convert -26878 (base 9) to base 10.\nAnswer: -18215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 63 divide 42966?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s = 28 + -24. Calculate the common denominator of 43\/6 and (s\/(-10))\/(4\/(-195)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -135*l**3 + 161*l**2 + 11*l**3 - 115*l**2 + 312*l**2 wrt l.\nAnswer: -744","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7*(-1)\/(-70) + (2 - 262\/20).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -12572572543 less than 1?\nAnswer: 12572572544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = -c**3 - 13*c**2 + 11*c - 14. Let l be -12 - ((-9)\/(-3) - 1). List the prime factors of m(l).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 348204 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sum -0.5 and -6.14268688.\nAnswer: -6.64268688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 10417 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -45526851\/2 or -22763427?\nAnswer: -45526851\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -30517 times 0.15\nAnswer: -4577.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m = -5 + 4.94. Let a = m + 0.06. Is a less than or equal to 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -7 + 5 + (4 - -1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 1824 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 73880943789 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 410576477 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5417?\nAnswer: 5417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is (-525 - 12)*14\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 1196534 times -4\nAnswer: -4786136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -165341, -661362, -1488063, -2645444?\nAnswer: -4133505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 913506327 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -41*h + 97508 = 4*s - 37*h, -h + 73129 = 3*s. Is s a multiple of 119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 6839*-6.15\nAnswer: -42059.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -4302, -8399, -12294, -15987, -19478, -22767, -25854?\nAnswer: -28739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 90, 670, 2240, 5292, 10318, 17810?\nAnswer: 28260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*d**3 + d**3 + d**3)*(d**2 - 4*d**2 - 7*d**2) + d**2 + d**5 - d**2.\nAnswer: -69*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) be the third derivative of -p**7\/840 - p**6\/720 + p**5\/60 - 5*p**4\/24 - 33*p**2. Let i(x) be the second derivative of s(x). Calculate i(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find y, given that 7*y**4\/2 - 1835*y**3 - 14797659*y**2\/2 + 9515285*y - 2114624 = 0.\nAnswer: -1216, 2\/7, 1, 1739","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2711 is divided by 195.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert 94 (base 13) to base 9.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in 0.109, 4, -2\/11, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -23 + (9 - -1) + 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -4.68 less than -1?\nAnswer: 3.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 90.10711 millennia?\nAnswer: 1081285.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {s: 9, c: 11}. What is prob of sequence sc?\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h = -167 + 169. Suppose -318 - 248 = -h*n. What are the prime factors of n?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -10? (a) -5 (b) -24\/223 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-9)\/(-9))\/((-1)\/(-4)). Suppose -h*b + 0*b = -128. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5113533 is divided by 20132.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 19177 + 3*f**2 - 19177.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 3 and 0.114?\nAnswer: 0.342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*k = 2*i - 6, 0*i = -4*i for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 320131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*o + 4*a = 0, o - 3 - 12 = -4*a for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = 10*p - 2. Let g(a) = -a. Let v be 16\/7 - (-6)\/(-21). Suppose 6*u - v*u = -32. Determine u*g(y) - w(y).\nAnswer: -2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = -1. Let l be (-1)\/3 - 2\/(-6). Suppose 0 = 2*c - f - 2, -5*f + 16 = -l*c + 3*c. Suppose o - c = -o. Let s(g) = -g - 3. Calculate o*s(r) - 3*a(r).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f + 2*z - 58 = -6, z = -2. Let h be 4\/f + (-2)\/(-7). Solve h = -2*g + 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = 4*x**2 + 10*x + 113. Is b(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together -676.2 and 0.12949.\nAnswer: -676.07051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3)\/(-6)*(-9)\/(2475\/50).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*s = 3*l - 17, -4*l + s - 6 = 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 83644739 and 43367?\nAnswer: 2551","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in -3\/4, -2\/11, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t be 3 + 2 + -2 + -1. Suppose 7 + 1 = t*r. Factor b**4 + 0*b**3 + b**r - 2*b**3.\nAnswer: 2*b**3*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -357, -713, -1069, -1425, -1781, -2137?\nAnswer: -2493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h = -19 + 21. Let p = 34.13 - 34. Which is the second smallest value? (a) -0.4 (b) 1 (c) p (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from xnnefenfx. Give prob of sequence xnex.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = q**3 - 5*q**2 + 5*q - 2. Let m be k(4). Find the third derivative of -238*g**2 + 109*g**2 + 99*g**m + 19*g**3 wrt g.\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*l + 4*v - 30 = 2*l, -36 = -5*l + v. Calculate the remainder when 302 is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = -3*a**2 - 11 + 4 - 7 + 13*a - 8. Let i(n) = 3*n**2 - 14*n + 23. Let c(g) = 5*i(g) + 4*u(g). Factor c(b).\nAnswer: 3*(b - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = -16*g**3 - 36*g**2 - 19*g + 17. Give m(-5).\nAnswer: 1212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + 3 + 2*l)*(2 + 0 - 4)*(9 - 9 + 3*l + (-2 + 4 + 0)*(-l + 0*l + 2*l)).\nAnswer: -20*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2694186, 5388377, 8082568?\nAnswer: 10776759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -112.25334676 rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = s**3 - 13*s**2 + 38*s - 34. Determine x(9).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 + 2 + -7 + 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence lzg when three letters picked without replacement from {l: 1, z: 4, y: 2, g: 4, n: 3}.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 5 - 509792075050?\nAnswer: -509792075045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 9808853 and 12.\nAnswer: 117706236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 60 minutes after 1:58 AM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r be 24\/7*(736 + -715). Which is greater: r or 18?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 761\/30 - 151\/6. What is the third biggest value in 17, -5, y?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 12 + -7. Suppose 0 = 2*a - c - 3. Solve -a*j + 3 = -5, -1 = -q + 2*j for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6 + -8 - (-90)\/3.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -18 - -16 - (-6 + 4 + 3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j = -5 + 7. Which is the second smallest value? (a) 4 (b) j (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -152 + 228. What are the prime factors of t?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 4655 and 77.\nAnswer: 51205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-108)\/24*8\/(-66).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -9 + (-4 - (-9 - 4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {u: 14, i: 1}. What is prob of sequence iuuu?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q + 197 - 986 = 0. Let g = q + -172. List the prime factors of g.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 23.32 + -23.4. Which is the closest to 0.2? (a) 0.4 (b) x (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h + 277543 = 5*a + 2*h, 2*a - 111010 = 2*h. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 98761388 is divided by 52?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: (13\/26*63\/7)\/(4\/8)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-40)\/8*((-3640)\/400)\/13.\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 496 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 7*t**3*u**2 + 2*t**3*u*z - 140*t**3 - 13*t*u**2*z - 19*t*z**2 wrt z?\nAnswer: 2*t**3*u - 13*t*u**2 - 38*t*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -381642, -5, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1099 is divided by 58.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 33 a factor of 7821?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -43\/704 and 39\/117536.\nAnswer: 2585792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) be the first derivative of k**3\/3 - k**2\/2 + 2*k + 1. Suppose 4*a + a - 10 = 0. What is the remainder when r(a) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*q = n + q + 50, 5*q - 138 = 3*n. Let i = n + 46. Solve -6*t + i = -11*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -53 = 5*y - 2*t, 4*t - 11 = -y - t. Let m(w) = w**2 - 5*w - 8. Let r be m(7). Let g = r - y. Solve 4*o = -2*f + 30, 4*o - 2*f - g = -f for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) be the third derivative of -f**6\/120 + 7*f**5\/60 + 5*f**4\/12 + 13*f**3\/6 + 9*f**2. List the prime factors of p(8).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 16\/3 - 20\/3*v**2 + 32\/3*v.\nAnswer: -4*(v - 2)*(5*v + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*q - 87 = -423. Let n(v) = -q*v - 21*v + 36*v. Let l(m) = 6*m. Calculate l(n(w)).\nAnswer: -162*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort -143.6, 0.3, 4, -5\/4 in descending order.\nAnswer: 4, 0.3, -5\/4, -143.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r = -87 + 216. List the prime factors of r.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -226 (base 8) to base 10\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-6 + 3 + 2)*(7*f + 0*f**2 + 0*f**2 + 2*f**2)*(5*f**2 + 2*f - 2*f) to the form p + z*f + s*f**4 + x*f**3 + a*f**2 and give x.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*z - 19*k + 50*k = 29*k, z - 5*k + 31 = -22*z - 21 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 y, 1 r, and 1 u when three letters picked without replacement from arxyyruxxxr.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-55)\/(99*2\/36)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c = -0.4282 + 6.4282. What is the second biggest value in 5, 4, c, -38, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*z - 2 + 2)*(-6*z + 5*z - z) + (-2 + 2 + z)*(-6*z + z + z) - z**2 + 0*z + 0*z + 1 - z**2 - 1 - z**2 - 4*z**2 - 1 + 0*z**2 - z**2 + 2*z**2 - 2*z**2.\nAnswer: -8*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 84 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 5760704 (base 10) to base 7\nAnswer: 66652025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = 63112*z + 6689881. Calculate u(-106).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*f + 0 - 5 = 0. Is -268*-2*f\/(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) be the first derivative of 12*c**5\/5 - 5*c**4\/2 - 14*c**3\/3 + 5*c**2 + 2*c + 1449. Factor o(z).\nAnswer: 2*(z - 1)**2*(z + 1)*(6*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-21)\/(-84) + 1 + (-33)\/4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: ((-7)\/(-6))\/7 + ((-8169)\/(-504) - 16)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 21222, 51901, 82580, 113259?\n\"Answer: 30679*s - 9457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m = -6 - -4. Suppose 13*j - 36 = -10. Let c be (j + 2 + -2)\/((-44)\/110). Put -10, m, c in increasing order.\nAnswer: -10, c, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*t - o - 383530, 8*t + 2*o = 3*t + 639202. Let i(g) = -g**2 + 127842 - t. Let s(m) = 34*m + 23*m - 10*m. What is i(s(a))?\nAnswer: -2209*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -169462321 and -0.2?\nAnswer: 33892464.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z be (2 - 3)*1*0. Suppose z = -5*s + s. Let m = -3 + 5. Solve s = -3*h - 2*h + 5*c - 5, -c = -m*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 1727 to the nearest 10.\nAnswer: 1730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Subtract -75294451 from -0.22405.\nAnswer: 75294450.77595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:21 PM and 9:38 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -74\/9 and -4\/123?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 7*n + n - 72. Suppose 0 = -3*w + w - 4*x + 4, -3*w = 3*x - n. Suppose -17 = -5*g - o, 3*g - w*o + o = 21. Solve 5 = g*s - 3*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.18553 to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = 1678*o**3 + 2*o**2 - 2*o - 1. Let f be h(1). Suppose -4*b + 2228 = 4*p, -3*b - 3*p + f = 2*p. List the prime factors of b.\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -378 + 23*t + 7*t**2 - 7*t + 3*t - 7*t - 11*t as b + s*t**2 + j*t and give b.\nAnswer: -378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*j**3 - 126*j**2 - 1221*j + 1350 = 0.\nAnswer: -25, -18, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Multiply -1 and -15553.3.\nAnswer: 15553.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate (436\/52)\/(83\/(4316\/8))*-2.\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2732*v + 594*v + 18 + 589*v + 954*v + 596*v + 9 - 27.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-9*j**3 - 6*j**2 + 6*j**2)*(-316*j + 4941 - 4932 + 81*j) to t*j**3 + h*j**4 + i*j + p*j**2 + x and give h.\nAnswer: 2115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in seventy-five halves of a century?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = -2*x**2. Let r(t) be the first derivative of 0*t - 9\/2*t**2 - 89 + 4\/3*t**3. Determine r(a(f)).\nAnswer: 16*f**4 + 18*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 29 a factor of 49728?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence toh when three letters picked without replacement from dovdoddothh?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 8956.165 nanograms?\nAnswer: 8.956165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {l: 1, t: 4, j: 2, i: 3}. What is prob of picking 1 i and 2 j?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -21329 divided by -11?\nAnswer: 1939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f = 83 + -78. Let m = -24\/49 + 67\/637. Let d = m + 49\/26. Put d, f, 3 in descending order.\nAnswer: f, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 4, 202, 2 in descending order.\nAnswer: 202, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1779.5 + 1780. Let t = -0.13 + -0.47. Let n = 2.6 + t. Put n, 5, y, -3\/4 in decreasing order.\nAnswer: 5, n, y, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = d**3 - 2*d**2 + d + 12. Determine u(6).\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.02 - -3.02. Let k = -2122.93 + 2123. Which is the third smallest value? (a) j (b) 1\/16 (c) -3\/7 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0*z**3 - 4*z**3 + 2*z**2 + 1 - z**3 to p + i*z**2 + a*z**3 + j*z and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c\/(c\/c**(-29)*c)*c**(1\/4)*c)\/(c**(-16\/7)*(c**(-23)\/c)\/c) assuming c is positive.\nAnswer: c**(-41\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Does 437 divide 21038455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z*z**(-4))\/z*z\/(z*z*z**0*z)*z*(z\/(z*((z**(2\/7)\/z)\/z)\/z)*z*z)**(9\/4)*((z*z**(3\/2))\/(z*z*z**8*z))\/(z*z**(2\/5)*z**5) assuming z is positive.\nAnswer: z**(-1301\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -335 = -11*m - 49. Let y be 2\/8 - m\/8. Which is the third smallest value? (a) -5\/4 (b) 2 (c) 6 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -19\/48 - -1\/16. Let q(g) = -69*g + 64. Let u be q(2). Let s = 367\/5 + u. Which is the nearest to z? (a) s (b) 0.7 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((4 + (sqrt(1700) - (2 + sqrt(1700))))**2 + 4 + sqrt(1700) + 2*sqrt(1700))*2 + -3 + 4.\nAnswer: 17 + 60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 68688 - 7452?\nAnswer: 61236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 259462 is divided by 259443?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.017 - -5.417. Let q = 10.8 - k. Let w = -5 + q. What is the nearest to 5 in -2, 1\/4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 13 - (1 - (-10 + 4))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 639332094*t**3 - 868102315 wrt t.\nAnswer: 1917996282*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-12 + j**2 - 3*j**2 + 14)*(2*j**2 - 2*j**2 - 2*j**2).\nAnswer: 4*j**4 - 4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -11 + (5 + -7 + 2 - -5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = 38*r**2 - 5*r + 1. Let l(j) = -j**2 + 9*j + 24. Let f be l(11). What is the units digit of t(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -7 - (-6 + 3) - (158 + -90 + 8)?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3116*r**2 - 3980*r**2 + 2*r**3 - 3*r**3 - 3362*r**2 + 1889*r**2 to the form d*r + g + o*r**3 + x*r**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 1176633.44 minus -144.99?\nAnswer: 1176778.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Divide 2 by 171.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 u when three letters picked without replacement from uguuuuuuugg?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:41 AM and 6:10 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*d + 8*d - 140. Let y = 56 - d. Which is bigger: y or 20?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1161.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -28*36\/(324\/(-9))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Are -4\/15 and 305641\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g = -710 + 2153\/3. Let v = -1580112070151\/988902315 - -2\/65926821. Let j = 14434\/9 + v. Calculate the common denominator of j and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -292 - -692. Suppose -428 = -3*t + p. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*i = 20, -5*n - 106*i - 180 = -111*i. Put 4, 35, n in descending order.\nAnswer: 35, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1.5 + 1.4. Let t = -0.14 + s. Let f = t + 0.2400049. What is f rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 3, -137, -7, -95, -2 in decreasing order.\nAnswer: 3, -2, -5, -7, -95, -137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = 3*g**2 + g. Let q be b(-1). Let n be (-5 + 7)\/(2\/6*3). Let x be n\/(((-8)\/2)\/(-8)). Sort 3\/8, 0, q, x.\nAnswer: 0, 3\/8, q, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1210192614 divided by 3?\nAnswer: 403397538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g be 2*5*2\/10. Let n(b) = 3*b**3 - b**2 - 2*b + 1. Determine n(g).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -4 in 3, 1, -0.3, 2\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 182, 737, 1664, 2963, 4634, 6677, 9092?\n\"Answer: 186*z**2 - 3*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = 6*z - 5. Let f(i) = 8*i - 4. Let g(b) = 4*f(b) - 3*k(b). Let y(c) = -44*c + 4. Let r(l) = 10*g(l) + 3*y(l). Determine r(3).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -93\/13 + 7. Let z be (6\/7 - (-3 - -4)) + (-1197)\/(-147). Sort z, t, 3\/5, -2\/15.\nAnswer: t, -2\/15, 3\/5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 636 minutes before 1:15 AM?\nAnswer: 2:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1760 or -3744?\nAnswer: -3744","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -633, -806, -1117, -1566, -2153, -2878, -3741?\nAnswer: -4742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 180035 to the nearest integer?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = -y + 4*t + 2, -6 = -3*t. Let u be 2 + (2\/(-2) - -1). Suppose 12 - 106 = -u*m. What is the remainder when m is divided by y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2106066*a**2 - 2106074*a**2 - 2*a**3 - 3*a**3 - 2106064*a**2 + 8424272*a**2 - 2106068*a**2.\nAnswer: -5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f = 6249567124 + -6249567210.00000162. Let u = -86 - f. What is u rounded to 7 dps?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 67 - -43. Suppose 5*i - p - 110 = 2*p, -2*p = 5*i - y. List the prime factors of 1*i*2\/4.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**(-7)*m*((m*(m**19\/m)\/m)\/m*m)\/m)\/((m\/((m**19\/m)\/m))\/m)**21 assuming m is positive.\nAnswer: m**368","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i = 4*d - 8, -d - 2*i - 13 = 2*i. Let o(z) = -15*z - 13. Let t(x) = 5*x + 4. What is d*t(m) + 2*o(m)?\nAnswer: 5*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -225 (b) 2\/7 (c) 1\/3 (d) -13 (e) 3 (f) -2\/43\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is -113 at least -114?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 3434, 5163, 8046, 12083, 17274, 23619?\n\"Answer: 577*f**2 - 2*f + 2859","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8928 is divided by 4458.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {o: 1, h: 4, r: 3, f: 1, v: 8}. Give prob of picking 1 f, 1 h, and 1 v.\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u*(u**(3\/32)\/u)\/u)**(2\/97)\/(u**(-39)\/u)**(-7\/6) assuming u is positive.\nAnswer: u**(-217367\/4656)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.29 - 46.29. Let p = 45.6 + y. Let u = 4.4 - 4. What is the smallest value in u, p, -1\/7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = -51*k + 308. Let d = 12156 - 12150. Determine i(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1 + -0.95. Let l = y + 1.95. Which is the second smallest value? (a) l (b) 1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {z: 4, n: 11, o: 1, p: 3}. Give prob of sequence po.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate 173 + (-79 - -22) + -58.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r = 125717501\/589608 - -3\/65512. Let l = r - 213. Which is greater: 2\/7 or l?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = 3*b**3 + 3*b**2. Suppose -5*g + 72 - 24 = z, 2*z - 72 = -4*g. Suppose 0 = c - 15*c - z. Calculate v(c).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -5015 + 5147. Solve -73*n = u + 233 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4ba (base 16) in base 2?\nAnswer: 10010111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1726789564?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of (400\/(-18))\/((-72)\/149364)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 354155437 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = -2*o + 48. Let z(n) = 12*n. Determine z(a(r)).\nAnswer: -24*r + 576","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -415.7123*8\nAnswer: -3325.6984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*f - 4*y + 9096 = -0*y, y + 15160 = -5*f. Let s be (-348912)\/198 - 2\/(-11). Let h = s - f. Round h to the nearest 100.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 1392 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 9 or -56?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 746 is divided by 192?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 552242421?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = -g**3 + g**2 - g + 1. Let m = -57 - -53. Let o(x) = -5*x**3 + 4*x**2 - 4*x + 4. What is m*u(t) + o(t)?\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 99947 or 100050?\nAnswer: 99947","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 11, -5, 0.02?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o = -o - 12. Solve x = -o*h, -3*x - x + h = -17 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -94394537, -188789091, -283183643, -377578193, -471972741, -566367287, -660761831?\nAnswer: -755156373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 25424415 - 2?\nAnswer: 25424413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*y + 3*f + 1605, -17*f - 2670 = -5*y - 13*f. Suppose 0 = 2*g - y + 112. What is the tens digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-1 - 0)\/(8\/8). Let v be w + -2 - (4 - 127). What are the prime factors of (1 + 0)*(v + -1)?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find t, given that 5*t**3 - 65*t**2 - 240*t = 0.\nAnswer: -3, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 0.36 (b) 8 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l**12\/(l\/((l*l*l**(2\/9)*l)\/l)))**(-1\/2))**(3\/17) assuming l is positive.\nAnswer: l**(-7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = -1341*g - 6706. Let s be i(-5). Let f(o) be the third derivative of o**5\/60 + 3*o**2. Let m(a) = -5*a**2 - 2*a. Determine s*m(k) - 4*f(k).\nAnswer: k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = 13*c - 45. What is the units digit of r(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 3498096 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: (5\/(-210)*8)\/(2\/(-3))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = -10*t**3 + 4*t**2 + 11*t + 22. Is 22 a factor of m(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 3121 - 2570. Calculate the greatest common factor of 76 and x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 39 minutes before 7:16 PM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort 286, 4, 145 in decreasing order.\nAnswer: 286, 145, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = -6 - 2*v - 2*v**2 - 2*v - 2*v. Let o = -45 + 51. Let p(u) = 6*u**2 + 17*u + 17. Let b(a) = o*p(a) + 17*i(a). Let w(j) = -7*j**2. What is b(w(c))?\nAnswer: 98*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -63, -120, -217, -354, -531, -748, -1005?\n\"Answer: -20*q**2 + 3*q - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = f - 6. Let o be a(6). Let u(s) = 5*s**2 + 27*s + o + 3 + s**3 - 32*s. Let m be u(-6). Sort -1, 5, m in increasing order.\nAnswer: m, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 28.800852 months?\nAnswer: 2.400071","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: ((18\/(-6))\/(-21))\/(8\/252*3)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 3430, 3438, 3468, 3532, 3642, 3810, 4048?\n\"Answer: 2*q**3 - q**2 - 3*q + 3432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u = -26 - -28. Suppose 1 + 3 = u*k. Suppose -x - 5*l = -22, -5*l = -k*x - 2*x - 12. Solve -x*m = 3*m + 15 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 3321131 (base 4) to base 5\nAnswer: 1002330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -91166 or -91165?\nAnswer: -91165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -13 - -330ddab?\nAnswer: 330dd98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 32 = -3*l - 13*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 27\/68360 and -5\/6836.\nAnswer: 68360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 7419131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -11725, -11630, -11535, -11440, -11345?\n\"Answer: 95*i - 11820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from avavvaaaavvvasavta.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-1127)\/(-2415)*(-2)\/(-35)*5. Let -14\/15 - 16\/15*j - m*j**2 = 0. Calculate j.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1 - 34) + 329 + -316 - -1.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -24 or -62?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: (12\/8)\/((-6)\/(-8))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 51 + 331 = -2273*r + 2276*r - 79*b, 3*b = -r + 10 for r.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = r**2 - 1. Let b(m) = -2*m**2 - 4*m + 0*m + 10 - 14*m**2 - 2*m. Let n(h) = b(h) + 6*s(h). Factor n(d).\nAnswer: -2*(d + 1)*(5*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -34099, -33949, -33799?\n\"Answer: 150*m - 34249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*f**2 - 18649886*f + 18649884.\nAnswer: 2*(f - 9324942)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -102, -103, -96, -75, -34, 33?\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in twenty-nine fifths of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 116*c - 134 = -1355 + 475 - 994 for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) be the first derivative of 0*k + 0*k**2 + 0*k**4 + 1\/420*k**7 + 7\/3*k**3 + 0*k**6 + 0*k**5 + 4. Let p(z) be the third derivative of s(z). Factor p(x).\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + sqrt(44)\/sqrt(4) + sqrt(11) - (5 + sqrt(11) + -2))**2.\nAnswer: -4*sqrt(11) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0*(-3)\/(-2)*12\/(-36).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (240*k - 47*k - 56*k)*(-184*k + 538 - 538) to the form u + x*k + r*k**2 and give r.\nAnswer: -25208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2489?\nAnswer: 19, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Divide -7557 by -193.\nAnswer: 7557\/193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-1 - 0) + 2*1. Suppose x = 5*u + 18, 4*x - 2*x = -u + 3. Let m = y + u. Which is the closest to 0? (a) m (b) -5 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify l\/(l**(2\/19)*l)*l*(l\/((l\/((l**(3\/11)\/l)\/l))\/l)*l)\/l*l**(3\/13)\/(l\/l**(-10\/9)) assuming l is positive.\nAnswer: l**(-41885\/24453)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 518.0745 millennia?\nAnswer: 518074.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = 5 + 108. Let y = s + -112.97. What is the second smallest value in y, 0.6, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -13.6 + 13.69. Let i = t - -0.21. Which is smaller: i or 0.33?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1 - -3. Let d = -3.4 + 0.4. Let j = d + p. Which is the third smallest value? (a) 4 (b) -2\/7 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from jeegecbehegbj. What is prob of sequence bh?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o - k - 3*k = 0, -5*o + 9 = -4*k. Let l(h) = h**3 + 2*h**2 - h + 3. Let a be l(-3). Let f be (-4)\/6 - o\/a. Sort 1, 2, f in increasing order.\nAnswer: f, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 2\/259 - 524\/777. Let j = -12.5 - -12. Let a = -1 - -0.9. What is the closest to a in j, l, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 3\/7 in -2, 2\/15, 0.1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -0.3 times 0.0222?\nAnswer: -0.00666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 39 = -3*k + j - 4*j, k + 23 = j. Let a = -33\/1808 + -87965\/34352. What is the common denominator of k and a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = -3*q**2. Let w(o) = 887965*o + 3. Calculate w(d(j)).\nAnswer: -2663895*j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2\/42*6)\/(11\/7).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-4)\/(-1)*45\/20. Let u(c) = -2*c + 3. Let j be u(t). Let f = j + 35. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -20*h - 201 + 81 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 278177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is y in -300*y**4 - 660*y**3 - 423*y**2 - 66*y - 3 = 0?\nAnswer: -1, -1\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = -1352665*o + 45990615. Give q(34).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 13*h + 173235 = 172624 for h.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r + 7*r = 120. What is the smallest common multiple of 12 and r?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:08 AM and 3:20 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = m**3 + 2*m**2 + m - 116. Determine g(4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Work out -75.2 * -23.\nAnswer: 1729.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 22\/(-11)*(-4)\/(-48)*4*-12\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r + r + 1000 = 4*v, -3*v + 2*r + 750 = 0. Is 10 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) be the second derivative of -29*i**4\/6 + i**3\/3 + i**2\/2 - 814*i. Determine q(-1).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:52 AM and 8:08 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 101255204.\nAnswer: 2, 25313801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*w + 4*x + 21 = -19, -x = -4*w - 15 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Does 116 divide 1541450?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 2, -5, -12, -19, -26?\n\"Answer: -7*q + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Are 233559 and 233514 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 9636 and 1012?\nAnswer: 221628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand 619 - 3*s - 170*s**3 - 619 + (0*s**3 + 0*s**3 - s**3)*(-2 - 1 + 1).\nAnswer: -168*s**3 - 3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -2017 (base 8) in base 2?\nAnswer: -10000001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 6\/15 + (-11)\/15\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (0\/(-2))\/((-12)\/(-6)). Let f be (-45)\/(-15)*(-2)\/(-6). Is 1061*(n - f)*-1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 7 - 4. Let b(n) = -n**3 + 7*n**2 - 14*n + 50. Let j be b(6). Solve -j*f - 7 - r = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 6081 and 6?\nAnswer: 12162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ebe when three letters picked without replacement from {e: 3, b: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 24, -4\/5, -5 in decreasing order.\nAnswer: 24, 5, -4\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t = 60 - 54. Let u(f) = -f - 3*f - 4*f + t*f. Let b(i) = -2*i**2. Give b(u(h)).\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1271192518 - 605.5.\nAnswer: 1271191912.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 653*m**2 + 1286*m - 41672804 wrt m?\nAnswer: 1306*m + 1286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 39583 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z**(-4))**12*(z*z\/(z\/(z*(z*z*z**(1\/7))\/z)))**37)**(-16\/9) assuming z is positive.\nAnswer: z**(-7648\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} {"text":"Question: Let o = 267086\/33 + -24280\/3. Factor -o*w**3 + 2*w**2 + 50\/11 - 70\/11*w.\nAnswer: -2*(w - 5)**2*(w - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {g: 2, i: 3, f: 12}. Give prob of picking 2 i.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 22236 a multiple of 204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -115 = -2*a + 3*k, -5*a + 280 + 18 = -4*k. Let v = a + -54. Calculate the lowest common multiple of v and 11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-seven halves of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 176 and ((-44)\/5)\/((-325)\/13000).\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -310497, -310429, -310361?\nAnswer: -310293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = 11*v**2 - 85*v - 2161. Give s(-11).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*(-4*-1*(-1 + sqrt(175)) + 6*(-2 + sqrt(175))*-5 + 4))**2.\nAnswer: -249600*sqrt(7) + 1950400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4448066*-0.2.\nAnswer: -889613.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 327234?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*t = i - 0*i, -4*i - 4*t - 20 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-88)\/(-15) - 26\/(-195).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -68 - -73. Suppose 13 = d*m - 2. Let n = 0 - -2. Solve -m*t = n*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + (((sqrt(833) - (1 + sqrt(833) + -1)) + 3*sqrt(153)*-6)*-2)**2 + 5.\nAnswer: 198295","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((h**(-2)\/h)\/h)\/h)**10)**(-16)\/(((h*(h**(4\/7)*h)\/h)\/h**(5\/3))\/(h**(-1)\/((h\/((h**(-2)*h)\/h))\/h))) assuming h is positive.\nAnswer: h**(16739\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00010803520504 rounded to seven decimal places?\nAnswer: 0.000108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 14*t**2 + t**2 - 4*t + 53*t**3 - 54*t**3 + 3 + 5*t to the form c + k*t**2 + g*t**3 + d*t and give k.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate -110666275*0.5.\nAnswer: -55333137.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = -2*x**2. Suppose -8*h - 2*n - 4 = -4*h, -5*h - 3*n = 3. Let l be (-2 - 1) + h + 10. Let d(o) = -o + l*o - o - o. Give d(v(f)).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p + 7*u = 2*u - 45, 2*u - 24 = -4*p. What are the prime factors of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 140 or 697\/5?\nAnswer: 697\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ooynyonoooo. What is prob of picking 2 o and 1 n?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -58696, -117889, -178068, -239725, -303352?\nAnswer: -369441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -75, -59, 85, 435, 1069?\n\"Answer: 13*k**3 - 14*k**2 - 33*k - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 51, 70, 151, 336, 667, 1186, 1935, 2956?\n\"Answer: 7*w**3 - 11*w**2 + 3*w + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3426 is divided by 73?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v = 8337 - 8335.2. Which is the smallest value? (a) -1 (b) v (c) 27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = -v - 1. Let i(u) = -5. Let x(o) = 7*o**2 + 77*o. Let s be x(-11). Suppose -10*l - 7*l - 17 = s. Calculate l*i(z) + k(z).\nAnswer: -z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-65 - -59)\/(0 - 2)*10. Let h be (-3)\/15 + (-16)\/(-5). Solve -h*w = 3*w - q for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (596\/(-2))\/(2*(-2)\/14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.20741 and -0.3.\nAnswer: -0.062223","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = -o**2 + 9*o + 2. Suppose -2*q + 3*q - 9 = 0. Let i be w(q). Find the second derivative of i*g + 0*g + 8*g**4 + 2*g - 5*g wrt g.\nAnswer: 96*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -15 + 10 - ((-1 - -1) + 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -3.8 times 0.0034\nAnswer: -0.01292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 1012 (base 5) to base 12\nAnswer: b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*t**2\/8 + 15513*t\/2 - 31032.\nAnswer: 3*(t - 4)*(t + 20688)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**1)**(-4\/35)*(s\/(s\/s**(2\/13)))\/(s\/(s\/(s\/((s**(-4)\/s*s)\/s)))) assuming s is positive.\nAnswer: s**(-2712\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = 99*q**2 + 4*q + 5. Let j be g(5). Round j to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = 2*i**2 + 8*i - 14. What is the units digit of z(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2821 + 38*x**2 + 2821)*(5*x - x - 2*x) + 4*x**3 - 6*x**3 + 3*x**3.\nAnswer: 77*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor -i**2\/5 - 6*i\/5 - 9\/5.\nAnswer: -(i + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 21564 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is next in -11323, -22630, -33937, -45244, -56551, -67858?\nAnswer: -79165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) = -6008*m**2. Let i(r) = 112*r**2. Determine i(t(d)).\nAnswer: 4042759168*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = 3025*s + 30. Let a(g) = -22859926*g - 226725. Give 2*a(y) + 15115*d(y).\nAnswer: 3023*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 160449 and 1343.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: (-95)\/(-57)*(-6)\/(-2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 22802?\nAnswer: 2, 13, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 175 is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 0.15, -6, -0.3, -0.22.\nAnswer: -6, -0.3, -0.22, 0.15, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Put 1630, -12, -1366 in ascending order.\nAnswer: -1366, -12, 1630","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m = 9\/247 + -16841\/1235. Is m greater than or equal to -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = -s**2 + 9383*s - 688820. Give r(74).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -86297 divided by 12.\nAnswer: -86297\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 44\/39 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13 + 33 = 4*p. Suppose -z = -2*z + p. Does 2 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 15.2 and 0.0689?\nAnswer: 1.04728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -34*o = -73*o + 84*o - 495 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -30*h + 168 = -23*h. What is the highest common factor of 60 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = 11212688*o - 40292. Let i(d) = 2783*d - 10. Give 20146*i(y) - 5*w(y).\nAnswer: 2878*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r = -4*r + 11*r. Let b(p) = 4*p. Let w be b(r). Solve -4*s + a + 15 = s, -2*s + 4*a + 6 = w for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2769*h**2\/2 + 15309*h - 51273\/2 = 0.\nAnswer: 1899\/923, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 2140 - 313012?\nAnswer: -310652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*z + 1 = q, -14 - 11 = -5*z - 5*q for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b + 27 = 4*o, -5*b - 22 = -7. Suppose 2*x - 341 - 55 = -o*c, -589 = -3*x - 2*c. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 741 and 27601509?\nAnswer: 741","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*((-3 + sqrt(17) + -1*sqrt(425) + sqrt(17) + 5)*3)**2*2.\nAnswer: -14130 + 1080*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r be 2*-2*11\/(-22). Factor x**2 + x - 2*x**r + 9 - x**3 - 8.\nAnswer: -(x - 1)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1.09 - -1. Which is the second smallest value? (a) p (b) 1\/4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 126*j - 1151052 = 84*j. What are the prime factors of j?\nAnswer: 2, 71, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o = 3*b - 0*o - 677, 5*b - o = 1150. Calculate the remainder when b is divided by 41.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-3000)\/((-5000)\/50))\/(36\/(-150)).\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*c = -6*c + 20 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 0.2, 0.5, -1\/3, 219, 0.1, 13?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1429096374 is divided by 875.\nAnswer: 874","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 11937?\nAnswer: 3, 23, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = 2*k**2 - 7*k - 5. List the prime factors of b(7).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 c and 1 q when two letters picked without replacement from {y: 1, c: 1, d: 1, z: 2, u: 1, q: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 57329 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 1383*c*m**3 - 15*c*m**2*q**2 + m**3*q - 21*m**2 - 354*q**2 wrt c.\nAnswer: 1383*m**3 - 15*m**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 18*t + 6 = -38*t - 218 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Divide 3634 by 1772.\nAnswer: 1817\/886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w = 11 - -4. Let p(u) be the second derivative of 2*u**3\/3 - 5*u**2\/2 - 24*u. Let z be p(2). Calculate the greatest common factor of w and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 4218, 4220, 4222, 4224, 4226, 4228?\nAnswer: 4230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q be (16\/(-3))\/(3\/(-9)). Suppose f + 2*z = 4*f - q, 2*f = -3*z - 11. Solve f*y = 4 + 2 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 45802, 45340, 44878, 44416, 43954, 43492?\n\"Answer: -462*w + 46264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*4*(sqrt(5400)\/sqrt(6) + sqrt(9))\/sqrt(3) + 0)**2*-1.\nAnswer: -52272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 88778?\nAnswer: 2, 44389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 = -4*h + 106. Suppose -t = 4, 0*t = -2*i + 2*t + h. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2097? (a) 179 (b) -5 (c) 0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = -2 - 3*j**2 + 2 + 7*j**2 + j**2. Let g(b) = -8*b**2 + 14*b. Let h(m) = -3*m**2 + 5*m. Let x(c) = -5*g(c) + 14*h(c). Give d(x(k)).\nAnswer: 20*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 32*z**5 + 3219024*z**4 + 80932294866*z**3 - 1093151596058*z**2 + 531400791552*z - 65792802816 = 0. What is z?\nAnswer: -50304, 1\/4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h = -89 - -87. Let i be 28\/98*140\/16. What is the closest to 0.1 in h, i, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 1\/(4\/2*-2 + 3). Let a = y + 3. Solve -9*i**3 - 5*i**3 + 0*i**3 - a*i**4 - 8*i**2 + 6*i**3 = 0 for i.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*y = 3*y - 90. What is the remainder when 59 is divided by y?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*y - 3*u = 10*y - 7, 7 = 2*y - 5*u. What is the fourth biggest value in y, 1\/3, 2\/25, 40?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -150 + -22?\nAnswer: -172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in twenty-one fifths of a centimeter?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = c**3 - 8*c**2 + 7*c + 4. Let o be l(7). Suppose -3*w - 9 = -3*m, -o*w - 9 = m - w. Factor -9*k - 2 - 3*k**2 + 14 + m*k.\nAnswer: -3*(k - 1)*(k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11956891 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = r**3 - 88*r**2 + 221*r + 3. Let y(a) = 58*a**2 - 221*a - 4. Calculate 2*i(t) + 3*y(t).\nAnswer: 2*t**3 - 2*t**2 - 221*t - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 23518 and 71623.\nAnswer: 1069","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Product of 5 and -0.0093.\nAnswer: -0.0465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 312*b + 18*b - 16441 = -71*b for b.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 453437 = 6*m + 157115. List the prime factors of m.\nAnswer: 13, 29, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*(-2*(-1 + sqrt(475))**2 + ((-2*sqrt(475) - sqrt(475))*3)**2 - 2*2*(2*sqrt(475))**2)*6.\nAnswer: 120*sqrt(19) + 179538","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0 - 154*c**3 + 0 - 33*c**3.\nAnswer: -187*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express 3488*w**2 - 1 - 4*w**3 - 3*w**4 + 6*w**3 - 3486*w**2 - w**4 + 9*w + 0 in the form p*w**4 + v*w + k*w**3 + o + t*w**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gtk when three letters picked without replacement from kltwvgvt?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3 + (-4 - (-5 + 4 + -5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of -1242*(1552\/(-32) + 7\/1).\nAnswer: 3, 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -75? (a) -1\/5 (b) 1 (c) 1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*a + 9 = 29 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -41\/1356388 and -91\/246616.\nAnswer: 2712776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -0.4 (b) -7 (c) 3\/10 (d) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m + 770001 = -2*m. Let c = 93333 + m. Round c to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 93*p - 2*z = 91*p - 4, -4*z + 7 = -3*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is -132166 greater than -132186?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 13*s**3 + 2*s**3 + 2*s**3 + 7*s**3.\nAnswer: 24*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v + 2*v = -3*w + 329, -2*w + 220 = 2*v. Calculate the greatest common divisor of 148 and w.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 4*a**3 - 68*a**2 + 300*a - 396 = 0. Calculate a.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 7316657 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 89 (b) -1 (c) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8*z - 38*z + 35*z.\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) = -a - 1. Let r(d) = -4*d - 5. Give -3*n(j) + r(j).\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = -7*a**3 - 3*a**2 - 3*a - 3. Let y(v) = -2 - 10*v**3 + 7*v - 9*v + 4*v**3 - 2*v**2. Determine -2*o(h) + 3*y(h).\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -90784387 - -1?\nAnswer: -90784386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = 34*w**2 - 2*w - 3. Determine i(-1).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = h - 25. Suppose 65*y - 8 = 61*y. Let x(d) = 2 - 1 + 4. Let p(g) = y*q(g) + 11*x(g). What is p(4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: (11 - 13 - -12)*15*68\/(-425)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) be the third derivative of -l**8\/1008 - l**7\/1260 + l**6\/180 + l**5\/180 - l**4\/72 - l**3\/36 + 33*l**2. Suppose d(w) = 0. What is w?\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = r**3 + r**2 - 9*r + 12. Let z be q(7). Suppose -8*m + z = -27. Suppose -39*i = -40*i + m. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) be the second derivative of f**4\/12 - f**3\/2 + 5*f**2\/2 - 207*f - 1. Give q(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 378 and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y = -6539 + 6544. Let b(c) be the third derivative of -1\/30*c**6 + 5*c**2 + 0 + 0*c + 1\/6*c**4 + 0*c**y + 0*c**3. Factor b(p).\nAnswer: -4*p*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1391\/2 - 696. Let a = -0.9 - -1. What is the closest to -0.3 in a, 1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = -96 + 5 - 14*a + 5 - 17*a. What is the units digit of f(-17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(117) - (-4*(sqrt(117) - (sqrt(117) + sqrt(117) + (2*sqrt(117) - sqrt(117)))) - sqrt(117)) - sqrt(117) - sqrt(117)*-1*-3)\/(6*sqrt(729)*3).\nAnswer: -5*sqrt(13)\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -10, -55, -122, -205, -298, -395, -490?\nAnswer: -577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (54\/(-120))\/((-27)\/(-225))*(-72)\/60.\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1006?\nAnswer: 2, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = 24*a + 9. Let z(x) = 11*x + 5. Calculate -3*w(k) + 5*z(k).\nAnswer: -17*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-72)\/7*(-3570)\/680. Solve -b = 2*z + 7*z for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 10713.\nAnswer: 3, 3571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (3\/(-2))\/(14\/(-280)*5).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 17 divide 391?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = -z. Let v(o) = 25300497*o**2. Give v(y(g)).\nAnswer: 25300497*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6574 - 6574 + 96*z**2.\nAnswer: 96*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = d + 10 - 4. Let o be (290\/d)\/(12\/(-28)). Let l = -113 + o. Which is smaller: 1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 157404 by -3.\nAnswer: -52468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 419 minutes after 3:41 AM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is (50 - 53) + (-7)\/(-3)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:53 AM and 12:56 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 11571.16 litres?\nAnswer: 11571160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00018332488 rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) 6\/5 (b) 2\/29009 (c) 1 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is next in 100335, 100281, 100227, 100173, 100119, 100065?\nAnswer: 100011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 6\/25 of a millennium?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 56835?\nAnswer: 3, 5, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = q**2 + 80*q - 402. Determine v(5).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = -25*l - 1358. Determine j(-55).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:32 AM and 2:38 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d = 4306 - 4306. Solve -5*l + 8*l - 2*z + 15 = d, 0 = 5*l + 5*z for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v + 5*p - 37 = 0, -3*v - 43 = -0*p - 5*p. Let c be (-4)\/(6\/21*1). Let l be (v\/(-14))\/((-2)\/c). What is the third biggest value in -0.4, 0, l?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1573713.452 rounded to the nearest 100000?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 5489?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 2 divide 4992602?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = -140*f + 1730. Let l be n(-17). Calculate the highest common divisor of l and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.2 - 0.3. Suppose -6*m + 32 = 2*m. Suppose m*f = f. Which is the nearest to -1? (a) f (b) u (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(252) - (sqrt(252)*-1 + sqrt(252))*2) + sqrt(252))\/(sqrt(30)\/(sqrt(5) - sqrt(45))))\/((sqrt(1764) - sqrt(1764)*2)\/(-1*sqrt(24)\/sqrt(4))).\nAnswer: -4*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m = 140 + -127. Suppose 6*v + m*v - 228 = 0. Solve -c + 4 = -l, c + 3*l + v = -4*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 119859 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Does 30 divide 600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*s + 12 + 24. Let i = -16 + s. Find q such that 5\/3*q**4 + 0*q + 0 - 1\/3*q**3 - 1\/3*q**i - q**5 = 0.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:22 PM and 1:51 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: ((30\/(-10))\/(-60))\/((-5)\/10*(-24)\/(-36))\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t = -62 + 57. Let s(f) = -2 + 23*f + 26 - 11 - 4*f**2 + 26. Let j(w) = 3*w**2 - 15*w - 26. Let y(a) = t*s(a) - 7*j(a). What is y(-9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 42734 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y = -3 - -8. Let u(t) = -t**3 + 4*t**2 + 5*t + 5. Let i be u(y). Suppose 4*g - i*g + 10 = 0. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) be the second derivative of -7*h**5\/10 - 150*h**2 - 113*h + 1. Let u(i) be the first derivative of w(i). Let f(v) = 2*v. Calculate f(u(g)).\nAnswer: -84*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 86 + ((-10 - (-9 + -12)) + -9 - (2 - -11)).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) be the third derivative of 0 + 1\/660*u**6 + 0*u + 0*u**4 + 1\/330*u**5 + 0*u**3 + 2*u**2. Suppose a(n) = 0. What is n?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {o: 4}. What is prob of sequence ooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 23041.497 rounded to the nearest 1000?\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) be the second derivative of 0*p**3 + 1\/2*p**2 + 6*p + 0*p**4 + 0 + 0*p**5 - 1\/5*p**6. Differentiate y(q) wrt q.\nAnswer: -24*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 21 divide 847371?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 781443*y**2\/4 - 4688659*y\/4 + 3\/2 = 0. Calculate y.\nAnswer: 1\/781443, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a be (15\/(-9) - -1)*27. Suppose 0 = 4*n + 31 - 11, -3*n = 4*f - 657. What is the units digit of 3*-2*f\/a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (1\/1*36\/72)\/((-2)\/14388). Is f at least -3600?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 89694 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v = 693 - 676. Let y = -35138045.9999995 + 35138063. Let k = y - v. Round k to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Add -49 and 0.090819.\nAnswer: -48.909181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let o = 17 + -16. Let k(t) = 9*t + 4. Let n(i) = 27*i + 11. Let v(g) = -11*k(g) + 4*n(g). Is 9 a factor of v(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(187) - 4*(sqrt(187) + sqrt(187) + (2*sqrt(187) + sqrt(187) - sqrt(187))))\/(sqrt(44)\/(sqrt(20)\/sqrt(5) + sqrt(4)) + sqrt(11) + sqrt(11)).\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 692910 and 1385820?\nAnswer: 1385820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -4 times 67439?\nAnswer: -269756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -8\/27 or -1?\nAnswer: -8\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 45554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c = 26 - 47. Let n = -21.9 - c. Let d = n - -0.4. What is the third biggest value in 4, d, 0.5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*x - a = 15, -2*x + 0 = a - 5. Let l = 18.6 + -19. What is the closest to 2 in l, x, -0.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 345?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -263585 or -263480?\nAnswer: -263480","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) = -2*y - 3*y + 6*y - 1. Let o be w(0). Let c(i) = -1. Let d(q) = -2*q - 9. Let u(x) = o*d(x) + 6*c(x). What is u(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 16 + -33 + (27 - -1).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -c8 (base 16) to base 14\nAnswer: -104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Are -30 and -241\/8 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (439319\/(-161269))\/(1\/(-29))?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 4684\/3 or 1560?\nAnswer: 4684\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 0 + -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6 + 18 + 15*y - 5 - 7.\nAnswer: 15*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 43176167 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + (-1*(sqrt(500) - (sqrt(500) + -1 + sqrt(500))) + 1)**2 + (0 + sqrt(500)*-2 + -4 + sqrt(500) + 5)**2.\nAnswer: -20*sqrt(5) + 1001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Express (-2*o - 2*o + 3*o)*(4 - 5 - 2)*(2 - 4 - 1)*(-432 + 116 + 1878) - 3*o + 2*o + 3*o in the form m*o + k and give m.\nAnswer: -14056","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i be -6 + (-4)\/(-2) + 41. Suppose 18*k - i*k = 19. Is k < 2\/551?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (16\/2 + 2)\/2. Let r(m) = 0*m + 7*m**2 - n*m + m**2 - 4 + 2*m**3. Let z be r(-4). Solve -z = -2*i - 2*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l = 3*j + 3 + 88, l - 33 = -j. Let n = -32 + l. What is the remainder when n is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 261444 a multiple of 181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 2266834?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -i = -0 + 5, -335 = -3*h + i. Suppose 3*r - h = 5*n, -n + 80 = 2*r - 6*n. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*y**2 + 2*y**2 - 2*y**2)*(-526*y**2 - 352*y**2 + 49*y**2) + 3*y**4 - 2*y**4 - 3*y**4 to the form r*y**3 + h*y**2 + s + a*y + m*y**4 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 4 and 129304?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is next in 12168, 48568, 109212, 194100, 303232, 436608?\nAnswer: 594228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h be 10\/(-4)*(1 - (8 - -1)). Let y be (30\/25)\/(3\/h). Find the common denominator of (0 - -18)\/(y\/9) and -71\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*d - 96 = d. What are the prime factors of ((-36)\/(-10))\/(d\/80)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wuw when three letters picked without replacement from {w: 4, u: 15}?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort 4992, -2, -3 in increasing order.\nAnswer: -3, -2, 4992","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 3.179971 nanometers in centimeters?\nAnswer: 0.0000003179971","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = -a**2 - a + 17. Let o be c(3). Let u(i) = 0*i + i + 0*i - 6 + 0. Give u(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 39 = 3*b + 9. Suppose b*v - 8*v - 8 = 0. Suppose 4*m = -v*p + 19 + 5, -4*m = -5*p + 12. Solve -2*q + 6 + m = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2825727880 to the power of 1\/5, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1115384?\nAnswer: 2, 139423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -174*n + 588*n + 6422 + 10552 = 0 for n.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 8449 and 119?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 617 minutes after 4:21 AM?\nAnswer: 2:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {k: 16, a: 2}.\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2018 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = 7*d**3 - 9*d**2 + 8*d - 3. Let f(s) = 6*s**3 - 9*s**2 + 8*s - 4. Let x(r) = -6*f(r) + 5*w(r). Suppose -4*a = 9 - 41. List the prime factors of x(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 430 * -2\nAnswer: -860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n = 17 + -23. Let s(v) = -v**3 - 6*v**2 + 3*v. What is s(n)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -74, -254, -470, -656, -746, -674?\n\"Answer: 11*a**3 - 84*a**2 - 5*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 q and 1 p when two letters picked without replacement from sgqpv?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w = -60 + 92. Let j = 423 + -454. Let v = j + w. Which is the nearest to -2\/5? (a) 3 (b) 1\/4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0, 3\/4, 0.1, -22\/9, 2\/83 in increasing order.\nAnswer: -22\/9, 0, 2\/83, 0.1, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -360\/7? (a) -0.5 (b) 0.3 (c) 2 (d) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sum -1238.2 and 4.5.\nAnswer: -1233.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1094 is divided by 223.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -5448*f + 598 = -2718*f - 2717*f for f.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 1398*z - 1393*z - 2*r + 31 = 0, z + 3*r + 13 = 0 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = -h**3 - 5*h**2 - 34*h - 5. Let b(v) be the second derivative of -v**5\/20 - v**4\/2 - 17*v**3\/3 - 3*v**2 - 8290*v. Determine -5*b(w) + 6*i(w).\nAnswer: -w**3 - 34*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3 - 4 + 0)*(-63*l - l - 32*l)*(2 + 0 + 0) to the form c*l + u and give c.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 24*k - 21*k + 6 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -1766, -3535, -5304?\n\"Answer: -1769*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -24 + 24 + 7 + 1 + -15 + -5?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n**4\/2 - 38796*n**3 - 7489224*n**2 - 388237056*n - 2646455808 = 0. What is n?\nAnswer: -92, -8, 26056","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 227*j**2 - 3*j**3 - 227*j**2 - 1124*j - j**3.\nAnswer: -4*j**3 - 1124*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h = 534 - 525. Suppose 2*j + j - 18 = 0. What is the smallest common multiple of j and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (739*g + 104*g + 460*g)*(-3 + 4 + 2).\nAnswer: 3909*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose a + 22 = 5*m, m + 3 = 4*a - 4. Suppose 0 = -5*g - 20, -p = p + m*g + 6. Find the third derivative of -p*u**4 - u**2 + 7*u**4 + u**5 wrt u.\nAnswer: 60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -426*u**6 - 3*u**2 + 56*u wrt u.\nAnswer: -51120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 71946*h - 71946*h + 8*h**3.\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in one eighteenth of a day?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8*p**3 - 170 + 170.\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -1116973 - 105?\nAnswer: -1117078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 10540390 rounded to the nearest 100000?\nAnswer: 10500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 87 is divided by (20*(-165)\/(-180))\/((-1)\/(-3)).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = -2*s**2 - 102*s - 598. Let y be m(-7). What is the fourth smallest value in 3\/7, -4, y, 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = -19*z**3 - 2*z**2 - 35*z - 120. Let k be j(-3). Calculate the highest common factor of k and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -5*q**4 - 9*q + 5*q**4 - 4*q - 15*q**5 wrt q?\nAnswer: -300*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -246 (base 7) to base 6.\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 80 a factor of 1955845023?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = -19*k - 153. What is c(1)?\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 778817?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = -g**3 + 3*g**2 + 10*g + 2. Let n be f(5). Suppose 0 = 5*r - 4*t - 22, 4 = r + 4*r + n*t. Sort 3, r, -3, 5 in ascending order.\nAnswer: -3, r, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3665078?\nAnswer: 2, 29, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = -l**3 + 7*l**2 + 7*l + 5. Let k be w(-3). Let t = -69 + k. Calculate the remainder when 34 is divided by t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in -11, -3898, 7\/3?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d = 2 + 0. Suppose y + 4 = 0, -y = -d*t - 4*y - 6. Find the first derivative of 0*u**3 - 4*u + t + 4*u - 4*u**3 wrt u.\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ttttt. What is prob of picking 3 t?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate 48 divided by -30.\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:57 PM and 4:16 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round 4.9005 to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 380263 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 116195579 to the nearest integer?\nAnswer: 488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate 233 divided by 143.\nAnswer: 233\/143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*l**4\/5 + 1786826*l**3\/15 + 5162202*l**2\/5 - 98278394*l\/15 + 10324184\/5 = 0 for l.\nAnswer: -13, 1\/3, 4, 297813","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 278350 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand 1 - 16*n**2 + 10*n**2 - 5*n**2 + n - 7*n**2 + 0*n**2 + 5*n**2 - 2*n + 2*n - n**2 + (-3*n - 2*n + 7*n)*(-2*n - 2*n + 6*n).\nAnswer: -10*n**2 + n + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*i - 5*p = 25, -5*i - 5 = 4*p + 21. Let d = i - -17. Calculate the lowest common multiple of 6\/(-12) - 5\/(-2) and d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -867, -748, -553, -282, 65?\nAnswer: 488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 20, 25, 34, 47, 64?\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c = -6 + 11. Suppose v - s = -1 + 2, -4*v + 2 = -c*s. Find the first derivative of 4*m**v - m**3 - 8*m + 8*m - 2 wrt m.\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -343608 by -4.\nAnswer: 85902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = s**2. Let c(t) = 49*t**2 + 191*t. Let w(g) = 88*g**2 + 379*g. Let x(z) = -7*c(z) + 4*w(z). Calculate x(n(f)).\nAnswer: 9*f**4 + 179*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 - (0 + 0 - 3 - 5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -167\/390 and 79\/33?\nAnswer: 4290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v - k = -210, -123*v + 2*k + 140 = -121*v. Calculate the highest common factor of v and 4795.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 6\/(-45)*3*1. Let j = 67 + -27. Suppose -3*o - 19 = h - 0*h, -4*o = 5*h + j. What is the nearest to m in -0.5, h, 3\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = -2*t**2. Let g(z) be the second derivative of z**6\/180 + 5*z**4\/4 - 2*z. Let u(m) be the third derivative of g(m). Calculate j(u(q)).\nAnswer: -32*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 407365?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = -2*c**2 - 4. Let f = -148 - -154. Suppose 7 = -3*n - v, n - 4*v + 30 = f. Let d(p) = 15*p**2 + 27. What is n*d(b) - 27*s(b)?\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 11a30 - -2?\nAnswer: 11a32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence om when two letters picked without replacement from {y: 2, a: 4, o: 8, m: 1}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Does 13 divide 1060?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 828 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -16972*r**2 + 2141 + 9568*r**2 + 9138*r**2 wrt r?\nAnswer: 3468*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -11 - -11. Suppose -10*q + 4*q - 102 = v. Let k = 80 + q. List the prime factors of k.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 88879140 and 105?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*p**2 + 2 - 3*p + 3*p + 4*p**2 - 3*p**2 - 3*p**2 + p**2 - 3*p**2 + 0*p**2 + (-p + p + 2*p)*(2 - 2*p - 2).\nAnswer: -10*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n = -34831811\/384 - -90708. Let w = -115\/539 - -6\/49. What is the common denominator of n and w?\nAnswer: 4224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = 4*k**2 - 90*k - 27. Let f be j(23). Calculate the greatest common divisor of 304 and f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = 9*b. Let z(p) be the second derivative of -17 + 0*p**3 + p - 1\/3*p**4 + 0*p**2. Calculate z(d(r)).\nAnswer: -324*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 287623873.\nAnswer: 9323, 30851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 250*q + 838*q + 1252 - 2498 + 1247.\nAnswer: 1088*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -11*v - v + 5*v. Let k(g) = -2*g + 3*g + v*g. Let c(p) = -7*p + 15*p**2 + 7*p. What is c(k(o))?\nAnswer: 15*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -100010100001 - 1?\nAnswer: -100010100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 488416 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ze when two letters picked without replacement from {z: 5, e: 9}?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 34 + 2?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 0, 61, 208, 483, 928, 1585, 2496, 3703?\nAnswer: 5248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -2, -1892, -30, -194.\nAnswer: -1892, -194, -30, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is next in -271, -538, -805?\nAnswer: -1072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 435 and 52095?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*w**2 + 38048*w - 90478144.\nAnswer: -4*(w - 4756)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -11\/2 (b) 1\/3 (c) 2\/3 (d) 3\/7 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((y*(y\/y**1)\/y)**(-7\/8)*(y**(1\/4)\/y)**(-18))**(1\/26))**(-8) assuming y is positive.\nAnswer: y**(-54\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*s - 195 - 35. Suppose z + 5*u - s = 0, -u = 3*z - 6*u - 138. List the prime factors of z.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3*15\/54 + ((-11)\/(-198)*-86)\/(-2)?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: (-19 + -5)\/(-3) - 945\/105\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/50 of a centimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = -12*n - 3. Let c(z) = -24*z - 7. Let w(o) = 2*c(o) - 5*s(o). Give w(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 3 + 1)*(15*a + 89 - 7*a - 7*a).\nAnswer: -a - 89","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 4*p - 2297 - 3857*p**2 + p - 5*p + 10748*p**2 wrt p?\nAnswer: 13782*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 2 - (25 - 9\/3). What are the prime factors of (-76)\/(-5) - (-4)\/t?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 86*g = 101*g + 6 - 246 for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express 14966*l + 774*l**2 + 14967*l + 14967*l - 2*l**4 + 3 + 2*l**3 - 44898*l as f + m*l**4 + a*l**3 + j*l**2 + y*l and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r be (0 + (-12)\/4)*-32. Suppose 3*w - r = 6. Does 22 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 59790?\nAnswer: 2, 3, 5, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-2)\/(-4) - ((-6)\/4)\/1. Solve -4 = c*w + 6 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence vvvr when four letters picked without replacement from {r: 5, v: 7, u: 1}?\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: (-18 - (12 + -24 - -14)) + (-2 - -6)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -75, -20, 63, 168, 289?\n\"Answer: -s**3 + 20*s**2 + 2*s - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 612 minutes before 2:07 AM?\nAnswer: 3:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify a**(-8)*(a*a**(-2)*a)\/a*((a\/(a\/a**8))\/a)\/((a*a**(-3\/10))\/a) assuming a is positive.\nAnswer: a**(-17\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) be the second derivative of 17*m**5\/2 + 2*m**3\/3 - m**2 - 10*m. Let g = 23 - 20. Let d be l(g). What is d rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 842*i**3 + 842*i**3 + 846*i**3 - 2529*i**3.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-6)\/(-12))\/(2\/77). Let v = -35\/2 + k. What is the common denominator of v and 61\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*s + 10 = -b, 0 = -3*s + 5 - 11 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u be (664 + 2)*20\/640*48. Calculate the highest common divisor of 888 and u.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 2237*y**3 + 49*y**2 wrt y.\nAnswer: 13422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 511.32 rounded to the nearest integer?\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 35 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 12*n*t**6 + 2*n*t**4 + 2*n*t - 5*t**3 + 127*t**2 wrt t?\nAnswer: 1440*n*t**3 + 48*n*t - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*a + 2*a - 3*a)*(-3 + 3 + 1) + a - 2*a + 0*a + (-3*a + 2*a - a)*(2 - 2 + 1) + a + 2 - 2.\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 1277600*-143\nAnswer: -182696800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -1057*i - 40810 = -3388*i + 3479 for i.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) = -55*u - 1277. What is f(-22)?\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*x**2 + 7*x**2 - x**2)*(-x + 2 - 2) + 0 + 0 + x**3.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 538566 to the power of 1\/4, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -6? (a) -4 (b) -5 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 49631364 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 66255797 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 131412 + -131?\nAnswer: 131231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 43443545?\nAnswer: 5, 43, 202063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j = 19 + -13. Suppose 4*y - 2*t = 8*y - 12, 2*y + 4*t = -j. Suppose 9*l - y = 4*l. Calculate the lowest common multiple of l and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) be the second derivative of 2*q**6\/135 - 362*q**5\/45 + 33829*q**4\/27 - 128872*q**3\/9 + 63368*q**2 - 2656*q. Factor s(g).\nAnswer: 4*(g - 178)**2*(g - 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3326384691 minus -0.06345?\nAnswer: 3326384691.06345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-353 + 357)*(-2)\/((-8)\/5). Solve -3*d - 5 = -4*r - 2, 2*d + v*r + 25 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y**3\/7 - 1164*y**2\/7 + 21513*y\/7 + 29808 = 0. What is y?\nAnswer: -7, 27, 368","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:40 AM and 1:20 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-62)\/(-248)*(14\/21 - (-4)\/6). Which is the second smallest value? (a) 1 (b) 46 (c) -0.04 (d) l (e) 0.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (4\/14)\/(3 - 60\/21). Suppose 5*n + 2*r = -8, 2 + 6 = 2*n - b*r. Solve 2*s - s + 2 = n for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0003265870249 rounded to six decimal places?\nAnswer: 0.000327","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 30509 is divided by 424?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 38962 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 v and 1 e when three letters picked without replacement from eevevee?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put -5, -408\/13, -0.4 in ascending order.\nAnswer: -408\/13, -5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 12605?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1755 = -4*g + 2*a - 309, -4*g = 3*a - 1441. What is the hundreds digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -928 - -2860. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -2867, -5716, -8551, -11366, -14155?\n\"Answer: a**3 + a**2 - 2859*a - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + -1*sqrt(1377) + -3 + -4.\nAnswer: -9*sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i = -115 - -118. Let w(o) = -o**3 + 4*o**2 - 4*o. Let k be w(3). Let u = -2.5 + 3. Sort k, i, u in descending order.\nAnswer: i, u, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 100, 0, -4, -5 in ascending order.\nAnswer: -5, -4, 0, 5, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*b + 5*b - 4*b)*(76 - 281 - 48)*(-4*b - b + 3*b).\nAnswer: 506*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4\/(-2)*(-2)\/44?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a - a = -140. What is the greatest common factor of 630 and a?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence jxjx when four letters picked without replacement from gppjjjxjx.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = t**2 - 12*t + 10. Let z be y(8). Let d = -20 - z. Let m be 1*(-1 - 0 - -15). Solve -5*p - d = 5*v - v, 0 = 4*v - p + m for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = 231*v**2 - 10*v + 31. Is j(3) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:35 AM and 8:34 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -3653, -3709, -3815, -3977, -4201?\n\"Answer: -y**3 - 19*y**2 + 8*y - 3641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r = 183 + -180. What is the second derivative of 52*a**2 + 95*a**2 + 12 - 1 - r*a - 61*a**2 wrt a?\nAnswer: 172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i + 187 = 319. Let k be i\/1023 + (-246)\/(-31). Let d(x) = 2*x - 8. Calculate d(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*o + 3*z - 11, -3*z = -3*o + 4*o - 5 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 0.1 or 2608.01?\nAnswer: 2608.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 3? (a) -0.4 (b) 4 (c) 0.4 (d) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-208132)\/(-34080) + -1 - 4\/(-6). Let v = 627\/142 - j. Find the common denominator of 26\/5 and v.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 2643, 5294, 7945, 10596?\n\"Answer: 2651*z - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -a**4 - 17*a**3 + 15*a**3 + 8*a**4 - 2 to m + p*a**3 + n*a + t*a**4 + x*a**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x = 25 + -17. Let p be x\/6*(248 + -8). Suppose 3*u = -u + p. What is the highest common factor of u and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 311 divide 1124366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 183931 a multiple of 253?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.514 and 3.\nAnswer: 1.542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -15 in 1\/84, -725, 1?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -44, -45, -46, -47?\n\"Answer: -y - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g = -41 - -61. Let d = 34 + g. Let y = d - 54.0066. What is y rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of -2*(-5)\/5*2287.\nAnswer: 2, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k + 67 = -205. Is k a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 5 + 0 + (-5 - -6 - (-6 - 1))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 729 is divided by 35.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h*(h**(4\/5)\/h)\/h)\/h)**(-3\/2)\/(h*h\/(h\/h**(-1\/2))*h*h*h**(1\/29)) assuming h is positive.\nAnswer: h**(-213\/290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = -2*x + 7. Let a be (-24)\/(-8) + 8*1. Suppose -3*i + a = -2*u, 0 + 4 = 2*u. What is f(i)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 6012 and 10245951.\nAnswer: 1503","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4*(-9 - (-980)\/80)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = -2*v - 6. Let w be q(-6). Let r be (0\/(-3))\/((-1)\/1). Solve -2*d - x - 6 = r, -d - 2*x - 3*x = -w for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 23585*n - 1446*n - 72317 = 348324 for n.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*x = 5, 2*k = -2*k + 4*x + 68. Suppose -11*o + 6*o = -155. What is the remainder when o is divided by k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -2\/17, -3\/4, 1\/3?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = 6*n + 9. Let u be 1\/3 + (-110)\/15. Let v(m) = -3*m - 4. Let i(k) = u*v(k) - 3*g(k). Determine i(-7).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 164 = 4*v - 4*i, -5*v + 3*i = 4*i - 193. What is the common denominator of -59\/4 and v*6\/20*(-8)\/(-12)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = -7*n**3 - 2085*n**2 + 302*n + 1221. What is z(-298)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m - 19837 = -6*m - 4*a, -5*a = -4*m + 26408. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = -12*o + 3 - 12*o + 20*o. Let s be 0 + 1 - (6 + -1). What are the prime factors of m(s)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*a - 28 = -4*t, -2*a + 5*t + 1943 = 1879 for a.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.127548 + 0.0992.\nAnswer: -0.028348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n + 7 + 13 = 0. Suppose 81 = -b + n*b. Is b\/(-45)*29*-5 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 97 = 4*x - 5*f, 3*x - 40 = 4*f + 33. Differentiate x*l**2 + 25*l**2 + 21 + 23*l**2 - 64*l**2 with respect to l.\nAnswer: 14*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -78, 3, -24436.\nAnswer: -24436, -78, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 6162401?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -232 = 11*x - 15*x. Suppose 5*t + x = 68. Solve 0*l = -3*z - t*l - 16, 3*l - 10 = 4*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-2)\/(-130)*(-101)\/(-7). Let o be (-279)\/273 - 1 - -2. Let u = o + x. Is u less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 73 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 16289690?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-38*k + 11*k - 5*k)*(-300896*k + 301603*k - 2 + 4 - 2) to f + i*k + v*k**2 and give v.\nAnswer: -22624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000005329 to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 2101 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k = 15 - 24.9. Let o = 0.1 - k. Let j = 0.5 - o. Round j to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose g = -5*b + 2234, 508*b - 510*b = -8. Is 9 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 27730151 or 27730152?\nAnswer: 27730152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) 3 (c) 2 (d) -101\/6 (e) 11 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 2 - 2)*(1 + 0 + 8)*(5*b - 4*b - 2*b).\nAnswer: 36*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*m - 3 + 12 = 2*z, -14*z + 6 = -2*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -29 - 4 - (22 + (-6 - 27))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 21\/5 of a gram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 430 minutes after 9:08 AM?\nAnswer: 4:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1364 and 589?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000002256 rounded to 7 dps?\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 42*a - 56 = 35*a. Suppose -a*x + 409 = -319. Is x a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 986.674 kilometers?\nAnswer: 986674000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 49*h - 99 = -344 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -229 + 226 = 3*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 18079769?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 53543332 and 18.\nAnswer: 481889988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:05 AM and 9:57 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Does 1231 divide 3567777756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:03 PM and 3:53 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = 17*g. Let b(o) be the first derivative of 2*o**2 - 1. Let u(d) = 9*b(d) - 2*s(d). Let p(j) = 5*j. Give p(u(v)).\nAnswer: 10*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -21*w - 13 - 1 - 49 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 1724679 and 291.13816?\nAnswer: 1724387.86184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) be the first derivative of 78*f**5 + f**4\/4 + 43*f**3 + 467. Find the third derivative of c(g) wrt g.\nAnswer: 9360*g + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 390152?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1556 - 638. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -8*f**3 + 12*f**3 + 16*f**3 - f**3 + f**3 - 10*f**3 - 3 + 3 - f**3 - 3*f**2 + 3*f**2 - f**3 + (2*f**3 - 4*f**3 + f**3)*(4 + 0 - 2).\nAnswer: 6*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 988 = 404*f - 1808 + 372 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2726*-1.5.\nAnswer: -4089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = -g**3 - 12*g**2 - 9*g + 4. Let y = -226 + 215. Calculate q(y).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) be the third derivative of -i**5\/60 + 7*i**4\/24 + 73*i**3\/2 - 18*i**2. What is the units digit of v(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = -6*p**2 - 16*p**2 + 5*p**2 - 23*p**2. Let d(n) = 5*n**2. Give 25*d(x) + 3*g(x).\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (119 + 9*i - 119)*(0*i - 3*i + 5*i)*(-2*i + 1 - 2 + 4).\nAnswer: -36*i**3 + 54*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 r when four letters picked without replacement from {m: 5, r: 14}?\nAnswer: 1001\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k*k**(-8)*k)\/(k\/k**(-3\/10)))\/(k**7*k*k\/(k*k\/(k*(k\/(k*k\/(k*k*k*k**(-7\/2)*k))*k)\/k*k))) assuming k is positive.\nAnswer: k**(-79\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -1936*z**2 - 1865 wrt z.\nAnswer: -3872*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -0.5765907209 rounded to 3 dps?\nAnswer: -0.577","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 433 is divided by 241.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort -7\/4, -1657, 0.2, 0.\nAnswer: -1657, -7\/4, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 1.13025, 5, 0.0488?\nAnswer: 1.13025","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put -1, -0.3, 6\/11, 1.6, 2, 4.69 in descending order.\nAnswer: 4.69, 2, 1.6, 6\/11, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1080, 2548, 4016, 5484?\nAnswer: 6952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 l, 1 j, and 1 a when three letters picked without replacement from aaalahjaahyh.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 909619005.\nAnswer: 3, 5, 2309, 26263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express (-4 - 2 + 4)*(1 + 1 - 4)*(10*x**4 + x**4 + 10*x**4) as f*x**2 + y*x**3 + k*x**4 + b*x + h and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 4513663 and 70301.\nAnswer: 847","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = r - 8. Calculate c(12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express 0*y - 8*y**2 + 3*y**2 + 3*y**2 + 3*y - 6*y**3 in the form n*y**3 + m*y**2 + c + d*y and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Convert 6 (base 12) to base 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) be the second derivative of k**4\/12 + 5*k**3\/6 + k**2\/2 + k. Let x = -9 + 9. Let p be -2 + -1 + x + 1. Give f(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 + 2 - 5)*(-u + u - 2*u)*(-u + 3*u + 0*u)*(-2 + 3 + 0).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x = 12.2886 - 178.1656. Let h = -166 - x. Round h to 2 decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3574.395 rounded to the nearest ten?\nAnswer: 3570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z = -169025\/38279759 + -3\/21787. Let f = 166979\/14056 + z. Find the common denominator of -15 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 34*x**2*y**3 + x**2*y**2 + 5985*x**2*y + 3*x**2 - 33*x - 30828*y**3 wrt x.\nAnswer: 68*y**3 + 2*y**2 + 11970*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*t - 39 = -5*a, 2*a - 18*t + 4 = -16*t for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Determine s so that 68*s**2\/5 - 12*s = 0.\nAnswer: 0, 15\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:27 AM and 7:10 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g*g**(-1\/3)\/g*g*g**(-15)*g*g)**(-15\/4)*(g**(-2)*g**(1\/15)*g)**5 assuming g is positive.\nAnswer: g**(499\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*p + 0*p - 2*p)*(0*p**4 + 5*p**4 - 3*p**4 + (-p**3 + 0*p**3 + 2*p**3)*(1 - p - 1) + 2*p**4 + 4 - 4 + 2194*p**4 + 3724*p**4 + 2036*p**4 + 967*p**4).\nAnswer: 17848*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -39233155 times -0.5\nAnswer: 19616577.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 3448 and 9051?\nAnswer: 72408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) be the first derivative of -7*m**5\/60 - m**4\/24 + m**2\/2 + 1. Let k(b) be the second derivative of o(b). Let q be (1 - -2)*(9\/81*-6)\/2. Give k(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) be the second derivative of -s**7\/2520 - s**6\/360 - s**5\/120 - 2*s**4\/3 - 2*s. Let i(z) be the third derivative of k(z). Determine t so that i(t) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4382216, -2, 55 in decreasing order.\nAnswer: 55, -2, -4382216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 697 minutes after 12:06 PM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand -171*r**5 + 140*r**5 - 4*r**2 + 3*r**2 + (0*r**4 + 2*r**4 + 0*r**4)*(-2*r - r + 2*r).\nAnswer: -33*r**5 - r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many millennia are there in 518117.9 years?\nAnswer: 518.1179","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z = 15, 259 + 140 = 5*g + 3*z. Calculate the remainder when 219 is divided by g.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v - 43 + 31 = 0. Let s(z) be the third derivative of -4*z**2 + 1\/18*z**v + 1\/36*z**4 + 0 + 1\/180*z**5 + 0*z. Factor s(j).\nAnswer: (j + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = 35*q**3 - 6*q**2 + 6*q - 10. Let k(i) = 34*i**3 - 5*i**2 + 5*i - 9. Let o(h) = -5*f(h) + 6*k(h). Find the first derivative of o(g) wrt g.\nAnswer: 87*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g - 7 + 67 = 0. Calculate the smallest common multiple of 2 and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 81\/5 + -49\/3. Let z = 0.2 - -0.3. Let x = 0.2 - z. Sort x, c, -1 in increasing order.\nAnswer: -1, x, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from ooobbbobbobo.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is (-12)\/(-9) - 0*4\/(-20)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 116800 divided by -9.\nAnswer: -116800\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 44\/5 of a microgram?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from cczzzzzzzzzzczcczzz. Give prob of picking 3 c.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let -9*q**4 + 179273*q**3 + 139496*q**2 - 1115532*q + 239040 = 0. Calculate q.\nAnswer: -3, 2\/9, 2, 19920","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = i**3 - 9*i**2 + 10*i + 10. Let j be x(6). Let d = -30 - j. Find the second derivative of -2*a**3 + 4*a**3 - 2*a**3 - 18*a - d*a**3 wrt a.\nAnswer: -48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(612) + -5)*5 + (-3*(sqrt(272) + 1 + sqrt(1088) + -1))**2 + 4.\nAnswer: 30*sqrt(17) + 22011","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d\/d**2)**(-26))**(-1\/47)\/((((d\/d**4)\/d)\/d)\/d**(2\/27))**46 assuming d is positive.\nAnswer: d**(295492\/1269)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 44250, 45848, 47446, 49044, 50642?\n\"Answer: 1598*x + 42652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 11918573 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 272 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: Let n(d) = 2*d - 21. Let c be n(7). List the prime factors of (106\/6)\/(c\/(-21)).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/2? (a) 0 (b) -18 (c) 16.9 (d) -949\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 0.6 not equal to -92841?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.07*52655.\nAnswer: -3685.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x = 70079 - 137769. What is x rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/12? (a) -1\/3 (b) -168 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 8\/(-6)*(((-9750)\/20)\/(-13) - (-6)\/(-4))\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: (-5)\/1*(48\/(-30))\/(-4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 3162 and 183396.\nAnswer: 183396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = 35*p**3 - 2*p**2. Suppose 0 = -16*q - 50989 + 51021. Let h(t) = 351*t**3 - 21*t**2. Determine q*h(x) - 21*b(x).\nAnswer: -33*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**(-20)\/p*p)\/p**3*p**(3\/5)*p*p\/(p*p\/p**(-1\/5))*p assuming p is positive.\nAnswer: p**(-108\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.53 - -148.47. Let q = 148 - g. Let s = -4 + 9. Which is the nearest to -1\/3? (a) q (b) s (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) be the third derivative of a**4\/24 - 64*a**3 + 18*a**2. Let g(b) = b. What is o(g(l))?\nAnswer: l - 384","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w = 153 + -150. Factor -k**2 + 7*k**2 + 3354*k - 3350*k + 2*k**w.\nAnswer: 2*k*(k + 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(68) + -5)*6 - (3*1*sqrt(136))\/sqrt(8).\nAnswer: -30 + 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -4629*p**2*y**2 - 144*p**2*y - 5*p*y**2 + 24*p + 55*y**2 wrt p?\nAnswer: -9258*y**2 - 288*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 121536529?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = 123*j**2 - 4*j - 3. Calculate w(-1).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -27*u - 73022 = 3*u - 431912. Is u a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 423275941 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l\/(l*l**(-1\/8)\/l))\/l**(2\/31))\/(((l*l**(-5\/6))\/l*l)\/(l*l*l*l**(2\/19)\/l)) assuming l is positive.\nAnswer: l**(42395\/14136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 divided by 11107.\nAnswer: -2\/11107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = -8*p + 1. Let m(y) = 9*y - 2. Suppose -74 - 26 = 20*u. Give u*m(h) - 6*q(h).\nAnswer: 3*h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 536813 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) = 3*r**3 - 8*r**2 + 8. Let q = -72 - -74. Let y(l) = l**3 + 4 - 35*l - 1 - 3*l**q + 35*l. Determine 8*y(n) - 3*z(n).\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g - 7 - 8 = 5*r, 25 = 5*g. Suppose -1 = i - 0. Let o be (6\/r - i)*3. Are -1 and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 4 in -2\/5, -3, -4, -2, 3\/365, 94?\nAnswer: 3\/365","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 2913\/102103 or -1?\nAnswer: 2913\/102103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n = -3794 - -53143\/14. Which is greater: n or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) be the third derivative of i**5\/60 + i**4\/12 - i**3\/6 - 5*i**2. Let p be k(1). Let g be 2\/7 + 33\/7. Solve -3 = -p*w + g*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 0.3, -0.03, 2\/7, -1\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 119? (a) 5 (b) 0.3 (c) -1 (d) -0.12 (e) -8\/35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 287*y + 768 = -954 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -243, 0.3, -2\/37 in increasing order.\nAnswer: -243, -2, -2\/37, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -0.8*1.89\nAnswer: -1.512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 46829223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x - 4*x + 5 = 0. Suppose -8*c = -54 + 4574. Let l = 565 + c. Solve -y = 2*n - 2 - x, n - 3*y + 9 = l for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = -3*m**2 - 53*m + 24. Let q be h(-18). Let i(k) = 2*k - 6. What is i(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in fifty-nine fifths of a meter?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -1 (b) -16\/39 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 4 in -0.5, -833, 119, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 2, p: 1, g: 1, t: 1, y: 2, i: 1}. Give prob of picking 1 t and 1 y.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Does 414 divide 20009862?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -2520 times -0.8\nAnswer: 2016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 15*f**3\/2 - 42*f**2 + 123*f\/2 - 27 = 0 for f.\nAnswer: 1, 18\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -84949 or -84947?\nAnswer: -84949","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 2002 - 7.9677016114\nAnswer: 1994.0322983886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 2522458 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = -g**2 + 10*g - 4. Let n be p(9). Suppose 3*j - 2*y - 24 = -10, n*j + 4*y = 60. Solve -2*o + 2*z = 8, -2*z = o + z - j for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 33 - (-17 + (22 - -24)) - (0 + (-120 - 1)).\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 8252662.\nAnswer: 2, 11, 375121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*b + 9*b = -j + 6, 5*b - 3*j = 26. Solve -b*w + 4 = -5*l, -2*l - 3*l + 2*w - 12 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = y**2 - 2*y - 5. Let f be a(4). Suppose -d = f*n - 14, -3*n - 3*d + 18 = -0*d. Solve 4*g + 1 = 5*r, -3*g - 32 = 2*g + n*r for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) be the first derivative of 3*t**2 - 2*t + 11. Let r be n(-10). Let c = -36 - r. What is the highest common divisor of c and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 571376, 1142745, 1714114?\nAnswer: 2285483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -152038 divided by 1123\nAnswer: -152038\/1123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) be the second derivative of -v**4\/84 + v**3\/14 - v**2\/7 + 175*v. Let u(j) = 0. Calculate j.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = -175*j + 2279. Let f be k(13). What is the smallest value in 2\/7, 1.2, f?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -4.5 - 0.5. Let i = g + 5.54. Let y = i - -2.56. Round y to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -1338.37590053 + 1338.2859. Let f = 0.09 + r. What is f rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -0.5 (b) -2\/7 (c) 10\/13 (d) -133.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -1 (base 12) in base 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = 6*l - 4. Suppose 0 = r + l*h + 143, 3*r + 206 = h - 202. Let j = 232 + r. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -9837 + 31837. What is i rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -4 - 16?\nAnswer: -1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 33798*m - 33796*m = u + 56 + 2, -3*m + 96 = 3*u for m.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s = -172349\/87 - -1981. Let w be (-9 - -11) + 8*(-6)\/30. Which is smaller: s or w?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -6834, -55011, -185758, -440361, -860106, -1486279, -2360166, -3523053?\n\"Answer: -6881*x**3 + x**2 - 13*x + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 229*d - 4272 - 3836 = 4165 - 4487 for d.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = 2*b - 12. Let c be h(8). Let o(p) = -c + 5*p - 5*p - p. Let l be 6\/(-2)*(0 + 5\/(-3)). What is o(l)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = 2*i**2 - 6*i + 5. Let w be o(3). Which is greater: 18\/5 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*q - 1 + 9. Let r be ((-24)\/18)\/(q\/3). Suppose -2*o = 4*g - 12, r*o = g - 2*g. Sort -2, -1, g in decreasing order.\nAnswer: g, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11060451 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 7 a factor of 36085?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 255 (base 9) in base 4?\nAnswer: 3110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.4 + -0.5. Let i = -36 + 31. What is the closest to 0.2 in r, -2, i?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose o = 2*o - 36. Let l = 153 - o. Let w be (l + 3)\/(6\/440000). Round w to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*o + 1073 - 1073.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -38117 and 0.0076?\nAnswer: -289.6892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j = -11 + -43. Let o = -143\/3 - j. Suppose -2*z - 5 = -5*d - 44, 5*z - 50 = 3*d. Is o <= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 1134896018?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express -537*m - 517*m - 2017*m in the form x*m + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 2579973559 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n - 2*b + 4 = 0, -3*n + 5*b - 16 = -0*b. What is the remainder when 28 is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -2 and 35.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a**(1\/4)*a)\/a)**(-1\/15)\/(a**(-1)*a\/a**6) assuming a is positive.\nAnswer: a**(359\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 48641 and 1532.\nAnswer: 194564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t = -5 - 1. Sort 0, t, 4.\nAnswer: t, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-2)\/((-3 - (-141)\/45)*-3). Suppose -2*y + 10 = 3*l, 0*l - w*l = 4*y - 18. Factor 3*u + 6 - 2*u**2 + l*u + 10 - u.\nAnswer: -2*(u - 4)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1 + sqrt(1216) + -2 + -2*-1*sqrt(1216))*1)**2.\nAnswer: -48*sqrt(19) + 10945","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-3)\/12)\/((-5 + 0)\/20). Let r be 3 - ((-1)\/1 + i + 3). Suppose r*y - 72 = 12*y. Let h(l) = l**2 + 7*l + 6. What is h(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: (5644\/(-47974))\/(6\/357)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -234, -550, -1076, -1812?\n\"Answer: -105*y**2 - y - 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 11396 is divided by 38.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n = 329 - -733. What are the prime factors of n?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 9138, 18250, 27362, 36474, 45586?\nAnswer: 54698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 528 and 12?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 34 - -60 - -21 - 18?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 278368 = 2*t + 2*y, -147065 + 703780 = 4*t - 3*y. Suppose -145*f = -138*f - t. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1131 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-4 - (-75)\/10)\/(2\/24). Let p = 52 - a. Suppose 3*g + 1 - 13 = 0. Calculate the remainder when p is divided by g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -373 - -375. Solve w + 8 = -2*c, -3 - 11 = -2*w + b*c for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = -v**2 - 17*v - 18. What is w(-15)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in 18, 2\/7, 1, 3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d = 61 - 53. Suppose m + 5*b = -5 - 0, -4*b - 4 = -4*m. Solve m*c = -d*c - 24 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 6 + -2 + (-119)\/28. Which is the biggest value? (a) q (b) 0.1 (c) -2 (d) 42\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 247 is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 21 - 2 - -12 - 6?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c - 3*c + 128 = 0. Let p = c + 32. Suppose -10 = -2*a + 2*g, -2*a - 2*a + 26 = -2*g. What is the highest common divisor of p and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -736813 + 736813 - 50*m**2.\nAnswer: -50*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y = 170 - 128. Suppose 0 = 3*d + 3*j - y, 5*j = 4*d + 6*j - 41. Calculate the highest common divisor of d and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 2712904 and 6443147?\nAnswer: 51545176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*x - 16 = -18*x + 4*m, x = 3*m + 8. Let c be (-2 - -3)\/(2\/(-30)). What are the prime factors of (x\/6)\/(c\/(-1035))?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*w + 10*w = 0. Let t = -0.5 - -0.3. Sort w, 3\/4, t in descending order.\nAnswer: 3\/4, w, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 44010 by -135.\nAnswer: -326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert 11110011111001101 (base 2) to base 13.\nAnswer: 44abc","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} {"text":"Question: Let w = 351 - 1752\/5. Let n(o) be the first derivative of w*o**5 + 0*o**2 + 0*o - o**3 + 1 + 0*o**4. Suppose n(p) = 0. What is p?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 333200 to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Work out 2.6 * 0.33.\nAnswer: 0.858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -412 + 1158 = 373*p. Let o(r) be the first derivative of 11\/3*r**3 - 7\/4*r**4 + 0*r + 0*r**p + 2. What is the third derivative of o(m) wrt m?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 3\/(5 - 2)*-9. Let w be 8\/h + 2\/3. Let l be (-1)\/(2\/2 - -2). Sort -2, w, l.\nAnswer: -2, l, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = 2024*n - 2056. Determine b(1).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Does 140 divide 26740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s = -12 + 36. Suppose 0 = 3*a - 34 - 8. What is the smallest common multiple of s and a?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (32\/32)\/((-1)\/(-7))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l + 14374 = 204. What is the common denominator of (-6)\/(-33) + l\/(-264) and -41\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4*g + 6*g - 2*g + 3*g - 19 to the form u + n*g and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3556.\nAnswer: 2, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = -x**3 - 37*x**2 - 74*x - 107. Determine t(-35).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 805526 is divided by 270?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -30*v + 225*v - 7605 = 0 for v.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 789264 and 1953.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 13*f**3*y**3 - 3*f**3*y**2 + 48*f**3*y + 3*f**3 + 4*f**2*y**3 + 2*f**2*y**2 - 6*f*y**3 + 9769*f*y**2 + 3*y**3 wrt f?\nAnswer: 78*y**3 - 18*y**2 + 288*y + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = 4*l - 6*l**2 + 3*l - 2 - 4*l. Suppose 3*i - 3 = 2*i. Let q(c) = -11*c**2 + 5*c - 3. Let g(x) = i*q(x) - 5*d(x). Differentiate g(z) with respect to z.\nAnswer: -6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = -i**2 + 2*i + 9. Let v be c(-4). Does 13 divide 4\/(-10) + (-501)\/v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 27905 and 1730110.\nAnswer: 1730110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify g*g**(-11\/2)*g*g\/g**(1\/7)*(g*g**7\/g)\/g**4 assuming g is positive.\nAnswer: g**(5\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*h - 4*h - 51 + 35 - 55 - 32.\nAnswer: h - 103","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort 1.354, 5, -31.3.\nAnswer: -31.3, 1.354, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-9)\/(-5)*11425\/1371)\/(0 + -1).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 28 - 30. Let d be g\/((-34)\/(-36) - 0 - 1). What is the first derivative of 0 + d*y**2 + 1 - 26*y**2 wrt y?\nAnswer: 20*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*k - k. Suppose -56 = -2*d + 4*w - k*w, -2*w = 10. Calculate the remainder when d is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19 = -4*n - 3. Let o be (-436)\/((-2 - -4) + -4). What is the second derivative of o*i**4 - 2*i - 207*i**n - 19*i - i wrt i?\nAnswer: 132*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ggyggcgccgc. What is prob of picking 2 c and 1 y?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -4 in -0.3, -0.2, 1, 1\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-15)\/10*140\/138. Let b = r + -445\/161. Let g = -3019 - -15144\/5. Calculate the common denominator of g and b.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -7 (base 14) to base 16\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -2640, -10540, -23708, -42144, -65848?\n\"Answer: -2634*i**2 + 2*i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {h: 1, z: 1, j: 1, i: 2, a: 2, s: 1}. Give prob of sequence js.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 8*f*h**3 - 2*f*v**2 - f*v - 7*f + 60*h**3*v + h**3 wrt v?\nAnswer: -4*f*v - f + 60*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is next in 6071, 6060, 6049, 6038, 6027?\nAnswer: 6016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Are -324647 and -7\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g = 20 + -17. Solve 0 = -i + g - 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 14081 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1226 + 1870. Does 28 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((g*g\/(g*g**(-19)))\/g)\/g)**(-34) assuming g is positive.\nAnswer: g**(-612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8*u - 2*u**3 + 118*u**2 - 2 + 1 - 8*u.\nAnswer: -2*u**3 + 118*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-11)\/((-462)\/(-7)) + 397\/6. Let m = t + -58. Solve m = 4*z - g - 3*g, 2*z - 2 = 3*g for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 172881 - 57898. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -5 and -8719.89.\nAnswer: 43599.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (18 + (30 - 3) - 39) + (1 - 61)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 43495.\nAnswer: 5, 8699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -15264*k**3 + 5156*k**3 - 15*k**2 + 20*k**2.\nAnswer: -10108*k**3 + 5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Convert 31505373 (base 8) to base 7.\nAnswer: 111056366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) be the second derivative of -w**6\/65 - 419*w**5\/130 - 139*w**4\/39 + 14*w - 64. Factor v(l).\nAnswer: -2*l**2*(l + 139)*(3*l + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16*d**4\/17 - 2002*d**3\/17 - 13466*d**2\/17 - 1652*d\/17 = 0. What is d?\nAnswer: -118, -7, -1\/8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 661 minutes before 3:43 AM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s be 36\/(-30)*5\/(-3). Let w(x) = x**2 - x. Suppose -6*q + 10 = -q. Let b be w(q). Solve -3*r + 4*h = 11, b*r + s*h - 16 = -0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 83572*j - 167145*j + 83575*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 207149558 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 25 - (32 - -11 - (7 - -5))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 31623 and 1494.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1035159430?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -4650*w**5 - 8*w**4 - 2*w**2 + 222478*w wrt w.\nAnswer: -93000*w**3 - 96*w**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1475691?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d = -173 + -76. Let y = -1745\/7 - d. What is the second biggest value in y, 28, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = -w**3 - 59*w**2 + 55*w - 58. Let p be s(-60). What is the highest common factor of 44 and p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + (4 + (sqrt(1800) + sqrt(1800) + -5 + -1)*2)**2 + 4.\nAnswer: -1920*sqrt(2) + 28871","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0.04 - 0.24. Let h = u + 0. Let t = -1 + 2. Which is the closest to t? (a) h (b) 3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 2\/4 + (-3)\/6. Suppose -3*z + 7*z - 272 = b. Is z a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c - 10 = -9. Which is smaller: c or -2\/11?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -45826 + 45838. Let y = 229 - 101. What is the highest common divisor of i and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 2 - ((-1358)\/(-339) - 2). Let j = o - 656\/3729. Suppose -33*b - 38 = -5. Is j < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1857, -3788, -5719, -7650?\nAnswer: -9581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 12 and 27.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -99\/74222 and -1\/5032.\nAnswer: 296888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 96 + 1?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 120582.\nAnswer: 2, 3, 7, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*y + 4*a - 70, -y = -0*y + 3*a - 36. Calculate the lowest common multiple of y and 30.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 3.131 and 4.\nAnswer: 12.524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = -38*o**3 + 16*o**2 + 1891*o. Let l(k) = 24*k**3 - 10*k**2 - 1261*k. What is -8*l(i) - 5*z(i)?\nAnswer: -2*i**3 + 633*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*y - 3*y + 8*y**2)*(0*y + y + 0*y) + (-y**2 + 2*y**2 + y**2)*(-1 + 1 - y)*(2 - 6 + 2).\nAnswer: 12*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 19 - -3?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = 3*x**3 - x**2 + 7. Let a(w) = -w**3 - 3. Let h = 3 + 4. Let g = -133 - -232. Let c be (g\/18 - 5)\/((-1)\/(-6)). Determine c*l(s) + h*a(s).\nAnswer: 2*s**3 - 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t = -10 + 6. What is the nearest to 0 in 5, -0.3, t?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -5 (b) -647 (c) 4\/45 (d) 13 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -8 divided by 343371.\nAnswer: -8\/343371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = y**3 - y**2 + 9. Let i = 1 + -1. Calculate the remainder when v(i) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h - 3*g + 7716 = 2878, 4*h = -g + 3876. Suppose 5*b - 2*k - 2*k = h, -3*b + 614 = 4*k. Are b and 198 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 8334, 16721, 25108?\n\"Answer: 8387*d - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 20121 - 100111212021?\nAnswer: -100111121200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -13b - 0?\nAnswer: -13b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2*f**3*j*p**2 + 2*f**3*p + 33*j*p**4 - 4*j - 9*p + 1 wrt p.\nAnswer: 4*f**3*j + 396*j*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k = 123121 + -1103744\/9. Let j = -483 + k. What is the closest to j in -111, -0.4, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*q**2 - 2*q + 2*q + (q**2 - 5*q**2 + 3*q**2)*((1 + 18 - 3)*(0 + 1 + 1) - 8 - 4 + 4).\nAnswer: -26*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*b - 595 = 15*b. Let q(m) = 13*m**2 + 2*m - 2. Let g be q(4). Let i = b + g. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*f**2 + 5*f**2 + 0*f**2)*(-f + 2 - 2 + 2*f + 3*f - 3*f - f - 2*f - 4*f + (1 + 0 + 1)*(0*f - 4*f + 2*f) - 2*f + f + 2*f + 0*f + 2*f - 5*f + f + 2 - 2).\nAnswer: -110*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 42719?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -61166746 - 36?\nAnswer: -61167004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*n + 2182 = -16754. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Does -5528189 = -5528187?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -41.1 minus -29.07339384?\nAnswer: -12.02660616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -136 = 21*y - 115. Are 9\/2173 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) be the second derivative of -w**7\/168 - 13*w**6\/48 + 103*w**5\/160 + 31*w**4\/96 - 101*w**3\/48 + 17*w**2\/8 - 857*w. Find j such that k(j) = 0.\nAnswer: -34, -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 27, 23, 17, 9, -1, -13?\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 8398067 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {q: 8, c: 3, s: 6}. What is prob of sequence qssc?\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*y + 52 = 6*y. What is the least common multiple of y and 42?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -177921590 rounded to the nearest 1000000?\nAnswer: -178000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-3)\/(-5) - ((-1314)\/810 - -2). Let y = 0.09 - -1.91. Let l = -1 + 0. Which is the closest to l? (a) 5\/2 (b) y (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 34*n - 35*n = -5. Suppose -n*a + a + 24 = 0. Suppose a*q = 7*q - 98. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve f - f = f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 392053341 to the power of 1\/2, to the nearest integer?\nAnswer: 19800","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-2)\/(-296))\/(((-75)\/(-20))\/(-15))*-2. Put -1, 5, 0, -0.2, h in decreasing order.\nAnswer: 5, h, 0, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 0.02 - 0.32. Let p be (6\/90)\/((-1)\/(-6)). Let c be 9\/24*(-4)\/(-6). What is the nearest to 3 in c, p, b?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1981647, -3963241, -5944835, -7926429, -9908023, -11889617?\nAnswer: -13871211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 5875 and 35288775?\nAnswer: 1175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k - 3*l + l - 14 = 0, 5*l = 4*k - 28. What is the closest to 2\/9 in k, 1\/3, 0, -11?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 3546 - 3475. What is the remainder when 359 is divided by q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 58758335 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 77 a factor of 56826?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ncszvsr. What is prob of sequence cn?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 2146.39 rounded to the nearest 10?\nAnswer: 2150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is next in 72669, 145339, 218009, 290679?\nAnswer: 363349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -9659285, -38637137, -86933559, -154548551, -241482113, -347734245?\nAnswer: -473304947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ccr when three letters picked without replacement from ccrc.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate 75962*-0.94.\nAnswer: -71404.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j = -37 + 34. Let a(i) = -i**3 + i**2 - 3*i - 6. What is the units digit of a(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2\/1001352889 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = -2*q**2 + 21*q - 14. Calculate u(10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = x**2 - 13*x - 14. Let k be i(14). Solve -m - 16 = -4*z - 4*m, k = -z - 2*m + 9 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((240\/130)\/8)\/(-3).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -2695 (base 15) in base 8?\nAnswer: -20060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) be the third derivative of h**7\/42 - h**5\/10 + 7*h**2. Find the third derivative of c(i) wrt i.\nAnswer: 120*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4 + sqrt(448)*1 - (sqrt(448) - -2*(sqrt(448) + -1)) - (-5*sqrt(448)*2 + sqrt(448)*-2 + -4))**2.\nAnswer: 320*sqrt(7) + 44804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2274*t**3 + 20*t**2 + 48*t - 2 wrt t?\nAnswer: 13644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 176070768 and 66026538.\nAnswer: 528212304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 363385365 is divided by 121128449.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-120)\/(-420))\/((7\/((-14)\/2))\/77)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 54740810 to the nearest integer?\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*d - 9, -3*b = -0*b + 4*d - 36. Suppose 4*z + b = -4*k, 0 = 2*z - 5*k - 18 - 9. Let r = z + 5. Calculate the highest common divisor of r and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: (0 - -46) + -4 - (-66 + (13 - -32))\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15*t - 60 = 30. Let z be 26\/6 + t\/9. Let v(c) = 5*c - 5. Let x(a) = -a + 1. Let h(d) = v(d) + 4*x(d). Give h(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(117)\/sqrt(3)*-1 - sqrt(39))\/((sqrt(3) + sqrt(18)\/sqrt(6))*-3).\nAnswer: sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 323 minutes after 4:35 AM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0 - 2. What is the nearest to n in -2, -1, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 466 minutes after 3:38 AM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -66, -70, -74, -78?\n\"Answer: -4*j - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Are 907 and 910 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express 6 - 66*w - 2*w**3 - w**2 + 66*w + w**3 in the form k + b*w + o*w**2 + s*w**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-126)\/70)\/((-3)\/10). Suppose p + 2*o = 0, -2*p - o = -0*o - d. Solve -t = -5*t + 16, -2*t + 24 = p*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -91 + 39. Let z = y - -52. Which is smaller: z or -1\/38?\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 1175 - 27?\nAnswer: 114a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-2 - -1)\/(-1)*(71 - 0))\/(-12201 + 12202)?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Does 119 divide 11087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b = 23 + -20. What is the highest common factor of b and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 5, -5, 0.5.\nAnswer: -5, -3, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {a: 4, e: 9, g: 4}. What is prob of sequence eg?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = x**3 - 10*x**2 - 14*x + 27. Give m(11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 59145898 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-12)\/(-21) + 31\/7. Let k(y) = y - 1. Let b(c) = -21*c - 8. Let t(w) = h*k(w) + b(w). What is the first derivative of t(s) wrt s?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millennia are there in 1997.38 centuries?\nAnswer: 199.738","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 482230002*p + 291975423 wrt p.\nAnswer: 482230002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(50)\/(-5*sqrt(10)*2)*1)**2 + -3.\nAnswer: -59\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*s - m - 16, 2*s + 3 = 2*m - 1. Let h = -377 + 379. Is 51 + h*3\/s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = -107*z - 5030. Calculate g(-47).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((p*p**(3\/4)*p**(2\/23))\/(p**10\/(p\/p**(-1\/4))))**26)**19 assuming p is positive.\nAnswer: p**(-78546\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j = -3 + -1. Let z(h) = -h**2 + h + 5*h + 3*h - 5*h. Let u be z(2). Which is the smallest value? (a) j (b) -6 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1 or 2\/1030197?\nAnswer: 2\/1030197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 33493862 is divided by 1046683?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -153*b - 82*b + 5074 + 7498 = 352 for b.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j + 6 - 1 = 0. Suppose y = 5*q - 254, 2*q + 3*q - 4*y - 266 = 0. Solve -j*h - 3*p - q = -18, 0 = -h - 2*p - 12 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = -d**2 - 21*d + 24. Let l be u(-22). Let f be 2 + ((-1)\/1)\/1. Put -1, l, f in descending order.\nAnswer: l, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) be the first derivative of -t**4 + 4*t**3 - 4*t**2 + 1. Suppose g(q) = 0. What is q?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 47, 46, 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -1.6 (b) -10\/33 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put 6, 31, 1, 3 in ascending order.\nAnswer: 1, 3, 6, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Factor -27*g**3\/7 - 1116*g**2\/7 - 1452*g\/7 - 480\/7.\nAnswer: -3*(g + 40)*(3*g + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = l + 10*l**2 + 10*l**2 - 1 - 21*l**2. Let x(v) = 10*v**2 - 7*v + 2. Let k(u) = 2*j(u) + x(u). What is the second derivative of k(z) wrt z?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10*a**2 + 43*a**2 + 51*a**2.\nAnswer: 84*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort 11\/3, 4, -57, 0.02, 23 in decreasing order.\nAnswer: 23, 4, 11\/3, 0.02, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 8 a factor of 118812\/15 + (-8)\/(-40)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose v - 9*g - 1643 = -5*g, 6 = -3*g. Is v a multiple of 136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 112358 and 69.\nAnswer: 7752702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 454 minutes after 3:05 PM?\nAnswer: 10:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from inizzizzriyzii. What is prob of picking 1 r and 3 z?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*r - 35 = r. Suppose 2*i = -4*v + 11 + r, 2*v - i - 19 = 0. Is v a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11*i**2 + 1228 + 4*i**3 - 1228 - 13*i**3 - 12*i**2.\nAnswer: -9*i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a\/(a\/((a*a**(-1\/7))\/a*a)*a)*a*a**(3\/7)\/a)**17)**(1\/12) assuming a is positive.\nAnswer: a**(17\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1055 is divided by 28?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 685670849?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -788409*k**2 - 6181*k - 9 wrt k?\nAnswer: -1576818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 883 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -117 - 326?\nAnswer: -445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = -l**3 - 5*l**2 + l + 4. Let b be c(-5). Let q be -2*b\/((-3)\/(-6)). Suppose -i = q*i - 130. What are the prime factors of i?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4 is divided by 4\/6 + 21\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 12981243305 minus 3527?\nAnswer: 12981239778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**0\/v)**(-3\/16)*(v\/(((v*v**(2\/3)*v)\/v)\/v))**(-33)*((v\/v**(-1\/3)*v)\/v)**(-9)*(v\/(v**1\/v))**4 assuming v is positive.\nAnswer: v**(-301\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*n + 0 + 0)*(19*n**3 + 6*n**3 + 13*n**3).\nAnswer: -76*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/9? (a) 5 (b) -5 (c) -2\/11 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 16\/9 of a hour in seconds?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = -15*k**3 + 5*k - 2. Let z(x) = -x**2 + 9*x - 3. Let y be z(8). Let j(f) = -8*f**3 + 2*f - 1. Let q(w) = y*j(w) - 2*s(w). Is 6 a factor of q(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*j = 5*j + 15. Suppose 0 = 2*s - j - 7. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 4140509 and 614.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = -d - 13. Let f be s(-13). Suppose -5*v + 765 - 130 = f. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in fourty-three halves of a centimeter?\nAnswer: 215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d = -7*d + 798. List the prime factors of (d\/14)\/(1\/10).\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -4, 2041, -1, -5, -14.\nAnswer: -14, -5, -4, -3, -1, 2041","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: (-500)\/(-750)*(-81)\/(-351)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in 0.3, -144, -1\/10, -1\/7?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*c + 1 - 29. Calculate the remainder when 19 is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -2086 + 2079. Let l(k) = 3*k**3 - 17*k**2 + 19*k + 5. Let c(j) = j**3 - 8*j**2 + 9*j + 2. Let o(s) = 5*c(s) - 2*l(s). Give o(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {w: 2, x: 6, o: 3, t: 1}. What is prob of picking 1 t, 2 w, and 1 x?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 636 and 464?\nAnswer: 73776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = -k**3 + 57*k**2 - 45689*k + 2653328. What is u(58)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = -x - 6. Let v be o(-16). Suppose -5*t + 140 = -v. What is the remainder when t is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 56 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Does 51 divide 10259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x be (36\/21 - 2)*-14. Suppose -2*p - 5*t + 11 = -14, 105 = x*p - t. Calculate the highest common factor of 75 and p.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} {"text":"Question: What is 41 minutes after 8:33 AM?\nAnswer: 9:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 5082669?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify n*((n**3\/n*n)\/n)\/n*n*n**(-3)*n**(-2\/3)*(n\/(n*n**(4\/3)))\/n assuming n is positive.\nAnswer: n**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is (-2)\/26 - 602\/(-3094)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-9800)\/300)\/(-6 - (-66)\/9).\nAnswer: -49\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0743 less than -370418155?\nAnswer: -370418154.9257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from xxazqwiwqqaiiia. What is prob of picking 1 a, 1 w, and 1 z?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = 70*f**2 - 3*f - 4. What is the hundreds digit of m(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 32 + 646846?\nAnswer: 646878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + w + 2)*(78*w**2 + 742 - 742) + 7 - 6 - w**2 + 31 - 2*w**3.\nAnswer: 76*w**3 - w**2 + 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of v**6 + 4802*v**4 - 21*v**2 + 11 wrt v?\nAnswer: 120*v**3 + 115248*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 3*a**2*f**3 - a**2*f**2 + 53*a**2*f*j - 4*a*f**3*j + 2*f**3*j wrt f.\nAnswer: 18*a**2 - 24*a*j + 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s = -41.93 - 1.27. Let v = s + 35.2. Let a = 0 + 3. What is the closest to a in v, -1\/8, -4?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -0.2493 and 59?\nAnswer: 59.2493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Put 1, -0.4, 8, -1, 3 in ascending order.\nAnswer: -1, -0.4, 1, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Multiply -2 and 6700349.\nAnswer: -13400698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor -10\/3*t**3 + 8\/3*t + 2\/3*t**4 - 16\/3 + 4*t**2.\nAnswer: 2*(t - 2)**3*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q + 3*s = -54, 19*q - 3*s + 9 = 22*q. Solve v - 2*r = -r + q, -2*v + r = -13 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 619e - -24de?\nAnswer: 868d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) = r**3 - 7*r**2 + 3*r + 990. What is the smallest common multiple of 462 and z(0)?\nAnswer: 6930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2 + -14 + (32 - (4 - (-17 - -35))).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand 2 - 4 + 6015*f**2 - 5897*f**2 + (-2*f + 0 + 0)*(-f - 2*f + 4*f).\nAnswer: 116*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d = -802526 + 802525.96000044. Let u = 2 + -2.04. Let f = u - d. What is f rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -33570 divided by 6714\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-4)\/(-6)*(-6)\/2. Let y = 563285 - 563282. Sort z, 1, -10, y in decreasing order.\nAnswer: y, 1, z, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -173 + 26 = -49*t. Let v = -21.8 + 22. Let u be (-2)\/(-3) + (-28)\/(-12). Which is the closest to u? (a) t (b) v (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 12860 is divided by 4170?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Does 129 divide 287309060?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = 2*u**3 + 9*u**2 - 10*u + 1. Let n be s(1). Is 1\/121 bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -4*n**4 - 276*n**3 + 16764*n**2 - 203404*n + 634920 = 0. What is n?\nAnswer: -111, 5, 11, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 28314 and 6296004?\nAnswer: 2574","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-1)\/(-3) - (-26)\/3. Let g(p) = p**2 + 5*p + 9. Let n(j) = -71*j - 6. Let i(z) = -25*z - 2. Let y(s) = 17*i(s) - 6*n(s). What is m*y(q) - 2*g(q)?\nAnswer: -2*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2389745414.\nAnswer: 2, 7, 67, 937, 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (5648\/432 + -13)*19\/((-76)\/(-48)).\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 184845?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 615*m**6 - 4*m**2 + 24224 wrt m?\nAnswer: 73800*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 7 + -211775?\nAnswer: -21176d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in 67.1, 322, 53, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mm when two letters picked without replacement from {m: 4, j: 2, a: 2}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + -3*sqrt(7) + 1.\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w = 91 + -94. Let f be (12\/10)\/(w\/(-45*2)). Suppose -3*r - 5*u = -122, 0*r + r + 4*u - f = 0. Is 11 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*i = -4*d - 123, -3*i + d = -172 + 101. Solve -10*v = -i*v + 26 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.4, 1\/3, 0.4, 1, 95844 in descending order.\nAnswer: 95844, 1, 0.4, 1\/3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -54 + 23 + 158 - 3*y to n*y + i and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -1.26 - 326?\nAnswer: -327.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 18629.868 nanoseconds in minutes?\nAnswer: 0.0000003104978","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 37*q**3*u**3 + 2*q**3*u**2 - 4810*q**3*u + 9*q**2*u**3 - 4*q**2 - 6*q*u**2 - 19*q*u - 39686*u**3 + 2 wrt u?\nAnswer: 222*q**3 + 54*q**2 - 238116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) be the second derivative of -u**6\/70 + 51*u**5\/35 - 9*u**4\/4 - 136*u**3\/7 + 402*u**2\/7 - 44*u - 5. What is b in w(b) = 0?\nAnswer: -2, 1, 2, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = 30*z**2 - 3 + 3*z + 3*z + 103*z**2. Is b(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*(sqrt(99) + 4*sqrt(99)))\/(sqrt(441)*3).\nAnswer: -10*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 31 = -4*n - 5*t, -n = 3*n - 3*t + 7. Let h be n\/(-1) + (-10 + 4 - -4). Solve 2*a + h = 4 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7147 is divided by 130.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 16939128 divided by 5\nAnswer: 16939128\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -46818382 rounded to the nearest ten thousand?\nAnswer: -46820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in seven thirds of a day?\nAnswer: 3360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k + 982 + 5639 = 3*v, -8280 = -5*k - 5*v. What are the prime factors of k?\nAnswer: 3, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -2689301, -5378597, -8067893, -10757189?\n\"Answer: -2689296*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor m**2\/5 - 29721*m\/5 - 18873346\/5.\nAnswer: (m - 30343)*(m + 622)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b = -1.6 + 2. Let k = -1207496 - -1207509. What is the nearest to 1\/3 in 0, b, k?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from gvivixv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v = 25 - 23. Suppose -5*l = -3*m - 64, -v*m = 3*m + l + 88. Let f = 23 + m. Solve 3*y + 5*g - 4*g = -5, -f*y = 4*g + 13 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) -8 (b) -3 (c) 2\/19 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 27469 and 2875793?\nAnswer: 2113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = -9*y**3 + 3*y**2 - 1. Let v be (-3 - (-2232)\/(-15))\/((-2)\/(-10)). What is the remainder when f(-2) is divided by v\/(-69) - (-1 - 2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = 8*m**2 - 2*m + 1. Let k = -57 - -58. Calculate a(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 5, 3, -800, 4, -0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g = -123 - -142. Suppose -g*w + 18 = -25*w. Is w not equal to -13\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 19821122*j**4 - 44144317*j wrt j?\nAnswer: 237853464*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 427 + 224 = -31*q. Suppose 3*n - 10 = 2*n. Let b = -10 - n. Which is smaller: b or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 7, h: 1, j: 5}. What is prob of sequence uh?\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f\/(f*(f*f**(-1\/2))\/f*f))**(-35)\/((f\/f**6)\/(f**9\/f)) assuming f is positive.\nAnswer: f**(61\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1271443416031.790113 - -1271446709544. Let c = 3293510 - s. Let w = -2.21 - c. Round w to five decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b1324 (base 13) to base 6\nAnswer: 10443053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = -l**2 - 21*l - 34. Let c be o(-16). Suppose 314 = 12*i - c. What is the remainder when i is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 84537, 84533, 84527, 84519, 84509, 84497?\n\"Answer: -u**2 - u + 84539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*p = -11 + 3. Let l be p\/(-10) - (-2)\/10. Factor l*y + 0 + 2\/5*y**2.\nAnswer: 2*y*(y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 184 a factor of 90422384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose x + 1 - 5 = 0. Suppose -7*r + 198 = -x*r. What is the greatest common factor of r and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 74*i - 138*i + 184 - 1093 - 307 for i.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence kkkc when four letters picked without replacement from {k: 8, c: 5}?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = 28*w + 1459. Let f = 0 + 32. What is the remainder when n(-50) is divided by f?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 8\/12 + (-50)\/(-6). Suppose m = 3*a - 0. Sort -0.5, -4, a.\nAnswer: -4, -0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = 7*o**3 - o**2 + 1. Let m(v) = -v**3 + 2*v**2 + 3*v + 2. Let p be m(3). Suppose -8 = -p*h, -3*g + 0*h = -h - 158. Let k = g + -55. Determine r(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (31*s - 7*s**3 - 31*s)*(-2*s + 3*s - 2*s) + (1 - 1 - 2*s**3)*(-23 - 25 + 42)*(-13*s - 123 + 123).\nAnswer: -149*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = -2*i. Let m(r) = -3*r. Let g(q) = -4*q. Let j(k) = 4*g(k) - 5*m(k). What is t(j(s))?\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = -25*s + 83. Calculate p(7).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 305 is divided by 66?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Factor 172*k + 146*k**2 + 127 + 69 + 143*k**2 + 164 - 293*k**2.\nAnswer: -4*(k - 45)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1449*d**3 - 433*d**2 + 433*d**2.\nAnswer: -1449*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put -4, -5, 281, 36, 1 in decreasing order.\nAnswer: 281, 36, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o = 28.7 - 28. Which is the fourth biggest value? (a) -1\/4 (b) -2 (c) o (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-p + 0*p + 0*p + (-4 + 4 + p)*(3 - 1 - 4))*(1565 + 720 - 705 + 301).\nAnswer: -5643*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 23406*m**2 - 48701*m**2 - 29109*m**2.\nAnswer: -54404*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = 3*m**2. Suppose -5*w + 16 = -w. Let j(o) = -2*o - w*o + 7*o. Determine p(j(t)).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = -f. Let o = -30 + 42. Let r be 3\/(-12) - 165\/o. Is 14 a factor of q(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2020030122 (base 4) in base 7?\nAnswer: 4512246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 2106338851 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = -o + 3. Let g(z) be the third derivative of -z**4\/8 + 4*z**3\/3 + z**2. Let j(y) = y**3 - 6*y**2 + 2*y + 4. Let i be j(5). Calculate i*r(h) + 4*g(h).\nAnswer: -h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g**1)**(-2\/9)\/(g**(-7)*g*g**(-8)\/g) assuming g is positive.\nAnswer: g**(133\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -7, -11, -19, -31, -47, -67, -91?\n\"Answer: -2*o**2 + 2*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**(10\/7)\/l)\/((l\/(l*((l*l*(l*l\/((l\/l**16)\/l))\/l*l)\/l)\/l*l))\/l) assuming l is positive.\nAnswer: l**(143\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Are -2836894 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = -v - 3. Let k(n) = 6*n - 46. Determine -k(j) - 2*y(j).\nAnswer: -4*j + 52","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 49196970512.3+0.13\nAnswer: 49196970512.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*x + 64 = 92. Suppose 2*a - 3*a = 2, x*b = -4*a + 13100. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a**6\/a)**(-16)*(a**(-13))**(-2\/29) assuming a is positive.\nAnswer: a**(-2294\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 605 minutes before 9:15 AM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t + 5*s = s - 511, 326 = 2*t + s. Suppose -5*f - 2*h + t = 2*h, 2*f - 68 = -2*h. Does 18 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 217 and 2288699?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -305605, -1222348, -2750229, -4889248, -7639405, -11000700, -14973133?\nAnswer: -19556704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 442, 875, 1308, 1741, 2174?\nAnswer: 2607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = -m - 2 - m**2 - 6*m - 3 - 2*m. What is the tens digit of y(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:32 AM and 5:56 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i be 0 + (24\/(-35) - (-32)\/112). Let j be -2 + 1 + 12\/(-3). Which is the nearest to -3\/2? (a) -0.1 (b) i (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2683 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 204 minutes before 6:48 PM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 8486 + 30?\nAnswer: 8516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 236?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = t + 23. Let n(z) = 64 - 2*z - 119 + 55. Give m(n(i)).\nAnswer: -2*i + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*j = -6*j - 55. Suppose j*p = 51*p + 108. Which is the second biggest value? (a) 1\/3 (b) p (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = -7*o**2 + 100*o + 8. What is m(12)?\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Does 33 divide ((-572)\/14)\/(33\/(-693))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from vvvtvtvv. Give prob of picking 3 v.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-1 - -14) + -9 + 7. Suppose 2*i + 0*u + 4*u = 212, -5*i - 5*u = -540. Suppose 0 = g + g - i. Calculate the highest common factor of g and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2 + 3 + 0 + 3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -48265740 rounded to the nearest 1000000?\nAnswer: -48000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1582555318 to the nearest integer?\nAnswer: 39781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = -14382*j + 102. Let q be s(11). Round q to the nearest 1000.\nAnswer: -158000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -645156, -645151, -645134, -645099, -645040, -644951, -644826, -644659?\n\"Answer: k**3 - 2*k - 645155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from htttthxhhhxx. What is prob of sequence xt?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express (-44 + 25 + 49)*(0*d**4 + 25*d**4 - 4*d**4) as s*d**4 + r + j*d + g*d**2 + w*d**3 and give s.\nAnswer: 630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2964456.\nAnswer: 2, 3, 11, 19, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = 4*n**3 - 3*n**2 + 5*n + 1. Let g(r) = 13 + 4*r**2 + 7 - 22 + 4*r - 3*r**3 - 7*r - 3*r. What is 6*f(j) + 5*g(j)?\nAnswer: 9*j**3 + 2*j**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -131.0201285 - 31\nAnswer: -162.0201285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p = -0*p + 72. Suppose 4*h = -0*h - p. What are the prime factors of 163\/11 + h\/(-33)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -522\/1895 or 1?\nAnswer: -522\/1895","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -840*i**3 - 70*i**2 + 4*i wrt i?\nAnswer: -5040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8472 is divided by 381.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = -q**2 - 27894*q. Let r(z) = -830*z**2. Give w(r(c)).\nAnswer: -688900*c**4 + 23152020*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 293 minutes after 3:16 PM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*p = p - 9*k - 12, 3*k + 6 = 0. Let j(y) = y**3 + 2*y**2 + 2. Let x(d) = -5*d**3 - 9*d**2 - d - 9. Determine p*x(f) + 9*j(f).\nAnswer: -f**3 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o = -5*p + 222, -2*p - 5*o + 53 = -32. Let s = 40 - p. Is s\/(-9)*69*3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 161 divide 106342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*r + 11 = -2*l - l, 5*r = -3*l - 16 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) be the second derivative of -x**5\/10 - 5*x**4\/6 - x**3\/3 - 4*x**2 + 64*x. Find the second derivative of q(u) wrt u.\nAnswer: -12*u - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 40 divided by 4\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 117\/3346 and -41\/16.\nAnswer: 26768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in -20, -2\/15, -3, 1\/2, 1\/6?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p = -12 - -15. Let h be 2\/(-6) - 34\/(-66). Let j = 0 - 1. Which is the closest to 2\/3? (a) p (b) j (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 2\/3307 - -201655\/119052. What is the common denominator of x and 4 + -9 - (-301)\/860?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 855109819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Convert -2bd30 (base 15) to base 9.\nAnswer: -234800","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*v**3 + 2*v - 2*v + (-1 + 1 + 2)*(v**3 + 3*v**3 - 3*v**3) - v**3 - v**3 + v**3.\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c = -14108 + 14109. What is the nearest to c in -1\/8, -22\/7, -2\/9, -4.9?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00001025336 to seven decimal places.\nAnswer: -0.0000103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 2 + 0 + 2 + -1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y = 18\/25 - 48\/25. What is the closest to -1\/3 in 0.2, y, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -52905\/293 at most -180?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = j - 7. Let c be h(10). Solve 0 = 5*x - 4*x + c for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 2*3\/15*10. Let r = -164\/629 - -14\/37. Sort y, -5, r in descending order.\nAnswer: y, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r + 252 = -4*r. Suppose 124*v = 121*v + 2064. Suppose 12*u + v = -4*u. Is u smaller than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 3 - 2)*(-3*i - 2*i**2 + 3*i - i**4)*(-409*i + 191*i - 1744*i + (2 - 2 + 2)*(-4*i + 4*i - 2*i)).\nAnswer: 3932*i**5 + 7864*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -i + 0 = -2. Suppose 0 = i*y + 5*y - 35. Find the common denominator of ((-3)\/y)\/((-2)\/(-6)) and -19\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (3 - 368\/53) + 4. Let u = b - 395\/424. Which is smaller: u or 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 208 (base 9) to base 12\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -17*s - 5 = 3*a - 15*s, -3*a + 3*s = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k = 529 + -524. Solve k*a = -0*a + 5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 2\/65, 303.491, -0.5 in decreasing order.\nAnswer: 303.491, 2\/65, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -393*q**3 - 526*q**3 - 158*q**3.\nAnswer: -1077*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 229 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -346.273 rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = -6*k - 105. Let y = -238 + 142. Calculate the common denominator of 17\/22 and (-237)\/(-9)*k\/y.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of -4.705899 and 2282496.\nAnswer: 2282491.294101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert 141311 (base 5) to base 4.\nAnswer: 1123013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = -3*d + 6. Suppose -17*v + 12*v = 85. Let n(f) = 9*f - 17. Give v*l(u) - 6*n(u).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -14*k + 11*k - 3*u + 7*u - 11, 110*k + 12*u = 13*u + 325 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence tuwz when four letters picked without replacement from wtzzwuzvwhhzzwh?\nAnswer: 1\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 937 or 944?\nAnswer: 944","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l be -1*(-2)\/2 - -2. Let n = 25 - 18. Let z = 12 - n. Sort z, 2\/3, l in descending order.\nAnswer: z, l, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = -30*x**2 - 36*x - 2. Let b(q) = -52*q**2 - 72*q - 3. Give 4*b(m) - 7*c(m).\nAnswer: 2*m**2 - 36*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**(2\/25))**(-4\/17)\/((m\/(m**9\/m))\/(m\/(m*m**(-11))*m)) assuming m is positive.\nAnswer: m**(8067\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q = 4.1 - 4.4. Sort q, 4, 0.03 in decreasing order.\nAnswer: 4, 0.03, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*d = 2*b + 11*d - 1384, -d = 3*b - 2084. What are the prime factors of b?\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (4\/10)\/((-2)\/(-10)). Suppose 0 = -a*b - 2. Let v be (1 - -38997) + (1 - b). What is v rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 152 minutes before 6:23 AM?\nAnswer: 3:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 150*d - 154*d = 0. Suppose -2*k - 17*k - 95 = d. Let y(l) = 5*l + 6. Calculate y(k).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1429 = 3*w - 839. Is w a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 u and 1 z when two letters picked without replacement from uuuz?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Multiply -44242 and -188.\nAnswer: 8317496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 22 and 2486?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 66760 and 47207665.\nAnswer: 377661320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 24047 greater than or equal to 24048?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*g + u = -53, 0 = -5*g - u - 3*u - 69. Let h be 32\/14 + (-178)\/(-14) + g. Factor 50\/3*j**h - 20\/3*j + 2\/3.\nAnswer: 2*(5*j - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 60 = 2*n - 4*a, -5*a + 55 = 4*n - 0*a. Let f(c) = c + 4. What is the tens digit of f(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:55 AM and 1:57 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 17717 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v = -121 + 217. Suppose 4*n + v = 8*n. Calculate the smallest common multiple of 102 and n.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 979198835 is divided by 804?\nAnswer: 803","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -12, 4\/7, 433, 4?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5134825?\nAnswer: 5, 293, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 144?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) be the third derivative of 10*c**2 - 1\/40*c**4 + 0*c - 1\/100*c**5 + 0*c**3 + 0. Factor f(a).\nAnswer: -3*a*(a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 136 - 78. Let d = 82 - f. Calculate the remainder when d is divided by 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from hzozohrhrzzzzzrhrho. Give prob of picking 1 o and 2 r.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x = -108 - -113. Suppose 2*t = x*r + 141 + 105, -r = 5*t + 60. Let h be ((-15)\/r)\/((-6)\/5). What is the closest to 1 in 0.3, 0.1, h?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-2 + sqrt(1900))*6 + (1 + sqrt(1900))*-3)**2.\nAnswer: -900*sqrt(19) + 17325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:46 PM and 12:54 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose m + 4*o = -2*m + 1524, 5*o - 2545 = -5*m. Let n = m + -171. Suppose 5*b = 4*a - 0*a - n, 0 = 5*a + b - 390. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 163 <= -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 344974 to the power of 1\/2, to the nearest integer?\nAnswer: 587","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) be the first derivative of -3*b**5\/40 - 4*b**3\/3 + 20. Let j(k) be the third derivative of w(k). Let a(v) = 3*v**2. Calculate a(j(n)).\nAnswer: 243*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Convert -1001110100111 (base 2) to base 4.\nAnswer: -1032213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = n - 4. Let z(q) = -q**3 + 9*q**2 - 8*q + 8. Let b be z(8). Let y be v(b). Suppose -3*w - 193 = -4*r - 5, w = -y*r + 188. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) = 155*y + 2483. Let o be n(-16). Which is the closest to -0.3? (a) 0 (b) -5 (c) -1\/10 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 27860096 divided by -4?\nAnswer: -6965024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.016 - -0.116. What is the closest to -0.1 in -5, f, -3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: (3\/((-30)\/(-8)))\/((-245)\/175)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:59 PM and 5:55 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i = 17271 + -17275. Let n = -10 - -14. What is the nearest to i in -4, n, -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -762\/7*o + 48387\/7 + 3\/7*o**2.\nAnswer: 3*(o - 127)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = 576*u**2 + 9*u + 107. Is x(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -32 + 56. Suppose -4*u + 40 = i. Suppose -4*o - 1 = 3*c, 9*c + 5*o = u*c + 5. Are -3 and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -469.61452 - -455.614. Let w = -1.66 + -12.34. Let n = w - l. What is n rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q + 606 = 5*b, -2*b = -4*b - 5*q + 231. Suppose j - 109 = b. List the prime factors of j.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 54054556 divided by -8?\nAnswer: -13513639\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m + 3*d - 31252 = 0, -d + 93776 = -3*m + 4*d. Let g = 12207 + m. Is ((-4)\/(-20))\/((-4)\/g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 175872*l*v + 4949*l - 2*v + 17 with respect to v.\nAnswer: 175872*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s = -54 - -99. Suppose -18 = -46*a + s*a. Calculate the least common multiple of a and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.11 - 215.69. Let w = s + 198. Let l = 0.2 - w. Sort 0.1, l, 0.5 in descending order.\nAnswer: l, 0.5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 10224 and 72768?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} {"text":"Question: Let c(t) = t**2 + 2*t + 4. Let i be c(-2). Let b = 3 - 0. Solve v = 5*m - 4*v - 20, b*m - i*v = 11 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*m = -u + 25, -u + 2 = -3. Suppose m*x = -x. Let y be x*(-1)\/(2 - 3). Does 0 = y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from cfopoookkoooooccc. What is prob of sequence okc?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*a + a - 60. Calculate the lowest common multiple of a and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 182*p - 165*p - 136 = 0 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 9*u**3*v**4 + 12*u**3*v**3 + u**3*v - 2*u**3 - 565*u*v wrt v?\nAnswer: 108*u**3*v**2 + 72*u**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n*n**(-5)*n)\/(n*n**(-4\/5)) assuming n is positive.\nAnswer: n**(-16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*o - 5*o = -4*d - 914, -732 = -4*o + 3*d. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 2 + -1 + -2 + 0\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q + 3*q - 117 = -2*u, -3*u + 186 = 4*q. What is the highest common factor of u and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = 3*a**2 + 253*a - 505. What is w(2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 369035?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*n - 4*o + 2 - 18 = 0, 10 = 5*o for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z + 19 = -11*v, -24 = z - 5*v - 33. Put z, 1, 14, 50 in descending order.\nAnswer: 50, 14, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -245, -511, -819, -1169, -1561?\nAnswer: -1995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 450430553*b**4 - 324066*b + 7?\nAnswer: 5405166636*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 23364 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0*j + 8*j - 4*j)*(-308*j - 102*j + 76*j) to the form l*j**2 + w*j + q and give l.\nAnswer: -1336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n = 22 + -16. Suppose 6*k + 6 = -n. Which is the closest to -2\/7? (a) -5 (b) 3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 41\/2 of a millennium in decades?\nAnswer: 2050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 27892?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = k**3 + 9*k**2 - 10*k - 1. Let b be j(-10). Let f(g) = -20*g**2 - g. Calculate f(b).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (55467121*y - 55467131*y + 343 + 878)*(3 - 2*y**2 - 3).\nAnswer: 20*y**3 - 2442*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = -1985*z + 3. Let f be a(2). Let o = f + 2671. Let p = -419 - o. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 559 - 248. Let y = s + -183. Suppose -186 - y = -2*m. What is the remainder when m is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (91932\/14)\/(1076\/3766)?\nAnswer: 3, 47, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:25 AM and 7:51 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l = -332 + 327. Let q be (-4)\/(-6)*28692\/(-66). Let x = -290 - q. Which is the third biggest value? (a) 0.6 (b) l (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -4 - 2 - (-2 - (-3 + -12) - 8)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 710 minutes after 11:04 AM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = j**3 - 19*j**2 - 374*j + 47. What is a(31)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 7.32735nm in centimeters?\nAnswer: 0.000000732735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -7a (base 14) to base 2\nAnswer: -1101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i = -189 + 187. Let o = i - 19. What is the biggest value in -3, 0, 0.4, o?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1 + 1 + -4 + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 259 - 276 = 17*k. What is the closest to 2 in k, 0.42, 0?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -16*g + 737 - 625 = 0 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -23 - 1?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j = -38.31 - 244.88. Let i = 273 + j. Round i to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (((-12)\/840)\/(5\/(-25)))\/(24\/(-140)).\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 66674, 66316, 65958?\n\"Answer: -358*l + 67032","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand -11*u + 23*u + 2 - 13*u + 4*u - 3*u + u + (-3 + 0 + 2)*(3*u - 3*u + u) + 4*u + 0*u - 2*u.\nAnswer: 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = -5*p**2. Suppose 0 = -5*q + 5*v - 40, 24 = -4*q + q - 2*v. Let w be ((-1)\/2)\/((-38)\/q + -5). Let g(z) = 0*z**2 + 5*z**2 - 6*z**w. Calculate g(c(x)).\nAnswer: -25*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g = -4070 - -4053. Is g greater than 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = 6*x**3 - x**2 + 1. Let c be w(2). Let o be (-79)\/(-5) - 36\/c. Let j be 0\/(5\/(o\/3)). Is -1 at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be -4 + 4 + (-2 + 37)\/1. Suppose 5*h + 30 = j. Let m(x) = 3 - 1240*x + 62*x**2 - h + 1240*x. Let t(v) = -v**2. What is t(m(s))?\nAnswer: -3844*s**4 - 248*s**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Convert 2443.923 micrograms to nanograms.\nAnswer: 2443923","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 57\/80 and 14\/11?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -408 + 408 + 3*v.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from hjqqxqjxjjqqqjqqxxjj. What is prob of sequence jj?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17 = -6*p + 1. Calculate the smallest common multiple of 11 and p\/(-1) + 3 - -4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 13363880.\nAnswer: 2, 5, 61, 5477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = 7*l**2 - 2*l - 1. Let a(w) = -6 + 20*w**2 - 6*w + 2 + 1. Suppose 4*f = 3*h - 80, 5*f + 51 = 3*h - 46. Let m = 2 + 4. Determine f*n(u) + m*a(u).\nAnswer: u**2 - 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert 5720.243 millilitres to litres.\nAnswer: 5.720243","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 370 and 3945?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 60848 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -75*x = -42022 + 42097 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert -113 (base 5) to base 14.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -26 + 2 = -4*w. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 33 a factor of 4410054?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = 4 - 3*r - 2*r**3 + 0*r**3 + 3*r**3 - 2*r**2. Let v be s(3). Find the third derivative of -2*i**4 + 2*i**2 + i**v + 0*i**4 wrt i.\nAnswer: -24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.41 + 0.01. Let s = t - -0.4. Let j = s + 0.0000001. Round j to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j + s + 7 = 0, 179 - 189 = -5*s. Let v(o) be the third derivative of 4\/15*o**5 + 2\/3*o**4 - o**2 + 0 - 1\/10*o**6 + 0*o**j + 0*o. Factor v(c).\nAnswer: -4*c*(c - 2)*(3*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -1001334596 - -1049935598.7. Let k = u - 48600768.6999711. Let i = 234 - k. Round i to 6 dps.\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 421777 and 550237.\nAnswer: 2141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:12 AM and 6:15 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = l**3 + 18*l**2 - 42*l - 36. Let s be p(-20). Determine a so that -2\/3 + 5*a**2 + 7\/3*a**s + 1\/3*a + 19\/3*a**3 = 0.\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.97 + 0.03. Let z = -0.7 + 2.7. Let p = 528\/5 - 106. Put z, s, p in ascending order.\nAnswer: p, s, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*u + 2*u - u)*((-5 + 89 + 43)*(1 + 0 + 7) + 4 - 3 + 2).\nAnswer: -2038*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + sqrt(20) + sqrt(5) + (sqrt(5) - sqrt(20))**2 + 0.\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 1.1 (b) 5 (c) 0 (d) -5 (e) -5806\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) = v**3 - 3. What is the tens digit of b(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -16 = g - 5*g + 4*x, 5*x = -2*g + 1 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*k - k**3 - 4*k + 3*k**3 + k**3 + 2*k**3 + (-2*k**3 + 4*k**3 + k**3)*(2 - 1 + 1) - 5*k**3 + 2*k**3 + 2*k**3 + (-1 - 2*k**2 + 1)*(-16*k - 3 + 11*k - 4).\nAnswer: 20*k**3 + 14*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.2 and 153.087659.\nAnswer: -30.6175318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m = 8693 - 8688. What is the highest common divisor of m and 6065?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 0 divided by 2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((2*sqrt(99)*-4 - 1*sqrt(99)*6)*-3)\/((sqrt(18)\/sqrt(2) + sqrt(9))*3 - sqrt(18)\/(sqrt(2) + sqrt(32))) + 0.\nAnswer: 210*sqrt(11)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose i + 3*y - 4 = 2*i, -5*y + 10 = 0. Suppose -c - 3*h = i*c + 105, -2*c - 35 = -5*h. Let j(a) = a - 42. Let s be j(11). Is c != s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 314944559 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -0.2, 0.2, 0, -10.9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 6 a factor of 1970242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = r, -3*r - 2 = -5*b + 18. Solve -b*y = y + 20 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 8033824637 - 8033618779.599386. Let w = -205864 + a. Let y = w - -6.6. What is y rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (i + i - 8*i)*(31 + 12 - 6 - 3 + (4 - 2 - 3)*(1 + 2 - 1)).\nAnswer: -192*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(88)\/(sqrt(33)\/sqrt(3)).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 1313047 and 5773.\nAnswer: 329574797","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l = 468 + -285. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 3623613 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-69 - (-7 + -2)) + (92 - 86).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -27\/3832022 and 149\/66.\nAnswer: 126456726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = -g**3 - 13*g**2 - 25*g - 56. Determine j(-11).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d = -0*d + 8, -35 = -5*u - 5*d. Factor -r**2 - 4 + u + r**3 - r + 0.\nAnswer: (r - 1)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((o\/(o\/o**(-3\/7)))\/o)\/o)**40)**(-31) assuming o is positive.\nAnswer: o**(21080\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8 - 2 + 3 + 4*r**2 - 9.\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.5 - 0.44. Let i = g + -1.06. Let m be (-1)\/3*(-1 + 0). What is the third smallest value in 4, i, m?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*f + f - 4 = 0. Suppose -f*d + 18 = -d. What is the third derivative of w**d + 4*w**2 + 0*w**2 - 3*w**2 wrt w?\nAnswer: 120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 65213 divided by 8072.\nAnswer: 65213\/8072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -0.1 * 13.735022\nAnswer: -1.3735022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 1177393 divided by -497\nAnswer: -2369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round -371.7456294 to zero dps.\nAnswer: -372","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = -182*x**3 + 4*x**2 + 46*x + 43. Let j be h(-1). Calculate the greatest common divisor of 72651 and j.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:14 AM and 9:34 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (11 - (-18 - -32)) + 404*1 is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -26104*u**3*w**3 - 2*u**3*w**2 - 3*u**3*w + 8*u*w**2 - 11*u*w wrt w?\nAnswer: -156624*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l + 3 = 0, 0 = -3*j - 15*l + 17*l + 46. Suppose -372 = -j*m + 172. Is 4 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 1764\/(-255) + (-16)\/(-136) - (-21)\/3. Which is the nearest to 4? (a) k (b) -5 (c) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 215260.\nAnswer: 2, 5, 47, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*r - 20 = -3*r. Let p = 8 + -6. Let h(w) = 4*w**2 - w - 1. Let z(u) = 9*u**2 - 2*u - 2. Give p*z(i) + r*h(i).\nAnswer: -2*i**2 + i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = -8*i**3 - 36*i**2 - 319*i - 839. Determine f(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = -6*s - 38. Let m be j(-6). Does 3 divide 10\/(m\/(-6)*(6 - 5))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-14 + 2)\/((-4)\/(24\/9)). Calculate the greatest common divisor of 72 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4920252 = -4*a - 5*f - 316247, -2*a + f = -2301999. Round a to the nearest 10000.\nAnswer: 1150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -529844, -529845, -529846, -529847?\n\"Answer: -h - 529843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 10521 (b) 23 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = -j + 3. Let q be h(3). Suppose q = 4*l - 16 - 296. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = -h - 7. Let p be l(6). Let a = p - -30. Solve 0*b + a = -3*q + 4*b, -4*b + 21 = q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z = -3*d + 27, 0 = d - 4*z + 3 - 4. Let h = d - 9. Let o(a) = -a**2 + 4*a + 2. Let k be o(5). Put h, k, 0 in ascending order.\nAnswer: k, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = 9*l**3 - 16*l**2 + 36*l - 17. Let d(j) = 2*j**3 - j. Let r(a) = 4*d(a) - f(a). Let t be r(13). What is the second smallest value in t, -13, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.211 + -95.789. Let x = -51.4 - v. Let j = x - 45. Which is the second biggest value? (a) j (b) -3\/5 (c) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 22 - -14?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose b + 58 = 66. What is the remainder when b is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*sqrt(121)*5*-3)\/(sqrt(55)\/(sqrt(10)\/sqrt(2))*2).\nAnswer: 75*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z - 6 = 3*m, z + m = 2 - 4. Suppose z = u + 143 + 45. What is u rounded to the nearest ten?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -9*u = 90 - 14 + 113 for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k = -19 - -23. Suppose -d - k*n + 1 = 0, -3*d + 2*n + 19 = -2*n. What is the greatest common divisor of d and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 27021104496.28073766 - 27021104966. Let n = 403.7192615 + f. Let w = n - -66. What is w rounded to 7 dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 21222 is divided by 61.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7*b**2 + 10*b**2 + b**2 + 122*b**2 + 5*b**3 + 34*b**3.\nAnswer: 39*b**3 + 140*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 23 divided by -213?\nAnswer: -23\/213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {d: 1, k: 3}. What is prob of picking 2 k?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*z = -15 - 95. Let x = -10 + z. 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: Let 2*m**4\/3 + 76*m**3\/5 + 152*m**2\/15 - 176*m\/5 = 0. What is m?\nAnswer: -22, -2, 0, 6\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1257482?\nAnswer: 2, 37, 16993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (6 - 6 - -5) + -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 0.07702768 rounded to five decimal places?\nAnswer: 0.07703","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = j**3 + 14*j**2 - 24*j - 41. Calculate the remainder when x(-7) is divided by 32.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = 113*a**2 + 95*a + 1. Let t(d) = -57*d**2 - 52*d - 1. What is 6*i(g) + 11*t(g)?\nAnswer: 51*g**2 - 2*g - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2776*r + 2776*r + r**2.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*d + 7*o = 9*o - 4, o - 6 = d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*i**2 - 14*i**2 - 17*i**2)*(-2 - 5*i - 2 - 1).\nAnswer: 140*i**3 + 140*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1533275, -1533278, -1533281, -1533284, -1533287?\nAnswer: -1533290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i = -12123 - -12217. Calculate the remainder when 996 is divided by i.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/5 in -13, -3\/2, 1, -9, 20, -156?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*y - 4*y - y)*(175 + 307 - 216).\nAnswer: -532*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*m - 4*m + 5592 = -5*b, 0 = 2*m - 4*b - 2796. What are the prime factors of m?\nAnswer: 2, 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 191 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = -9*x**2 - x - 1. Let f(z) = z**3 + z**2 + z - 1. Let n be f(0). Let w be r(n). Let i(c) = -c**2 - 12*c - 9. What are the prime factors of i(w)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-1 - -1) + (-2)\/(-7). Let y = -1\/42 + 33\/14. Let a = y - 5\/3. Put a, 0.5, i, -0.3 in decreasing order.\nAnswer: a, 0.5, i, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:07 AM and 9:09 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-3 + 27\/6)*2. Suppose -4*r - 4*t + 76 = 0, -a*r = -0*r + 2*t - 56. What is the highest common divisor of 6 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 42996173889 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*a = -5*a + 10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*x - 8*x = 2*i + 78 - 52, 4*x = -4*i - 44 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l = 10 - 0. Calculate the remainder when 19 is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -4020 + 4020.03. Is -351 less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u**(38\/5)\/u**(-27))**36)**(1\/26) assuming u is positive.\nAnswer: u**(3114\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Convert 50656.5 micrometers to millimeters.\nAnswer: 50.6565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -293 divided by 14\nAnswer: -293\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = s**2 + 2*s + 1. Suppose n + 17 = -4*m, 0 = -4*m - n + 6*n + 13. What is the least common multiple of 14 and k(m)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 y and 1 u when three letters picked without replacement from {y: 2, u: 16}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 3 (b) 2 (c) -0.112\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 58280 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*o = 4, -o = 4*h - 5*h - 8 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve i = -a + 6, 3*a + 522*i = 524*i + 23 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Work out -89594 * 0.591.\nAnswer: -52950.054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a be (4\/5)\/(1\/30). Suppose -3*r + 0 = -a. Suppose x + 16 = -4*i, i + i + r = x. Solve x*t = -t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 7 + -6. Let y be (6 - (-456)\/(-78))\/(4\/22). Which is bigger: d or y?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -22\/9 + 163\/63. Let k(g) = g**2 - 11*g + 9. Let l be k(10). Is l > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -7 + 1 + -1 + 7 + -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1546430?\nAnswer: 2, 5, 154643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from rkkrkrkkrkkkkrkkkkk. Give prob of picking 2 k.\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Work out 38 * -1294169.\nAnswer: -49178422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = y - 2*y + 42. Suppose -47*o = -y*o - 75. Calculate the greatest common factor of o and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -3 - 1 - (-9 - (7 - 3) - 33)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: (-24)\/6 + (21\/9 - 0)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*o**5 - o**5 + 3*o**5)*(-10 + 0 - 1).\nAnswer: -44*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-4*(sqrt(156)*2 - sqrt(156) - sqrt(156)) - sqrt(156) - (sqrt(156) + sqrt(156)*-2)*1)\/(-3*(sqrt(12) + 1*sqrt(768) + sqrt(768))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -15 divided by 29?\nAnswer: -15\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*k + k**4 + 2*k)*(-3 + 1 - 2).\nAnswer: -4*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {y: 2, r: 1, n: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 100531659?\nAnswer: 3, 17, 1971209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -75 = 5*c - t - 3*t - 70 + 73, 14*c = -2*t - 192 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.01 + -1.01. Let j = -31\/3 + 32\/3. Let v be 8\/2 + 558\/(-126). What is the nearest to j in v, -0.2, x?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1000010001 - -11?\nAnswer: 1000010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -1110 + 101?\nAnswer: -1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1001 - 110000000010011?\nAnswer: -110000000011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 76233686 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x = -13523\/5 + 2805. Let p = x + -8514\/85. Let 2\/17*z + 0 + p*z**2 = 0. Calculate z.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*j = -35*j + 115. Let w(k) = -k**3 + 5*k**2 + 3*k - 5. Let r be w(j). Solve 0*i = 2*i + r for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = -2*y - 11. Let a be i(12). Let p be (-2)\/(-7) - 95\/a. Suppose -1274 = -p*k - 4*k. What are the prime factors of k?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 144.8*-12.\nAnswer: -1737.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -61 + 60 - (-1 + 3 - 9)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -24 + (46 - 16 - 11) + (-2 - (6 + 0))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 20 - 19 - (2 + -2 - -11).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 4535 and 7256?\nAnswer: 36280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Divide 27952 by 16.\nAnswer: 1747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -1cc5da - -54?\nAnswer: -1cc586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round -2938043.088 to the nearest 10000.\nAnswer: -2940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o = -925 - -5742. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 25*t**3 + 14*t - 8*t**3 + 17*t**3 + 5*t**3 - 13*t.\nAnswer: 39*t**3 + t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) be the first derivative of u**5\/10 + 5*u**4\/24 + u**3\/18 - u**2\/12 - 11. Suppose a(r) = 0. Calculate r.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v + 9*c + 162 = 13*c, -5*c + 15 = 0. Suppose v*y - 27*y - 3978 = 0. List the prime factors of y.\nAnswer: 2, 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (18\/12)\/(2\/(-16) + (-69)\/1656)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*t + 5*q - 164, 7*t + 37*q = 64*q - 29*q + 44 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 1906 a factor of 98118974?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 0.5, -76.8, -0.2 in increasing order.\nAnswer: -76.8, -0.2, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 319 is divided by 81?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = k**2 - 9*k - 7. Let y be x(10). Suppose -v = -0*v - y. Solve -3*t = 9 - v for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 4*r**5 + 44*r**4 - 412*r**3 - 44*r**2 + 408*r = 0. What is r?\nAnswer: -17, -1, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 334, 435, 536?\n\"Answer: 101*j + 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g = -261 - -618. Let l = g + -33. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: (-3*(-18)\/81)\/4\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k = 5.53 + -6.53. Which is the nearest to 1? (a) 1 (b) k (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 4 by 657.\nAnswer: 4\/657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = x**2 + 9*x + 5. Let v be l(-8). Let b = v + 6. Let a be (b\/1)\/((-45)\/6). What is the smallest value in 1\/2, -5, a?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.16 * 633\nAnswer: 101.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m - 5 = -2*o, 0 = 4*m + o - 2 + 6. Let u = 20 - 23. Let s(t) = t**3 + 2*t**2 - 4*t. Let q be s(u). Put q, -2, m, 5 in descending order.\nAnswer: 5, q, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = u**3 - u**2 - u + 4. Let o be s(0). Let i = 6 + 3. Let v = -6 + i. What is the biggest value in v, -0.2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*g - 15 = -a, -4*a - 5*g = -g + 60. Let o = a - -12. Let p(d) = -d + 16. What is the least common multiple of o and p(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -16.3 times -3.724\nAnswer: 60.7012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Multiply 8 and -83547.\nAnswer: -668376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -2 - -0.6277793?\nAnswer: -1.3722207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -779117*g**2 - 3656165 wrt g.\nAnswer: -1558234*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -4f75 + 5?\nAnswer: -4f70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Does 32 divide 1120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1043650 is divided by 615?\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h - 3*g = 50, 4*h - 86 = -g - 0*g. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from zzoozo. Give prob of picking 1 o and 3 z.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*v**2 - 2 + 2)*(8 + 11 + 196 - 42)*(-2*v + 5*v - v + (6 - 6 - 3*v)*(3 + 0 - 2)) to s*v**2 + w*v**3 + o*v + b and give w.\nAnswer: -346","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g = 51 - 47. What is the greatest common divisor of g and 100?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u - 6*u - 9*u = 0. Let 0*c**2 + u*c + 2\/3*c**3 + 0*c**4 - 2\/3*c**5 + 0 = 0. What is c?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 1891 - 1841. Solve p*x = 54*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -5\/11, -40, -4\/5, 0 in descending order.\nAnswer: 0, -5\/11, -4\/5, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(2736) - (sqrt(2736)*-2 + -3)) + sqrt(2736) + 1 + sqrt(2736) + 0)**2 + -5.\nAnswer: 480*sqrt(19) + 68411","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Multiply -10.27 and 0.3.\nAnswer: -3.081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:24 PM and 8:00 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p + 3 = j - 2*p, -3*j - 5*p = -9. Suppose 4*i + 758 = j*b, -b + 4*i - i = -256. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = 8*t**2 - 2930*t + 14467. Give r(5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -45*v - 126 + 396 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 11782 divided by -130.\nAnswer: -5891\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate (69 - (-98 + 209)) + (-2 - 35).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-7 - 2) + -1764 + 1772.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 63919 divided by -3454\nAnswer: -63919\/3454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x = 1860552 + -1860549. Let z be (3 - 2) + (-5)\/(-4). Solve 3\/2*h**x + z + 9\/4*h**4 - 3\/4*h**5 - 9\/2*h**2 - 3\/4*h = 0 for h.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 737 and 2676047.\nAnswer: 737","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 o when two letters picked without replacement from obbeboebhbeegyyeeeey?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -10\/7, 0.2, 13, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 2416 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is five eighths of a decade in months?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -2 (base 10) to base 7\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 2*(-5 - 3415\/(-10)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify i**(-2)*i**4*i*(i\/(i*i*i*i**4\/i*i))\/i*i*i*i\/(i\/(i\/i**(1\/4)*i))*i assuming i is positive.\nAnswer: i**(3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1337 - -1336.9496. Round t to three decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = 13*o**3 + 196*o**2 + 10*o - 72. Calculate f(-15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = -21*u + 65. Let w be t(9). Calculate the smallest common multiple of 302 and (9 + w\/12)\/(1\/(-6)).\nAnswer: 1208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 43038299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -2339.3 and -357?\nAnswer: 835130.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put 3, -4, -197, -2\/7, -4\/9, 0.1 in decreasing order.\nAnswer: 3, 0.1, -2\/7, -4\/9, -4, -197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-v**3 + v**3 + 2*v**3)*(-40848*v - 40038*v + 64161*v) to the form z + b*v**2 + w*v**4 + d*v + x*v**3 and give w.\nAnswer: -33450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 112022002 (base 3) to base 11\nAnswer: 7917","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*o - 4 = -299*u + 295*u, -4*u - 2*o = 20 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = -i**3 + 8*i**2 - 10*i - 7. What is n(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*k = -186 - 34. What is p in -10*p**4 + 314*p**2 + 8*p**5 + 324*p**2 - 624*p**2 - k*p**3 + 14*p - 4 = 0?\nAnswer: -1, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**(7\/2)\/(v\/(v**(-9\/2)*v)))\/((v*v**(2\/5))\/v)**(2\/107)*(v*v**(-6)*v*v**(9\/2))**(-45) assuming v is positive.\nAnswer: v**(-25153\/1070)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 149218429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((c*(((c\/((c\/(c\/(c\/c**(-1))))\/c))\/c)\/c)\/c)**(15\/4))**(-12\/11))**(-2\/31) assuming c is positive.\nAnswer: c**(-180\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = -18147*w + 36304*w - 18155*w. Let u(m) be the second derivative of 7*m**4\/12 - m**2\/2 - m. Let r(q) be the first derivative of u(q). Give r(d(y)).\nAnswer: 28*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -115, -323, -715, -1297, -2075, -3055, -4243, -5645?\n\"Answer: -u**3 - 86*u**2 + 57*u - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2 - -1 - (-16 - (-15 - -2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -13059 divided by 32?\nAnswer: -13059\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from sssosososso. What is prob of sequence soso?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) be the second derivative of -11*t**7\/21 - 4*t**6\/15 + t**3\/3 + 37*t**2 + 543*t. Find the second derivative of z(b) wrt b.\nAnswer: -440*b**3 - 96*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = 5*k**2 + 3*k - 92. Let m be t(-5). Solve m = -288*b + 282*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 29\/2 of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m = -20.24 - -7.94. Do m and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -h + 6 = -5*c, h + 3*h = 3*c + 7 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Put -2\/7, 0.1, 111, -3, -4 in decreasing order.\nAnswer: 111, 0.1, -2\/7, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d = 20.81 - -1103.19. Let p = d + -1128.948. Let t = p - -5. What is t rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 1606, 3029, 4446, 5857?\n\"Answer: -3*d**2 + 1432*d + 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 1.6, 0.1, -1\/3.\nAnswer: -1\/3, 0.1, 1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express (d + 0*d - 2*d)*((-2 - 3 + 3)*(-3 - 2 - 2) - 6 - 14 + 9 + 2 - 4 + 1) as a*d + f and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5697313 - 5697313 - d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 3*f**4*g**2 + 2*f**4*g + 603*f**3*g + 19254*f**2*g**2 + 2*f**2 wrt f?\nAnswer: 72*f*g**2 + 48*f*g + 3618*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a be (65\/50*42)\/((-12)\/(-120)). What is the greatest common factor of a and 294?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 6\/(-36) - (-14 - 1859\/(-132)). Which is the closest to -2\/7? (a) r (b) -5 (c) 0.2 (d) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 5499.26671 + -5499. What is w rounded to three decimal places?\nAnswer: 0.267","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = -10*l**2 + 473*l + 21. What is t(47)?\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -376, -726, -1076, -1426?\n\"Answer: -350*p - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0.0149858 + -0.015. Round d to 6 decimal places.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 2\/3 - 45\/27. What is the closest to a in 1, -1\/6, 2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.18379 - 0.03379. Let h be ((-4)\/6)\/((-11)\/(-3)). Which is the second biggest value? (a) k (b) h (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ymmytmm. What is prob of sequence yyt?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 342 minutes after 8:25 AM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Rearrange u**3 - 21*u**2 + 3*u**4 - 2*u - 3*u**4 + u**4 + 2*u**4 to k*u + y*u**4 + n*u**2 + t*u**3 + p and give n.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g = 57 + -61. Let r = 1.1 + 6. Let q = r + -7.3. Which is the fourth biggest value? (a) 4 (b) g (c) q (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.091, 14202\/11, -2\/7.\nAnswer: -2\/7, -0.091, 14202\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 2399952 divided by 4?\nAnswer: 599988","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mf when two letters picked without replacement from {m: 3, l: 1, k: 6, a: 1, f: 1, d: 4}?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -0.5, 2, 2\/1951, 1, 6, 1.4 in decreasing order.\nAnswer: 6, 2, 1.4, 1, 2\/1951, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = 70*h - 12*h - h**2 + 9 - 60*h. Determine l(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xqbb when four letters picked without replacement from nxxbbxbnbqbqb?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-16)\/(-7) + (-6)\/21. Suppose -2*t = f + 2, -2*f - y*t - 20 = -4*f. What is the remainder when 11 is divided by f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 5586869683\/325359762 - -5896\/136591. Let u = s - 19\/397. Find the common denominator of -81\/22 and u.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c - 235 - 50 = 0. List the prime factors of c.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((y\/(y**4*y*y)*y)\/y)\/(y**28\/y))**(1\/40) assuming y is positive.\nAnswer: y**(-4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence mmq when three letters picked without replacement from {q: 15, m: 5}.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -3*j**2 + 492*j - 121*j**3 + 493*j - 952*j wrt j?\nAnswer: -726*j - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 12156899 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 291 + 298 = h + 5*c + 578, 14*c = 56 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 25150894?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 9 and -14873.51?\nAnswer: -133861.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3444610?\nAnswer: 2, 5, 13, 26497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -1162 = -29*m - 930 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1524679 is divided by 225.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = -14*s**2 + 120*s - 64. Let f be v(8). Solve f = -89*o + 68*o - 84 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.3 take away -1.8617?\nAnswer: 1.5617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j be 2\/(-12) + 5554\/33036. Let k = -228467\/22024 - j. Find the common denominator of 71\/18 and k.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-91)\/(8 + 5))\/(14\/12*-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a + 9 = 3. Suppose -4 = -b - a. Find f, given that -2*f**2 + 32 - 6*f**4 + b*f**5 + 6*f**3 - 32 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 446173 is divided by 140?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) be the second derivative of -w**3\/2 + 9*w**2\/2 + 19*w. Let v be l(2). Calculate the highest common divisor of 6 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -1638, -6375, -14276, -25347, -39594, -57023?\n\"Answer: -s**3 - 1576*s**2 - 2*s - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1364?\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: a524 (base 13) to base 5\nAnswer: 1212340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:42 AM and 9:27 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1491, 3012, 4557, 6126, 7719, 9336?\nAnswer: 10977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 34869785 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*m - 15 = 0, 0*y - 15 = -2*y - 3*m. Calculate the least common multiple of 27 and y.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 12.47 + 81.\nAnswer: 93.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 10895, 10893, 10891, 10889, 10887?\nAnswer: 10885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i = -4 + -1. Let x = 5460 - 3073979\/563. Let v = 1149\/12949 - x. What is the second smallest value in v, 0.36, 3, i?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = 3*i - 19*i + 11*i - 1. Suppose 3*x + x = 8. Let a = x - 1. Calculate k(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 21292, 42576, 63860, 85144?\n\"Answer: 21284*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in 0.5, 5\/529, -2\/17, 0.1, -0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) be the first derivative of 2*y**3\/3 - 7. Let m(o) = -o + o + o + 0. Give b(m(a)).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*h - 8\/7*h**3 + 10\/7*h**2 - 4\/7.\nAnswer: -2*(h - 2)*(h + 1)*(4*h - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = 0*m**3 + 7*m + m**3 + 0 - 5 - 7*m**2. Let k be q(6). Let l be k - 3\/((-30)\/(-4)). What is the biggest value in -2\/5, l, 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in 0.03, 2\/5, 3\/2, -9\/7, -650?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 63 a factor of 1216611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 76541089?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = -6*o + 2. What is l(6)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is next in 17203782, 34407532, 51611282, 68815032?\nAnswer: 86018782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Factor s + 1\/8*s**4 - 3\/8*s**2 - 1\/4*s**3 - 1\/2.\nAnswer: (s - 2)*(s - 1)**2*(s + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = d**3 + 13*d**2 + 21*d - 52. Let f be m(-14). Let q = f - -569. Solve q*l = 25*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x**0*x)**(2\/5)\/(x**1)**(1\/64))\/(x*x*x\/(x\/(x\/x**(6\/5)*x))*((x*x**0)\/x)\/x)**(-1\/100) assuming x is positive.\nAnswer: x**(3219\/8000)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((75\/(-9))\/(-5))\/((-20)\/8). What is the closest to a in 1, -1, -0.19?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 8, -3\/4, 3, -0.4 in descending order.\nAnswer: 8, 3, -0.4, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = 12*x**2 + 685*x + 7613. Give s(-11).\nAnswer: 1530","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Divide 7959103 by -5.\nAnswer: -7959103\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((o**13*o)\/(o*o*o**(-3\/10)))**45)**5 assuming o is positive.\nAnswer: o**(5535\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = -a - 6. Suppose -4*g - 35 = -4*k + g, -5*k + 54 = 4*g. Suppose -k = -s - 4*s. Let c be -3*s*(2 - 1). Determine x(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -15 + 5 - 15 - -6?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Product of 477 and 45.65.\nAnswer: 21775.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 k and 3 f when four letters picked without replacement from {n: 1, f: 5, k: 2, t: 8}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = 14*d**2 + 114*d + 41. Is z(-25) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p + 0 = 4*r - 8, 3*p + 3 = -3*r. Let h = -2 + r. Which is the second smallest value? (a) 1\/6 (b) h (c) -2\/11 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -750*w + 752*w = -5*m - 90, 0 = -5*m + w - 105 for m.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Factor 1\/6*u**3 + 2\/3 + 4\/3*u + 5\/6*u**2.\nAnswer: (u + 1)*(u + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5*30\/125*15\/(-189).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/5 of a meter in centimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t = 96485 - 24609. What is the hundreds digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (175 - 5259\/30) + 1766\/20.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -12*f + 86 = 31*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -1\/127, 3, -0.2, 1, -7, 2\/15?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -59901, -239569, -539015, -958239, -1497241?\nAnswer: -2156021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h**(-4\/5)\/h)\/(h\/h**(4\/13)*h))\/((h**(1\/4)\/h)\/(h\/(h\/h**(-2\/9)))) assuming h is positive.\nAnswer: h**(-6937\/2340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k = 584 + -575. Suppose -12 = 5*v - 62. Let h = v - 7. What is the greatest common divisor of k and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = -t**3 - 2*t**2 + 2*t + 2. Let o(f) = -14*f**2 + 5*f**2 - 4532 + 9*f - 2*f**3 + 4541 - 3*f**3. Suppose -2*x - 9 + 5 = 0. Give x*o(g) + 9*j(g).\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -21110304 (base 5) in base 14?\nAnswer: -48064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 588 minutes after 8:50 PM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y = -13 - -140. Let w = -127 + y. Factor 6\/5*i**3 - 4\/5*i + w - 2\/5*i**2.\nAnswer: 2*i*(i - 1)*(3*i + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4926294*r - 4926283*r + 9852572*r.\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.4*-1000211.\nAnswer: 400084.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) be the third derivative of 2*g**5\/15 - 94*g**2. Let t(v) = 12*v - 2. Calculate l(t(d)).\nAnswer: 1152*d**2 - 384*d + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 116\/(-10)*1\/2 + 4915\/(-24575)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence nnnn when four letters picked without replacement from nnnxnnnxnnnnn.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = 3*q - 1, 4*y - 6 = q. Let z be ((-5)\/y + 2)*-18. Let j(x) = x**3 - 10*x**2 + 12*x - 13. Give j(z).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-219)\/(-44) - 5)*102. Which is smaller: -1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 15698 and 1198726?\nAnswer: 56340122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = 2*m**3 - 1 - 3*m**3 - 1 + 8 + 5*m**2 + 6*m. What is the least common multiple of (2 - (0 + -5))*1 and g(6)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = 3*b + 29. Let x be s(-9). Let u(f) be the third derivative of -1\/70*f**5 + f**x - 1\/7*f**3 + 0*f + 0 - 5\/42*f**4. Factor u(v).\nAnswer: -2*(v + 3)*(3*v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -h - h**2 + 4 + 116 + 115 + (2*h - 4*h + 0*h)*(h + 0 + 0).\nAnswer: -3*h**2 - h + 235","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 1715807 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k = 71 - -29. Does 16 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {z: 4, e: 7, i: 1, y: 2, m: 2}. What is prob of picking 1 e, 1 m, and 2 y?\nAnswer: 1\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = -q**3 + 7*q**2 + 130*q - 697. Let o be w(5). Solve 0 = -o*v + 3*x - x - 8, 5*x + 7 = 3*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 2870 and 104960.\nAnswer: 734720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1707 + 10554. Suppose h = 3*k + n + 2*n, 2*n + 20428 = 5*k. Suppose 3*b + 2039 = r, -2*r + k = -0*r - 2*b. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -2 (b) -3 (c) 44 (d) -4\/163 (e) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v = -150 - -1952\/13. Factor 8\/13*t**4 - 12\/13*t**3 + 0 + 8\/13*t**2 - v*t - 2\/13*t**5.\nAnswer: -2*t*(t - 1)**4\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 62 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000413839 rounded to 7 decimal places?\nAnswer: -0.0000414","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-4)\/3*(-27)\/6. Let l(x) = 3*x + 8. Let n(h) = 8*h + 24. Let u(z) = -17*l(z) + 6*n(z). Determine u(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1842332.5 minus -8865?\nAnswer: 1851197.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 9590663 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -3, -4, 3, -0.19?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22*o = -27*o + 30015. Is o a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + (4*sqrt(10)*-1)\/sqrt(5))**2.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Divide -549 by 2.\nAnswer: -549\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -9653311 divided by 9653311?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -54074*c = -54180*c + 2968 for c.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a be -3 + 6468\/54 - (-2)\/9. Calculate the common denominator of -31\/19 and (a\/21)\/((-50)\/(-35)).\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = -35 + 14 + 2*s**2 + 0*s**2 - 7*s + 19. Let h = 5 - 0. What is j(h)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -33364, -66785, -100206, -133627?\nAnswer: -167048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: ((-700)\/49*-1)\/(35\/(-490)*(-4)\/(-3))\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = 25*n**3 - n**2 + 21*n - 11. Let g(b) = -5*b**3 - 4*b + 2. Calculate 11*g(x) + 2*k(x).\nAnswer: -5*x**3 - 2*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 361532 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3259*i + 2092*i - 1 + 2233*i.\nAnswer: 7584*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 3 (b) -1 (c) -4\/69\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i - c + 13 = -4, -2*i - 4*c + 28 = 0. Let p be 0*(-2)\/i + 6. Let m be ((-4)\/3)\/(-2 + p\/9). Solve -5*o + 4*q - 14 = 0, 4*o - m = 3*o - 3*q for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 293 minutes before 6:17 PM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -30 = -5*o + 5*q, -7*o = -2*o + 5*q. Let l be ((-6)\/(-4))\/(o\/4). Solve -6 = -4*b - l for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h = 24.1 - 24. Which is the biggest value? (a) -3 (b) -0.08 (c) -5 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 17833639 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = 12644*k**3 - 101395*k**3 + 6*k**2 + 4*k**2 - 8*k**2. Let s be g(2). Round s to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*k = -2*q + 118, 4 = -3*k - q + 92. Let o be ((-110)\/(-165))\/((-2)\/(-26928)). Calculate the remainder when (-1)\/1 - 2 - o\/(-102) is divided by k.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-3)\/(-18)*1\/((-6)\/(-108))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*v + 12 = 6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 224221 (base 5) to base 6\nAnswer: 101153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand 10 + 1 - 30 + 19 - 3020*l + (-l - 4*l + 3*l)*(-1 - 1 + 4) + l - 1 + 1 + 2*l + 0 + 0.\nAnswer: -3021*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14 = 9*u - 12*u + 4*l, -4 = -4*u - 2*l. Let x(g) = 0*g**2 + 5*g**u - 3*g**2 + 3*g**2 - 8*g**2. Let d(n) = -17*n**2. Determine x(d(s)).\nAnswer: -867*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is thirteen fifths of a century in years?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 260 minutes after 5:13 PM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round 0.2768691 to 4 dps.\nAnswer: 0.2769","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*q - 2*g = -2*q, 2*q = -3*g. Suppose -a - 5 = q, -5*a = -5*l - 16 + 116. Solve 19*u + l = 16*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -0.3 (b) -0.0889 (c) -0.92 (d) -4 (e) 2 (f) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**21*b\/(b**(-18)*b)*b)**32 assuming b is positive.\nAnswer: b**1280","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -35\/738 and -63\/820?\nAnswer: 7380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 687006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = -2*w**3 - 22*w**2 + 958*w - 9. Give c(17).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose k = 13 - 9. Let p(a) be the first derivative of 0*a + 0*a**5 + 0*a**k - 3\/2*a**2 + 2 - 1\/3*a**6 + 0*a**3. Find the second derivative of p(q) wrt q.\nAnswer: -40*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = y**2 - 17*y - 5. Let i be h(19). Suppose -4*u - 5*q = u - 135, -u + 5*q + i = 0. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -195829613 divided by 17?\nAnswer: -11519389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 14510650 (base 8) in base 7?\nAnswer: 40112031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u = -1185.7 - 3690.3. Let b = u + 5269.8. Let g = b + -352. Round g to the nearest integer.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = -f**2 - 184*f - 8461. Let y be q(-92). Solve 0 = -5*c + 5*k + 15, y*k = -3*c + 50 - 35 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 101\/(202\/8)*10\/(-28)?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 38 divide 1180740446?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (506*k + 913*k - 397*k)*(-4 + 2 + 1).\nAnswer: -1022*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 2\/9, 15\/38, 0.11, -13?\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = -73 + 7*k - 37 + 34. What is the least common multiple of 4 and f(16)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*v - 4*f - 7109 - 6232 = 0, 0 = 5*f + 20. Is 41 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = -2*d + 5. Let i = -17 + 16. Let v = 2 - i. Let s(w) = 4*w - 6. Let x be s(v). What is o(x)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 n and 1 v when two letters picked without replacement from {n: 2, u: 8, v: 2}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l = -42782027\/580 + 73762. Let t = l + 3\/20. Let b = t - -55\/87. What is the biggest value in b, -0.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 36 + -14. Suppose -2*o - 4 = -z. What is the remainder when 25 is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) be the first derivative of -h**5\/10 - h**4\/12 + 3*h - 3. Let o(i) be the first derivative of u(i). Find the third derivative of o(a) wrt a.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = -3*s - 3. Let i(z) = -19*z - 14. Determine 2*i(n) - 13*r(n).\nAnswer: n + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d = 91846682.43 + -91837010.470194. Let u = d - 9672. Let o = u - -0.04. What is o rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: (30\/(-4))\/(249\/166)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = -3*r**2. Suppose 0 = 420*q - 256*q - 656. Let d(l) be the third derivative of 0*l**q + 0*l**3 - 1\/15*l**5 - 4*l**2 + 0*l + 0. What is g(d(t))?\nAnswer: -48*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = s + 12. Let v = 0 + -2. Let d = v + 2. List the prime factors of o(d).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = 47*h - 19. What are the prime factors of k(7)?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -11 = -g - 3, 5*g - 17 + 8 = -11*u + 9 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert 216408.8 hours to milliseconds.\nAnswer: 779071680000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1597 - 931. Is 37 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = v**2 + 2*v + 12. Let j(c) = c**3 - 13*c**2 - 16. Let u(n) = n**2 - 1. Let r(q) = j(q) - 5*u(q). Let l be r(18). Is x(l) a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) be the first derivative of 3*z**2 + 4*z - 26. Let a(w) = 13*w + 9. What is 2*a(t) - 5*u(t)?\nAnswer: -4*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 45*o + 106 = 15*o - 74 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 0.2+209\nAnswer: 209.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*x - 68 = -5*o, 43 = 4*o + 2*x - 9. Let d(a) = 7*a**2 - 25*a + a**3 + 11*a + 9*a + 13*a + o. Calculate the remainder when d(-3) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) be the first derivative of 0*c**2 + 0*c**4 + 0*c + 168 - 143\/6*c**6 + 0*c**5 + 47\/3*c**3. Find the third derivative of k(t) wrt t.\nAnswer: -8580*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 286 and 836.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = -2*g**3 - g**2 - g - 2. Let r(v) = 63*v**3 + 63*v**2 + 63*v + 126. Calculate -126*i(u) - 2*r(u).\nAnswer: 126*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((2*sqrt(304))**2 - sqrt(304))*5 + -5.\nAnswer: -20*sqrt(19) + 6075","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) = 14*v - 3. Let k(c) = -10*c + 9. Let o(t) = 5*t - 5. Let s be (28\/(-8))\/((-4)\/(-8)). Let z(l) = s*o(l) - 4*k(l). Calculate 4*g(b) - 11*z(b).\nAnswer: b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b be 6\/27 + (-21)\/(-27). Put 0.24, b, -3 in ascending order.\nAnswer: -3, 0.24, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = -7*a**2 - 6*a. Let w(s) = -s**2 - s. Suppose -4 = 7*r - 3*r. Let p(m) = r*z(m) + 5*w(m). What is the second derivative of p(n) wrt n?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 30548897 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 49 and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -113312 + 2?\nAnswer: -113310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-18 - (-6 - 6))*3\/2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 158977 and 1261?\nAnswer: 15420769","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -7*b + 20 - 34 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -129.3 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 244641?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = 6*f**2 - f - 1. Let p be x(-1). Let s(h) = -p + 9 + 2*h**2 + 5*h + 4*h**2. Is s(-3) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = -2*i + 37. What is the least common multiple of 22 - ((-1 - 1) + 3) and y(11)?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = -3*m**3 + 3*m**2 + 6*m - 7. Let n(f) = f**3 - f + 1. Let h(w) = -2*n(w) - x(w). Calculate h(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve a = -4*v + 2, -2*a - 2*v - 3*v = -1 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m = 1.4 + -1.8. What is the closest to -2 in m, 0.1, -0.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.13? (a) 4 (b) 2\/5 (c) -2\/3 (d) 6 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 24*g = 20*g - 112. Let y = -65 + 74. Calculate the remainder when (-861)\/g + (-1)\/(-4) is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -8 + 6. Let v be (2*(-2)\/r)\/(-1). Let f be -2 + (v - (-1)\/1). Let a(q) = q**2 + 3*q + 2. Give a(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 11*x + 0*x + 356*n = 357*n - 64, -25 + 7 = -2*n for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v = 256 - -141. Suppose v = -9*a + 73. Let m = a - -38. Solve -n + 9 = m*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 53 + -45. Solve c + o = -c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-38 - -34) + 2*-1)\/(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 298862.7 millilitres?\nAnswer: 298.8627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 4, 41, -5, -82, -2.\nAnswer: -82, -5, -2, 3, 4, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s\/s**(2\/47))\/s**4*s**(-24)*s**17 assuming s is positive.\nAnswer: s**(-472\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:55 PM and 5:26 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -347 + 1?\nAnswer: -346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y + 2*y = 5*g - 3, -3*g + 13 = 2*y. Which is greater: y or 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 2 (b) 0.3 (c) 1\/19 (d) -3 (e) -0.04 (f) -0.01 (g) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort 22, -29, -2 in decreasing order.\nAnswer: 22, -2, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: (-4)\/(-10)*(-330)\/(-33)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 218710?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = -f - 4. Let s(g) = -g**2 - 4*g - 6. Let x be s(-4). Let m be r(x). Solve -2*z - 10 = -m*d, 2*z - 3*d + 11 = -0*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 3566277*p**4 + 43325476*p wrt p.\nAnswer: 42795324*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 v and 1 z when two letters picked without replacement from {c: 4, z: 3, v: 1}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -2*t**4 - 84*t - 725.\nAnswer: -8*t**3 - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 19470564643 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g**(-5)\/(g**6\/g))\/(g*g**(-1\/4)\/g*g**(-1\/4))*(g*g*g\/(g\/g**0))**(-45)*(g\/g**(1\/2))**21 assuming g is positive.\nAnswer: g**(-89)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is (2\/58)\/((-5878)\/(-25739762))?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -h + 5 - 4. Let x be 3\/((-5 + h)\/4). Let d be (-36)\/(-54) - 4\/x. Is 5\/4 less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -477 + 756. Let y = v - 279.3. Let u = -282\/7 + 40. What is the closest to 1 in u, y, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 o when three letters picked without replacement from {a: 11, v: 1, o: 3}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 792564 to the power of 1\/3, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 235337479?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 12 and 46.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 2555258 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -84*f**3 - 562*f**2 - 57*f**3 + 321*f**2 + 241*f**2.\nAnswer: -141*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = s**3 - 22*s**2 + 4. What is t(22)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 255 is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -355*m + 17958*m**2 + 1418*m - 355*m - 350*m - 356*m.\nAnswer: 17958*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) be the second derivative of -625001*p**3\/6 - 4*p**2 - 2*p. Let k be f(-8). What is k rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millennia are there in 4128.35 decades?\nAnswer: 41.2835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -10301 (base 4) to base 15\nAnswer: -155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 1565 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: Multiply 2 and -829.429.\nAnswer: -1658.858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 3353*s**3*u - 3284*s**3 + 9*s**2*u - 38*s*u - 253255*s - 2 wrt s?\nAnswer: 20118*s*u - 19704*s + 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -3302055 or -3302056?\nAnswer: -3302055","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 127905?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 e and 2 a when four letters picked without replacement from {e: 1, y: 1, a: 1, q: 2, d: 1, g: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 2018813 (base 11) to base 12\nAnswer: 1241755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 5783713 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -16*a**3*n**3 + 6*a**3*n - 15*a**2 + 11*a*n**3 + a*n**2 - 2*n**2 wrt a?\nAnswer: -96*n**3 + 36*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or -3\/379?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 24*i**2 + 4*i**4 + 8*i**3 - 2*i**4 + 2*i**4 wrt i.\nAnswer: 96*i + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 25*a - 10*a + a - 8*a + a - 36 to the form r + h*a and give h.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 h and 1 k when two letters picked without replacement from iiikkhkfkvi?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -t*w**3 + 32672*t*w**2 + 3*t*w - 30*w**4 - 346*w**3 wrt w?\nAnswer: -6*t - 720*w - 2076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 173\/3960 and 58\/21.\nAnswer: 27720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is six fifths of a centimeter in millimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of ((-3)\/6)\/(1\/(-108)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify q**24\/q**24*(q**(-2\/15)\/q)**35 assuming q is positive.\nAnswer: q**(-119\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = -265*l**2 - l - 428. Let x = 426 + -417. Let q(z) = 66*z**2 + 107. Let n(r) = x*q(r) + 2*u(r). What is the second derivative of n(b) wrt b?\nAnswer: 128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = z**2 - 2. Let i(a) be the third derivative of -a**6\/120 + a**5\/60 + a**3\/6 - 4*a**2. Let c = 2 + 0. Let y be i(c). Calculate t(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p + 4*z + 16 + 8 = 0, 0 = p - 5*z - 18. Let m(t) = t**3 - 7*t**2 - 2*t + 4. What is the tens digit of m(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = -4 + 4 - 26*d**2 + 28*d**2. Let l(y) = -6*y. What is u(l(r))?\nAnswer: 72*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s = -67.4 - -68. Let l = 0.218 + 0.082. Let j = -0.1 - l. Which is the fourth biggest value? (a) -1\/3 (b) j (c) 0.5 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 3051 - 3048. Let c(o) = 0 + 7 - 10*o - 2 - 2. What is c(d)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-63314)\/(-8) + (-21)\/(-28). Let i be 5702\/(15820\/r + -2). Let d = 17213133 + i. Round d to the nearest one million.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*b + u - 3*u + 6 = 0, 0 = -3*u for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 1143400, 1143420, 1143440, 1143460?\n\"Answer: 20*c + 1143380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -3087, -3084, -3079, -3072?\nAnswer: -3063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*f - 5*g = 7*f - 18, 4 = 2*g for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Does 1769 divide 57442968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -2\/9, -52, 12, -2, 172, -5?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p = -253.6 - -254. Let x = -18 - 12. Let s = x + 28. What is the closest to s in p, -0.3, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 46 a factor of 27211024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 10 * -1750856\nAnswer: -17508560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = -9*q**2 + 13*q + 2. Let s(o) = 7*o**2 - 13*o - 3. Determine -3*p(n) - 4*s(n).\nAnswer: -n**2 + 13*n + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w = -69\/7 - -10. Let u = 8 + -12. What is the nearest to 1 in u, w, -0.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 6770885, 6770887, 6770879, 6770855, 6770809?\n\"Answer: -a**3 + a**2 + 6*a + 6770879","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = -2*z - 1. Let u(x) = 1. Let t(y) = 2*y. Let k(i) = -t(i) - 2*u(i). Let g(j) = -4*k(j) + 5*r(j). Calculate g(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 265174400 a multiple of 640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 6914323 and 1079?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(12)\/(-2*sqrt(3))*-2)\/(-5*(sqrt(500)\/sqrt(10) + sqrt(2)))*-2.\nAnswer: sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {o: 2, d: 9}. Give prob of picking 1 o and 1 d.\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 893777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 - 1 - (13 + -2 - 8 - 9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = -23*a - 15. Let f(t) = 11*t + 7. Let l(i) = -2*d(i) - 5*f(i). Find the first derivative of l(x) wrt x.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = 18*z**2. Let o(t) = 6*t - 4. Let l(h) = -h + 1. Let x(f) = -4*l(f) - o(f). What is x(v(y))?\nAnswer: -36*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 1033536779 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (30*z - 63*z + 65*z)*((-2*z - 1 + 1)*(1 - 1 + 2*z) - 14*z + 8*z**2 + 14*z).\nAnswer: 128*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n be 8\/44 + 0 - 11652\/(-44). Suppose -5*a = 2*z - 561 - 899, 5*z + n = a. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = b + 19. Let q be n(-7). Suppose -5*m + 516*l = 515*l - 19, 2*m = l + 10. Solve -m - 9 = -q*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 75 - 23. Suppose 4 = 7*h - v. Factor -4*n**3 + 2 + 16*n - h - 4*n**2 + 22.\nAnswer: -4*(n - 2)*(n + 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -86 + 154. Let z = l - 58. Suppose z*b = -29 + 139. Does 5 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + 2*((sqrt(5) - (-4 + sqrt(10)\/sqrt(2))) + -1 + -1 + 1 + 2).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-11)\/6*(-171)\/418 - 177\/12.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*t**2 - 3*t**3 - 36*t**4 - 43*t**4 + t**3 + 4 + 76*t**4 + 2*t to the form a*t**3 + i*t**2 + q + v*t + z*t**4 and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(((sqrt(95) + 1*sqrt(95))*-5 - sqrt(95))\/(4*sqrt(245) + sqrt(245)) + -1).\nAnswer: 1 + 11*sqrt(19)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7 = -3*t + 20. Let v(g) = g + 10. Let i be v(-7). Suppose -i*x = -t*x + 222. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {a: 4, q: 4, u: 11}. What is prob of picking 2 a and 2 q?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = -11915*d + 8590712. Determine m(721).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -316, -324, -344, -382, -444, -536, -664?\nAnswer: -834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t = -2842 - -2009. Let m = 2008 + t. List the prime factors of m.\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 71 - 49. Calculate the least common multiple of 20 and d.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2811*y**2 + 0*y**3 + y**3 + 1407*y**2 + 1404*y**2.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence at when two letters picked without replacement from taaaaaaaaaaaaaa?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-2468)\/24*-3 - 104\/156. Is 307 equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 3 - -21?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1396 + -1397)\/(1\/(-33))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Express -12*g**2 - 3 + 2 + 2 - 3 + g in the form c + l*g + k*g**2 and give k.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 6 - (22 - (5 + -8) - 4).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is (14 - ((-14 - (-8 + 2)) + 1)) + 9?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 12 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Does 10 divide 4120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = -3*y + 3. Suppose -h = h - y, 5*f + 5*h = 10. Let d be (4 + (-76)\/20)*-3. Which is the second smallest value? (a) f (b) d (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -38*q = -43*q - 3*t - 37, 25*q + 183 = -10*q - 2*t for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = 8*l**3 - 10*l**2. Let s(m) = -m**3 + m**2. Determine -30*s(p) - 3*t(p).\nAnswer: 6*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -20412 - 5?\nAnswer: -20420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 6 - (-5 + 2 + 4 + -5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 0.3048988 millennia?\nAnswer: 304.8988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*n**3 + 245*n**2 + 19*n**3 - 21*n**3)*(n - 3*n + 0*n)*(0 + 0 - 1).\nAnswer: 4*n**4 + 490*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 730499713?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*s - 18*s = -80. Suppose -d - 2*w + 11 = 0, 2*d - 6*w + 7*w - s = 0. Solve 0*q + 18 = 2*r + 4*q, d*r + 4*q = 21 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) 41 (b) 3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 2 - 13\/(-4)*44\/(-55)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -9*q + 7*q + 20. Suppose -q + 4 = -a. Let i = a + 23. Is 25 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-3 - -1)*(-2 + 0). Let w(z) be the first derivative of -z**3\/3 + 2*z**2 + 3*z + 3. List the prime factors of w(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + 3 - 2)*(-2*x**2 + x**2 - x**2).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 2633001252?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 40.2405994 rounded to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) be the first derivative of a**10\/560 - 11*a**6\/360 - 5*a**3 - 4. Let w(q) be the third derivative of m(q). Find the third derivative of w(s) wrt s.\nAnswer: 1080*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 29 - 34. What is the closest to -0.05 in -3, 4, i?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.19 * 520\nAnswer: 98.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -7, 10, 25, 38, 49, 58?\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 1 + 1243031324?\nAnswer: 1243031330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z = 14.96 - -0.04. Let v = z - 16. Which is bigger: v or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -120325*g + 120345*g = -60 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = n**3 + 5*n**2 - 6*n + 2. Suppose -5*z - 5*g = 45, -3*z - g - 2 - 19 = 0. Let a be i(z). Let q be 8\/(-20) - (-27)\/5. Solve -q*j + a*j = -12 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3 - y + 3*y - 2 + (-4 + 1 + 7)*(18*y - 13*y + 20*y) to the form h + l*y and give l.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Does 4 divide 57830108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Put together -0.21 and 0.80463062.\nAnswer: 0.59463062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (h**2 + 2*h**2 - 2*h**2)*(-12 + 6*h + 12) - 2*h**3 + 4*h**3 - h**3 to the form z*h + q + n*h**2 + y*h**3 and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -3*1\/(-6) - (-13)\/(-22)\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Work out 26.3 * 0.0062.\nAnswer: 0.16306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-35)\/100)\/((-97)\/388)*-25.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = i**2 - 2*i + 2. Let h be g(2). Suppose -p + 4*v - h*v = -10, -2*p + v = -14. Suppose 70 = -34*d + 39*d. Solve -d = -4*c - p for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1197 and 385371.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 1191835000 rounded to the nearest 1000000?\nAnswer: 1192000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) -1\/6 (b) -1.2 (c) 2 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5 + 6 + 1)*(-4*l + l + 2*l)*(-1 + 5 - 3)*(-28 - 42 - 74).\nAnswer: 288*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round 6.07 to one decimal place.\nAnswer: 6.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 36 = 3*s - u, -47 = -3*s + 3*u - 5 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00000583779 to 7 decimal places.\nAnswer: -0.0000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 0.06, 0.3, 55188, 0.5, -0.3, 1\/21?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y = -141.1 + 151. Let i = y + -7.63. Let p = i - 2.26999526. What is p rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 13 a factor of (2 - -569)*(30 + -27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-42 + 42 - 46*r)*(2 - 1 - 2 + 6 - 1 - 4 + (-4 - 3 + 4)*(2 - 2 + 1))*(-2*r**2 - 3*r**2 + 6*r**2).\nAnswer: 138*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 6065532 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 752024160 a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -9 in 30, -2\/5, 4, -1002?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: (-78 - -6)\/(-8) + 2081\/(-231) + 8\/(-44)\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -233, -928, -2085, -3704, -5785, -8328?\nAnswer: -11333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -60462115 (base 7) in base 3?\nAnswer: -100110020010201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -25923, -25926, -25929, -25932, -25935?\n\"Answer: -3*h - 25920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 49536 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 163150 is divided by 132?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) be the third derivative of j**5\/60 - 5*j**4\/24 - j**3\/6 + 2*j**2. Let z(s) be the first derivative of n(s). List the prime factors of z(8).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 117 minutes after 8:32 PM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 o and 1 q when three letters picked without replacement from {w: 2, o: 10, q: 4}.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 18*38\/60 + (-4)\/10.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = -96*x - 3*x**2 + 5*x**2 + 47*x + x**2 + 54*x. Let q(r) = 7*r**2. What is q(y(c))?\nAnswer: 63*c**4 + 210*c**3 + 175*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -13 - (-173 - -166 - (-1 + -4)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -3, -8, -17, -30?\n\"Answer: -2*z**2 + z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Does 80 divide 37840211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 12579 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = 1792*z - 1789*z - 3 + z**2 + 6. Let v(u) = -3*u**2 - 8*u - 8. Suppose 9*m - 7*m = 2. Let a be (0 - -7) + (m - 0). Calculate a*y(t) + 3*v(t).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*-2*sqrt(17) - sqrt(119)\/sqrt(7)*4)**2 + -1.\nAnswer: 4351","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 23229 is divided by 89.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 86 + 53 = 24*p + 67. Let u(m) = m**3 + 5*m**2 - 9*m - 9. Let x be u(-6). Solve 3*a + p*g = 0, 3*a + g = 3 - x for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (l - l + 2*l)*(-11*l**4 - 5*l**4 + 4*l**4) + l**4 - l**4 - 2*l**5 + (-l**3 + 2*l**3 + l**3)*(2*l - 2*l - l**2) + l**5 + 0*l**5 + l**5 + 4 - 4 - 2*l**5.\nAnswer: -28*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((1\/4*-1)\/(1330\/1680))\/1.\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*l + 2*k - 180 = 0, l - 2*l = 3*k - 50. Let i = -39 + l. Solve 0*v - i*v = h - 12, 0 = -5*h + 5*v for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) be the second derivative of 2*c**5\/5 + c**4\/12 - 2*c. Let q be h(1). Suppose -4*x = -q - 15. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 607787 to the nearest integer?\nAnswer: 780","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 416967784?\nAnswer: 2, 367, 142019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is d in 2*d**2\/9 + 812*d\/9 + 82418\/9 = 0?\nAnswer: -203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 2299823 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((b\/(b*b**(-1\/3)))\/b)\/(b\/b**(-2\/7)*b))\/(b**0*b)**(5\/3))**50 assuming b is positive.\nAnswer: b**(-4850\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o + 1776 = o. Let n be -82*14 - (-1 - 1). Let y = n - o. What is y rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5 = -r + s, -12*s + 3 = -3*r - 15*s for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -2031022033 - -1?\nAnswer: -2031022032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = 57664*n + 2191245. Determine c(-38).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -32\/5, 1226, 2, -0.1, -0.5, 3?\nAnswer: 1226","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -121201120122110 (base 3) in base 2?\nAnswer: -100001111010000001110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {m: 12, b: 3}. Give prob of picking 2 b.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 1.38*11866\nAnswer: 16375.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert 23.33975 tonnes to milligrams.\nAnswer: 23339750000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d\/(d\/(d*d*(d**(-1)\/d*d)\/d*d))*d)**(4\/29)\/(d**8*d**(1\/5))*((d**(-2\/5)*d*d*d*d*d*d)\/d*d)**(-34)*d\/d**(1\/2)*d\/d**4 assuming d is positive.\nAnswer: d**(-58239\/290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 30*g + 35*g + 1205 + 355 = 0 for g.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 96103224 and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:36 AM and 5:06 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -287*l**2 + 285*l**2 - 4360939542932 + 4360939542932.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2\/36)\/((-5)\/(-45))*-2*17.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -3.6132 and 3?\nAnswer: 6.6132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Does 17 divide 21284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 2278193 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = 0*l + 7 + l**3 + 0*l**3 + 2*l. Let f(i) = 5*i**3 - 2*i**2 - 9*i + 36. Let w(m) = m**2 + 10*m. Let n(u) = -f(u) - 2*w(u). Calculate -2*n(d) - 11*t(d).\nAnswer: -d**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -91\/1248360 and -1\/416120.\nAnswer: 1248360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -67*b + 68*b + 7 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -685*b**4 - 1042829*b**3 + 1066365*b**2 - 22851*b = 0. What is b?\nAnswer: -7617\/5, 0, 3\/137, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 586 minutes after 10:41 PM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let -4*n**5 - 20704*n**4 + 7434428*n**3 - 630606856*n**2 - 2612302768*n - 2642371552 = 0. Calculate n.\nAnswer: -5518, -2, 173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a = -5429 - -5428.7. Let p = 0.3 + -0.1. What is the second biggest value in 7, -3, a, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 587785 - -132987.\nAnswer: 720772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} {"text":"Question: Simplify (r**(3\/40))**(-2\/71) assuming r is positive.\nAnswer: r**(-3\/1420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {n: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 69 and 667.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = m**3 + m**2 - 45*m + 79. Let o be v(2). Suppose -2*d = -2*n + d + 13, 0 = -3*d - 9. Let p be (2 + -5)\/(n\/(-2)). Sort -4, p, o.\nAnswer: -4, o, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -1661*l**4*r - l**3 + 2*l*r + 7*r - 33 wrt l?\nAnswer: -19932*l**2*r - 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is -7\/13 not equal to 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*s = -0*s + 36. Suppose 3*x + s = 6*x. Let w be 2\/2 - x*-7. Round w to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -449399, -898816, -1348255, -1797722, -2247223, -2696764?\nAnswer: -3146351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-12)\/(1 - (1 - 1)). Let t be v\/9*(-6)\/1. Solve -u = 3*u - t for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-10230)\/(-132)*18\/(-45).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -749, -1503, -2259, -3017, -3777?\nAnswer: -4539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -5.2486457 rounded to two dps?\nAnswer: -5.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*r**2\/9 - 4484902*r\/9.\nAnswer: 2*r*(r - 2242451)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate (23 - 27) + 7 + -2 + 11.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p = -126.58 - -126.18. Let l = 0.1 + 0. Let b = l + 0.9. What is the smallest value in p, b, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = -17*f - 35. Calculate k(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*s - 2*s + 5*s - 2*s.\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: (((-24)\/90)\/(-4))\/((-18)\/(-594))\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3246.\nAnswer: 2, 3, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -16181230 divided by 26?\nAnswer: -622355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 581 minutes after 8:26 AM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w = 2506 + -1984. Calculate the least common multiple of w and 783.\nAnswer: 1566","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 25685 = -158*o + 10517. Is o < -39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 22.1 - 0.04479560829.\nAnswer: 22.05520439171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth biggest value? (a) 0.11 (b) 1 (c) -5 (d) 0.026 (e) 8 (f) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is (-550)\/2860*4\/5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-2 - -4)*6\/4. Find the first derivative of 3*d - 2*d - 3 - y*d + 3*d wrt d.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 p and 3 s when four letters picked without replacement from {a: 2, s: 8, p: 9}.\nAnswer: 42\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let 3*o**2\/7 + 1767309*o\/7 + 10603746\/7 = 0. What is o?\nAnswer: -589097, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 20 a factor of 85580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*h - h + 5*h)*(2*h**4 + 0*h**3 + 0*h**3) + (h**4 - 89*h**3 + 89*h**3)*(15*h - 8 + 8).\nAnswer: 29*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 186163571?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-8)\/10 - (-1908)\/(-90). Let a be (-6)\/(-33) + 5944\/l. What is a rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 220370*r**5 - 2835*r**2 + 7 wrt r.\nAnswer: 13222200*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) = -3*v**2 + 4*v + 3. What is g(-2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Divide 13878 by 4.\nAnswer: 6939\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d = 261 - 251. What is the third smallest value in 2, d, -1\/5, 2\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2*h**2 + 2*h**2 + 2*h**2)*(h - 2 + 2) - 4*h - h**3 + 4*h + 1317*h**3 + 607*h**3 - 705*h**3 to the form n*h**3 + u*h**2 + l*h + x and give n.\nAnswer: 1220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Add together 0.5 and 6.15.\nAnswer: 6.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 10 + -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 r and 1 z when three letters picked without replacement from rzrz?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 488 is divided by 144?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2217825 is divided by 29179.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 20032 - -213002?\nAnswer: 233100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -23593, -23591, -23589, -23587, -23585?\n\"Answer: 2*m - 23595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 214447683 to the nearest integer?\nAnswer: 599","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 568, 715, 862, 1009?\nAnswer: 1156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5832791680 + -1039.\nAnswer: -5832792719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*g - 12*g - 14 = 0. Let u be -3*48 + (-2 - g - -2). Let z = 44 - u. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 71.3 take away 0.1?\nAnswer: 71.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w\/(w\/w**(3\/4)))\/(w\/(w*w\/((w*w\/(w**(2\/13)*w))\/w)))*w**(-4)\/w**0*(w**(-1)*w\/w**1*w)\/(w**(-6)\/((w\/w**(-2\/3))\/w*w)) assuming w is positive.\nAnswer: w**(869\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m be 1 - (-165)\/(-96) - -1. Let c = -1\/32 + m. Let y = 454\/1575 - 4\/1575. What is the third biggest value in -3\/7, y, c?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together -84 and 587687.523897.\nAnswer: 587603.523897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 11*g = -54 - 1 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = 2*b**3 - 3*b**2 + b - 8. Let d be o(4). Let y be 1*-12*-6250*d. Round y to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 70487.9224 to the nearest 10.\nAnswer: 70490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 3220548 to the power of 1\/3, to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = -2754*y. Let k(o) = 3*o. Calculate t(k(m)).\nAnswer: -8262*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Product of 1 and 12157593.\nAnswer: 12157593","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = 9*s**2 - 6*s + 525. Let k(z) = 9*z**2 - 9*z + 531. Determine -2*k(m) + 3*p(m).\nAnswer: 9*m**2 + 513","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand 6*d**2 + 2*d - 3*d + 0*d + (-3*d + 3*d - 2*d**2)*(2 - 2 - 3).\nAnswer: 12*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 60032 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -1\/21, -0.2, -6, -10, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 6.930011l?\nAnswer: 6930.011","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Put -3, 213\/5, 4 in ascending order.\nAnswer: -3, 4, 213\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -3027 + 19*z**2 - 1655*z**3 - 12*z**2 - 1603*z**3 - 7*z**2 wrt z.\nAnswer: -9774*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 78 in 1, 2, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v = 44 + -38. Suppose v*h - 4*h - 3562 = 0. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3 + 6*((0 + sqrt(80) - sqrt(80)) + 2) + (sqrt(5) - (1 + sqrt(180))) + 4*sqrt(15)\/sqrt(3))**2.\nAnswer: -28*sqrt(5) + 201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*d**2 - 1025*d + 1025*d.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 27632 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = -h**2 - 10*h + 28. Let p be w(-12). Which is the smallest value? (a) 0.2 (b) p (c) 2\/7 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = -2*n**2 - 158*n - 156. Let g be z(-78). Which is the third biggest value? (a) -3\/2 (b) 197 (c) -4 (d) g (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 162 and 508410?\nAnswer: 1525230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = -2*b - 2. Suppose -4*m = -2*l + 40, 4*l - 4*m - 24 - 56 = 0. Suppose 2*o = 5*t + 4*o + 32, 4*o = 4*t + l. Is p(t) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a + 2*p = 3*a + 1, -p = 3*a - 4. Suppose -4*r - a - 31 = 0. Let x = -6 - r. Solve c = 3*m - 19 + x, -41 = 5*c - 4*m for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1764 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:45 PM and 4:09 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many millennia are there in 263.3319 months?\nAnswer: 0.021944325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 645885 and 12501.\nAnswer: 1937655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*c**3\/9 + 32*c**2\/3 + 620*c\/9 + 176\/3 = 0.\nAnswer: -12, -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l be (4\/2)\/1*-2. Let a(i) = i**2 + 5. Let o be a(l). Calculate the highest common factor of o and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify a**(-7\/3)*((a\/a**(-27))\/a)\/a assuming a is positive.\nAnswer: a**(71\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 219?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 14917\/606 or 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*g - 21 = -5*b, -2*b + 2*g = -3*b + 7. Suppose 2*c + 5*x - 4 - 25 = 0, b*c - 4*x = -10. Which is bigger: c or 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**(-4\/3)*q**(-1))\/(q\/(q*q\/q**(1\/3))*q)**(8\/9) assuming q is positive.\nAnswer: q**(-71\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3634 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (g**4 + g**4 + g**4)*(0 + 1 + 1) - 177*g**4 - 218*g**4 + 28*g**4 + 32*g**4 - 241*g**4.\nAnswer: -570*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round -0.79235 to 3 decimal places.\nAnswer: -0.792","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 69*f - 134*f = -58*f - 119 for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -10\/154159 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 188375\/20 + -6 + 4\/((-16)\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {y: 6, n: 4, z: 3, k: 4, j: 3}. Give prob of picking 2 k and 2 z.\nAnswer: 6\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 18244435.\nAnswer: 5, 11, 67, 4951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000003059688 to seven decimal places.\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-6)\/(-4)*1*4\/(-21).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -3 - -6. Suppose 2 = 5*r - m. Let s be r\/4 + (-19)\/(-4). Solve -5*g + w = 20, 6*g - 4*w + s = g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -113002*15.\nAnswer: -1695030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = l**3 - 11*l**2 + 11*l - 12. Let n be p(10). Let f be n\/7 + (-4)\/(-14). Suppose o = 8*s - 3*s - 41, 2*s + 4*o - 12 = f. Solve -5*c - s = -9*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 43229273 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 9*a - 9*a + 27*a**2 - 34*a**6 + 12*a**6 wrt a?\nAnswer: -2640*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -13 + 12 + (4 - 16) + -14\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 63414*h + 177*h**2 - 63414*h.\nAnswer: 177*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 t and 1 x when two letters picked without replacement from {t: 1, s: 1, x: 3, n: 2, m: 3, f: 7}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 502 (b) -5 (c) 107 (d) -1 (e) 0 (f) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round -28408800 to the nearest 1000000.\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2 + 4*q**2 - 2*q**4 - 2*q + 0*q**2 - 2 + 2 - 19*q**4 to x*q**4 + v*q + b*q**2 + h*q**3 + c and give x.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = -y**2 - 20*y - 38. Let h be a(-18). Are h and -8 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 3114 times -837\nAnswer: -2606418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 221983?\nAnswer: 139, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = -21*l**2 - 17*l + 5. Let q be (40\/(-16))\/((-1)\/(-2)). Let o be x(q). Let r = -175 - o. List the prime factors of r.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -2052, -6868, -14452, -24804, -37924, -53812?\n\"Answer: -1384*g**2 - 664*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) be the second derivative of 0 + 5*g**2 + 0*g**3 + 1\/2*g**4 + 9*g. Differentiate d(f) with respect to f.\nAnswer: 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u = -2*u + 10. Let r = -297 - -300. Put -1, u, r in increasing order.\nAnswer: u, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*s - 82 = -5*s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -4494.6 - -5147. Let q = a + -652. Put q, -2\/15, -5, -32 in descending order.\nAnswer: q, -2\/15, -5, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + ((sqrt(95) - (sqrt(95) + sqrt(95)*-2*-1))\/(sqrt(720)*-1))**2*-1.\nAnswer: 161\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -6 less than -196551.19?\nAnswer: -196545.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/17? (a) -9 (b) 2\/3 (c) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 121.5*-0.13.\nAnswer: -15.795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is d in -3*d**3\/5 - 51*d**2\/5 - 57*d - 105 = 0?\nAnswer: -7, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1\/118350 or -2\/13?\nAnswer: 1\/118350","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) be the third derivative of h**6\/420 + 4*h**5\/35 + 55*h**4\/28 + 242*h**3\/21 + 2*h**2 + 12*h. Factor g(q).\nAnswer: 2*(q + 2)*(q + 11)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-300)\/(-144))\/((-4275)\/(-72)).\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = v**3 + 9*v**2 + v + 2. Let t be x(-8). Let z = t - -19. Suppose -75*y = -12*y + 174 - 867. Calculate the greatest common divisor of y and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2\/45 of a hour in seconds?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = 9*k + 9. Let h be r(4). Suppose h = -8*g + 173. Calculate the smallest common multiple of g and 24\/40*30*1.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence bby when three letters picked without replacement from fbffiblfibbbiybi.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h = -5 - -13. Suppose -h*a = -3*a - 40. Suppose -9*g + 5*g + a = 0. Solve w = g*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*v + 2*v = -3*x + 3, -5*v = -3*x. What is the remainder when -2 - (-1)\/1*7 is divided by v\/(-1)*(-2)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) = -u - 9. Let y be q(0). Is y\/21 - 156\/(-21) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = 2*c. Let u(m) = 13*m + 30. Give t(u(h)).\nAnswer: 26*h + 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate (11271\/136)\/17 + -6 + 1.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 25695941587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 614902055?\nAnswer: 5, 257, 478523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 365026215 and 681?\nAnswer: 681","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = -a**3 - 31*a**2 - 72*a - 400. Let m be l(-29). Solve -5*z + m = -2*j + 34, 0 = -j + 5*z + 24 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence vll when three letters picked without replacement from oovodil?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = 66*z - 1192. Let l be s(31). Calculate the highest common divisor of l and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 34305852, 68611709, 102917568, 137223429, 171529292, 205835157, 240141024?\n\"Answer: s**2 + 34305854*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t be (0 + 1 + -1)\/(-2). Solve -3*p = -0*p - t*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-15)\/(-15))\/(1\/2). Suppose i = -4*b + 51, -k*b = i - 0*b - 51. Is i + 4\/(-3) + 9\/27 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 67.7261186 - 66.94807. Let j = -3.8125404 - i. Let p = 4.59 + j. What is p rounded to 5 dps?\nAnswer: -0.00059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 15 + 16\/(-84) + 2924\/357?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 839 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Express (3*q - 3*q + 3*q)*(2*q - 14217 + 14217 - 10*q**3) as p*q + y*q**3 + s + d*q**2 + a*q**4 and give a.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Does 19 divide 24358?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = -2*y - 3. Let c be d(4). Suppose 2*h - v - 2*v = 44, 4*v + 48 = 2*h. Let l = h + c. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -3 in -0.1, -1\/3, -2\/31?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -624, -5360, -10094, -14826, -19556, -24284?\n\"Answer: m**2 - 4739*m + 4114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -13 - -1213?\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1371*v**3 + 577*v**2 + 1368*v**3 - 576*v**2 + 1214*v to p*v**2 + u + o*v**3 + y*v and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:30 AM and 6:57 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) be the second derivative of -5*w**4\/3 + 2*w**3\/3 - w. Let y(v) = 42344 + 42337 + 42343 - 127024 - v**2. What is y(f(z))?\nAnswer: -400*z**4 + 160*z**3 - 16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -1044362 + -2?\nAnswer: -1044364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Multiply -246 and 3.\nAnswer: -738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor z**4\/5 + 202*z**3\/5 + 10397*z**2\/5 + 3880*z - 6000.\nAnswer: (z - 1)*(z + 3)*(z + 100)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*z + 4*z + 0*z)*(z**2 + 5 - 5) - 4*z**2 + 4*z**2 - 2*z**3 - z**2 - 4*z**3 + z**2 + (-2*z**2 + 5*z**2 + 0*z**2)*(-z + 1 - 1).\nAnswer: -10*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r = -174 - -254. Suppose -724096 = -21*n - 722584. What is the lowest common multiple of r and n?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*w - 4*p + 13 = -w, 24 = -4*w + 2*p. Put 2, w, -8 in decreasing order.\nAnswer: 2, w, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 29591*h + 3161401 = 1614*h for h.\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -27*a + 137 - 218 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5222 is divided by 476.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t = -752\/323 + 42\/19. Let d = -3851174\/9206469 - -2\/180519. Let h = d + 10\/51. Which is the nearest to h? (a) t (b) 4\/7 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 41\/20678416 and 48\/847.\nAnswer: 144748912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = 4*w - 19. Let b be t(5). Solve 0 = -c + 3 - b for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**(-5\/2)*m**(-11))**37 assuming m is positive.\nAnswer: m**(-999\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 602 and 23306.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -1.02334 rounded to three dps?\nAnswer: -1.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 1\/3484332 and -3.\nAnswer: 3484332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express 48715 + 478*v**4 - 48715 + (-2*v**3 + 2*v**3 - 2*v**3)*(-v - 3 + 3) + v**4 + 12 - 12 as a*v**2 + o*v + j*v**4 + u + r*v**3 and give j.\nAnswer: 481","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -171*f = 10*u - 167*f - 534, -17*u = 5*f - 915 for u.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 134*p**2 - 2 - 8 + 129*p**2 + 26 + 4*p**3 - 263*p**2.\nAnswer: 4*p**3 + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((g\/(g*g**(-1\/5)*g))**(-37))**(-4\/5))**(9\/2) assuming g is positive.\nAnswer: g**(-2664\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b be 1\/((-11)\/(-242)*2). Suppose b*y = 110 - 77. Let k(s) = -s**2 - s + 2. Let z be k(0). Solve 27 = -o + 5*w + z, -y*o + 4*w - 31 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 110 (base 3) to base 16\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a be 0 + (-6)\/18 - (-4)\/(-6). Let d(h) = -h**3 + 4*h**2 + 5. Let q(m) = -2*m**3 + 7*m**2 + 9. Let y(u) = -7*d(u) + 4*q(u). Determine y(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -1.7 + 1.5. Let w = 88\/21 + -34\/7. Put -4, x, w in ascending order.\nAnswer: -4, w, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -ab (base 15) in base 13?\nAnswer: -c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = 4*h + 6. Let l(y) = -6*y - 5. Let t(r) = 4*i(r) + 5*l(r). What is the remainder when 384 is divided by t(-4)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {t: 1, s: 17}.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Add together 6862 and 3.\nAnswer: 6865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2857*m + 2 + 14067*m - 2.\nAnswer: 11210*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = 2*r**3 - r**2 - 7*r. Let o be j(3). Suppose 3*x = x + o. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) 0 (b) 1 (c) -39\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = 2*d**3 - 240*d**2 + 480*d - 842. Give z(118).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*d**3 + 0*d - 143*d**2 - 83*d**3 - 20*d**3 + 0*d wrt d?\nAnswer: -606","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 936?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a be 8 + (3 - 2) - 2. Let t be (a - 9)\/(4\/778). Is t\/(-4) - (-9)\/(-36) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) be the second derivative of s**4\/12 + s**3\/3 - 5*s**2\/2 - 11*s. Let t be j(2). Solve 0*l = -3*l - 5*o - 12, -t*l + 2*o - 12 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 197, 212, 221, 218, 197?\nAnswer: 152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f - 6 = -6. Solve -5*y - t - 28 = f, 3*y - 4*t - 2 = y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 356 - 9. Suppose 0 = -11*p + 874 + x. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {j: 2, r: 3}. Give prob of picking 3 r.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = 2*q - 2. Let o = 8 - 11. Determine y(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -1 - -4. Differentiate -b*n + 4*n + 2*n + 2 - 2*n wrt n.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 45 + -40. Suppose -1 = -w*q + 4. Solve 4*r + q + 1 = s, 5*s = -5*r - 15 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 w and 1 d when four letters picked without replacement from {d: 3, w: 4}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -28 take away 7855221.519037?\nAnswer: -7855249.519037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = -o**3 + 8*o**2 + 4*o + 11. Let q be f(8). Let j = q + 2. Calculate the lowest common multiple of 18 and j.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 69785315 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Convert 757798.7l to millilitres.\nAnswer: 757798700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Determine o, given that 27*o**4 + 225*o**3 - 159*o**2 + 27*o = 0.\nAnswer: -9, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g = 852.084 + -852. Which is the second biggest value? (a) g (b) 0.1 (c) 0.5 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r + 34 = i, -2*i + 22 = 2*r + 2*i. What is the remainder when r is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1111000 (base 2) in base 8?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 2\/2299, 3.\nAnswer: 2\/2299, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.25 and -265.\nAnswer: 66.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put -3, 2, 1, -7, 3, 281 in descending order.\nAnswer: 281, 3, 2, 1, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -35*a - 987 = 654 + 7 + 1292 for a.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 12*g**3*v**3 + 11*g**3*v**2 - 46297*g*v**4 + 1873*v**2 wrt v?\nAnswer: 72*g**3 - 1111128*g*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is -15588 >= -15590?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-4)\/(-16)*2*0. Suppose r = 3*y - y - 24. Suppose -x + y = -3*p, -3*x + 2*p - 5 = -27. Solve 3 = -3*h - x for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*q = q - 492. Let i = q - -83. Which is smaller: i or -1\/27?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = -4*k + 21. Let t be l(6). Put t, -2, 1\/6, 5 in decreasing order.\nAnswer: 5, 1\/6, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.2, -1\/6, -2476694.\nAnswer: -2476694, -1\/6, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = -3*b - 17. Let q(h) = 1454317 - 1454317 + 21*h. Determine q(a(l)).\nAnswer: -63*l - 357","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r = 2 - -1. Suppose 0*z - 3*z = -3, 116 = r*s - 4*z. What is the tens digit of 6\/4*s\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 2.316 + -0.016. Let h = -2 + w. Which is the closest to h? (a) -1\/2 (b) -1\/5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 38, 96, 174, 272, 390, 528?\n\"Answer: 10*y**2 + 28*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let 22*s**2\/3 - 139654*s + 418896 = 0. What is s?\nAnswer: 3, 209448\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s = 18 - 16.9. Is s > 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 18330\/7 + -48519538\/18529. Let l = 361922322983\/582340 - 34181336\/55. Let m = k + l. What is the common denominator of m and -43\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = -m**3 + 16*m**2 + m - 15. Calculate y(16).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*u**3 + 92*u**2 - 9032*u - 9120.\nAnswer: 4*(u - 38)*(u + 1)*(u + 60)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 77391 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is ((-25)\/20 - 890\/120)*6\/(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.008 - -618714001?\nAnswer: 618714000.992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -14834938*f**2*g**3 - f*g + 5892*f + 3*g**3 - 12*g + 2 wrt f?\nAnswer: -29669876*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 27 a factor of 243?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 47\/918 and -95\/29546646?\nAnswer: 265919814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = -f**2 + 52*f - 466. Calculate k(11).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = 8*i**2 - 3*i - 2. Let g be v(-2). Suppose -g*b = -34*b - 38. What is the remainder when 111 is divided by b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 496266.3um to nanometers.\nAnswer: 496266300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = 17*b**2 + b - 231. Let o(k) = -32*k**2 - 2*k + 463. Give 11*c(a) + 6*o(a).\nAnswer: -5*a**2 - a + 237","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i\/i**(-3\/5)*i**(1\/7))**(-13) assuming i is positive.\nAnswer: i**(-793\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*k - y = 12 - 7, 4*k + 3*y = -9 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is thirteen quarters of a decade in months?\nAnswer: 390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express -20 + 51 - 19 - 11 + 45*a - 2*a**4 in the form g*a**4 + j*a**2 + w*a + v*a**3 + x and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -4544105, -9088203, -13632297, -18176387, -22720473, -27264555?\nAnswer: -31808633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*(1 + (-5 + -3 + -5*(sqrt(99) + 0))*-4)**2.\nAnswer: -244134 - 23760*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate (3530\/(-1412))\/(5\/46).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 179\/2142 and -79\/8484.\nAnswer: 432684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d = -2636 - -2648. Sort 2, d, -3, 4, 0 in increasing order.\nAnswer: -3, 0, 2, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine g so that 98\/5 + 2\/5*g**2 - 28\/5*g = 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 510*s = 5608 + 8162 for s.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is next in -55, -54, -51, -46, -39, -30, -19?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 250256174?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1206 - 609 - h**2 - 597.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x = 7.69 - -2.31. Which is the nearest to -2\/5? (a) -3\/5 (b) -4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (13*f + 173 - 3*f**2 + 176 - 351)*(-144 + 144 - 30*f)*(3 - 3 + 2).\nAnswer: 180*f**3 - 780*f**2 + 120*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.002 - -4.002. What is the closest to 1\/4 in -1, -2\/19, v?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -415637\/22 + 18889. Calculate the common denominator of c and 399\/(-245)*(-5)\/2.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-15)\/(-40) - (-15895)\/(-40). Let d(g) = -12*g**2 - 10*g - 25. Let f be d(-6). Is f at most as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 948839?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.2? (a) 2\/17 (b) -0.3 (c) 5 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 51\/2 of a meter?\nAnswer: 2550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x be -6 - (4 + (-9 - -1)). Let g = x + 6. Solve -g*f = 3*m + 4, -6 - 6 = -2*f - 5*m for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence abbb when four letters picked without replacement from {k: 2, b: 6, a: 10}?\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*f**2 - 17256*f - 24814128.\nAnswer: -3*(f + 2876)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 566317 is divided by 282678?\nAnswer: 961","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000000411745309 to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = -95*g + 2. Let u be a(-6). Let m = 301 - u. Let l = m + 839\/3. What is the common denominator of l and 53\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 4281392716?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {t: 11, i: 1, s: 1, e: 1, p: 6}. What is prob of sequence ips?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 942*j + 898*j + 350*j**2 - 2787*j + 947*j.\nAnswer: 350*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 0.001245191 rounded to 5 decimal places?\nAnswer: 0.00125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = -k + 16. Let q be h(-8). What is the third derivative of -21*c**5 - 42*c**5 + q*c**5 - 16*c**2 wrt c?\nAnswer: -2340*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 271 + -80. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 61, 0, -143, 79?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i = 5 - 4. Let p = i - 0.5. Put 3, 5, p in decreasing order.\nAnswer: 5, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 6\/11*t - 8\/11*t**2 + 2\/11*t**3 + 0 = 0. Calculate t.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*i - 25, 0 = 6*m - 5*m + i - 13. Put m, -8, 0 in increasing order.\nAnswer: -8, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2137, -6689, -14285, -24931, -38633, -55397, -75229, -98135?\nAnswer: -124121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 102338566 divided by 102338566?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert 450.5337 centuries to years.\nAnswer: 45053.37","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 491 minutes before 3:38 AM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-16)\/(-12)*9\/6. Suppose -c*x + 17 = -37. What is the remainder when 105 is divided by x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n**2*n**(1\/3))\/(n**0*n*n\/(n*n\/n**(1\/7))))\/(n\/(n\/((n\/(n**2\/n))\/n*n))*n\/n**5*(n*n**(2\/5)*n)**(-39)) assuming n is positive.\nAnswer: n**(10478\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) be the third derivative of -f**8\/30240 - f**7\/2520 - f**5\/12 + f**2. Let b(h) be the third derivative of o(h). Factor b(x).\nAnswer: -2*x*(x + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -411 + 410. Let i = -4.1 + 0.1. What is the nearest to -4 in 5, y, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose u = -5*x + 23, 5*x - 18 = -4*u + 59. Let b = -14 + 30. What is the lowest common multiple of b and u?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(13) + (sqrt(39)\/sqrt(3)*-3)**2)*-3 + (sqrt(13) + -4)*3 + -5.\nAnswer: -368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h = 5*z + 125, 5*z - 4 + 21 = -h. Let t = h + 35. Does 3 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 2\/12*3492\/48 and 107\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -207, -453, -811, -1281, -1863?\n\"Answer: -56*g**2 - 78*g - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is ((-16)\/40)\/(54\/(-15))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 d and 1 e when three letters picked without replacement from {e: 8, f: 4, d: 2}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 9382 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 5*i**2*j + 136*i**2 + 14*i*j - 2*j + 1 wrt j?\nAnswer: 5*i**2 + 14*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Are -2318 and -2318 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Does 10 divide 2551850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.1 - -0.02. Let z = -0.88 - w. Which is smaller: z or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -8\/5 - 2\/15*a**2 - 14\/15*a.\nAnswer: -2*(a + 3)*(a + 4)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -106, 550, -4, 16, -3, 2, -2 in decreasing order.\nAnswer: 550, 16, 2, -2, -3, -4, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 2377167 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 474314287?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert 2618.1693 months to decades.\nAnswer: 21.8180775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 4*d**4 + d**2 - 19616*d - 201602?\nAnswer: 16*d**3 + 2*d - 19616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 49271813*p**3 - 4*p + 2792599 wrt p?\nAnswer: 295630878*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = 1257 + 1254 - 2511 + 7*t**2. Let u(b) = -2*b**2 - 10*b - 10. Let p(h) = -h**2 - h - 1. Let i(a) = -20*p(a) + 2*u(a). Give k(i(n)).\nAnswer: 1792*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 23*b**2 + 2*b**3 + 18*b**2 - 53*b**2 wrt b?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*d + 7*d + 4 = -8 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*b**4 - 52*b**3 + 140*b**2 + 196*b = 0 for b.\nAnswer: -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v = -72 - -43. Let p = v - -50. Calculate the remainder when p is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 = -3*s - 117. Let f be 15\/(22\/(-8) + 2). Let h = f - s. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 12659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 332218046.\nAnswer: 2, 17, 9771119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = 2*r**2 + 4768447*r. Let x(a) = 11*a**2. What is i(x(s))?\nAnswer: 242*s**4 + 52452917*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of ((-316)\/(-6))\/((-8)\/(-1320)*10)?\nAnswer: 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 8 + (0*(-4)\/(-32))\/(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 33655?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) = -p - 1. Let w(l) = 301*l + 215. What is 215*n(q) + w(q)?\nAnswer: 86*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o be (77 - 78)*26\/6 - (-10)\/(-6). Let b(d) = 7*d - d - 94*d**2 + 95*d**2. What is b(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = d**2 - 6*d - 8. Suppose 3*r = m + 9 + 6, 2*m - 5*r + 28 = 0. Is l(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2033, -2075, -2141, -2231, -2345?\nAnswer: -2483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 575*o - 6543 = -12293 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) 2\/11 (b) 7\/18 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Divide 7125 by -475.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 11.7 minus 292?\nAnswer: -280.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n be 56\/(-16688)*(-7 + -3). Let y = 0 - 1. Which is smaller: n or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -28457 or -4\/197?\nAnswer: -28457","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) be the third derivative of -n**6\/120 - n**5\/4 - 7*n**4\/8 - 4*n**3\/3 - 8*n**2. Is 30 a factor of x(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3.819259 milligrams in nanograms?\nAnswer: 3819259","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {o: 4, y: 4, d: 12}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (10 - -2) + -18 + 39 + -48 + 13.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 5, 20, -1, 3, 7.\nAnswer: -4, -1, 3, 5, 7, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = -d**2 + 15*d + 30. Let q be y(16). Let p be (2\/45)\/(7\/q*-12). Let b = p - 253\/2295. What is the closest to b in 0, 1\/4, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n + 1 = j, 3*n = j + 4*j - 31. Suppose 24 = j*i + l, -i - 4*l + 14 + 6 = 0. Suppose 26 = i*f + 2. Solve 0 = 4*b - 20, 3*v + f*b = 2*b + 14 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 22952?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 11423 is divided by 208.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 4\/3 of a decade?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 32\/7 - 2\/7*r**2 + 12\/7*r = 0. Calculate r.\nAnswer: -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000000269239 to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = -4*z**2. Let q(m) = 2*m + 0*m - 2*m + 2*m. Determine a(q(c)).\nAnswer: -16*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (((-2)\/(-3))\/((-2)\/(-6)))\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) = 4*f**2 - 3*f + 1. Let n(l) = 8 + 4*l**2 + 3 - 11 - 2*l - l**2 + 1. Let w(j) = -2*j + 1. Let z be w(-1). Let o(r) = z*n(r) - 2*y(r). Calculate o(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = 1 + 0 + 26*y**2 - 2 - y - 25*y**2. Let l be z(-2). Let b(p) = 59*p + 12. Is b(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -66, -91, -132, -189?\nAnswer: -262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 241 (base 6) to base 13.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j = -36513 + 36512. Let b be 3\/(-2)*(-1)\/15. Put j, 5, b, -0.16 in decreasing order.\nAnswer: 5, b, -0.16, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*y**2\/7 - 4838*y\/7 + 4836\/7.\nAnswer: 2*(y - 2418)*(y - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 275089 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = -26*o**3 + 2*o**2 + 2*o + 1. What is x(-1)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -168*b*g**3*s + 10*b*g*s - 993*b*s + 12*b + 33501*g**3*s wrt g.\nAnswer: -1008*b*g*s + 201006*g*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**9*((y\/(y*y*y**(-8)*y*y))\/y)\/y)**(-12)\/((y\/(((y**(2\/3)*y)\/y)\/y))\/y**(-10))**(10\/9) assuming y is positive.\nAnswer: y**(-4228\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s + 2 = -3*m - m, 3*m + 6 = 0. Solve 7 = -n + s for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 m and 1 i when two letters picked without replacement from xeixeemmemee.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -x = -0*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 0.2885283708 rounded to three dps?\nAnswer: 0.289","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand o**3 - o**3 + o**5 + (-o + 0*o + 2*o)*(-1126*o + 1126*o + 37*o**4) + (-o**3 + o**3 - 2*o**3)*(-4*o + 4*o + 2*o**2).\nAnswer: 34*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 0, -0.4, -1, -20, -1\/96, -1.3, 12?\nAnswer: -1\/96","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k = 4986 - 1826. What is the thousands digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -151*o**2 - 151*o**2 + 301*o**2.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = w**3 + 4*w**2 - w + 3. Is t(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 4684083284 to the nearest integer?\nAnswer: 1673","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) be the first derivative of 9 + 0*i - 20\/3*i**3 + 5\/4*i**4 + 0*i**2. Factor k(r).\nAnswer: 5*r**2*(r - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = -2*m**2 - 287*m + 3666. What is o(-155)?\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 1634 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: Which is smaller: -34 or -1\/3?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify l**(-7)*l*l*l**(-12)*l*l**(-3\/11)\/l*(l\/(l*l**(-16)))\/l assuming l is positive.\nAnswer: l**(-25\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 896*z = 652*z - 1952 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 333 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -11*o + 4 = -9*o - q, -5*q = 3*o + 7 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = -4*i + 1. Let g(f) = 8*f - 4. Let v(b) = -7*b + 3. Let x(j) = 3*g(j) + 4*v(j). Suppose 46*s = -160*s - 63 + 475. Determine s*m(q) - 3*x(q).\nAnswer: 4*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Work out 197045979 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1651 + -1638 - ((1 - -1) + -2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -155248749 - -44.\nAnswer: -155248705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + 2 + sqrt(2)*-1 + 1 + sqrt(2) - -2*2*((sqrt(2) - (sqrt(4)\/sqrt(2))**2) + -5 - sqrt(2)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 977.0546 litres in millilitres?\nAnswer: 977054.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 381 + 1054*y**2 + 103 - 1054*y**2 - 683*y**4 wrt y?\nAnswer: -2732*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-4 + 5 + 1 + (1 - 2 - 4)*(4 + 2 - 4))*(-60*c**2 + 60*c**2 - 10*c**3) in the form j*c + l + p*c**2 + q*c**3 and give q.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h = -6752 + 6884. Solve 0 = 5*t - 147 + h for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 522510 - 191*m**2 - 522510.\nAnswer: -191*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((d\/(d**3*d))\/d*d)**1)**(-14)\/((d**1*(d\/(d**(3\/5)\/d*d))\/d)\/(d**(-4\/3)*d*(d*((d\/(d*d**(-6\/5)*d*d)*d)\/d*d)\/d*d)\/d)) assuming d is positive.\nAnswer: d**(622\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:22 PM and 2:09 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 768*f**3 - 1142*f**2.\nAnswer: 4608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -166*m**6 + 128*m**5 - 2*m**3 - 46315*m**2 + 3 wrt m?\nAnswer: -19920*m**3 + 7680*m**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in -2, 0.4, 9, -1\/5, -135\/13?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is (-88)\/(-4) - -2 - 264\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is -2 at most as big as 158?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) be the first derivative of 0*z + 4 + 0*z**4 + 7\/2*z**2 + 4\/5*z**5 + 0*z**3. Find the second derivative of a(u) wrt u.\nAnswer: 48*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (2*k + k - k)*(-5 + 3 + 0) - k + 0 - k + 2 - k - 2*k + 4*k + (9 + 9 + 1)*(0*k + k - 3*k) - 619 + 619 - 108*k in the form w*k + o and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k = 6343 + -6245. Calculate the remainder when k is divided by 45.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 9.938632 years to millennia.\nAnswer: 0.009938632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-1)\/(-3))\/(-1)*(640\/(-20) + -25). Solve 5*k + r = j + 4, -k + 21 = -5*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10202 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Determine u, given that 2\/5*u**5 + 0 + 0*u**4 + 0*u**2 + 2\/5*u - 4\/5*u**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3396 = 24*g - 25*g - 40*v, -g = 3*v - 0*v - 4*v + 89 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (3 - 5)\/(1\/2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 3\/8? (a) -4\/7 (b) -0.2 (c) -0.32 (d) 10\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = 15*t**3 + 4*t**2 + 11*t + 22. What is c(-2)?\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y = -342 - -210. Suppose 369*m - 13805 + 6369 = -50240. Let b = m - y. Calculate the remainder when b is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*m - 9528 = -8*m. Let z = 1927 - m. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*f - 6*f - 3 = -j, 3*j = -2*f + 1. What is the highest common factor of f and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1288.4346 months in years?\nAnswer: 107.36955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 11396117 is divided by 65?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*s = -v - 7*s + 20, -4*v + 73 = s. Suppose v*l + 300 = 21*l. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*w + 5 - 5 - w - 2 + 2 + (0 + 0 - w)*(-2 - 1 + 5) + w + 1 - 1)*(4 - 1 - 4)*(1 - 2 + 5).\nAnswer: 16*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round -1.7966698 to 2 dps.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is g in 322387645112361409*g**2 + 2271167612*g + 4 = 0?\nAnswer: -2\/567791903","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate (3728\/1398)\/(18*-6).\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose p = c, -4*c - 4*p = -3*c - 25. Suppose -v = -c*v + 8. Solve -3*l - l**v + 2*l + l**3 - l = 0 for l.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 111 minutes after 3:36 PM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v = 7974\/19 + -24880381\/59280. Calculate the common denominator of v and -133\/1170.\nAnswer: 9360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0.2 - -0.3. Let m be 3\/7*8\/(-12). Put m, p, -5 in descending order.\nAnswer: p, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 17856 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1033725821?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w be 6 - (1 + 0 + 0). Suppose -w*f + 19 = -41. Suppose 3*t - 21 = -5*u, 6*u + 5*t - 19 = 3*u. Calculate the remainder when f is divided by u.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 5200 (base 8) to base 7.\nAnswer: 10560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 56 + 5 + 13 + (4 - 20) - 17.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*(-2*(sqrt(121)*2 + sqrt(121) - sqrt(121)) + (sqrt(121) + 2*(sqrt(121) + -1*sqrt(121)) - sqrt(121))))\/(-3*(sqrt(88)\/sqrt(2) + sqrt(44))*-5).\nAnswer: sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert 28749.19m to micrometers.\nAnswer: 28749190000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y**(-1\/11)\/y)\/(y**(11\/5)*y))\/(y*y\/(y*y\/(y\/(y\/y**(-7)))*y)*y*y**(-2\/41)) assuming y is positive.\nAnswer: y**(6219\/2255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 7882794 and 68382?\nAnswer: 2358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = -g**2 - 2*g + 40. Calculate k(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 75 + -62 + (23 - -1 - 12)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) be the first derivative of 10*r**2 + 8*r - 14. What is the derivative of d(p) wrt p?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = -6*j**3 + 8*j**2 + 5*j - 7. Let f(s) = -s**3 + s**2 + s - 1. Suppose -3*h + 4 = h. Let k(y) = h*q(y) - 5*f(y). Let z be k(2). Solve -w = -z*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor i**2\/2 + 19*i\/2 - 21.\nAnswer: (i - 2)*(i + 21)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i = 25 + -6. Let z(s) = s + 3. Let r be z(1). Suppose -d + 271 = -3*h + 77, 5*d = -r*h + 1065. Calculate the greatest common factor of d and i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*r**3 + r**4 + 2*r**3 + 1 + 254*r**4 + 256*r**4 - 533*r**4 + (-r + r - 2*r**3)*(r + 0*r - 2*r).\nAnswer: -20*r**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = 17*g**2 - 11*g + 9. Let z(v) = 3*v**2 - 2*v + 2. Let y = -179 + 146. Let o(w) = y*z(w) + 6*u(w). Suppose o(i) = 0. Calculate i.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence tuut when four letters picked without replacement from {t: 4, u: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = -4*b**3 + 6*b**2 - 156. Let i(t) = -2*t**3 + 2*t**2 - 77. Give 9*i(n) - 4*x(n).\nAnswer: -2*n**3 - 6*n**2 - 69","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 29*n + 46*n - 44 = 64*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express -9*y**2 + 75*y - 39*y - 27*y + 4*y - y**2 - 4*y + (-5*y + 4*y + 0*y)*(-1 + 2*y + 1) + y + 2*y**2 - y in the form d*y + i + o*y**2 and give d.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:13 AM and 3:33 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is next in 41, 86, 131, 176, 221?\nAnswer: 266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (12 - 2\/(-2)) + -6 + (-220)\/33?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = -3763*j + 7. Calculate q(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 21 a factor of 85941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c - 3*p - 272 = 195, 5 = -5*p. Let j be c\/20 - (-1)\/5. Calculate the lowest common multiple of 6 and (-7)\/(1 + (-9)\/j).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 12433 + -36455\/3. Let g = -276 + h. Which is smaller: 6 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 105, 258, 411?\n\"Answer: 153*v - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 60\/9*(-588)\/784*(-1)\/(-365)?\nAnswer: -1\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 213 is divided by 111.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 47555636.\nAnswer: 2, 11888909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2 + 6*x**3 + 3 - 5 - 3*x wrt x.\nAnswer: 36*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) = -3*l**2. What is m(6)?\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -312341 (base 5) in base 4?\nAnswer: -2201222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (12\/8)\/(9*(-1)\/(-888)) is divided by 50?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*h - h + 4*s - 56, 32 = 4*h - 2*s. Suppose 18 = -2*m - 3*a, h = 6*a - a. Let g = -10 - m. Solve -g*d - d = 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 174831437 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = m**2 - 15*m + 28. Let g be r(12). What is the remainder when 3\/g + 1001\/88 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) -0.1 (b) -1 (c) -10 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l = 2690 + -1046. What is the highest common factor of 12 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = -6*g**3 - 4*g**2 - 7*g + 5. Let d be m(5). Find the common denominator of 31\/14 and (-996)\/d + 2\/(-11).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 4300382?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 87 + 93 = -45*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert 8476.76ml to litres.\nAnswer: 8.47676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 15118 + -1?\nAnswer: 15117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Put 1, -132.87, -1 in ascending order.\nAnswer: -132.87, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -238 and 294.5?\nAnswer: -70091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h = -25 + 27.6. Let w = 0.6 - h. Which is smaller: w or -1\/13?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-28)\/(-21) - (2 - 1).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k\/(k\/k**(2\/3))*k)**(2\/21)*(k**3)**42)**17 assuming k is positive.\nAnswer: k**(135116\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -3 (base 8) in base 14?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 27617709 times 0.4\nAnswer: 11047083.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v = 2\/5819 - -5813\/17457. Is 0.0967 less than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 82183318 and 363643?\nAnswer: 82183318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = -86*a**2. Let u(q) = 19*q**2. Let h(s) = 59*s**2. Let x(n) = -3*h(n) + 10*u(n). Determine x(w(f)).\nAnswer: 96148*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -20, 3, -47 in decreasing order.\nAnswer: 3, -4, -20, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = 0*i**2 - i**2 - 7 + 7. Let j(v) = -3*v + 0*v + 4*v. Determine b(j(g)).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 - 0 - (-37 + 27)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 223.9477 microseconds in milliseconds?\nAnswer: 0.2239477","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is three sixteenths of a day in minutes?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = -x**3 + 12*x**2 - 21*x + 16. Let s be v(10). Solve 3*t = s + 6 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 5508 and 150282516?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 5274256 and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is next in -453, -418, -381, -342, -301?\nAnswer: -258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 85150 and 51090.\nAnswer: 255450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert 120002100 (base 4) to base 10.\nAnswer: 98448","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 872896?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: (-93 - -3 - (57 + -77)) + 1\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 11, 56, 111, 164, 203, 216?\n\"Answer: -2*d**3 + 17*d**2 + 8*d - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z be 85\/25 + 6\/(-15). What is the second derivative of 6*t + 2*t**3 + t**z + 2*t - 5*t wrt t?\nAnswer: 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3744030119.\nAnswer: 137, 27328687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = j + 1. Let u be b(-5). Let g = 0.01099 - -0.18901. Put u, -0.3, g, 1\/11 in increasing order.\nAnswer: u, -0.3, 1\/11, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -190 + 242*f + 190.\nAnswer: 242*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is (-3)\/(2\/(-16)*-132)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -4\/165 or -44?\nAnswer: -4\/165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j = 9 - 9. Suppose -y - 2*y + 24 = j. Does 3 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 139 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4319 = 4*u - 3*q - 2*q, 25 = 5*q. Let b = u + -15153\/14. Find the common denominator of ((-4)\/(-6))\/(132\/913) and b.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 52550?\nAnswer: 2, 5, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d + 6*d = 0. Suppose d = -11*g + 7*g + 232. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-41 - -44) + -1*16*-3. Suppose -f = 11*n + 6*n. Put 3, 22, 0, n in decreasing order.\nAnswer: 22, 3, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = q**3 + 7. Let c be h(0). Suppose c*a - 15 = 2*a. What is the remainder when ((a - 2) + 3)*13 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 455924680?\nAnswer: 2, 5, 11398117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -315, -615, -1047, -1677, -2571, -3795, -5415, -7497?\n\"Answer: -11*x**3 - 223*x - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Divide 2 by 64.\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 21011100012 - 0?\nAnswer: 21011100012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Work out 4 + -0.25.\nAnswer: 3.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Put together -384.7075 and -32655.6.\nAnswer: -33040.3075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 19481811 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} {"text":"Question: What is v in -v**4\/2 + 15*v**3 + 39*v**2\/2 - 118*v - 186 = 0?\nAnswer: -2, 3, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1 + (6 - (0 + 3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) be the first derivative of -2*c**5\/35 + 2*c**3\/21 - 6. Suppose m(b) = 0. What is b?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(sqrt(170) + (sqrt(170) - sqrt(170)*-3))\/sqrt(10) + -1.\nAnswer: -1 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) be the second derivative of -3*d + 0*d**6 + 5\/42*d**7 + 0 - 2\/3*d**3 + 0*d**5 + 0*d**2 + 0*d**4. What is the second derivative of p(x) wrt x?\nAnswer: 100*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.019 times -68\nAnswer: 1.292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m**(-3\/2)\/m)\/m**(1\/14))**(-3\/7)\/((m\/m**0*m\/m**(-2\/5))\/(m\/(m*m\/m**(-1)*m)*m)**(-18)) assuming m is positive.\nAnswer: m**(8502\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 258269928.\nAnswer: 2, 3, 7, 31, 101, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 1\/6 (b) 364 (c) -1.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put 101, -303\/5, 1\/38, 4 in increasing order.\nAnswer: -303\/5, 1\/38, 4, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -35*t = -966 + 1036 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -321 + 22?\nAnswer: -244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 290 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1939.613 + -1971. Let j = -1.747 - t. Let w = j - 0.64. Which is the biggest value? (a) 3 (b) -4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -17*l**2 + 129*l - 129*l + 16*l**2.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 229*d + 4280 = 850*d + 1519*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 c and 1 p when two letters picked without replacement from cpppxjxxjjqpjxppqqp?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z = 29 + -29.1. Let x = 4 + 1. Which is the closest to z? (a) 1\/5 (b) x (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find o such that 2*o**4\/7 + 52*o**3\/7 + 26*o**2 + 132*o\/7 = 0.\nAnswer: -22, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = 19*j**2 - 89*j - 458. Let t be u(-5). Calculate the greatest common factor of t and 1122.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) be the third derivative of 2*u**7\/315 - 31*u**6\/90 + 59*u**5\/15 + 1207*u**4\/18 - 5780*u**3\/9 - 1629*u**2. Suppose w(r) = 0. Calculate r.\nAnswer: -5, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*o + 2*o - o + (6 - o - 6)*(1 + 0 + 1) + 4*o - 2*o - 4*o + 2*o - 4*o + 0*o + (-3*o + 0 + 0)*(-2 + 3 + 0) + 3*o - 3*o - o.\nAnswer: -9*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 2018*g = 2022*g - 4*o - 36, 22*o + 135 = g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is (-16640)\/5616*9\/(-12)?\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate (4 - (6 + -4 + -10 + 9)) + -11.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 2\/2389 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 1, r: 1, w: 1}. What is prob of sequence cr?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 m, 1 t, and 2 c when four letters picked without replacement from mctccggmpcmccgmct?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(2) + 3)**2 + sqrt(2))*-6 + ((sqrt(242) - (sqrt(242) + -1 + sqrt(242))**2) + sqrt(242) - sqrt(242)).\nAnswer: -1035 + 13*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t = -88 - -91. Let n(z) be the first derivative of -z**2\/2 - 6*z - 2. Let x be n(-6). Put x, -0.3, t in decreasing order.\nAnswer: t, x, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d*d*d*d*d**4\/d*d)\/d**(-6))**46*(((d*d**1)\/d)**40)**36 assuming d is positive.\nAnswer: d**2084","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from gnzuuzzzzu. What is prob of sequence ug?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4521344?\nAnswer: 2, 35323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is next in -3799, -7798, -12017, -16456, -21115, -25994?\nAnswer: -31093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 89086*y + 88813*y - 177947*y.\nAnswer: -48*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is next in -493, -985, -1477, -1969, -2461?\nAnswer: -2953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k be 258\/(-387)*(-6)\/(-26). Which is the third smallest value? (a) 3 (b) k (c) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 23975599 to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -7\/23084622 and -131\/135942774.\nAnswer: 1223484966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -37*q**3 - 47*q**3 + 40*q**3.\nAnswer: -44*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 54 divided by 18\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = 16 - n + 8 - 41 + 17. Let g(j) = -4 - 182*j + 2*j**2 + 4. Determine g(u(s)).\nAnswer: 2*s**2 + 182*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(198) + -2*sqrt(198) + sqrt(88)\/sqrt(4)*-5)\/((sqrt(1408) + sqrt(1408)*-2)\/sqrt(2)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1147 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y = 10 - 7. Let q be -61 + 72 + (1 - 11). Let v be 1*q\/y + (-175)\/(-15). Calculate the highest common divisor of 36 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*d = u + 2*u - 7, -5*u = 4*d - 11 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = -2*p**2 + 122*p - 6. Determine g(64).\nAnswer: -390","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -287*l**2 + 633*l**2 + 2 - 50*l**2 - 267*l**2 - 2.\nAnswer: 29*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u = -4*x + 2265, 14*u + 771 = 13*u - 4*x. Let b = 4442 + u. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 62 from 2.9244862.\nAnswer: -59.0755138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*f + 0*f + 12*f**3 - 3*f.\nAnswer: 12*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*w - 154 + 0*w + 7*w - 6*w.\nAnswer: 3*w - 154","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put 4, 2, -1\/3, -1\/16, -53\/14, 5 in decreasing order.\nAnswer: 5, 4, 2, -1\/16, -1\/3, -53\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1429?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l = 4735.99983224 + -4736. What is l rounded to five dps?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 54 or 476\/9?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k + 3*y + 15 = -24, 4*y + 56 = 3*k. Is 3 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = -g**3 - 9*g**2 + 9*g - 10. Let k be l(-10). Let n be (k - 2\/(-1)) + 33\/(-11). Let h = -68 + 951\/14. Which is smaller: h or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -48 divided by 3101.\nAnswer: -48\/3101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 1777 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 241093 + 241094 + 4*i**3 - 355*i - 482187 to the form g + h*i + p*i**3 + d*i**2 and give h.\nAnswer: -355","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 102 and 22305003?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g = 18318 - 12324.2. Round g to the nearest 100.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 656704 greater than -18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 27 and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v = -4 + 4. Let g = 3 + v. Let n be (20\/220)\/(36\/99). What is the smallest value in 3\/4, n, g?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -100 = -6*x + x. Does 5 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-x**3 + 3*x**3 - x**3)*(12*x**2 + 0 + 0).\nAnswer: 12*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) be the first derivative of -l**4\/18 + l**2\/3 + 2*l - 4. Let o(i) be the first derivative of j(i). Determine v, given that o(v) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence il when two letters picked without replacement from {w: 3, z: 1, a: 4, l: 2, b: 6, i: 2}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in -48\/5, 1.1, -0.2, -0.0229, -5, 6?\nAnswer: -48\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -16 in 0, -0.5, 0.1, 1.8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c = -11 - -16. Let k(z) be the second derivative of 11*z**3\/6 - z. Let d be k(c). Round d to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1571*j - 4798*j + 1077*j + 223*j)*(j**3 + 5*j**3 - 3*j**3).\nAnswer: -15207*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1.15297 - 41.61433. Let x = 497.0327 - 497. Let r = q - x. Round r to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-12)\/30)\/(3\/60). Let b(w) = w**2 + 7*w + 10. Calculate b(z).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 m and 2 a when three letters picked without replacement from {a: 2, k: 2, m: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Factor -2\/5*w**5 + 118\/5*w**3 + 0 + 0*w - 56\/5*w**4 - 12*w**2.\nAnswer: -2*w**2*(w - 1)**2*(w + 30)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 18 (b) -486 (c) -0.08 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q + 2*k + 6 = 0, q - 2*q = 4*k. Suppose -q*w + 1 = -27. Let g(i) = -15618*i + 93730. Calculate the remainder when g(6) is divided by w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-1)\/5)\/(12\/(-24))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Determine a, given that -a**2 - 16193*a - 64756 = 0.\nAnswer: -16189, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k = 5*o + 10, 3*o = 3*k - 2*o - 40. Let x = 2 + -2. Suppose x*n = 3*n - 27. Solve 5*b = -3*d - k, b = -5*d + n + 12 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a**1)**(-49))**8\/((a*a*a**(-3\/4)*a*a)\/a**(-1\/3))**(2\/7) assuming a is positive.\nAnswer: a**(-16507\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Divide 2438616 by 56712.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7902473.\nAnswer: 733, 10781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 44249 is divided by 613?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o be (16\/(-3))\/(-8)*(-102)\/4. Let x(f) = -22445 + 44887 - 22447 + 3*f. Let d(l) = -8*l + 14. Determine o*x(v) - 6*d(v).\nAnswer: -3*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.9 + -0.7. Which is the nearest to i? (a) -0.4 (b) -44 (c) -0.2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 209219164, 418438330, 627657496?\nAnswer: 836876662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 220 and 6204.\nAnswer: 31020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = -87*u + 6. Let j(a) = -741*a + 51. Let x(b) = -6*j(b) + 51*z(b). Let s(k) = 126*k. What is x(s(t))?\nAnswer: 1134*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = -22*v**2 - 505*v + 32. Let w be j(-23). Solve 0 = -6*r + w*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = 4*q**2 + 217474*q - 217474*q. Let t(z) = -z**3 - 6*z**2 - 5*z + 3. Let d be t(-5). Let i(v) = 2*v + 2*v + v - d*v. What is i(a(r))?\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -53\/250 and 141\/260750.\nAnswer: 260750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c\/c**(1\/2))**(2\/19)\/(c\/c**(2\/5)*c**(-4\/3)) assuming c is positive.\nAnswer: c**(224\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 6743 take away -1.9?\nAnswer: 6744.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-5 - (-3 - -2)) + (11 - (42 + -20)) + 12.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = 53 - 1313*y + 116 + 1242*y. What is the tens digit of d(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.64 * -0.051\nAnswer: -0.03264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = -5*k**3 - 2*k**2 + 6*k. Let z(d) = -3*d - 22*d**3 - 14*d**3 + d**2 - 19*d**3 + 59*d**3 - 2*d. Determine 3*u(l) + 4*z(l).\nAnswer: l**3 - 2*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) 47 (b) 16 (c) -1\/5347 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 117464952 a multiple of 1364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 96191104 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 17 a factor of (-5925)\/(40\/(-8)) - -1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u*u**(1\/4))**(-5)*u**10*u**(8\/3) assuming u is positive.\nAnswer: u**(77\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is -1 equal to 304?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 185 minutes after 2:30 PM?\nAnswer: 5:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Does 13 divide 19102095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 4 - 1)*(-12*i + 2*i - 3*i)*(i - 3*i + 0*i)*(2 - 2 + 3*i)*(-1 - 1 + 3).\nAnswer: 78*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*l - 2 = -2*k, 3 = 4*l + 64*k - 61*k for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Express 0*d**3 - 7*d**2 + d**3 + 0*d**3 + 2*d**3 as g*d**2 + y*d**3 + x + v*d and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 17226 + 310?\nAnswer: 17536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p = 101 + -29. Let m be (1\/1*1)\/((-3)\/(-210)). Suppose -2*a = -5*a - 15, -a - m = -5*d. Calculate the remainder when p is divided by d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -10001110000011001 (base 2) in base 5?\nAnswer: -4311404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -26, -0.2, -2.\nAnswer: -26, -2, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 714*x + 1505 = 679*x for x.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = 288*d**2 - 6*d - 6. Calculate j(-1).\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 11635*c + 3*p = 11633*c + 96, -12*p = -3*c - 417 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 6 (b) -1\/2 (c) -0.168 (d) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.18 in -120, 4, -6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 37 (base 11) to base 7\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 3656 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (6 - 4 - 1) + 49?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 37 + -30 + (-1 - -1) + -1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 13170953 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 122 and 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.7 - -0.2. Let l(z) = -z**3 + 5*z**2 + 16*z - 9. Let h be l(7). Suppose 5*c + 4 = -4*q - 21, -3*c - 28 = h*q. Which is smaller: d or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3180766993 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 8200*c**3*j**2*o**2 - 8*c**3*j**2*o + 3*c**3*o**2 + 15*c**3*o + 130*c*j wrt j.\nAnswer: 16400*c**3*o**2 - 16*c**3*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {k: 1, o: 1, z: 2, u: 2}. Give prob of picking 1 k and 2 z.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = 2*t - 6. Let s be l(6). Let p(n) be the first derivative of -n**2\/2 + 7*n + 836. Let g(z) = 1. What is s*g(q) - p(q)?\nAnswer: q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 83 (base 10) to base 11\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -6, 13, 32, 51, 70, 89?\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z = 1 + 11, -3*y + 2*z = -12. Find the first derivative of -y + 5 - 7 - 8*x**2 wrt x.\nAnswer: -16*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -85*t - 68441 = -66401 for t.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 5 + 198663c?\nAnswer: 1986643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 7\/365970 and 41\/304975.\nAnswer: 1829850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 9180 and 31212.\nAnswer: 156060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d = 107 - 62. Let m = 3 - -6. What is the highest common divisor of d and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -3*-1.28\nAnswer: 3.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert -6 (base 13) to base 8.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 529, -14\/205, -5?\nAnswer: -14\/205","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) be the second derivative of 7*s**4\/3 + 2*s**3\/3 - s**2 + 200*s. What is the lowest common multiple of h(1) and 50?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 34 + -30. What is the remainder when u is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = -x**2 + 7*x + 26. Suppose -g = -2, -2*g + 33 = 3*r + g. What is the units digit of j(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 18639 - 18366. Solve 0 = -263*c + n*c + 70 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15*d + 12719 = 22*d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 7 + -8.7. Let u = -3.3 + g. Put -0.05, -2\/15, u, -2 in increasing order.\nAnswer: u, -2, -2\/15, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -1.12 - 4.88. Which is greater: -15 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*t = t - 6474. What are the prime factors of t?\nAnswer: 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 140 and 340?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6*v**3 - 3*v**3 - 3 + 391*v**2 + 3.\nAnswer: 3*v**3 + 391*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 420 minutes after 5:54 AM?\nAnswer: 12:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*r - 78*r**2 + 0*r + 129*r**2.\nAnswer: 51*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d = 35 - 31. Suppose 3*t + 195 = 4*q, -d*q + 193 = -2*t + t. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 84440.63 meters in nanometers?\nAnswer: 84440630000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 36 - 437 - 490 = 19*p + 97 for p.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -7 + 13 - (-4 + 4)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1.12 - 0.2. Let n = h + 0.08. Which is the closest to -1? (a) -2 (b) n (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 50*i = 38*i - 1860. Let h = i + 227. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -2287 or -2288?\nAnswer: -2287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 205*s = 201*s + 152800. Round s to the nearest one thousand.\nAnswer: 38000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 34, 137, 308, 547, 854, 1229, 1672?\n\"Answer: 34*c**2 + c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 173627 is divided by 364.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 55bc - -24?\nAnswer: 55e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w = 50 + -48. Solve p - b = w*b + 8, -2*p = -2*b for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.2? (a) 9.6 (b) 19 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = 332 + d**2 + 10*d + 353 - 671. Let j be c(-6). Let v = j - -11. Put -4\/5, 0.4, v in ascending order.\nAnswer: -4\/5, 0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = -4*j**3 - 5*j. Let k(r) be the third derivative of -r**6\/30 - r**4\/4 - 3*r**2. Give -5*k(u) + 6*s(u).\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -362 times 46.1?\nAnswer: -16688.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*q - 88*s = -86*s - 23, -5*q + 5*s = 5. Let y be 1 - 2 - (-2 - 2). Suppose -q*d = f - 32, 0 = -y*d - f + 3*f + 17. Is d a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -53, 2, 4, 0, -13, -5, 176 in increasing order.\nAnswer: -53, -13, -5, 0, 2, 4, 176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 18320 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 103 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/131? (a) -8 (b) 2\/5 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 108450*t**3 - 418177?\nAnswer: 325350*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express 12*v + 14 - 6*v + 7*v - 4*v + (1 - 3 + 0)*(1 - 2*v - 1) + (-v + 5*v - 2*v)*(3 + 4 - 6) as b*v + y and give b.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -2\/5 (b) 2\/1711 (c) -0.5 (d) 4 (e) 2 (f) -4 (g) -0.49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*k + 2*k + 65 = 0. Suppose a + 4*g - 10 = 0, 0 = -2*a + 4*a + g - k. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-2 - 20\/(-12))\/(3\/(-27)). Suppose -j + 3*s = 2*j - 324, -i*s = 9. What is the greatest common factor of 35 and j?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 690*v - 5202 = 401*v for v.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 j and 1 q when four letters picked without replacement from qjjjqqqjjj?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2790*a**3 + 2858*a**3 - 5404*a**3.\nAnswer: 244*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {c: 5, m: 10, l: 4, i: 1}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000011624 rounded to 7 decimal places?\nAnswer: -0.0000116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round 5.9265 to 2 dps.\nAnswer: 5.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in 24, 0.1, -5, -0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = -k**2 - k + 3. Let h be w(-3). Let v be 2 - (h - (6 + -3)). Suppose -4*c + 20 = v. Solve 0 = 7*u - c*u - 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.28 - 3.02. Let j = -3.2 - z. Let a = -69 + 482\/7. Put j, a, -3 in ascending order.\nAnswer: -3, a, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*s - 26*c + 25*c = 7, -2*c = -s + 8 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -530128995*f**3*k**2 - 1170466*f**3 - 4*f*k - 19*k wrt k.\nAnswer: -1060257990*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = -3*k**3 - 4*k**2 - 2*k + 1. Calculate the remainder when 49 is divided by a(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.969 times 6?\nAnswer: -5.814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 406 minutes after 2:31 PM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sum 39815895021 and 87.\nAnswer: 39815895108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = 898*v + 22672. List the prime factors of a(0).\nAnswer: 2, 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ffftrhtf. What is prob of sequence hrtf?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*s**3 + 140553080*s**2 + 281106145*s + 140553070.\nAnswer: 5*(s + 1)**2*(s + 28110614)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*h + 5*g - 4*g + 3, h + 15 = -5*g. Suppose -l - 2*l + 6 = h. Solve -6 = -l*d - 3*q + 1, 15 = 3*q for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-306)\/(-39) - (-328)\/2132) + 38 + (-4 - 0)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) be the second derivative of w**5\/10 - w**2 + 2*w. Differentiate o(p) with respect to p.\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1199619 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (489 - 451 - 438)*(0 + c + 0) - 3*c + 2*c - c + 1 - c - 1 + (0 + 0 - 2)*(1 + 2*c - 1) - c + 2*c - 3*c + 0*c + 3*c - c.\nAnswer: -407*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5229 divided by -7.\nAnswer: -747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-14)\/(-12) - 2\/3. Let r(w) = w - 2. Let k be r(-3). Let i = 30 + -34. What is the second biggest value in k, u, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 184 minutes before 7:37 AM?\nAnswer: 4:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1000010111110001 - 0?\nAnswer: 1000010111110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*l + 14 + 1 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n be (705 + (-5)\/(-10)*-10)\/((-6)\/(-8838)). Round n to the nearest 10000.\nAnswer: 1030000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = 14*b**2 - 110*b + 57. Let m(y) = -5*y**2 + 36*y - 20. Calculate -6*h(o) - 17*m(o).\nAnswer: o**2 + 48*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 3\/28? (a) 4 (b) -0.3 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*a + k, 5*a = 2*a - 4*k. Suppose a = 3*z - 4*z + 9. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {s: 1, n: 3, y: 7, t: 2, q: 3, f: 2}. What is prob of sequence snqf?\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:01 AM and 5:34 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -5 - -3 - (-2 - (0 + 1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = -42*z + 56. Let a be i(-15). Suppose 6*q - a = -8*q. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 36 = 9*y - 6*y. Suppose -5*m = -8 - y. Solve 12 = o - m*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(2800) - 1*sqrt(2800))\/(-4*sqrt(4)\/sqrt(2)))\/(sqrt(448)*1 + sqrt(448) - (sqrt(42)\/sqrt(2))\/sqrt(3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c = -17.85 + 18. Let u = c + -0.15165. What is u rounded to four decimal places?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {r: 1, m: 2, t: 1, x: 3, e: 3, j: 3}. What is prob of sequence jjx?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z be (8\/(-6))\/(7\/(-21)). Suppose 5*v - 3*x = -4*x - 7, -3*x = z*v + 10. Sort v, 0.1, 1.\nAnswer: v, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -7 - 109585*i**3 + 100088*i**3 + 53*i**2 - 26*i**2 wrt i.\nAnswer: -56982","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 9 and 2408?\nAnswer: 21672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = -10*w - 1430. Let m(z) = 663*z**2. Calculate g(m(x)).\nAnswer: -6630*x**2 - 1430","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = d + 1. Let y be j(2). Factor 3 + 5*r + 2*r**2 + 3*r**2 - y.\nAnswer: 5*r*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -31 or -209\/7?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v = 54 + -52. Which is the second smallest value? (a) -2 (b) v (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = -29*i**2 + 181*i + 5. What is f(6)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 2\/89 (b) -1\/3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = 110*v + 658. Let o be j(28). Is o less than 3737?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = 2045*j**2. Let g(d) = -2*d. Calculate g(n(l)).\nAnswer: -4090*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -4487, -8823, -13003, -17027, -20895, -24607?\n\"Answer: 78*g**2 - 4570*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2248*d + 1414*d + 4915*d + 3146*d.\nAnswer: 11723*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y be ((-1)\/2 - -1)*2. Let z = -630 + 635. Calculate the highest common divisor of z and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from qqgqsssgsqq. Give prob of picking 4 q.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand -4*m**2 + 4*m**2 - m**2 + (m - 4*m + 4*m)*(0 + 0 + 2*m) + 0*m + 0*m + 2*m**2.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -768, -718, -590, -342, 68, 682?\nAnswer: 1542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 4 a factor of 13824288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c be -11 - -8 - 21\/(-3). What are the prime factors of 2*2\/16 + 811\/c?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 2, p: 3, r: 2, y: 6, q: 3, t: 2}. What is prob of picking 2 x?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = 13*r**3 - 2*r**2 - 3*r + 13. What is the units digit of q(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -1151, -4587, -10309, -18317, -28611, -41191, -56057?\n\"Answer: -1143*x**2 - 7*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose n - 7 = -5*b - 2, 2*b - 2 = n. Let i(g) = -g**3 - 7*g**2 - 7*g - 1. Let x be i(-6). Let t = x - 1. Solve -17 = -5*q - t*k, q + 2 + b = -4*k for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 3, 2, -222, 76 in descending order.\nAnswer: 76, 3, 2, -4, -222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.4 - 0.5940492.\nAnswer: -0.9940492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*u - 16 = -6*u. Does 23 divide (-2)\/8 + (u - (-273)\/4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 2392\/(-600) - 3 - (-4 - 3). Let g = o - -73\/150. Factor -2*v**2 - 3\/4*v + g - 3\/4*v**3.\nAnswer: -(v + 1)*(v + 2)*(3*v - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (5\/(-15))\/(2\/(-6)). Let l be (p - 1)*(-5)\/(-5). Suppose l = -5*n + 12 + 3. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is u in 0 - 24 + 0*u**2 + 3*u**2 - 121*u - 6 - 7*u**2 = 0?\nAnswer: -30, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = -3*p - 12. Let r(k) = 13*k + 49. Let j(q) = 9*g(q) + 2*r(q). Let c = 603 - 583. Suppose -3*n - 36 = 4*v, c*n + 2*v = 23*n + 18. Determine j(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) be the first derivative of 2\/5*g**2 - 1\/15*g**3 + 0*g + 5. Determine t so that q(t) = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3160 divided by -5?\nAnswer: -632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 10 a factor of 3839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g = -8427 - -8429. Sort -6, -336, g in ascending order.\nAnswer: -336, -6, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/25 in -14, 6, -4, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 318 - 2*w**2 - 98 - 116 - 102 - w**2 - 24*w**3.\nAnswer: -24*w**3 - 3*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*j - 6*j = 12. What is the smallest common multiple of 24 and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*p + 5*p + 119 = 0. Suppose -o + p = 6*o. What is the remainder when 30 is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = 13*w. Let c(a) = -12255 + 3*a + 12255. What is c(k(p))?\nAnswer: 39*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0.3, 121, 27\/163?\nAnswer: 27\/163","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n = -557 + 555. Let r be -1 - -4 - (3 + -58 + n). Is r bigger than 57?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -81 + 84. Suppose -w*g + 1662015 = -5*z, 4*z - z - 2215991 = -4*g. What is g rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 19981 + -13792. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-7 - -1 - 3021\/(-530))\/((-4)\/5).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 52 + -79. Let z be 3*(4\/3 + -2). Calculate the common denominator of m and 942\/(-112) - z\/7.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) be the second derivative of 1\/4*t**3 + t**2 - 1\/24*t**4 + 0 - 31*t. Find q such that u(q) = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 884309791?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 3ea53d + -1?\nAnswer: 3ea53c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0 - -3. Let t = o + 0. Let k = 0.01 - -4.99. Which is the second biggest value? (a) t (b) k (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is fifty-two thirds of a day in hours?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1449876399.\nAnswer: 3, 17, 41, 661, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 33081, -0.12, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -7? (a) -1.2 (b) 33 (c) -3 (d) -5 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is -267 equal to -268?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Work out 7969539 - 139.\nAnswer: 7969400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 4de71 - -dc?\nAnswer: 4e05d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 3\/3*(-95)\/5\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = -23 - 20 + 2*k + 52. Let b be m(-2). Solve -2*a - 12 = -b*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) = z**2 + 2*z - 3. Let t be l(2). Suppose t*f + 192 = f. Let b = 91 + f. List the prime factors of b.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*d - 5*d + 15*d**2 + 4*d + 8*d**2.\nAnswer: 23*d**2 - 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = -2*q - 30. Let h = -619 + 633. What is the remainder when g(-28) is divided by h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 0.3 (b) -2\/7 (c) 229\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hhhh when four letters picked without replacement from {g: 5, e: 2, h: 5}?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 284 divided by 6\nAnswer: 142\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u be 20\/(-24)*(9\/27)\/(250\/(-135)). Let c(l) be the second derivative of 29*l + u*l**5 - 3\/2*l**4 + 0*l**2 + 0 + 4*l**3. Suppose c(v) = 0. What is v?\nAnswer: 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = -g**2 + 6*g - 7. Let n be x(3). Let c = 15 + -10. Suppose c - 17 = -n*w. Solve w*j = j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together -3.84 and -0.26.\nAnswer: -4.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5 + (-4 - -3) - 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2329?\nAnswer: 17, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 574 and 1558.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) be the third derivative of 3*j**8\/784 + j**7\/735 - 3*j**6\/280 - j**5\/210 - 18*j**2. Solve y(t) = 0.\nAnswer: -1, -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 41743575?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 873234 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i = 17656 + -17657. What is the nearest to -131 in i, -0.28, 2\/13?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 73 - 292*y - 73 + (5*y + y - 3*y)*(1 + 3 + 0) + 0*y + 0*y - y + (1 + 0 + 0)*(-1 + 1 - y).\nAnswer: -282*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -l**2*z - 81*l**2 - l*z - l - 11747*z wrt l.\nAnswer: -2*l*z - 162*l - z - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((m**(-1\/4)*m)\/m)**0*(m\/(m*(m*m**(-4)\/m)\/m))\/(((m\/(m*m\/((m\/(m\/(m*m**(-2)*m*m)*m)*m)\/m)*m*m))\/m)\/m))**(-21) assuming m is positive.\nAnswer: m**(-210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -0.026 * 0.01\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express 136*z - 68*z - 68*z + 51*z**2 as k*z**2 + p*z + m and give k.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = -g**3 - g**2 - 2*g - 1. Let c(q) = 56*q**3 + 9*q**2 + 20*q + 10. Determine -c(j) - 10*i(j).\nAnswer: -46*j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b = 25 + -11. Suppose 204 = 5*a - 6. What is the smallest common multiple of (1\/3)\/(7\/a) and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) be the second derivative of -s**3\/6 - s**2 + 2386*s. Let b(t) = 2*t + 2. Determine 4*b(z) + 3*l(z).\nAnswer: 5*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 4\/5? (a) -2 (b) 44 (c) 0.2 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = -3*g**2 - 2*g. Let d(t) = t**2 + t. Let i(x) = -2*d(x) - y(x). Let k(j) = -3*j**2 + 3*j. Determine k(i(s)).\nAnswer: -3*s**4 + 3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*d = -3*u + 17, -12 = -5*u + d + 14 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 21.850582386 and 0.2?\nAnswer: 21.650582386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f = 12.8 - 13. Let j(s) = -2*s**2 + s + 2. Let v be j(2). Let k = 428\/3 - 141. Put v, k, f in increasing order.\nAnswer: v, f, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 152 = -60*s + 3*d + d, -s - 5*d = -13 - 27 + 2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 9127, 18626, 28503, 38758, 49391, 60402?\n\"Answer: 189*k**2 + 8932*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} {"text":"Question: Let a be ((-7)\/(-14))\/(2\/(-1456)). What is the units digit of 1\/(1816\/a - -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (3\/(48\/(-55484)))\/(1\/4). What is the tens digit of 2\/(-3) + 0 + t\/(-291)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = -u**3 + u + 1. Let h(f) = 14*f**3 - 10*f + 47. What is h(p) + 9*v(p)?\nAnswer: 5*p**3 - p + 56","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 8\/3 of a century?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -2001 (base 13) in base 7?\nAnswer: -15546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 9 + 0 + -7 - -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 1872731 to the power of 1\/3, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = 94*b - 2. Let h = 1 + 1. Let n be k(h). Let t = n + -121. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 5.3 - 5. Let w = -13 - -7. Let n = -1321\/5 - -2637\/10. Sort w, -3, n, d.\nAnswer: w, -3, n, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-1)\/1)\/(2\/(-22)). Suppose 405*c - 98171 = -23922 + 68311. What is the greatest common factor of c and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9\/517 at least -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 21310 - 3231120?\nAnswer: -3203210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Work out -18966028 - 1.\nAnswer: -18966029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w be (409249 - -1)\/(21 + -7 + -13). Let l = 588250 - w. Round l to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -295 + 121. Sort -1, -3, v.\nAnswer: v, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -47c83 - -3?\nAnswer: -47c80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 15\/6*60\/375?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 1937642, 3875284, 5812926, 7750568, 9688210?\n\"Answer: 1937642*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 1\/102700 and 67\/9561370.\nAnswer: 95613700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -3*t**3*w**2 + 419*t**3 - t**2*w - 2*t*w**2 + t - 1667 wrt t?\nAnswer: -18*t*w**2 + 2514*t - 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is next in 922, 937, 952?\nAnswer: 967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 78 and 3666?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*p = -52604 - 40819. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 4 divide 1608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = d**2 - 1. Let u(h) = 2*h**2 + 2*h - 1. Let q(c) = -u(c) + 4*v(c). Give q(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 240 - 266.7. Let r = -26.1 + -3.9. Let o = j - r. Round o to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 0 + -6 - -3 - (-4 + 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*i - 15*i + 30 = 0. Solve -5*x + 25 = -5*c, 4*c - i*x = x - 16 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -6 - -6. What is the first derivative of -2 + z + 1 - 4*z + d*z wrt z?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -2 (b) -1 (c) -3 (d) -1\/10925\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b = 12 + -4. Let l = b + -6. Suppose 0 = a - 2*a + 5. Solve -z - 3*z + 5 = 3*p, l*z - a*p = -17 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 61197 and 183591?\nAnswer: 183591","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = 2*c. Let y(i) = 2686*i**2 - 2. Give y(s(t)).\nAnswer: 10744*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:11 PM and 8:24 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = -8*y + 7. Let t be g(-1). Let m(w) = 18*w - 12. Let a be m(9). Calculate the greatest common factor of t and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence quqa when four letters picked without replacement from auquqqtqt.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 52636065*-5\nAnswer: -263180325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -38, -32, -12, 28, 94, 192, 328, 508?\n\"Answer: p**3 + p**2 - 4*p - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2*o**5 + 1225*o**4 - 306*o**2 wrt o.\nAnswer: -120*o**2 + 29400*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is (-2)\/(-98)*2*(-137445)\/176715?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide 3633?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 7935805 and 4761483.\nAnswer: 23807415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 617 minutes after 8:02 AM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000686 rounded to five decimal places?\nAnswer: -0.00069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from dnnnoon.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) be the first derivative of o**2\/2 - 4*o - 14. Let v(u) = 660. Let i(q) = -157. Let z(c) = 21*i(c) + 5*v(c). Give -3*x(f) - 4*z(f).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 11623?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((t*t**(-6\/29)*t)\/t)\/(t**(8\/11)\/t))**(1\/60) assuming t is positive.\nAnswer: t**(17\/957)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 416 and 364?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-20)\/(-25)*(3 - 289\/(-2)). Differentiate -296*s**4 - 64*s**2 + 295*s**4 + 10 + o + 18 - 3*s**2 with respect to s.\nAnswer: -4*s**3 - 134*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -49\/5 + 46\/5. Let i = -2 - 3. What is the second smallest value in i, -1\/2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -2 - -1. Suppose -149*n - 2*n + 2567 = 0. Let d be (n\/(-4))\/(i\/8). Calculate the highest common divisor of d and 374.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*n = -3*g - 56 + 24 + 29, -2*g - 5*n = -12 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is -210407 >= -17042846\/81?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -l + 17*c - 9 = 15*c, 0 = -5*l + 5*c - 35 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2571, -2426, -2289, -2160?\nAnswer: -2039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 72 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -34 + 11 - z**3 - z + 14 + 7 to the form d*z**3 + h*z + a + k*z**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 511312674 a multiple of 854?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = -14444*i + 389973. What is o(27)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -133\/9083544 and 35\/744.\nAnswer: 281589864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hmi when three letters picked without replacement from {a: 1, c: 1, h: 1, i: 2, m: 2}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000019862877 to six dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z = 21\/6649 + -6796\/46543. Let o = 109\/12 - 28\/3. Which is smaller: o or z?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in 0.94, -2\/11, 1, -4, -670\/3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b - 4 = -99. Let f(a) = -a - 1 + 0*a**2 + 3 + a**2 - a + b*a**3. Calculate the smallest common multiple of f(1) and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = 1333*a**3 - 28*a**2 - a + 25. Let u(y) = -1332*y**3 + 24*y**2 + y - 21. Calculate 6*j(m) + 7*u(m).\nAnswer: -1326*m**3 + m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Put 64, -27969, -21 in increasing order.\nAnswer: -27969, -21, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = t**3 + 15*t**2 + 14*t + 2. Suppose 3*g - 70 = -j + 170, 2*j = 4*g - 310. Suppose 0 = 5*k - 9 + g. Let v be p(k). Which is smaller: 4\/3 or v?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(588)\/sqrt(192) + -5*(sqrt(49)*2 + sqrt(49)))\/(sqrt(14)\/(sqrt(2)*-1) - (sqrt(7) - 2*sqrt(252))))**2.\nAnswer: 24367\/1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2479128890.\nAnswer: 2, 5, 7, 4283, 8269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 27\/(-36)*(-4)\/(-3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g\/g**(-1\/6))\/g*(g*(g\/g**(-5))\/g*g*g*g)\/g*g)**19\/((g\/((g\/(g\/(g\/(g**(-2\/3)*g))))\/g*g))\/g*g*g**(-6))**(-9) assuming g is positive.\nAnswer: g**(739\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h = 1 + 9, -528 = -5*w + 4*h. Is 13 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*j + 4*w - 36, -9738*j + 32 = -9742*j + 4*w for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 56 (base 14) in base 16?\nAnswer: 4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 184 and 2106616?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 12 + -10122200001100?\nAnswer: -10122200001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -861303 * 0.8\nAnswer: -689042.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -3970478*g**3 + 2*g**2 - 1497053*g - 1 wrt g?\nAnswer: -23822868","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*(1*sqrt(432)*-3 + 1)**2.\nAnswer: -23334 + 432*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 20304 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) be the first derivative of -20*h**2 - 5*h - 3. Let z = -521 + 519. List the prime factors of l(z).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 275852319 and 102.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 41206163.\nAnswer: 79, 223, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -299352 divided by -49892\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f = 8\/13 - 10\/13. What is the nearest to -1\/3 in 0.1, f, 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -310 = -27*b + 94 + 136. Let x = 20 + -10. Solve 6*t + b = x*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence kkr when three letters picked without replacement from {r: 3, k: 4}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -45*h = -5*h - 18*h + 792 for h.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = 2*p**2 - 2*p + 6. Let d be w(6). Suppose -3*m - 44 = -i, m - 5*m + 5*i = d. Does m = -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f = -75 - 21. Let x be (208\/f)\/(2\/3). Let k(c) = c**2 + 104. Let r be k(0). What is the highest common divisor of x and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 z and 1 g when two letters picked without replacement from rrgzggzrrgrzggggr?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h\/h**(-3))\/h)**(-11)\/((h\/(h\/(h\/(h**11*h))))\/h**(-13)) assuming h is positive.\nAnswer: h**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is z in -3*z**2 + 72*z + 156 = 0?\nAnswer: -2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -5805540, -23222150, -52249836, -92888598, -145138436, -208999350?\nAnswer: -284471340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Divide 144 by 1157.\nAnswer: 144\/1157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -261416*o**5 - 2*o**4 - 2*o**3 - 2466014*o wrt o.\nAnswer: -5228320*o**3 - 24*o**2 - 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (456\/32 + 12)*404\/(-505)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 3412104 less than -38.1?\nAnswer: -3412142.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0*d - 23*d - d - 3*d to k*d + n and give k.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) be the first derivative of -p**4\/4 - 2*p**3\/3 - p**2\/2 - p - 241. Give a(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = -r**2 - 4883*r + 68547. Calculate a(14).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b be 12\/(-48)*(3 - 3). Suppose -5*r + 50275 + 48270 = b. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 322304*d**3 + 41677 wrt d.\nAnswer: 966912*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:39 AM and 5:17 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*j + 72 = -5*o + 287, 2*o - 5*j - 93 = 0. Differentiate b**4 - 63 - 45 + o - 2*b wrt b.\nAnswer: 4*b**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} {"text":"Question: Work out -1.611 * -1876.\nAnswer: 3022.236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = 7*w + 1 + w + 4 - 13*w. Let l be s(-2). Solve -m = -2*r + 5*r - 20, -r = 2*m - l for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -b3c9 (base 13) to base 7.\nAnswer: -132263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1302 or -1300?\nAnswer: -1300","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-1)\/5 + 32\/10. Suppose -2*s + y = s - z, -7 = s - 3*y. Suppose -4*m + 28 = -s*l + 6*l, 2*l + 16 = 4*m. Solve -4*d + 6 = l for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = -11*r - 106. List the prime factors of o(-21).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 104\/156 + 2 + (-4)\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 2\/7 or -3838?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = 15*h**3 - 2020*h**2 - 725*h - 177. Calculate p(135).\nAnswer: -6927","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) = 1. Let o(l) = 26*l**2 + l - 5. Let d(i) = -4*n(i) - o(i). Calculate d(1).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1 + 1472*c - 1482*c + 1.\nAnswer: -10*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 3991, 7936, 11845, 15718, 19555?\n\"Answer: -18*m**2 + 3999*m + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 937?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -107 + 2?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let b = 23.2 - 27. Let k = -1.47 + 0.27. Let i = k + b. Is 1 at most as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence owoo when four letters picked without replacement from {v: 1, o: 5, w: 7, y: 5}.\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1741086, -3482173, -5223260, -6964347, -8705434, -10446521?\nAnswer: -12187608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -49939, -199789, -449541, -799195, -1248751, -1798209?\nAnswer: -2447569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k = k - 5*z - 5, -11 = -3*k + 2*z. Suppose 0 = -2*l + k*d + 28, 3*d = -l + 4*d + 11. Calculate the smallest common multiple of l and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 3 + -2 + (-70)\/(-14) + -1. Solve 85 = -n*w + 95 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = t**2 + 14*t - 50. Does 42 divide u(-22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 530?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -18*q**3 - 82*q**3 - 72*q**3 + 120*q**3 + 2*q - 42*q**3 - 39*q**3.\nAnswer: -133*q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2 - 12426*l**3 - 139*l**2 + 12430*l**3 + 2 + 25*l**4 wrt l.\nAnswer: 600*l + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 746*z = 7460 + 12682 for z.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 44 a factor of 234342372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 97\/9786 and -89\/216690?\nAnswer: 1516830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = 74*s**2. Let c(g) = -8*g + 1. Let p(q) = 30*q - 3. Let u(r) = 3*c(r) + p(r). Give k(u(w)).\nAnswer: 2664*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u = 6664 - 2864. What is u rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1 < -42666?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q = 2 + 1. Suppose 2*w + q*w + 25 = 5*h, 5 = 2*w + h. Which is the nearest to w? (a) -2 (b) -0.4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = 9*r - 5. Let f(w) = -8*w + 6. Let s(h) = 4*f(h) + 3*o(h). Let i be s(-8). Suppose 0 = -3*x + 2*z + i, 3*z + 65 + 16 = 5*x. Does 15 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 26\/65 + (-304)\/10. Let u be c + 3*1\/(-3). Let x = u + 56. Solve -6*d + d = -x for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-r + 2*r + r)*(922 - 1770 - 22633*r**2 + 848).\nAnswer: -45266*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate 19\/((-114)\/(-16))*105\/280.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u be 4 + (-6*(-4)\/8 - 2). Suppose 8 = 2*s - 0*p - 2*p, 3*s - u*p - 16 = 0. Solve s*x + 2*h = 0, -3*x + 2 - 4 = 2*h for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 2*o**2 + 3898*o - 66844 = 0. What is o?\nAnswer: -1966, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d = 11 + -11.36. Let p = d + -16.64. Let g = 22 + p. What is the smallest value in g, 2\/23, 1?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 39, 217, 685, 1587, 3067, 5269, 8337?\nAnswer: 12415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = -32*v**2 + 892*v + 44. Calculate u(28).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h = 4 - 5. Let c = h + 6. Suppose n = 2*t + 2*t + 16, -4*t = -3*n + 16. Solve -10 = -c*a + 5*d, a - 4*a + 4*d + 6 = n for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u\/(u\/(u\/((u**(-1)*u*u)\/u))))**16 assuming u is positive.\nAnswer: u**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 y, 1 x, and 1 f when three letters picked without replacement from ybbffbbybqbbffxbbb?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-706)\/(-22239) + 174\/(-189).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -0.96, 2, 0.1, -23 in ascending order.\nAnswer: -23, -2, -0.96, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose l - 1 - 3 = 0. Suppose l*s = y - 8, -5*s = y + 13 + 15. Is 18 a factor of ((-18)\/(-4))\/((-2)\/y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-5)\/2)\/((-70)\/28). What is the biggest value in r, 0, -3\/8, -5\/2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24 = 75*i - 83*i. Let q(j) = -10*j - i*j - 3*j + 3*j. Give q(-2).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -23 (base 11) to base 9\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 24372 and 210?\nAnswer: 853020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 13180850?\nAnswer: 2, 5, 239, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(1 + ((sqrt(187) - (sqrt(187) + -2*sqrt(187)))*6)\/sqrt(11)*-1).\nAnswer: -24*sqrt(17) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 602264 to the power of 1\/2, to the nearest integer?\nAnswer: 776","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -8028 (base 9) in base 10?\nAnswer: -5858","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 110, 109, 116, 137, 178, 245, 344?\nAnswer: 481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = -1242*h**2 + 79489*h - 247. Give m(64).\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 4285 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 136*h - 139*h + 27 = 0 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2076 divided by -173.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -10 (base 11) in base 5?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 316570.8362 rounded to the nearest ten?\nAnswer: 316570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l + 35 = -5*d + 2*l, -16 = 2*d - 3*l. Put d, -4, -12 in descending order.\nAnswer: -4, d, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 2\/9 - 39*(-3424)\/(-938925)\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 291 minutes before 10:38 PM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-40)\/(-12)*30\/25. Differentiate 15 - v + 5 - b - 2*v with respect to v.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -279*d**3 - 1 + 282*d**3 - 3 + 2*d**2 in the form l + b*d + k*d**2 + y*d**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 1\/8, -4, -57.881?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = -k**2 - 11*k + 7. Let t be (-5)\/1 + -2 + 1*-3. Is 3 a factor of h(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = o - 1. Let m(t) = -3*t. Let x be 3\/(2 + 9\/(-6)). Let d be x\/(150\/35) + 2\/(-5). Give d*m(c) + 2*r(c).\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence rv when two letters picked without replacement from {k: 4, w: 2, v: 2, r: 1, f: 1}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = 2*o - 1. Solve -4*f - 12 = 4*m, 2*f + o*m + 3*m + 9 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 0.069 from -11945712438.\nAnswer: -11945712438.069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 5 times -831359?\nAnswer: -4156795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -91634598 - -86\nAnswer: -91634512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 43011 + 2?\nAnswer: 43013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a be -2 + 0\/(-3) + -3. Let s = a - -5. Suppose f + 2*z = 1059990, -z + 2*z + 5 = s. What is f rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 7*b - 353 + 311 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*p + 2*p + 2*p**2 + (3*p - 2*p - 3*p)*(-4 + 4 - 2*p) + 0*p**2 - p**2 - p**2 + 28*p**2 + 0*p**2 - 8*p**2.\nAnswer: 24*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 174266 is divided by 7921.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/4 in -17, 1565, 48, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Factor 324*i**3\/7 - 288*i**2\/7 + 64*i\/7.\nAnswer: 4*i*(9*i - 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 461377694 divided by 1?\nAnswer: 461377694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -1911, -1920, -1927, -1932, -1935?\n\"Answer: g**2 - 12*g - 1900","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 8.375316 centimeters in nanometers?\nAnswer: 83753160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate (10 - (19 - 4)) + 81 + -1 + (-13 - -3).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 267 or 268?\nAnswer: 267","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 152*r - 148*r = 12 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 14*x + 317 - 317 to the form z + t*x and give t.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = -k - 3. Let v be c(6). Let z be 8\/36 - 43\/v. Let l(p) = z*p - 2*p + 552 - 555. Determine l(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 354916?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -6 (b) 4\/5 (c) -4 (d) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {j: 8, o: 11, w: 1}. What is prob of picking 3 o and 1 j?\nAnswer: 88\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = -6 - 21 + 53 + 2*l**2 + 15*l - 15. Let i be v(-7). Solve 5*r - 27 = -0*d - 3*d, i*d + r = 19 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -55*v**2 - 7*v**2 - 23*v**2 - 3*v**2 - 2*v**2 + 105*v**2 - 14*v**2.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -2 (b) -3 (c) 28 (d) 4 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h = -38 - -31. Let d(x) = -x**3 - 8*x**2 - 6*x + 7. Determine d(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = 951*q - 1971. Calculate a(3).\nAnswer: 882","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 12443600 and 3600?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Add -4674370190 and -261.7.\nAnswer: -4674370451.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-16*36\/(-4608))\/(2\/944)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -z**3 - 44*z**2 + 107*z + 690 = 0.\nAnswer: -46, -3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 2129057443 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 425865, 851791, 1277775, 1703829, 2129965, 2556195?\nAnswer: 2982531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*y = 4*y + 106. Suppose -2*l = -3*l + 3*t + 54, 0 = -4*l - 5*t + 284. Suppose y = 7*j - l. Calculate the remainder when 66 is divided by j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 5740, 5731, 5710, 5671, 5608, 5515, 5386, 5215?\n\"Answer: -m**3 - 2*m + 5743","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -1111203 - 1?\nAnswer: -1111210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = 19*s - 2. Let p(v) = 2*v - 3. Let w(x) = -38*x + 12. Let h(d) = -3*p(d) - w(d). Let b(z) = 3*h(z) - 5*i(z). Give b(10).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*z**2 + 3*z - 3*z + 6*z - z**2 + 2 - 2*z - 2 + (-2 + 3 + 1)*(3*z**2 + 3*z**2 - 8*z**2) + z**2 - z**2 + z**2.\nAnswer: -7*z**2 + 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5278182 divided by 9667.\nAnswer: 546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = 26*l**2 + 7*l + 1. Let v be t(3). Let k be -1 + (4 - v\/85). Let x = k - 79\/510. Is -3\/4 <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 + -1 + (-7 - -16).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f = 36 + -14. Let d = 7 + -3. Suppose -t = d - 1, -f = -w - 5*t. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of (8\/18)\/(4\/11 - 0) and -39\/205?\nAnswer: 1845","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20*y + 275 - 1555 = 0. What is the remainder when y is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in 0.5199701 micrometers?\nAnswer: 0.0000005199701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) be the second derivative of 37\/2*y**2 + 4 - 13\/6*y**3 - 4*y - 1\/4*y**4. What is the first derivative of w(h) wrt h?\nAnswer: -6*h - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 501 minutes before 6:00 PM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let 4*u**2 - 433408*u + 11740155904 = 0. Calculate u.\nAnswer: 54176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -82*b**3 + 2039*b**2 - 41*b**4 - 183*b**3 - 17*b**2 + 16*b**4 + 24*b**4 wrt b?\nAnswer: -24*b - 1590","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -64*y**2 - 64*y**2 + 192*y**2 - 66*y**2 - 2*y + 21*y.\nAnswer: -2*y**2 + 19*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + (((sqrt(108) - (sqrt(108) + -1 + -4)) + sqrt(108) - sqrt(108)) + sqrt(108) + -2 + 4 + (sqrt(108)*-1 + 2 - -2*(sqrt(108) + 0)))**2.\nAnswer: 216*sqrt(3) + 508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gu when two letters picked without replacement from uggguguggg?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-7)\/35 + 14\/(-30). Let s = -2 - -3. Let t = s + -1.3. Is z > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 666?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u\/((u*u**(-2\/13)*u)\/u)*u)\/u**(-9))\/(u\/(u**2*u))**(-15) assuming u is positive.\nAnswer: u**(-258\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth smallest value? (a) -1\/4 (b) 4.5 (c) 1\/8 (d) -17 (e) -20 (f) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -47*h = -69650 - 96747 - 26585. Is 4107 smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 112, 287, 608, 1099, 1784?\n\"Answer: 4*g**3 + 49*g**2 + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round -22240121660 to the nearest one million.\nAnswer: -22240000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -10 + -1110?\nAnswer: -1120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k + 10 = -2*j, -2 - 20 = 2*j - 2*k. Is (-522)\/j - 2\/8 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 352 to the power of 1\/2, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 8970 is divided by 88?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n = -5 + 4.9. Let f = -4 + 8. What is the nearest to n in f, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 2 divide 815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y = 88 + -14. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -19, 33, 87, 143, 201, 261, 323?\nAnswer: 387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in 10, 31, 68, 121, 190, 275?\nAnswer: 376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3555951 is divided by 38651.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 325 minutes after 9:08 PM?\nAnswer: 2:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 75\/(-5) + 13 + 672*21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = 14*h - 49. Let z be s(10). Suppose -7*r + z = 6*r. Let c = r - -36. Is c a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = r**2 + 10*r - 16. Determine i(-11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 + 1 + 3 + (-14 - -11).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in 2\/89, 1, -158?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 233593427 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -6*-28\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put -60, -0.1, -0.2, 2\/9, -3 in decreasing order.\nAnswer: 2\/9, -0.1, -0.2, -3, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((b*b\/b**(-1\/10))\/(b*b**(-2\/35)))\/(b**(1\/8)*(b\/(b\/b**(1\/4)*b*b))\/b*b))**(-2\/45) assuming b is positive.\nAnswer: b**(-779\/6300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = y - 3*y + 100. Let i = y - 10. What is the remainder when (631 + 2 + 31 + -15)*4\/22 is divided by i?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*s - 7*s - 9 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -16 divided by -8889.\nAnswer: 16\/8889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -184*h**2 + 97*h**2 + 194*h**2.\nAnswer: 107*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m = -6 + 11. Suppose -2*n - 4*q + q = -1, 0 = -n + q + 8. What is the greatest common divisor of m and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 2, m: 3, h: 10, e: 5}. Give prob of picking 1 m and 1 e.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 27 a factor of 1648?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is -2\/1138489 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*(sqrt(170) - (sqrt(170) + sqrt(170)*-1)))\/(sqrt(810)*3).\nAnswer: sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**2)**(3\/2) assuming b is positive.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.2 * -163.12.\nAnswer: -32.624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = 7*l. Let u(p) be the first derivative of 86 + 0*p - 23\/2*p**2. Give i(u(a)).\nAnswer: -161*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -52, -88, -122, -154?\nAnswer: -184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 7001.785l in millilitres?\nAnswer: 7001785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*k = 4*l - 19 - 18 + 57, -7*l - 2*k = -k + 35 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 523\/8 > -0.31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n + 9 = 5*k - 2, 21 = 5*k - 3*n. Factor -2*h**k + 1 + h**3 - 3*h**3 + 1 - 5*h**2 + 7*h.\nAnswer: -(h - 1)*(h + 2)*(4*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.1*0.0477\nAnswer: -0.00477","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.2 in 2, 1, 0.5, 638?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -184352*n**2 + 3*n + 185096*n**2 - 3*n to l + q*n**2 + f*n and give q.\nAnswer: 744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (3 + -2 - -10) + -53 + 20 + 4.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = v**3 - 3*v - 1. Let c be x(-2). Let p be 10\/(-4) - c\/6. Let q(j) = 2*j**2 + 2*j. What is q(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 85 divide 9142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 65.866 rounded to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1742?\nAnswer: 2, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) be the third derivative of m**5\/60 + m**4\/3 - 3*m**2. Let g be c(-8). Solve k - 4*k = g for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -171.61041 to 0 dps.\nAnswer: -172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is -433622862 >= -433622865?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*v - 9 = -3*v. Suppose -2*o + 4*l = 16, -19 = -v*o - 3*l - 7. Let h(a) = -a**3 + a**2 + a + 35. Is h(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 205*m - 100775 + 97085 for m.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express 15 + 16 + 9 - 41 - 34*s in the form o + x*s and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 136 (b) 0.4 (c) -178 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand ((2 + 1 - 2)*(-1 + 6 - 3) - 8 - 7 - 37 - 4 + 5 - 2)*(-2*j**2 - 3*j**2 + 2*j**2 + j)*(-2 - 3 + 3).\nAnswer: -306*j**2 + 102*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 23463*i = 23419*i - 1320 for i.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z = -362 - -362.0179. What is z rounded to 3 dps?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -73 - -121. Let n be -2 - -3 - (0 + 0). Let j = n + 11. What is the highest common divisor of b and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-63930)\/(-14) - (-4)\/7. Suppose -q = -2*d - 0*d - 3*k, -k = 5. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:32 PM and 9:08 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 46\/(-8)*(-480 - (-1 - 3)) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.1 * -31577430\nAnswer: -3157743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y = 96 + -99. Let s(z) = -15*z - 44. Let f(v) = 2*v + 11. Let r(t) = -4*f(t) - s(t). Let o(i) = 4*i. What is y*r(d) + 7*o(d)?\nAnswer: 7*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = n**2 - 18*n + 33. Calculate y(16).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 921149609?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 8540, 8674, 8822, 8990, 9184, 9410, 9674?\nAnswer: 9982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Does -282163 = -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence nny when three letters picked without replacement from ynyn.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 2506 and 225876?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) be the second derivative of y**3\/6 + y**2\/2 - 8*y. Determine j(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 622841 from -120.\nAnswer: -622961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*y**2 - y**2 - y**2 - 2*y**2 + 2*y**2 - 5*y**2 + (-2 - 1 + 2)*(3*y**2 - 5*y**2 + y**2) + 0*y**2 - y**2 - 2*y**2 - 2*y - y**2 + 2*y.\nAnswer: -13*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 99\/1460 and (130\/15 - 8) + (-201)\/292.\nAnswer: 4380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -2 - 1. Does 8 divide 1 + 1 - (-5 + c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*u**2 - 288*u - 560.\nAnswer: -4*(u + 2)*(u + 70)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = p**2 + 11*p - 99. Let n be d(6). Solve 2*s = -0*x - x + 5, -n*x + 14 = 5*s for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1 + -1)*(-20)\/(-40)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 10\/10*2\/(-9). Let v = -0.66 + 0.36. What is the closest to h in -1\/4, -2\/9, v?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 559.03 to the nearest 10.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o = 12 + -29. What is the remainder when -1*o\/(2 - 1) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1*sqrt(825))\/(sqrt(3) - (sqrt(48) + sqrt(3))*-6 - sqrt(3)))**2.\nAnswer: 11\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + (-4*sqrt(14)\/sqrt(2)*1)**2 + 5.\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*q = 2*q + 16. Let j be ((-2)\/(-4))\/1*q. Suppose -j - 7 = -s. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = -1376*k - 5. Let w = 21 - 23. Let r be s(w). Suppose -5*a - r = -2*t, 0 = 2*t + 4*a - 3253 + 551. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l + 5*n - 5 - 2 = 0, -n - 7 = 4*l. Let i be 0*((-7)\/l + -4). Solve -4*s + 11 = 4*h + 3, i = h + 2*s - 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {u: 4, z: 3}. What is prob of picking 3 z?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 52, 207, 466, 829, 1296, 1867, 2542?\n\"Answer: 52*l**2 - l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 211 minutes after 5:09 AM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(-5*((sqrt(396) - (-2 + sqrt(396))) + -3))**2.\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*s + 12 = -7103*u + 7102*u, 2*s = 2*u + 8 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.336 in -7\/3, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 630 minutes after 6:52 AM?\nAnswer: 5:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Does 8 divide 2643320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 2c (base 14) in base 8?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c = 4 + -8. Let o = -0.143 + 109.143. Let i = o - 112. Put i, 4, c in increasing order.\nAnswer: c, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = c + 7. Let a be v(-5). Suppose 3*t - 4*o + 33 = 0, -4*t - 27 = -t - a*o. Let y = t - -9. Solve -h = -y*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 76 - -21a0a32?\nAnswer: 21a0aa8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z = -76 + 120. Is 31 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {k: 3, y: 2, c: 2, x: 4}. Give prob of picking 1 x, 1 k, 1 c, and 1 y.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 340 less than 233510796?\nAnswer: 233510456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 534?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 6 and 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Round 0.01664 to three decimal places.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate 14\/6*9\/(-3)*(-10)\/((-280)\/(-156)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-1)\/(-2)*-3)\/((-39)\/104).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ggxx. What is prob of sequence xg?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n = -249 + 275. Suppose -4*w + 34 = n. What is the third smallest value in -2, -8\/3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence llff when four letters picked without replacement from ffllcfflfl.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 5 - (-1 + 8) - 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = -75*z**2 - 311*z. What is n(-4)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (r + 0 + 0)*(2 - 3 + 4)*(920*r + 764*r - 952*r).\nAnswer: 2196*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 227*d + 0 + 2 - 232*d wrt d.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1666 divided by 2?\nAnswer: -833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -6 + (96\/4)\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = 2*v + 34 - 2*v - 24 + v. Give w(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = 688*r + 248. List the prime factors of k(6).\nAnswer: 2, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 142736359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose o + 5*q - 80 = 0, 4*o - 8*o - q + 358 = 0. Solve 4*p = 86 - o for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*v = -5*b + 2*b - 12, -5*b = -4*v + 16 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (((-27)\/15)\/((-3)\/(-4)))\/((-1206)\/4020).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1562 and 204226.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -67\/20 and (2\/(-12))\/((-6)\/(-99)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-24)\/10 + 8\/20. Let i be (1 - 0)\/(t\/(-6)). Is i at most 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor u**4\/5 + 3*u**3\/5 + u**2\/5 - 3*u\/5 - 2\/5.\nAnswer: (u - 1)*(u + 1)**2*(u + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*d - 20, 0*d + 5*d - 345 = -5*h. Calculate the greatest common factor of h and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*(sqrt(152) - sqrt(152)*3)*3)\/((sqrt(48) + -1*sqrt(1200))\/sqrt(6)).\nAnswer: 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 62478?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in sixty-one halves of a century?\nAnswer: 36600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 4, 87, -6.8, -0.5?\nAnswer: -6.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = -1. Let c(x) = -1. Let s(l) = 2*l + 7. Let v(u) = 5*c(u) + s(u). Let w be 4\/(-6) + (-5)\/(-3). Let i(q) = w*m(q) + v(q). What is i(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -12 - -248. Suppose 2*z = -4*t + 532, z + 4*t + a = 2*z. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 29, 62, 111, 170, 233, 294, 347, 386?\nAnswer: 405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 602*j**2*y**3 + j**2*y**2 - 13*j**2*y - 3*j**2 + 3*j*y**3 + 2*j*y**2 - 430*j - 2*y**3 + 9 wrt j?\nAnswer: 1204*y**3 + 2*y**2 - 26*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 1096 and 76648.\nAnswer: 10500776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -41 + s + 16 + 25.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*w + 1 = 4*b + 8, -4*w = 4*b + 8 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -11 (base 2) in base 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 662041 to the power of 1\/2, to the nearest integer?\nAnswer: 814","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d*(d\/((d**9\/d)\/d*d*d))\/d*d)\/(d**(-14\/9)\/d)*(d**(-3\/5)\/d)**(-18))**(-20) assuming d is positive.\nAnswer: d**(-4384\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i = 172 + -337. Let f = -32 - i. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 2345 and 209442?\nAnswer: 7330470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-15)\/(-12))\/((-3)\/(-144)). Suppose -95 = 2*d - a, o = -3*d + 2*a - 85. What is the smallest common multiple of 10 and (18\/d)\/(1\/(-25))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((l\/l**(-7))\/l**5)\/(l**(-2\/53)\/l*l**(-1\/3)\/l))**(21\/5) assuming l is positive.\nAnswer: l**(5978\/265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 19391.\nAnswer: 19391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1 - -14. Let a(o) = o**2 - o - 2. Suppose 0 = -t + 3. Calculate the remainder when p is divided by a(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -28505 + 28331.83. Let d = -172 - b. What is d rounded to one decimal place?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 62886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l be 1\/(-3)*(-11 - -11). Suppose 1 = f - l. Suppose 0 + 27 = 5*p - 3*n, n + 16 = 4*p. Solve -5*w + k - 2*k = f, p*w + 4 = -4*k for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 162 and 756?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = b**3 - 2*b**2 - 3*b + 2. Let a(g) = -2*g**2 + 8*g - 34*g**3 + 7*g**2 - 6 - 26*g**3 + 57*g**3. Determine 3*a(m) + 8*k(m).\nAnswer: -m**3 - m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 792*c*g + 25358770*c - 3911*g + 23 with respect to g.\nAnswer: 792*c - 3911","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 divided by 64.\nAnswer: -1\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 22 in 1\/5, 2, 1, 0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*f**2 - 4911*f - 9834 = 0. What is f?\nAnswer: -2, 1639","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y = -8 - -2. Let h(b) = -b + b**2 + 1 - 7 + 2*b + 0*b. List the prime factors of h(y).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-9 + 15 - 7) + -7 + (-4 - -2).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) = -13*f**2 + 8*f**2 + 4*f**2 - f**2. Let i(o) = -10*o. Determine i(y(m)).\nAnswer: 20*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -14*i + 4 = -24 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from lloo. What is prob of sequence lo?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 97 + 199*a - 48 - 28.\nAnswer: 199*a + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 100019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 2104948 and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 903 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 0 - 3\/(6\/(-4))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 6252 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) = n**3 - 16*n**2 - 15*n - 6. Determine q(17).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -10101100110 - 10010101000100?\nAnswer: -10101010101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t be 3 + (-8)\/((-40)\/(-11)). Factor t*n**2 - 2\/5*n + 2\/5*n**3 - 4\/5.\nAnswer: 2*(n - 1)*(n + 1)*(n + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-246)\/328 + (7\/((-56)\/(-486)) - 8) - 6.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -2 - -1.8. Let r = 12 + -15. Let d = -2 - -2. Which is the closest to 0.2? (a) t (b) r (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 59037 and 33.\nAnswer: 59037","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 48346 or 48340?\nAnswer: 48340","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g + 7*g = 120. Suppose -g = -0*c - 5*c. Let r(p) = 9*p + 11. What is the units digit of r(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 14177 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*b - 5*b + 1 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 47 = 5*k + 27 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -302 and -6.6531257?\nAnswer: 295.3468743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 16450 divided by 1263?\nAnswer: 16450\/1263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*o**2 - o**5 + 2*o**2 + (-2*o**5 + 0*o**2 + 0*o**2)*(4 - 3 - 3) - 4*o**5 + o**5 + o**5 - 3*o**5 + 99*o**2 - 99*o**2.\nAnswer: -2*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*r**2 - 7*r**2 + 2*r**2)*(0 + 3 - 1)*(4*r**3 - 2*r**3 + 6*r**3).\nAnswer: -144*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sort 25, 3, 8042 in descending order.\nAnswer: 8042, 25, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 14388 times 0.2?\nAnswer: 2877.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = -3*o**2 + 17*o. Let b(j) = 9*j**2 - 51*j. Determine 4*b(c) + 11*q(c).\nAnswer: 3*c**2 - 17*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 505477 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n = -3106 - -3100. Let i(b) = -35*b - 204. Determine i(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 43 + -41 - (0 - (-1 + -1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 372302 to the nearest integer?\nAnswer: 610","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = 3*k - 2. Suppose m = -0*m + k. Is (20 - 3) + m + -3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 10635 and 1473.\nAnswer: 5221785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*z**2 + 2*z**2 + 0*z**2)*(-2*z - 3*z + 4*z) - 5*z**3 + 6*z**3 + 0*z**3 + (-578*z**2 + 1295*z**2 - 578*z**2)*(-2*z - 5*z + 4*z).\nAnswer: -418*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 171*y + 6209 = 8588 - 1834 - 4649 for y.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = -432*s - 1292. Let f be m(-3). What is the second biggest value in 0, 2\/7, 5, f, -7\/2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 81571?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*v**2 + 3*v**3 + 4*v**2)*(-1 - 2 + 1)*(293*v + 1328 - 1328).\nAnswer: -1758*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 14*w**2 - 219 + 219 - w to the form z + r*w + k*w**2 and give k.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 4, -4, -1, 0.12 in descending order.\nAnswer: 4, 3, 0.12, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1 + 17. Let n = -16 + j. Is 5 > n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence imi when three letters picked without replacement from miiiiiiimmi?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j = -y - 14723, 4*y - 29440 = -5*j + j. Does 114 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m = -14 + 4. Let x be (m\/(-4))\/((-9)\/72). Solve b + x = -1 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j - j + 40 = 0. Suppose j = w + w. Suppose w = y - 13. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) be the third derivative of w**6\/540 - 7*w**5\/270 + 5*w**4\/36 - w**3\/3 + w**2 + 69*w. Solve l(j) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = 118*q - 4. Let y be g(3). Let f = -7844 + 7858. Calculate the greatest common factor of f and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: (-12)\/75*290\/29\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 4 divide 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let p = -2 + 4. Suppose -p*w + 8 = 2*w. Let b(q) = -2*q - 2. Let a be b(-3). Solve w + a = -3*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.2 - -2146562?\nAnswer: 2146561.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) = -2*p - 4. Let m(h) = -3*h - 3. Let r(y) = 3*m(y) - 2*o(y). Let n be r(1). Find the common denominator of 73\/2 and (-3*3)\/(2\/n).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) be the first derivative of h**2\/2 + 12*h + 3. Calculate the least common multiple of (-106)\/(-10) + -3 - (-6)\/(-10) and b(-10).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (0\/17)\/((-2)\/(-2)*-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*n**3 + 2*n**3 - 2*n**3)*(2*n - 2*n - 2*n) - 10*n - 3*n**4 + 10*n + 512248*n**2 - 512248*n**2 - 2183*n**4.\nAnswer: -2182*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d be 704\/9 - 82\/369. Let b be 0 + (-5 - (-210)\/d). Which is bigger: b or -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 938 = 11*z - 16486. Calculate the highest common factor of 27 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -3001103 (base 4) to base 6\nAnswer: -133135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 25 = 6*h - h, 4*h - 32 = 4*w. Let p(c) = -c**2 - 4*c + 2. Let g be p(w). Suppose g*d = 82 + 93. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*g**4 - 2*g**4 + 0*g**4 + (g**3 + 0*g**3 + 0*g**3)*(2*g - 2*g - 2*g) - g**4 - 2*g**4 + 4*g**4 + 0 - 2*g**4 + 0 - 4*g**4 + g**4 - g**4.\nAnswer: -5*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1\/12)\/((-54)\/(-8) - 7).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v + 0*v = 3*g + 24, 0 = -v + 2*g + 13. Suppose -v*q + 160 = -5*q. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1995?\nAnswer: 3, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1582*k**2 - 1007*k**2 + 908*k**2 + 885 - 885.\nAnswer: -1681*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*r + 462773 = 4*t - 8*r, 0 = r - 1. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 398 divide 43217505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k = 1 - 5. Let w(v) = 5*v - 4. Let l(z) = -7*z - 7*z - 1 + 6*z + 9*z. Calculate k*l(q) - w(q).\nAnswer: -3*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = 3*x**3 - 84*x**2 - 102*x + 153. Does 48 divide l(39)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 226 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 1*(16\/416*13)\/7\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -2775907*j - 3951206?\nAnswer: -2775907","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6452 is divided by 2467.\nAnswer: 1518","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express (-3*b + 2*b + 3*b)*((-3 + 3 - 1)*(3 + 2 - 6) + 0 + 0 - 2 + 3 + 3 - 4)*(11 + 12 - 2) as f + m*b and give m.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i = 18 - 13. Let v = -11 - -10. Put 1, v, i in ascending order.\nAnswer: v, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*r - b - 2 = 0, 1 = 2*r + 4*b - 13. Calculate the remainder when 15 is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b + 0 = 3*b - 476. What is the smallest common multiple of b and 10?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 171.5 - 176.5. What is the smallest value in 2\/3, -2\/7, b, 2\/7, 0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xhh when three letters picked without replacement from {x: 5, h: 7}?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -25*w - 4*w**3 + 3*w**3 + 13*w + 14*w - 13 + 4*w**3 to the form g*w**3 + n*w + c*w**2 + y and give y.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -62, -561, -1912, -4541, -8874, -15337?\n\"Answer: -71*x**3 - 2*x + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(95) + 1*(sqrt(95) + (sqrt(95) - sqrt(95)*-1 - sqrt(95))))\/sqrt(5).\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 421a89 (base 11) in base 10?\nAnswer: 676124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 10103 + 3?\nAnswer: 10112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Multiply 15.45 and 0.3.\nAnswer: 4.635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put 0.05, 1\/2, -3\/13, 2\/29 in descending order.\nAnswer: 1\/2, 2\/29, 0.05, -3\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*h - 4 = -6*h - 5*a, -8 = -4*h + 2*a for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s be 138\/33 - 2\/11. Find the third derivative of 5*k**2 + k - s*k**4 - k - k**2 wrt k.\nAnswer: -96*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -0.5, 1, -36, -3\/5, -4 in descending order.\nAnswer: 1, -0.5, -3\/5, -4, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sum 0.1 and 0.09763246.\nAnswer: 0.19763246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 331787411 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 575274 is divided by 180?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = -3*y + 85. What is z(29)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -47 + 52 = a. Let p(q) = -2*q - 2*q + 2*q. Let j be p(-1). Put a, j, -1 in ascending order.\nAnswer: -1, j, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be -6 + 2532 + -1*1 + 2. Suppose 0 = 2*x + 5*x - i. What are the prime factors of x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find n such that -3\/2*n**3 - 3\/2*n - 39\/8*n**2 + 9\/2 = 0.\nAnswer: -2, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 73423.\nAnswer: 7, 17, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(80) + -2)**2 + 4.\nAnswer: -16*sqrt(5) + 88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 352 = -0*w - 4*w. Let b be (1 + -3)\/(2\/w). Suppose 0*n = -n + b. Calculate the greatest common factor of n and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in twenty-five eighths of a micrometer?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -3 + (13 - 24) + 8 + 2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -0.14*-0.21\nAnswer: 0.0294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 436, 3447, 11598, 27457, 53592?\n\"Answer: 428*a**3 + 2*a**2 + 9*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-9)\/21*((-24)\/(-6) + -3)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = 15*i**2 + 14*i - 109. Is f(12) 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 {d: 1, s: 1, k: 2, r: 1}. Give prob of picking 1 s and 1 k.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = 325*r**2 + 7*r + 7. Let i be n(-2). Suppose i - 361 = 4*c. List the prime factors of c.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = -m**2 + m. Let y(n) = 6*n + 6. Let b(x) = -16*x - 17. Let d(p) = -4*b(p) - 11*y(p). Give d(r) + f(r).\nAnswer: -r**2 - r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 536626591 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*a**2 - 5*a**2 + 2*a**2)*(1 - 1 + a + (-1 + 1 + 1)*(-164*a + 466*a - 112*a)).\nAnswer: -191*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) be the second derivative of -l**3\/6 + 2*l**2 - l. Let o(c) = -2*c**3 + 16*c**2 + 2*c - 8. What is the remainder when o(8) is divided by s(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1.319 + -1.681. Let s = 2 + -2. What is the closest to 2\/5 in s, y, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-162)\/(-21) - 6\/(-21). Let u be (-4)\/d - (-514)\/4. Does 11 divide (-6)\/(-9) - u\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-9 + -1)\/(-14 + 0 + 12). Let p(c) be the first derivative of -s + 0*c**2 + 23\/3*c**3 - 6*c. Find the first derivative of p(z) wrt z.\nAnswer: 46*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 1189*-0.03136\nAnswer: -37.28704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 117 and -0.09?\nAnswer: 117.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -13313032033 (base 4) to base 7\nAnswer: -23343220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 1048 and 12?\nAnswer: 3144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -41b7 + -bc3?\nAnswer: -4d7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r = 924\/29 - 10077\/319. What is the closest to r in -0.5, 0.4, 14?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 429960, 859802, 1289536, 1719162, 2148680, 2578090?\n\"Answer: -54*s**2 + 430004*s + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in 372934, 745867, 1118800, 1491733, 1864666, 2237599?\nAnswer: 2610532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -9321, -18587, -27853, -37119?\n\"Answer: -9266*g - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a = 10110.551502 - 10220.5514. Let f = 110 + a. What is f rounded to 5 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from nloilnlnlnollhi. What is prob of picking 2 l and 1 n?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from amkk. What is prob of sequence amk?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*w + 10*r - 6*r = -13, w + 3*r = -7 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (16\/(-7))\/4*(-12)\/((-12)\/(-7)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -7\/16, -2\/19, 2\/262545 in decreasing order.\nAnswer: 2\/262545, -2\/19, -7\/16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) be the second derivative of g**4\/6 + 4*g**3\/3 + 3*g**2 - g. Let v be n(-6). Suppose -x = 4*x - v. Solve 2*j + 0 = x for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 2.2 - 2. Let d = -1 + -1. Let k = -12 - -12.1. Which is the nearest to d? (a) -5 (b) k (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 98 minutes before 5:55 AM?\nAnswer: 4:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence tjqq when four letters picked without replacement from ajltqjqzz?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert 86 (base 11) to base 7.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express 3010 + 2*v**2 + 792*v**3 - 89*v**3 + 3024 - 32*v**3 - 6035 in the form t*v**2 + j*v**3 + a + z*v and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w be 10 - 6 - (-1 + 1). Let h(b) = 2*b**2 - 8*b**2 - 5 + 10*b + 2*b**3 + w - 4*b. Is h(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -218 + 153. Let b = 60 + h. What is the second biggest value in b, 0.05, 2?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -56 - 100402?\nAnswer: -100461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 8.232219g in micrograms?\nAnswer: 8232219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = 303\/70 - 39\/10. Suppose -6 = l + 6. Let g be l\/(-9)*(-3)\/(-2). What is the nearest to g in -3\/8, n, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 38 a factor of 861878?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from qssrqqxsuxsqqsssuqq. Give prob of sequence usqq.\nAnswer: 49\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of j*k**5 + 2*j*k**3 - 14*j*k**2 + 6*k**6 - 4*k**2 wrt k.\nAnswer: 60*j*k**2 + 12*j + 720*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*w + 2*k + 15 = 0, -2*w + 12 = -8*k + 6*k for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 5939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort 5033857, 3\/8, -1 in increasing order.\nAnswer: -1, 3\/8, 5033857","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 16*a**3 + 2453*a**2 + 12886*a - 6?\nAnswer: 96*a + 4906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 48264?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.5 - 1418.849.\nAnswer: -1418.349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Put -22\/7, -560, 0.4 in descending order.\nAnswer: 0.4, -22\/7, -560","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 43\/3 of a decade?\nAnswer: 1720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 41, 58, 63, 62, 61, 66, 83, 118?\nAnswer: 177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 4200514 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1813 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let -4*i**4 - 80*i**3 + 280*i**2 + 80*i - 276 = 0. What is i?\nAnswer: -23, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Add 363868 and -679.\nAnswer: 363189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.08? (a) -0.2 (b) 8 (c) 1 (d) -512\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand -w - w + 4*w + (-1 - 1 + 1)*(0 + 0 - w) - 2 + 4*w + 2 - w - 8*w - 3*w - 3 + 2*w + 3 + 3*w + 5*w - 5*w + (1 - 2 + 2)*(-w + 3*w - w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put -2\/61, -9\/11, 193 in decreasing order.\nAnswer: 193, -2\/61, -9\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*(sqrt(320) + (sqrt(320) + -2 + -3 + sqrt(320))**2 + (1*-3*sqrt(320))**2 + (-3 + 1 + sqrt(320) + sqrt(320)*1 + sqrt(320) + 4)**2).\nAnswer: -224*sqrt(5) + 28276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/11? (a) 1 (b) -17 (c) 19\/2 (d) -1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -4 + 228104?\nAnswer: 228100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ece when three letters picked without replacement from cececeecec.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = -s**3 - 3*s**2 - 7*s - 4. What is the tens digit of o(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*j = 4*j - 4. Let g be (-2 + 1)\/(j\/(-84)). Let c be (-14)\/g*18\/16. What is the smallest value in c, 0.02, 3?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 382207*o**4*p - 6807*o*p - p - 26 wrt o?\nAnswer: 4586484*o**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 0 + (9 - (-8 + 3 + 10)) + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = 19*g**2 + g + 2. Let v be n(-1). Let r be 2\/1*10*5. Calculate the highest common divisor of v and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g = 3 + 5. Suppose 4*j - 6 = 6*j. Sort j, g, -2 in decreasing order.\nAnswer: -2, j, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*6*sqrt(528)\/(sqrt(36)\/sqrt(3))*-3.\nAnswer: -180*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = -2*q**2 + 4*q + 3. Suppose -10 + 4 = -3*g. Let u(f) = -2*f**g - 2*f**2 + 5*f**2 + 0*f**2. Let m be u(2). What is l(m)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h + 4 = h. Sort -3, 0, h in decreasing order.\nAnswer: h, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = 6937*b**3 + 11*b + 22. Let m(c) = 1387*c**3 + 2*c + 4. What is 2*f(x) - 11*m(x)?\nAnswer: -1383*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r = -51 - -71. Is 20 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -25 - -846326?\nAnswer: 846301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 40 + -4 + -19 - 10 - (0 + 6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 2309512?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 290 and 1508.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Work out 2 * -1.54192.\nAnswer: -3.08384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = -s**2 + 6*s + 4. Let a be c(6). What is the units digit of -2*a\/8*-6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (12\/18)\/(1*(-4)\/(-1614)). Let i = q - 87. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a**39\/(a**(-14)\/a))\/((a*a**21\/a*a)\/a*a\/(a*a\/a**(-2\/27))))**(1\/6) assuming a is positive.\nAnswer: a**(460\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is c - 61b82?\nAnswer: -61b74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m = -441\/548992 - 1978821475\/195990144. Let c be (163\/(-19397))\/(2\/(-314)). Let h = m - c. Calculate the common denominator of h and -32\/33.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -553 = 4*r - 533 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-69)\/9)\/((-110)\/(-66)*(-12)\/60).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l + h = 48, 7*l - 2*l = -4*h + 126. What is the remainder when l is divided by (-8)\/12 + 20\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) be the first derivative of 89*p**5\/5 - p**2 + 48*p - 63. What is the second derivative of l(f) wrt f?\nAnswer: 1068*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 51.9 + -52. What is the closest to x in 5, 0, 27?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = 3*b + 21. Let y be g(9). Calculate the greatest common factor of y and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*d**4\/3 - 1347140*d**3\/3 + 11633279283*d**2 - 1789724646*d = 0. Calculate d.\nAnswer: 0, 2\/13, 51813","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Does 5 divide 693634910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 446192 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*h + 31 = -5. Suppose -h*n + 0*n - 2*j = -19, -8 = -4*j. Solve 5 = -n*t - 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -13*d**2 + 2*d + d + 18*d**2 - 7*d**2 - 10 - 71 to n*d**2 + o*d + b and give b.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + sqrt(21)\/sqrt(3)*-2.\nAnswer: -2*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in c**3 - 72*c + 72*c.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-6)\/(-12) + 1\/2. Let f = l - -16. List the prime factors of f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (145\/(-348))\/((-15)\/27). Sort 18\/5, w, -1 in decreasing order.\nAnswer: 18\/5, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-51)\/(-119) + -1 + 242\/7. Suppose -2*a + 544 = -0*a. Calculate the greatest common divisor of f and a.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 83.33 to the nearest integer.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 94775023951 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d = 8 - 5. Let h be (3\/(60\/(-8)))\/(3\/30). What is the biggest value in d, -0.2, -3, h?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -v - 117*v**3 + 114*v**3 - 3 + 1 + 4*v**4 in the form m*v**2 + w + n*v + p*v**4 + x*v**3 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*w - 2 + 8, 84 = 4*c - 2*w. Let q = c + 171. Is q 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 1396739 and 17307?\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = 4*m - 7. Let p(n) = 256 + 3*n**2 - 21*n + 246 + 274 - 741 - 4*n**2. What is 2*p(j) + 11*u(j)?\nAnswer: -2*j**2 + 2*j - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (10\/85 - 3480\/7038) + 5\/15.\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round 7668608.6 to the nearest one hundred thousand.\nAnswer: 7700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let p be (1*(-12)\/5)\/(200\/(-500)). Solve 0 = -o + p - 7 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: (-1*(-15 + 2))\/((96 + -95)\/(6\/2))\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c + 3*m = 333 - 353, -m - 5 = -c. Let a(s) = -s**3 + 5*s**2 + 8*s - 12. What is a(c)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -3 in -5, -12, -3, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*sqrt(35)\/sqrt(5)*4*-3.\nAnswer: 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m = 4 + 2. Find the first derivative of 3*v**3 + 0*v**2 + v**m - v**2 + 3 wrt v.\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = -3*f**4 + 6*f**3 + 25*f**2 + 8*f. Let c(b) = 7*b**4 - 11*b**3 - 49*b**2 - 16*b + 1. Let a(y) = 4*c(y) + 7*m(y). Let a(d) = 0. Calculate d.\nAnswer: -1, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -2 greater than 1030830?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1170.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u = -38 - -40. Factor u*f - 2*f + 21*f**2 - 12 + 0*f - 6*f**3 - 12*f.\nAnswer: -3*(f - 2)**2*(2*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*b + 13367 = -5*h + 13312, -4*h - 2*b = 62 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = -37*h - 3. Let c(o) = 408*o + 34. Determine 3*c(r) + 34*m(r).\nAnswer: -34*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = c**3 - c**2 + 3*c + 2. Suppose 20*g = -3*g - 14*g - 111. Let a(b) = 2*b + 1. What is g*a(r) + 2*n(r)?\nAnswer: 2*r**3 - 2*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -n - 0*n - t + 51, -2*t = 4. Solve n = 5*m + 73 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 10, k: 10}. What is prob of picking 2 x?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -5*c**3 + c**2 - 9*c + 0*c**3 + 10*c + c**4 - 3*c**4 to the form p + f*c**2 + b*c + a*c**4 + l*c**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i = 474 - 442. Suppose r = p, -5*p - 11*r = -8*r - i. Solve 0 = -5*c - p*a + 25, -4*a - a - 10 = -2*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 945, 625, 81, -693, -1703?\nAnswer: -2955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = -27*a**3 + 2*a**2 + 48*a - 49. Let r be s(1). Suppose -2*v - 2*v = -4*t - 12, 5*t + 4*v = 30. Sort r, 5, t in increasing order.\nAnswer: r, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -o**2 + 3*o + 17*o + 5223*o**3 - 5224*o**3 as z*o**3 + p*o**2 + m + k*o and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = -4*g - 36. Let m be o(-10). Suppose -m*a + 77 = 3*a. Is 2 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*z + 4*n + 17, -3*n = -2*z - 0*n + 13 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = -j**2 - 167*j + 659. What is g(4)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) be the first derivative of -11 + 1\/20*d**5 + 1\/4*d**3 - 1\/4*d**4 - d + 1\/2*d**2. Factor k(r).\nAnswer: (r - 2)**2*(r - 1)*(r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 406 divide 1264261670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*j + o + 27, 0 = -5*o + 20 - 35. Solve 6 = -2*s + 4*t, s + 2*t + 1 + j = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h*h**(-1\/2)*h)\/h*h)**1 assuming h is positive.\nAnswer: h**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*r - 4*r + r)*(20 - 20 + 13*r).\nAnswer: -65*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z = 947\/13 + -73. Let f = 1 + -1. Is z bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u = 4*n + 4*u - 40, 0 = -2*n + 4*u + 38. Suppose 3*j = n - 2. Suppose -j*z - z + 332 = 0. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -184 + 193. Calculate the remainder when 69 is divided by a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 12\/(-78) - (-93)\/13 - -3 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-4)\/(120\/9)*(-355)\/213. What is the closest to -2 in 2\/15, 2, g, 7.5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 y and 1 m when two letters picked without replacement from yvvevmvyywemywmvm?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l be -1 - 24\/(-19) - -1. Let g = 8847 + -8845. Which is smaller: l or g?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 31 + 2 = -11*y. What are the prime factors of (809\/(-4))\/(y + 11\/4)?\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of 0.1315 and -26.\nAnswer: -25.8685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 439 divided by -10?\nAnswer: -439\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*sqrt(624)*-1)\/(-5*sqrt(24)\/sqrt(2) - sqrt(12)).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l - l + 15 = 0. Suppose l*z - 5*a + 11 = -0*z, 3*a - 3 = 3*z. Which is smaller: z or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find w, given that 4*w**5\/3 - 1232*w**4\/3 + 29872*w**3\/3 + 133144*w**2\/3 + 171724*w\/3 + 69688\/3 = 0.\nAnswer: -2, -1, 31, 281","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1 - -6 - ((0 + -7 - -8) + 12)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express -279*q**2 - 80*q**2 - 55*q**2 + 3*q**3 + q - 241*q**2 - 2*q**3 as w*q + b*q**3 + s*q**2 + p and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + sqrt(14)\/sqrt(7) + sqrt(2) + 1)**2.\nAnswer: 24*sqrt(2) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20*n - 2*l + 300756 = 24*n, 5*l + 20 = 0. List the prime factors of n.\nAnswer: 17, 4423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) be the second derivative of -2*g - 5\/6*g**3 - 1\/6*g**4 + 0 - g**2. Let n be s(-3). Is -6 not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 2.767 and -0.853?\nAnswer: 3.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (5 + 19*m - 5)*(0 + 2 - 1 + (-2 + 3 + 1)*(3 - 4 - 1) - 8 + 4 - 12) to v + s*m and give s.\nAnswer: -361","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Differentiate t**3 - 73*t**2 - 57*t - 197 + 58 - 2*t**3 + 73*t**2 wrt t.\nAnswer: -3*t**2 - 57","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = 6*d + 160. Let r be k(-14). What is the highest common divisor of r and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = x**2 - 2*x + 2. Let w = -14 + 20. What is the smallest common multiple of w and h(3)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -9872, -83, 0 in increasing order.\nAnswer: -9872, -83, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = -41*c - 3582. Let d(j) = -18*j - 1790. What is 7*d(h) - 3*i(h)?\nAnswer: -3*h - 1784","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 + 21 + (-15 - (9 + 0 + -26)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x = -3.5 + 4. Let y = -1 + 0.9. Let s be 7\/(-21)*2\/2. What is the closest to y in -1\/4, x, s?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-12)\/(-5))\/((-27)\/15 + 2). Sort 4, 5, q in increasing order.\nAnswer: 4, 5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.01353 rounded to three dps?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 18*m**2 + 22*m**2 - 54*m**2 + 16*m**2 + 189*m**3.\nAnswer: 189*m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 84\/1245329 or -1\/2?\nAnswer: 84\/1245329","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) be the first derivative of 6*b**2 + b - 108. Let q(r) = -6*r. Give k(q(y)).\nAnswer: -72*y + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 divided by 8782878.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 3335*j + 29150 = -174285 for j.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1\/3834 or 1672?\nAnswer: 1672","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o be 1 + -1*(0 + 1). Let n be 4\/16*(-96)\/216*-45. Solve -2*a + 2 = n*d - 1, 3*a - 5*d - 17 = o for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 4627.832ug to kilograms.\nAnswer: 0.000004627832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n be 2*(-10)\/4 + 3. Let g be (1 - 1)*n\/(-2). Solve g*l - 4*l = 20 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -51, -30, -9, 12, 33?\n\"Answer: 21*s - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 5, 15364, 0.4, 1\/19?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p = 52 - 50. Put -3, p, 3 in decreasing order.\nAnswer: 3, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4 = -p, -j + 13 = -8*p + 12*p for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -39, -107, -203, -321, -455, -599, -747, -893?\nAnswer: -1031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3132 = 503*b - 494*b. Let z = b + 352. Solve 5*t + z = q - 23, 5*t + q = -23 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 1414 divide 1136573200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d = -4*k + 3 - 28, -k + 2 = -4*d. Let h(n) = 26*n + 269. What is h(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4249000 rounded to the nearest one hundred thousand?\nAnswer: -4200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000000362974393 to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 53304 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*(sqrt(98) - ((sqrt(98) + -2)**2 - sqrt(98))) - sqrt(98)) + 3*(6*sqrt(8)\/sqrt(4))**2.\nAnswer: -175*sqrt(2) + 624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = w**3 - 4*w**2 + 2. Let x(y) = -y**3 + 7*y**2 - 11*y + 5. Let l be x(2). Give t(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 6, -2548, -0.5, 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:17 AM and 7:09 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 36229093 to the power of 1\/5, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate (15\/80*16 - (-1 + 1)) + -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 10727 and 3102627.\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*h - 11 + 2 + 8 - 35 + 5 to the form b + u*h and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = 2*b - 1. Let s(i) be the second derivative of 1\/6*i**3 - 1\/2*i**2 - 9*i + 0. Calculate -3*c(z) + 4*s(z).\nAnswer: -2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 o and 1 v when two letters picked without replacement from {o: 6, v: 1, k: 3, n: 2}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*f - 16*f + 4*f.\nAnswer: -15*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -1 + 20?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 90 and 99.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d = 9069 - 98927\/11. Let z = 11249\/132 - d. Find the common denominator of z and 137\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 154809259 to the power of 1\/2, to the nearest integer?\nAnswer: 12442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence nnnn when four letters picked without replacement from {n: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 6611347 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -8? (a) 5 (b) -162 (c) -4 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) be the first derivative of 15*p**2\/2 - 6*p - 336. Let n(t) = t - 1. Give 6*n(u) - x(u).\nAnswer: -9*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*d - 5*d - 12 = 0. Let f be (4\/(-3))\/((-2)\/d). Suppose -28 - 28 = -f*o. Does 7 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 27 a factor of 89308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*d = 13*d - 5. Let z = -7 + 2. Let a = d - z. Calculate the smallest common multiple of a and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 3 - -1104?\nAnswer: 1112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from srrsscsrcsrrcrrr.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*b - 12*b + 10 = 0. Suppose 0 = y + 3, -43 = -b*h - 6*y + 2*y. What are the prime factors of h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17*r = 10*r + 70. Suppose 5*k = r*k + 5*k. Solve 4*c + 12 = -3*i, i = -4*c - 4 - k for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} {"text":"Question: Let q(n) = 31*n + 23. Give q(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d**(-1\/13)\/(d**(-2\/17)*d))\/(d**(-7)*d*d**(-1)\/d))\/((d**(2\/3))**(-7\/4)\/(d**(3\/5)*d**(-6))) assuming d is positive.\nAnswer: d**(18613\/6630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o + 4 + 20 = 0. Let l = -7 - o. Do -2 and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000428021 rounded to 6 decimal places?\nAnswer: -0.000428","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand 9*i**2 - 14513 - 9*i + 14511 + 39*i**2 + (-i + 3*i + 0*i)*(-4 - i + 4) + 6*i**2 + 0*i**2 - 5*i**2 + 0*i + 0*i - i**2.\nAnswer: 46*i**2 - 9*i - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 854.4558 centimeters in meters?\nAnswer: 8.544558","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -15, -45, -91, -147, -207, -265, -315, -351?\n\"Answer: h**3 - 14*h**2 + 5*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) be the first derivative of 0*h - 14\/3*h**3 + 0*h**6 + 0*h**5 + 0*h**4 + 2*h**7 - 9 + 0*h**2. Find the third derivative of y(c) wrt c.\nAnswer: 1680*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) = -6*y + 1461. Let o(v) = -2*v + 486. What is -3*n(p) + 10*o(p)?\nAnswer: -2*p + 477","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 110 is divided by 100.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c**(1\/24))**(6\/19) assuming c is positive.\nAnswer: c**(1\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 18 and 666.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify i**(-17)\/(i\/i**3)*((i\/(i*i\/i**(-18)))\/i)\/i*i**(9\/2)\/i assuming i is positive.\nAnswer: i**(-65\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth smallest value? (a) -2 (b) 3\/5 (c) -0.8 (d) -7 (e) -21 (f) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -22 = 5*s + d, 2*s + 13 - 7 = d for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert 3.154072 years to months.\nAnswer: 37.848864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t = 17 + -2. Suppose -10 = j + t. Let m be (-4)\/10 - 610\/j. Calculate the highest common factor of m and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = n**3 + 27*n**2 + 26*n + 8. Let q be i(-26). Put 4, -5, q, 10 in decreasing order.\nAnswer: 10, q, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3 + 2 + 2 - 3629*k.\nAnswer: -3629*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 88285932.\nAnswer: 2, 3, 7, 19, 18439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 195*d**6 + 8*d**4 - 2966*d**2 + 2*d?\nAnswer: 23400*d**3 + 192*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 2407966724?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x = 1.8 + 1.2. Which is the smallest value? (a) x (b) 0.3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*c + 2*q + 3*q = -240, -272 = -5*c - 3*q. Let w = -49 + c. Let u be (-2)\/(-11) - 84\/(-22). Solve w*k = 7*k - u for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 115\/28 and (25\/7)\/(-6*(-12)\/21).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 121 divide 126886?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) be the second derivative of -4 - 3\/2*m**2 + 1\/2*m**3 - 4*m + 1\/6*m**4 - 1\/18*m**5 - 1\/378*m**7 - 7\/270*m**6. Factor h(l).\nAnswer: -(l - 1)**2*(l + 3)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 30688 is divided by 130.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-14 - (8 + -12)) + 1 - -3 - -45.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 k and 1 e when two letters picked without replacement from {n: 4, e: 2, r: 12, k: 2}.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o = 1286 + -1280. Let k(c) = 5*c**2 + c + 3. Let s be k(-3). Let p be ((-105)\/s)\/(4\/o). Which is smaller: -5 or p?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -100\/17 - -734\/119. Let l = -4 + 4.3. What is the fourth smallest value in p, -2\/7, l, 0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = y**2 + 2*y - 3. Let l be u(1). Suppose 5*q + 4 - 24 = l. Solve -b = -0 + q for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = 5*y**3 + 2*y**2 - 17*y + 14. Let x be g(1). Solve -9*s + x*s = -10 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -339*n**3 + 656*n**3 - 331*n**3.\nAnswer: -14*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -0.5 (b) 25 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Express -3047*i + 3519*i - 1812*i in the form w*i + o and give w.\nAnswer: -1340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 38 minus 0.117388597037?\nAnswer: 37.882611402963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence elj when three letters picked without replacement from ellajllealllllelele?\nAnswer: 55\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 35971854791 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d = 13 - 4. Solve -21 = d*z - 6 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -316 (base 16) in base 11?\nAnswer: -659","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = 1 + 11 - 2*d + 3*d. Let h be s(-9). Suppose -q - 52 = -2*u, 20 = 3*u + h*q - 67. Does 10 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = k**3 - 6*k**2 + 7*k - 7. Let j be w(5). Suppose 2*r - 6 = p, -7 = -2*r - 1. Sort 1, j, p in descending order.\nAnswer: j, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 30\/(-18)*14\/70?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -101 (base 2) to base 5\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d = 33 - 36. Let l be -5 + (d + 0)\/(-1) - -3. Which is smaller: l or 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 128 and 768.\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k = -135.9 - -136. What is the second smallest value in 4, 1\/20, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 49*c**2 - 34*c**2 + 3*c**3 - 14*c**2 + 55 as r*c**3 + u*c**2 + l*c + k and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n = -2 + 8. Suppose -3*r + n = -12. Suppose 0 = 23*k + 26*k - 191 + 44. Solve k = 3*m + r for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bv when two letters picked without replacement from {v: 1, e: 1, l: 1, k: 1, b: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a = -2*a - 16. Let b(z) = -2*z + 6 + 0*z**3 - 8*z**2 + 12*z + z**3 - 2*z**3. Let w be b(-9). Which is smaller: w or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 = 5*k - 2*r, -k = k + 5*r - 25. Suppose -i + 26 - 9 = k. Suppose 5*u = 6*u - 49. What is the remainder when u is divided by i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 13 - 36 - -12 - -16?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 78*b + 56*b + 239 + 431 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y = 22587 - 22478. What is the remainder when y is divided by 21?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -4\/7? (a) -0.5 (b) -82\/9 (c) 334 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 l, 1 v, and 1 g when three letters picked without replacement from vvgggxgjgl.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (2045528 - 23625*x - 2045528)*(2*x - 2 + 2).\nAnswer: -47250*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = 3*o**2. Let u(w) be the second derivative of 2*w**4 - 2*w + 12. Determine u(a(l)).\nAnswer: 216*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*a - 2*b - 5 = 0, -3*a + 29 = 8*b - 4*b. Suppose 3*z + 3*f - 78 = -2*f, 3*f - 130 = -5*z. Suppose -a*q - 52 = z. Round q to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) be the first derivative of -d**2 + 1\/12*d**4 + 1\/6*d**3 - 22*d + 10. Let p(r) be the first derivative of n(r). What is p(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 403.6 + -405.6. What is the third smallest value in b, -0.4, 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(112) - (0 + (4 + sqrt(112))**2 + sqrt(112)).\nAnswer: -128 - 32*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(3) + 0)*3 + 4 + (4*(sqrt(6)*-2 - sqrt(6)) + sqrt(6))\/sqrt(2).\nAnswer: -8*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -1428*k**2*m - 12*k**2 + 2*k*m + 2*k - 4*m + 270 wrt k.\nAnswer: -2856*m - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n be -4*(-2 - (-3)\/4). Let h be (n\/(-3))\/((-4)\/12). Suppose 0 = h*g + 2*s - 80, -1 - 24 = 5*s. Is 9 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -397 + 397 - (-1 - 132 - (-1 + (6 - 3)))\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -139*l + 0 + 427*l - 38*l + 0.\nAnswer: 250*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r be 10*(-4)\/(-8) + -10. Let o be 15*(-126)\/(5\/r). Round o to the nearest 100.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 6586110 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -2*k - 34 - 13169*k**3 - 8*k**2 + k**5 + 13169*k**3 wrt k.\nAnswer: 20*k**3 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -5 - -8. Let n be (6 + -1)*(-85)\/(-25). Let j = -15 + n. Which is the nearest to j? (a) q (b) 0 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 11, -5, 21 in ascending order.\nAnswer: -5, 11, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d*((d*d*d**(5\/19))\/d*d)\/d)\/d**(1\/35)*(d**(-41))**15 assuming d is positive.\nAnswer: d**(-407489\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = -q. Let j(h) = 253*h**2 + 55*h. Calculate j(a) + 55*l(a).\nAnswer: 253*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r = 41 + -43. Suppose f + 0*h + 16 = 5*h, 5*f - 4*h - 4 = 0. What is the units digit of (1\/r)\/(f\/(-320))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -2147*f*i**4*o**2 + 335*f*i*o**2 + 912384*f + o**2 wrt i.\nAnswer: -8588*f*i**3*o**2 + 335*f*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 4270943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 181332427?\nAnswer: 89, 103, 131, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 r, 1 a, and 2 v when four letters picked without replacement from avvvavarv?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -156, -209, -262?\n\"Answer: -53*f - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 71*k - 258280 = 291*k. Which is bigger: k or -1176?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) be the first derivative of -l**6\/150 + l**5\/50 - l**4\/60 + 3*l - 1. Let v(j) be the first derivative of t(j). Find i such that v(i) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/3? (a) -3 (b) 8 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 7332 and 17340791?\nAnswer: 611","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 23725 and 315068?\nAnswer: 7876700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1711*b**3 + 142*b**3 - 1045*b**3.\nAnswer: -2614*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 14139607 is divided by 2492.\nAnswer: 2491","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = 2*v. Let z(x) = x + 1. Let h be z(3). Suppose h*i - 3 = u + 10, -i + 4*u = -22. Let n(t) = 4*t - i*t - t. Give r(n(m)).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 61 and -14?\nAnswer: -854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 i, 1 t, and 1 x when three letters picked without replacement from {i: 4, t: 6, e: 2, x: 1}?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 792609624 a multiple of 1311?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 2002 + 202110?\nAnswer: 211112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = f**3 + 2*f**2 - f. Let x(g) be the second derivative of -g**5\/20 - g**4\/4 + g**3\/6 + 6*g - 4. Calculate 3*t(s) + 2*x(s).\nAnswer: s**3 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 53 a factor of 173779343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 6280006?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 12\/25 of a litre in millilitres?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 2756646 a multiple of 213?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1 - 3. Let i = -5.2 - -5. Which is the closest to -0.1? (a) 5\/2 (b) j (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 419667 - 47969. Suppose -36*a = -i - 109514. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be -4*(20\/8)\/(-5). Suppose -2*n - 66 = -4*s, 81 = o*s + 2*s + 3*n. What is the remainder when s is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 47\/611 + 3902\/2340 and 31?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00000044 rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -9 + 11 + -8 - (-13 + 3) - 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 3036 or 51604\/17?\nAnswer: 3036","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 371819 - -2?\nAnswer: 37181b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = -y - 3. Let j be 0 + 0 - (-6)\/1. Suppose j*l - 4*l = 40. Suppose 3*s + 4*t = 7*s + 16, 0 = 4*s - 2*t + l. Determine q(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 1b + -cfbd?\nAnswer: -cfa2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -550, -495, -416, -307, -162, 25, 260?\n\"Answer: a**3 + 6*a**2 + 30*a - 587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t = -162 - -302. Suppose v - t = -3*u, 196 = 4*u + v - 2*v. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 467727 - 446664 = 225*y + 132*y for y.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1557175 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 18783.\nAnswer: 3, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) be the second derivative of w**3\/6 + 2*w**2 + 5*w. Let p(h) = h**3 + 3*h**2 + h + 1. Let f be p(-3). What is the remainder when 2 is divided by q(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -55\/10295784 and 75\/8.\nAnswer: 10295784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a = 508 - 506. Solve -9\/2*b**a + 11\/2*b - 1 = 0.\nAnswer: 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 5a0a9335 + -1?\nAnswer: 5a0a9334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express 17*a + 0*a**3 + 5 + 9 + 21*a + 2*a**2 - a**3 - 15 in the form r*a**2 + c*a**3 + w + h*a and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 9446?\nAnswer: 2, 4723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 2732?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*(-2*sqrt(1053) + 3 - (-1 + sqrt(1053) + 1)) + 2)**2.\nAnswer: -432*sqrt(13) + 37924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u = 6925\/18 - 769\/2. What is the nearest to -2 in 2, -29, 2\/3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((h\/h**(2\/37))\/(h*h**(-11\/5)))\/(h\/(h*h**(2\/33))*h*h*h*(h*h**19*h)\/h))**30 assuming h is positive.\nAnswer: h**(-253888\/407)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 3995398 to the nearest integer?\nAnswer: 1999","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Add 27.38438 and -78.\nAnswer: -50.61562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = 2*r**2. Let d(u) = 96768755*u. Calculate i(d(p)).\nAnswer: 18728383888500050*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1.96 + -2.4. Let c = q - -0.491. What is c rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*(5*(-2*(sqrt(1331) + 1) - (-5 + sqrt(1331) + sqrt(1331) + -2)) + -1))**2.\nAnswer: -10560*sqrt(11) + 532976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = -s**3 + s**2 + s - 1. Let g be n(0). Find the common denominator of g + 27\/6 + -2 and -53\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 6, p: 1, w: 7, i: 3}. What is prob of sequence wi?\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 553.192 millilitres?\nAnswer: 0.553192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 12726, 25454, 38182?\n\"Answer: 12728*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from czzktwtzqqwktzzztzzz. What is prob of sequence ztz?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -0.06 plus 677539678?\nAnswer: 677539677.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 12325 divided by 2465?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -0.5 - 239?\nAnswer: -239.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v**2*v)**(-1\/14))**(-4\/5) assuming v is positive.\nAnswer: v**(6\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 12 and 1110.52?\nAnswer: 13326.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-12)\/5 - 32\/(-16). Which is the nearest to p? (a) 111 (b) -2\/9 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u\/(u\/(u*u**3*u)))\/u)**46\/(u**(-12)*u*u*u*u**9) assuming u is positive.\nAnswer: u**184","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x = -3, 3*k + 9*x - 105 = 6*x. Solve -2*u = -4*u - 3*s - 1, -5*u + 4*s = -k for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.3*630475\nAnswer: 189142.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f be 81\/(4 - 20\/8) - -3. What is the highest common factor of f and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -51, -121, -219, -357, -547, -801, -1131?\nAnswer: -1549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 109, 98, 87?\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is (-40)\/(-80)*(-1 + 30987) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 22001764 + -22001731.792174. Let f = k - 32.60782558. Let w = f - -0.4. Round w to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 35\/44 and -13\/292.\nAnswer: 3212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = u**2 + 30*u + 65. What is the remainder when a(-30) is divided by 24?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 26.41687 to the nearest integer.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = -2*u**2 - 17*u + 14. Let h be t(-7). Suppose 0 = 2*w + 4*a - 66, h = 2*w - 5*a - 31. What are the prime factors of w?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 21\/88 and -65\/24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 10\/8*((-462)\/110 + 6)?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 402115569?\nAnswer: 3, 17, 829, 9511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 2, y: 1, o: 6, h: 1, k: 2}. What is prob of picking 1 y and 1 f?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y be 1\/16 + 359\/400. Does y = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:35 AM and 10:16 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Does 1 = 405\/47246?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-5)\/((-85)\/6)*5*50\/750.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(3)*2*-4 - (-2 + sqrt(12)))**2.\nAnswer: -40*sqrt(3) + 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) 1\/5 (b) 4 (c) 0.1 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 121008 divided by -3.\nAnswer: -40336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m = 36 + -52. What are the prime factors of -2 - (1 + (m - -2))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 161002021 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = -x**2 - 5*x + 1. Let z be l(-3). Let f be 2\/7 + 12\/z. Factor 1\/2*j**f - 1\/2 + 1\/2*j - 1\/2*j**3.\nAnswer: -(j - 1)**2*(j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = -3*r - 1. Let h be j(-5). Let o = -10 + h. Suppose -5*x + 2*f + 29 = 0, 13*x - 18*x + 19 = 3*f. Solve -3*m + x = -b, 3*b + 5*m + 11 = -o for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 869 = -h - y + 853, -3*y = 8*h + 63 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -13 + (-33 + 15 + 2 - (12 - 37))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:13 AM and 3:42 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o = -737\/14 - -85\/7. Calculate the common denominator of -81\/466 and o.\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-24)\/(-22) - (6 - 5). Which is the closest to 0? (a) -0.1 (b) s (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -9 + 7. Let m be 3\/6 + (1 - 2). Is m > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -173*x - h = -177*x + 14813, 5*x - 18490 = -4*h. List the prime factors of x.\nAnswer: 2, 3, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 73, 508, 1665, 3904, 7585?\n\"Answer: 60*i**3 + i**2 + 12*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 328 minutes before 3:22 AM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 972779 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w be (2 - (1 + -1))\/(36\/1512). Let j = -81 + w. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-20244)\/5376*4 - -3*5.\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {w: 2, g: 6}. What is prob of sequence wgw?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 527, 1060, 1621, 2210, 2827, 3472?\n\"Answer: 14*o**2 + 491*o + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = 4 - 1. Suppose 5*a + 0*o = -o, 3*o = 5*a. Suppose a*s + w*s = -2*b, 0 = -2*b - s. Put b, 1, 4 in increasing order.\nAnswer: b, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in 1\/5 of a minute?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2*g - 2*q - 14, 3*q - 31 = -g - 52 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -23113 - 4433?\nAnswer: -33101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 352295 or -2?\nAnswer: 352295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify d\/(d\/((d\/d**(-9\/7))\/d))*(d**33\/d)\/d assuming d is positive.\nAnswer: d**(226\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 279*h + 359*h - 178*h - 14720 for h.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = -25*x - 106. Let d(j) = 73*j + 319. Let t(b) = 11*a(b) + 4*d(b). List the prime factors of t(9).\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 531489466 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m = -884 - -883.991679. What is m rounded to four decimal places?\nAnswer: -0.0083","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 123 a factor of 72374852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.0862*-0.9764.\nAnswer: -0.08416568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = -v - 11. Let a be p(-11). Let t(f) = -f - f + a*f. Let w(m) = 5*m**2. Determine t(w(n)).\nAnswer: -10*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = x**3 + 4*x**2 - 5*x. Let a be s(-5). Suppose 4*y - 176 - 80 = a. Is y a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1993096248?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 28909.\nAnswer: 28909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = 3*s**2. Let a(p) = 143*p. What is l(a(v))?\nAnswer: 61347*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 26698110 rounded to the nearest one hundred thousand?\nAnswer: 26700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -194*u = -41*u - 431154. Calculate the remainder when u is divided by 94.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/11, -7\/15, -3.\nAnswer: -3, -7\/15, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -55048 divided by -3932\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = 16*p**3 + p**2 - 2*p + 1. Calculate q(1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 138500 and 5500?\nAnswer: 1523500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -60 - 40 - 8*y + 116 + y**2 = 0. Calculate y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -h**4*s - h**3 - 9*h**2*s + 2*h*s + 7*h + 2*s wrt h.\nAnswer: -12*h**2*s - 6*h - 18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 5129398080 to the nearest integer?\nAnswer: 1725","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = 8*z**3 - 3*z**2 - 90*z + 92. What is s(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 487 - 2?\nAnswer: 485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 196993, 196941, 196855, 196735, 196581, 196393, 196171?\n\"Answer: -17*y**2 - y + 197011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = 9502*w**3 + 4*w**2 + 4*w + 24. Let s(i) = -101576380*i**3 - 42759*i**2 - 42759*i - 256554. Give -4*s(p) - 42759*z(p).\nAnswer: 9502*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -1276*n**2 - 1120*n**2 + 1 - 307*n + 307*n - 342 with respect to n.\nAnswer: -4792*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 27a372 (base 14) to base 6.\nAnswer: 45231012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6323 is divided by 141.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = 3*g - 9. What is the tens digit of d(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 93, -2\/9, 5, 3\/7, -449, -4 in descending order.\nAnswer: 93, 5, 3\/7, -2\/9, -4, -449","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in w - 18*w - 10*w + 1.\nAnswer: -27*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1\/6 or -32\/9?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 0 (b) -0.9 (c) -3 (d) -23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**(-4)*t**(-2\/17)*t)\/(t\/(t\/(t**(1\/4)*t)))**(-1\/3)*t**1\/t*t**2*(t\/(((t**(-3\/10)\/t)\/t)\/t))\/(t*t**(-4\/3)\/t) assuming t is positive.\nAnswer: t**(1677\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 6244 - 6892 = -27*k for k.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 62*d - 119*d = -260661. Calculate the highest common factor of d and 1076.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 23*a + 23 - 65 + 18 + 24 - 43*a**3 wrt a?\nAnswer: -258*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ec when two letters picked without replacement from aeaacacaeecacccace?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) be the first derivative of 7*b**6\/24 + 5*b**3 - 39*b**2\/2 + 37. Let a(j) be the second derivative of w(j). Differentiate a(i) wrt i.\nAnswer: 105*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*k - 65 = -2*c - 5*k, -115 = -3*c - 4*k. Suppose 78 = 42*z - c*z. Let w be (z\/(-4) - 3)*-12. Is w at most -42?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be -1 + 0 + 54\/(-3). Let c = 23 + d. Suppose 0 = -4*x - 2*j + 348, 251 = 3*x - 0*j + c*j. Is 29 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: ((252\/7)\/(-6)*(-496)\/(-186))\/(-1*6)\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 5729916947 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k be (1 - 1)\/(-6 + 7). Suppose k = a + 12 - 20. What is the least common multiple of 7 and a?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 347 = -4*i + 407. Factor -k**4 - i*k**3 - 8*k**2 + 10*k**4 - 5*k**4 + 4*k**4 + 16*k - k**5.\nAnswer: -k*(k - 4)**2*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 2\/6*183\/6 and 67\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is ab2 + -4?\nAnswer: aaa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 0.038 times -385\nAnswer: -14.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1882892, -1882947, -1883002?\nAnswer: -1883057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1093 + -599. What is the greatest common divisor of 130 and q?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 3548 and 4802?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2336 is divided by 1164.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from zmkdzomofmmzozmkzoff. Give prob of picking 1 o and 1 m.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -303 = -4*j + 233. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2661, 10899, 24637, 43881, 68637, 98911?\nAnswer: 134709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j = 21 - 12. Let n(g) = g**3 + 5*g**2 - g - 4. Let l be n(-5). Let k be 3 - l\/1 - -2. Solve r = j - k for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = t. Let q(a) be the second derivative of a**5\/6 + 31*a**3\/6 + 12*a. Let g(k) be the second derivative of q(k). Give g(s(m)).\nAnswer: 20*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 126 less than 4984078?\nAnswer: 4983952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*y + 8*y**3 + 20 + 2*y - 29*y**3.\nAnswer: -21*y**3 + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {o: 2, i: 2, n: 2, h: 2}. Give prob of sequence hhoo.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2\/6*-169*204\/103428.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 1180 and 38442925.\nAnswer: 153771700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 879684.\nAnswer: 2, 3, 13, 5639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r\/(r\/(r\/(r**(2\/71)\/r))*r*r))\/(r**(-5\/6)*r) assuming r is positive.\nAnswer: r**(-83\/426)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Put together -6.14 and 2.\nAnswer: -4.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*z**4 - 7*z**4 + 2*z**4 + (4*z - 7*z - 5*z)*(-2*z**3 - z**3 - 2*z**3).\nAnswer: 39*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -48 - (12 + -84 - -33)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = -f**2 + 41*f + 15449. Calculate m(147).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -c4 + 1553?\nAnswer: 146d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 3? (a) 2 (b) -0.3 (c) -3 (d) -14706\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t**(-1)*t)\/t)**(-2\/65)\/(t\/((t**(-1)*t*t)\/t))**11*(t*t**(2\/5))**(8\/15)\/(t**(-1\/4))**(-31) assuming t is positive.\nAnswer: t**(-70093\/3900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 238 a factor of 26248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 14820556 is divided by 1482048.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m = 1 + 1. Suppose -m*k = -7*i + 2*i + 5, 0 = -3*k + 15. Solve -4*g + i*n + 12 = 0, -2*n + 0*n = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 10\/4*(-4 + 6). What is the units digit of 10\/8 - t\/20?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 12638845 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h = -105 - -109. Let x be (-4)\/10 - (-324)\/10. Let r = x + -21. Solve 5*u - h = r for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -840159092 divided by -2\nAnswer: 420079546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-2 - (-1 + -1)) + -15. List the prime factors of 4\/10 + (-144)\/z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 75986 - 48148. List the prime factors of f.\nAnswer: 2, 31, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 75*v - 80*v + 2790. What is the hundreds digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 15 - 3. Let s = m + -8. Let r(y) = y**3 - 4*y**2 - y + 5. Give r(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 169, 148, 109, 46, -47, -176, -347, -566?\n\"Answer: -x**3 - 3*x**2 - 5*x + 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n**(-1\/7)\/(n*n\/n**(1\/17)*n))\/(n**6*n**(4\/7)*n))**15 assuming n is positive.\nAnswer: n**(-19020\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 574 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 1550c3 - -9?\nAnswer: 1550cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 392, 1041, 1938, 3215, 5004, 7437, 10646?\n\"Answer: 22*m**3 - 8*m**2 + 519*m - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x = -261 - -262. Let d(h) = 13*h**2 + 3*h - 1. Let c be d(x). Solve -3*f - o = -f + 9, -3*o - c = 2*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 o and 3 w when four letters picked without replacement from wowwooowooow.\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 3\/7 (b) 5 (c) 3 (d) 790 (e) -2\/7 (f) 3\/11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -136*l**2 - 9412*l + 9412*l.\nAnswer: -136*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Round -137.07 to the nearest ten.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence agg when three letters picked without replacement from {a: 4, g: 2, o: 1, m: 4}.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i = -4\/109 - 1159\/1090. Let x be 3\/((-27)\/(-5))*14962. Let y = 8304 - x. Find the common denominator of i and y.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) = -u**3 + 3*u**2 - 3*u - 3. Let c = -6 + 9. Let h = c + 0. Let r(o) = -4*o + 2*o**2 - 2*o + 4*o - 2. Determine h*r(v) - 2*f(v).\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence dnd when three letters picked without replacement from {n: 5, d: 14}.\nAnswer: 455\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7007?\nAnswer: 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 0.3807*5450\nAnswer: 2074.815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 8438 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = 12*i**2 + 45*i + 17. Let x be f(-4). Calculate the greatest common factor of 58 and x.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} {"text":"Question: Let k(u) = u**3 - u**2 - u + 6. Let c(y) = 2*y**2 + 4*y + 2. Let j be c(-5). Suppose 4*b + 30 = 2*s, 4*s - j = b + 7. Let i = -9 + s. Calculate k(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.25, 12729989, 4 in descending order.\nAnswer: 12729989, 4, -0.25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4 + sqrt(300))*3 - (1*(5 + sqrt(300))**2 - sqrt(300)).\nAnswer: -313 - 60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/17, -4, 2, 1\/5, 0.4 in ascending order.\nAnswer: -4, 2\/17, 1\/5, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -1\/4, -1, -1\/5, -28\/3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 38, 142, 336, 644, 1090, 1698, 2492, 3496?\n\"Answer: 4*y**3 + 21*y**2 + 13*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 39461003514 - -0.2?\nAnswer: 39461003514.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 228420 and 1620?\nAnswer: 228420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 677.\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*(sqrt(190)\/(sqrt(40)\/sqrt(4)) + -5 + sqrt(19) + 2*sqrt(19)).\nAnswer: -20 + 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put 3462, -1, 29, 1, 220 in increasing order.\nAnswer: -1, 1, 29, 220, 3462","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b = -25 + 33. Suppose 1 + b = 3*f. Solve 0 = -2*y - 5 - f for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in t**3 + 14*t**2 - 6*t**2 - 8*t**2.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -107, -181, -305, -479, -703?\n\"Answer: -25*g**2 + g - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -3126, -3135, -3156, -3195, -3258, -3351, -3480?\n\"Answer: -q**3 - 2*q - 3123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = -7673*h**3 + 4*h**2 - 23*h - 535. Let v(y) = y**2 - 3*y + 1. Let a(f) = -s(f) + 4*v(f). Find the second derivative of a(x) wrt x.\nAnswer: 46038*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -14356, -14362, -14380, -14416, -14476?\nAnswer: -14566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(567) + -5 - (-3 + 3*sqrt(847)))**2 + -2.\nAnswer: 96*sqrt(7) + 4034","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -38*(-6)\/(-4)*61656\/(-924840)?\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = 67*t - 344. Let x(j) = j**2 + 4*j + 7. Calculate the lowest common multiple of k(6) and x(-3).\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose v = -1, 5*t + 2*v + 15 = 93. Suppose -3*d - 20 = -4*n, 0 = 6*d - 2*d + t. Find the third derivative of -9*k**n - k**4 - k**4 - 2*k**4 + 20*k**2 wrt k.\nAnswer: -96*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 1\/10 (b) -3 (c) -23\/549 (d) -0.2 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = -d**2 + 18*d + 46. Let m be z(18). What is the tens digit of (-144)\/(-32)*m\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: (5\/15)\/(2\/9 + 26\/(-36))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = w - 4 + 8. Let r = w + 18. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/11 in 18\/7, 4, 5, -0.1787?\nAnswer: -0.1787","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -111001010 (base 2) in base 11?\nAnswer: -387","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) be the third derivative of -b**5\/60 + b**4\/24 + b**3\/6 - 9*b**2. Let k(v) = -10*v**2 + 13*v + 5. Let t(g) = -2*k(g) + 18*z(g). Factor t(p).\nAnswer: 2*(p - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 16445542 (base 7) to base 6\nAnswer: 54245351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -a - 18?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g = -12 + 17. Suppose g*m = 5 + 15. Solve -z = -m*z + 6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 403016?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 2\/17, 1\/4, -8250, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = 26*n - 9. Let g be f(9). Suppose -x - g = -4*x. What is the highest common divisor of x and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -183 = -3*t + 447. Let v be (0 + t)*18\/(-36). Let y = 52 + v. Round y to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*i + 12 = -2*p, 4*i + 4*p = -143 + 62 + 61 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = 7*h**2 - 7*h - 6. Suppose 3*s = -1 - 5. Is 9 a factor of r(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = -2*m**2. Suppose 3*d - 17 = 2*d - 3*j, -j = -2*d - 1. Let o(l) = -l + 5*l + 3*l**d - 4*l. Give b(o(s)).\nAnswer: -18*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in y + 69*y + 48*y.\nAnswer: 118*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put -2\/5, -110.06, 1\/17 in ascending order.\nAnswer: -110.06, -2\/5, 1\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 30 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -46 = -l + 5*d - 42, -9 = 4*l + 5*d. Sort 3, 215, l in descending order.\nAnswer: 215, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 0 + (1 - (6 + -6 + -1))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 0.6 or 3\/10?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 5 - (-4 - (-9 + 5))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide 45 by 14520.\nAnswer: 3\/968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = 7*a + 138. Let x(c) = 3*c + 137. Let g(p) = -3*v(p) + 4*x(p). What is g(13)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) be the third derivative of -11*c**4\/8 + 21*c**3\/2 + 3*c**2 + 2*c. Differentiate k(w) with respect to w.\nAnswer: -33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -5490, -5535, -5642, -5841, -6162, -6635?\n\"Answer: -5*w**3 - w**2 - 7*w - 5477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 301986 a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = -16*j - 114. Suppose -14*z + 51 + 149 = -39*z. Give q(z).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 0.0611 - -277.9389. Let t = b - 274. What is the second smallest value in 3, t, 3\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 221*z - 2*p + 19 = 226*z, -z - 5*p = 10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {m: 2, t: 5}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = x - 2. Give g(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 53230246.\nAnswer: 2, 3221, 8263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = -18*y**2. Let p(l) = 4609*l**2 - 9159*l**2 + 4428*l**2. Calculate g(p(d)).\nAnswer: -267912*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 634 minutes before 5:57 PM?\nAnswer: 7:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a = 193 + -198. Let o be a\/(-7)*7\/(-105)*-12. Suppose -o*q**2 - 1\/7*q**5 - 1\/7*q + 2\/7 + 2\/7*q**3 + 2\/7*q**4 = 0. Calculate q.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) be the third derivative of -5*k**4\/12 - k**3\/6 - 14*k**2. Let n be x(1). Find the common denominator of 4 + (-1)\/7*n and 18.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 9 = 449\/45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = r**3 - 7*r**2 + 6*r. Let v be f(6). Suppose c - 3*c + 4 = v. What is the units digit of -10*(-1 - 0\/c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 4.228914 nanometers?\nAnswer: 0.004228914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.25? (a) -4 (b) -1\/4 (c) 3\/4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -0.07 times 0.5?\nAnswer: -0.035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Divide -22152 by -13.\nAnswer: 1704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 1245763 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 59314, 59334, 59338, 59332, 59322, 59314?\n\"Answer: j**3 - 14*j**2 + 55*j + 59272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Work out 3.05 + 4.\nAnswer: 7.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is next in -58742, -117487, -176232, -234977, -293722, -352467?\nAnswer: -411212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from yyyyfyywyyyfyfyy. What is prob of picking 2 f and 1 y?\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let s be 1 + 4 + -2 + 0. Suppose -2 = -s*h + 2*h. Find the second derivative of -h*z**4 + z + z**4 + 0*z wrt z.\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 203283?\nAnswer: 3, 7529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:40 PM and 7:15 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 = -3*o + 3*i, 6*o = 3*o - 9*i - 21. Let t(h) be the first derivative of 7\/3*h**3 + h + 3\/2*h**o + 1\/4*h**4 + 24. Determine t(-7).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h - 9*f + 12*f = 28, f + 31 = 3*h. What is the derivative of -49*c**2 + 0*c + h*c**2 + 205*c**2 + 0*c + 66 wrt c?\nAnswer: 334*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 35 + 2089*k - 52 + 17 to i*k + x and give i.\nAnswer: 2089","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m**0)**(15\/7)\/(m**(-1\/2))**(-10))\/((m\/(m*m**(-2\/3)))**16)**(-41) assuming m is positive.\nAnswer: m**(1297\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n = 16 + -12. Suppose -n*u + 8 = 0, u = 3*p - 2*p. What is the second derivative of -402*f**2 + 22*f - f**4 + 402*f**p wrt f?\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -33, -35, 3, 5 in descending order.\nAnswer: 5, 3, -4, -33, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 175\/105*(-48)\/45*-9.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 89\/32952 and 9\/14.\nAnswer: 230664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = -23*w**3 + 2*w**2 + w. List the prime factors of m(-1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2001)\/46*(24\/(-108))\/(3\/(-9)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand 25*r**4 + 271*r**4 - 98*r**4 + (-4*r**2 + r**2 + r**2)*(-r + 2*r**2 + r) - 2*r**2 + 2*r**4 + 2*r**2.\nAnswer: 196*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 0 minus -1696?\nAnswer: 1696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j = -104 + 111. Solve -4*u - 2*b = 14, b = 4*u - 2 + j for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.4741832 rounded to 3 dps?\nAnswer: 0.474","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 24574.\nAnswer: 2, 11, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -1646925, -3293852, -4940779, -6587706?\n\"Answer: -1646927*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 + 4 = -g, -3*a + 43 = 4*g. Calculate the least common multiple of a and 15.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence kk when two letters picked without replacement from {k: 3, m: 3, y: 1, u: 2, o: 2, n: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6729603?\nAnswer: 3, 17, 127, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Convert -2bcc (base 13) to base 12.\nAnswer: -3871","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x be 1 - (2\/2 - 2). Suppose -2*r = x*r + 4. Let t(w) be the second derivative of w**5\/5 + w**3\/6 + w**2\/2 + 454*w. Determine t(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -1210 (base 4) to base 11.\nAnswer: -91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m = 49.909 - -0.091. Let b = 50.000115 - m. What is b rounded to 5 dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = -b**2 - 2*b. Let q(v) = 90*v**2 - 119*v. Let f(n) = q(n) + 5*t(n). Find the second derivative of f(s) wrt s.\nAnswer: 170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-3)\/(-12)*(2000\/(-12))\/1. Let u = 166\/3 + k. Which is bigger: u or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4978 a factor of 6523091552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*f + 3 = -3*g - 11*f, 5*f - 1 = 4*g. Let m be 15\/(-2)*(-2)\/3. Let v = 10 - 6. Put g, m, v in decreasing order.\nAnswer: m, v, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 42580 and 21290?\nAnswer: 42580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 11949 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Round -923740 to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*n + 20 = -5*n. Let q(j) = j**3 + 8*j**2 + 2*j + 17. Let y be q(-8). Solve 0 = w - y + n for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 709585 by 1.\nAnswer: 709585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Divide 5512 by 50.\nAnswer: 2756\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*j + 18 = 2*s, 0 = 5*s + 5*j - 15 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from rrrurru. What is prob of picking 3 r?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 c and 1 w when three letters picked without replacement from llclclwclwccll?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -225140 rounded to the nearest one thousand?\nAnswer: -225000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: ((-8)\/20)\/(18\/(-15) + 1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 149 + -144. Solve f*w + 0 = -10 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*i + 5*b = 5*i + 1060, i + 2*b - 209 = 0. Suppose -223*v = -i*v - 24. Solve -v*u - 6*y + 5*y = -10, -3*y = 6 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 33 - 32.92. Let n = i + 1.92. What is the smallest value in -1, -4, n?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4\/18 + (-374)\/(-18) + -15.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -4692356, -4692357, -4692358, -4692359, -4692360?\n\"Answer: -x - 4692355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 8\/48901, -3, 0 in decreasing order.\nAnswer: 8\/48901, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate 20 + (-3382)\/89 - -95.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 7, m: 2, o: 1}. Give prob of sequence uu.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from aaaaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = 4*k + 4*t - 8, -3*t = 15. Suppose -k + 3 = j. Let f(o) = -o**3 - 4 - 3*o + 2 - 7*o**2 + o**2 + 0*o. Calculate f(j).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 34199951?\nAnswer: 37, 924323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/15 in 68, -0.03, -1, 0.057?\nAnswer: 0.057","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:04 AM and 7:50 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s\/(s*(s\/(s*s**(-2\/13)*s*s))\/s))\/s*s*s**(4\/13)*s*((s*s**10)\/s)\/s**(-11) assuming s is positive.\nAnswer: s**(327\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 6*c**3*f**2*k - c**3*f*k + 6*c**3*f - 10*c**3*k + 11*c**2*f**2*k wrt f.\nAnswer: 12*c**3*k + 22*c**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d**2 + 37130*d - 68931845 = 0. What is d?\nAnswer: 3713","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = w**3 - 2*w**2 + 1. Suppose -4*u = -0*m + 5*m - 37, -3*m = -3*u - 6. List the prime factors of g(u).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum -44.7 and -12.189034.\nAnswer: -56.889034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u + 11*w - 15*w = 0, -2*u - 2*w + 14 = 0. Solve 0 = -z + 5*z + u for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 4\/3 or -23035509?\nAnswer: -23035509","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f = 203 + -202.11. Let x = 0.09 - f. Let y = x + -0.2. Put 5, 1, y in increasing order.\nAnswer: y, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 52904708 to the power of 1\/3, to the nearest integer?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p\/p**(-2\/19)*p*p*p**(-4))**(-3) assuming p is positive.\nAnswer: p**(51\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -78 or -79?\nAnswer: -78","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 0.433 plus -443.3868447?\nAnswer: -442.9538447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in thirty-one fifths of a millennium?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = 434 + -301. List the prime factors of s.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 1\/(-4) + 44\/48. Which is the closest to z? (a) -1\/7 (b) 1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 5473047?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x - 37 + 15 = 0. Let a(g) = -7*g - 70. Let u be a(-10). Suppose -t + 2 + 16 = -5*r, u = 3*t - 5*r - 24. Solve 2 = -t*o + x for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 45.39 - 44. Let h = 1 + -2.5. Let v = h + k. Round v to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3347586 a multiple of 106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 q and 2 f when three letters picked without replacement from {q: 7, f: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = -48*v**2 - 3489*v + 44216. What is i(11)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.03, 0, 3\/4, -39 in descending order.\nAnswer: 3\/4, 0, -0.03, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = 2*w**2 - w + 43*w**3 + 26*w**3 - 15*w**3. What are the prime factors of v(1)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 23468807.\nAnswer: 197, 119131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -467740 rounded to the nearest ten thousand?\nAnswer: -470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = -1812*m**3 - 4*m**2 + 5. Is k(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2321 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) be the first derivative of b**2\/2 + 8*b + 1. Let w be u(-6). Factor 10*o - 3*o - 4*o - 3*o**w.\nAnswer: -3*o*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) be the third derivative of -j**7\/105 + 35*j**6\/24 + 13*j**5\/3 + 173*j**2. Find the third derivative of m(l) wrt l.\nAnswer: -48*l + 1050","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(7) - 1*(sqrt(7) + 1)**2) + (sqrt(7) - -3*sqrt(175)).\nAnswer: -8 + 15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 11.01 (b) 0.1 (c) -1\/9 (d) 5 (e) 0.3 (f) -12\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 6348655 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand -4*v**4 + 2*v**2 - 3*v**4 + 6*v**4 + (-v**3 + 0 + 0)*(-6*v + 5*v - 3*v) + (v + v**3 - v)*(-v + 2 - 2) - v**4 + 0*v**4 + 4*v**4.\nAnswer: 5*v**4 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) be the first derivative of 32*l**3\/3 - 2*l**2 - 9*l - 18. Is a(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = -y + 6. Let x(b) = 2*b**2 + 4*b - 6. Let f = 13 - 17. Let l be x(f). Suppose -t - l = -3*t. Determine c(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*x**2 + 3495*x - 78342 = 0. What is x?\nAnswer: -1187, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k*k*k*k**(-6)\/k*k)\/k**(-2)*k*k*k*k**(-2)*k*k*k**(-20))**(-14\/11) assuming k is positive.\nAnswer: k**(252\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*a + 5*a - 19 = 0. Let o = 88 - 88. Suppose 9*h + 2 - 47 = o. Solve -2*y - 16 = -6*y - f, -h*y = f - a for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 16*c - 911 - 39 = -8*c - c for c.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 21890*m**3 + 19 + 39*m - 23119*m**3 - 15 wrt m?\nAnswer: -7374*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (i - 2 + 2)*(4 - 3 + 0)*(-112381 + 20618*i**2 + 112381).\nAnswer: 20618*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u = 3 - -2. Suppose -u*m = -3*m - 20. Calculate the smallest common multiple of m and ((9 - 5) + (2 - -4))*2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 32 - 4 - 263*q - 22 to g*q + y and give g.\nAnswer: -263","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = 32*b. Let o(y) be the third derivative of -y**5\/30 + 14*y**2. Determine o(j(f)).\nAnswer: -2048*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 3, -3 in descending order.\nAnswer: 3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = -2*b**3 - 7*b**2 - 5677*b - 22725. Give s(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 114, 2, -47216 in ascending order.\nAnswer: -47216, 2, 5, 114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is u in 35*u**5 - 185*u**4 + 225*u**3 + 125*u**2 - 260*u + 60 = 0?\nAnswer: -1, 2\/7, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -201*w - w**2 + 97*w + 104*w.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 2, q: 1, g: 2}. What is prob of picking 1 g and 1 w?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 304235 is divided by 50591?\nAnswer: 689","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1268, -1290, -1328, -1382, -1452, -1538, -1640?\nAnswer: -1758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 548 and 268.\nAnswer: 36716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -14 + 455?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -162*x**2 + 296*x**2 - 141*x**2.\nAnswer: -7*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 5041397, 20165529, 45372409, 80662043, 126034437, 181489597, 247027529?\n\"Answer: k**3 + 5041368*k**2 + 21*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from cccccccfccccfccccc. What is prob of picking 2 f?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*c = 5*x - 32, 2*x - 6*c + 237*c = -69*c + 4196 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f be (3 + -1 - -2) + -2. Let v be f*1\/25*10. Factor 14\/5*i**2 - 18\/5*i + v.\nAnswer: 2*(i - 1)*(7*i - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = -z**2 - 13*z - 11. Let o be r(-12). Let d(y) = 21*y**2 + y - 1. Let n be d(o). Suppose -6*i + n*i = 12*i. Solve i*p = 4*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -262 (base 9) to base 15\nAnswer: -e8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) -1\/8 (b) 6 (c) -0.2 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*5*sqrt(2600)*-1)\/((sqrt(288) - (sqrt(288) - -1*sqrt(288)))*3*-3).\nAnswer: 25*sqrt(13)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = -r**2 - 34*r + 180. Let i be x(-33). Let c = 283 - i. Is c a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 32.60221 centimeters?\nAnswer: 326022.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 21233 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round -0.6973854 to four dps.\nAnswer: -0.6974","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -2343 - -171?\nAnswer: -2162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) be the first derivative of -a**4\/2 + a**3\/6 - 7*a**2 - 25. Let l(f) be the second derivative of g(f). What is l(1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t + y + 35799 = 0, 5*t - 3928 - 175061 = 2*y. What are the prime factors of t?\nAnswer: 35797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = 37*s - 886. Let j be t(24). Solve 0 = -2*m - 4*b - 0 - 10, -j*b - 11 = 3*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -19*l*o**3 + l*o**2 + 28*l*o - 2*l - 72*o**4 - 3*o + 2 wrt o?\nAnswer: -114*l*o + 2*l - 864*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = 6*s**3 + s**2 - s - 1. Let m(v) = -25*v**3 - v**2 + 9*v - 3. Let y(g) = -m(g) - 4*o(g). What is y(5)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 193*h = 5*o + 197*h - 170, 2*h - 142 = -4*o. What is the remainder when 70 is divided by o?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: (5889\/3926)\/(3*3\/(-102))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence syso when four letters picked without replacement from yxwoosxkkksx.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:57 AM and 10:47 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 317 and 117569911.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = 155*s**2 - 38*s + 1. List the prime factors of v(6).\nAnswer: 53, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 6 + (-4)\/((-10)\/(-5)). Let d = 6 - o. Suppose -5*q - c = d*c + 15, 3*c = -2*q - 15. Solve -5*j - 15 = -q*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -3 - -2. Let x = 4.6 + -5. Let m = 0.7 - -0.3. What is the closest to o in -0.3, x, m?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 4217312751?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k be (18\/15)\/((-4)\/(-50)). Let f(p) = p**2 - 2. Let w be f(3). Suppose -w*s = -2*s - k. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -652\/3707 + -2\/337. Let u = 5.08 + -0.08. Which is the nearest to -2\/9? (a) u (b) n (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 14072681?\nAnswer: 7, 113, 17791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = 11*g - 12*g + 2*g + 2*g + 8*g + 5. Let p(v) = -28*v - 12. Determine -12*b(s) - 5*p(s).\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 3 and -11566?\nAnswer: 11569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Does 81 divide 144018?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((sqrt(1377) - (2 + 0 + sqrt(1377))) + sqrt(1377))*-2 - (sqrt(1377)*-2 + sqrt(1377) - (sqrt(17) - -1*sqrt(272))))*-2)**2.\nAnswer: -128*sqrt(17) + 1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor -11577672*k**2\/11 + 18872664*k\/11 - 7691042\/11.\nAnswer: -2*(2406*k - 1961)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**15\/n**(4\/7))\/(n**(-4))**(-16\/11) assuming n is positive.\nAnswer: n**(663\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b = 1 + 2. Let g(z) = 15*z**2 - 7*z - 10 - z**2 - 3*z**2 - z**b. Is g(10) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-28768)\/(-4495))\/(8\/(-50))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 224877315 to the nearest integer?\nAnswer: 608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 161\/4 or 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put -2, 6, 2, 112 in increasing order.\nAnswer: -2, 2, 6, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-3)\/6)\/((-5)\/20). Solve m*c = 6*i - 2*i, 0 = c for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 50778 at most 48156?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/9? (a) 38 (b) -1 (c) 719 (d) 46 (e) 2\/3 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is -204 equal to 349187?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 563287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z be 55\/(-11)*((-4)\/5 - (-18)\/45). Put z, 7, -3, 4, 1 in descending order.\nAnswer: 7, 4, z, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 319*t - 6 = 321*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 114648877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 33 - 50?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 11*k - 948 - 1263. Let x = -112 + k. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) be the third derivative of u**4\/12 - 8*u**2. Let r(s) = s**2. Give r(i(n)).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 68*s - 63*s - 240. Is 12 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-2*6\/(-4))\/((-45)\/(-75)). Let b be ((-18)\/c)\/(36\/(-40) + 3). Is 1 at most b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*s = -11*z - 93, -4*z + 3582 = 3610 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 7? (a) -20 (b) 0.4 (c) -8\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 19863?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = -3854*z**3 + 6*z**2 + 7*z. Does 54 divide o(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00364587 rounded to five decimal places?\nAnswer: -0.00365","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = d**2 + 100*d + 1086. Calculate g(-89).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 l, 1 y, and 1 n when three letters picked without replacement from lncyqcw?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -37, -45, -75, -139, -249?\n\"Answer: -2*b**3 + b**2 + 3*b - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(245)*2*2 - (-5 + sqrt(35)\/(sqrt(28)\/sqrt(4))))*3 + 4)**2.\nAnswer: 3078*sqrt(5) + 33166","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round 134962100 to the nearest one hundred thousand.\nAnswer: 135000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i = -6165 + 6165.7. What is the fifth biggest value in -5, 0, 44, -1\/6, i?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -365*p**3 + 1838165*p**2 - 2314344160*p + 158508100.\nAnswer: -5*(p - 2518)**2*(73*p - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*(1 + (0 + sqrt(2))*-6 + ((sqrt(12)\/sqrt(6))**2 - sqrt(2))*5 + (5 + sqrt(8)\/sqrt(4) + 3 + -3)**2).\nAnswer: -6*sqrt(2) + 228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 393.\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = f**3 - 88*f**2 - 89*f. Let g be w(89). Solve 5*y + 3*j + 30 = g, 8*j - 25 = 13*j for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-13)\/(156\/(-8)) - (-16)\/3. Suppose 5*w - 1 = -v - i, 2*w = -5*v - 2. Let c be (2 + 0 - 3)*-4. Solve c*b + 16 = 0, 5*b = -v*s + 2*s - 24 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 9288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b = -445 + 444. Which is bigger: b or -9\/280?\nAnswer: -9\/280","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -1039*t**5 + 22*t**3 + 3*t + 11359?\nAnswer: -20780*t**3 + 132*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 34042?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = -p**2 - 18*p + 28. Let d(c) = c - 30. Let w be d(11). Let a be m(w). What is the highest common divisor of a and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -53\/720 and -93\/3728.\nAnswer: 167760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 43413981 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} {"text":"Question: Is 100 a factor of 97100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1 - 1690*l + 867*l + 1 + 836*l.\nAnswer: 13*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1.5 - -0.04. Let o = t + -0.04. What is o rounded to 0 decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) be the second derivative of 63*f**6\/10 - 1123*f**4\/12 - 2*f - 221. What is the third derivative of y(l) wrt l?\nAnswer: 4536*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 2 - -1. Suppose -3*j + 22 = -4*a, -a - 8 + 0 = -2*j. Let u(x) = -2*x - 4*x - 1 + x**j + 3*x - 1. What is u(z)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the seventh smallest value? (a) -758 (b) -1 (c) 0.8 (d) 2\/9 (e) 1 (f) 2 (g) -0.29\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t = 3.1 - -0.9. Let n = 133.4912 - 129.4911936. Let m = n - t. Round m to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 5552015 divided by -365\nAnswer: -15211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 365, 366, 369, 374, 381, 390?\nAnswer: 401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -70 + 11 + 106 + -72?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is (-272)\/(-44) - 3 - (6 - 3)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 6033 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = -2*x**2. Let z(c) = -340 + 61*c + 697 - 358. Determine z(t(g)).\nAnswer: -122*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*h - 5*h + 90. Let d = 28 - 7. Suppose 3*t - 9 - d = 0. What is the least common multiple of h and t?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -9 + (-1 - (-3 + 4 + -3))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c\/(c**(-1\/2)\/c))\/c*c\/(c*c**(3\/10)\/c*c) assuming c is positive.\nAnswer: c**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*k + 3*k - 39 = z, 2*z = k - 8. Let c be 82\/(-4)*(-1 + (-18)\/(-6)). Let r = c + 52. What is the least common multiple of r and k?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1 - -3. Let d(k) = -7*k + 9*k - y*k. Let z(w) = 8*w**2 - 5. Let t(l) = 4*l**2 - 3. Let r(p) = -10*t(p) + 6*z(p). Calculate d(r(n)).\nAnswer: -16*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -706, -655, -506, -265, 62, 469, 950, 1499?\n\"Answer: -y**3 + 55*y**2 - 107*y - 653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3*s + s + s**2 + s**2 + 5*s to the form l*s**2 + p*s + j and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = -q - 11. Suppose -56*f + 54*f + 3*p = 36, -16 = 3*f + 5*p. What is z(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-o + 6*o**3 + o)*(102 - 45 - 34).\nAnswer: 138*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z be 1\/(5\/(-6)*(-76)\/190). Solve 2*r = l - 0 + 3, 3*r = z*l for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0606423 + -16590?\nAnswer: -16590.0606423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 5*((-35)\/(-7))\/(-5)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1727*i - 1714*i = 0. What is f in -3\/4*f**2 + 3\/4*f**4 + 0*f + i + 0*f**3 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 171, 325, 481, 639, 799, 961?\n\"Answer: r**2 + 151*r + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -240849493502736 + -0.5?\nAnswer: -240849493502736.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -60 + 3*z - 11*z + 5*z + 5*z.\nAnswer: 2*z - 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f\/(f*f*f**5\/f)*f)**(-27)\/((f*f*f**3*f)\/(f\/(f**(-8)*f)*f)))**9 assuming f is positive.\nAnswer: f**999","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} {"text":"Question: Let k = 2763 + -1249. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 886 = -122*q + 383 - 961 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(156) + sqrt(156)*-3*6 - (sqrt(156)*4*1 - sqrt(156)))\/(-5*1*sqrt(432)*6).\nAnswer: sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 103*a - 5 = 108*a. Are a and -12\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 34 and 816.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*l + 0*l - 5*l)*(11 - 8*l - 11) + 3*l**2 + l**2 - 9*l**2.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate 837\/(-1053) - (-60)\/72.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2941 + 2320 - 984 = 91*m. Solve -m = -b - 49 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2749 times -2.2?\nAnswer: -6047.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*(sqrt(187) - ((6*sqrt(187) - sqrt(187)) + sqrt(187))) - sqrt(187))\/(sqrt(66)\/sqrt(486)).\nAnswer: -279*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -11348 divided by -4?\nAnswer: 2837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = 11*z**2 + 20*z + 14. Is a(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) be the third derivative of 5*j**9\/42 + 43*j**5\/15 - 4*j**2 + 28. What is the third derivative of i(f) wrt f?\nAnswer: 7200*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = -15*f - 18 + f**3 - f + 0*f - 16*f**2 - 3. Let j be k(17). What is the second smallest value in 3\/5, 6\/11, j?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (2\/6)\/((-1)\/(-9)). Suppose -n*r = r - 20. What is the lowest common multiple of 8 and r?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -5 - -4.5. Let p be ((-146)\/207)\/(8\/3). Let y = 1\/69 + p. Which is the second smallest value? (a) 5 (b) l (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -1\/3, -7.1, -28\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round -4660200 to the nearest 100000.\nAnswer: -4700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand 7*d + 2 - 7*d - 186*d**2 + (0*d + 2*d + 0*d)*(4 - 4 + d).\nAnswer: -184*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 457672 divided by 3011\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 4507 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y = 59323\/755 - 393\/5. Is y less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 250*t - 270*t - 700 = 0. Sort -1, 2\/7, 5, t in decreasing order.\nAnswer: 5, 2\/7, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 104781 is divided by 10473.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:23 PM and 9:50 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*(-1 + sqrt(1216) + sqrt(1216)) + (sqrt(19) + sqrt(171) + -4)*-4.\nAnswer: -64*sqrt(19) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 22 + 1 + -23 + -9 - (0 - 5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) be the third derivative of -z**4\/6 - z**3\/6 - 12*z**2. Let g(s) = s + 1. Let c(n) = 2*n**2 - 20*n + 2. Let u be c(10). What is u*j(w) + 2*g(w)?\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 3 (base 12) to base 8\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is five quarters of a millennium in months?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p be (7\/(-14))\/((-2)\/1976). Let u(w) = 9*w + 4*w - 483 + p - w**2 - 7*w**3. Let k(l) = -l**3 + l**2 + l + 1. Let a(f) = -6*k(f) + u(f). Calculate a(-8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*r - 6*r. Suppose r = 5*l - 3*a + 3, l - a = -3*a + 2. Suppose -2*w = i - 10, i + 4*w - 50 = -4*i. Solve 2*m + i - 2 = l for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 247031 is divided by 559.\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 21844 is divided by 986.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Work out 3 * -0.468.\nAnswer: -1.404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f = -87 - -433\/5. Let d be (16\/76)\/(2 + 0). Let m = -5.7 + 6. What is the closest to f in d, -0.3, m?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 9 + 1606?\nAnswer: 1612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-57)\/10*160\/192. Is -2 equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3*174\/(-116)*(-2 + 20\/6) - -7.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7 = 2*o + 1. Suppose 0 = -4*q + 1 + 7. Which is the second biggest value? (a) 0.4 (b) q (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 518?\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 66194 to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 10 + 106544155?\nAnswer: 106544165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 93505542 and 1101243?\nAnswer: 1028560962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -160526, -160757, -160998, -161255, -161534, -161841, -162182, -162563?\nAnswer: -162990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = 2*u**2 - 14*u + 14. Let x be v(6). Solve -2*q = -x*y - 12, -5*q - 5 + 19 = -y for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 200 is divided by 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c = 1.1 - 7.5. Let g = -6.462 - c. Let q = 3.762 + g. Round q to zero dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) = m**3 - 5*m**2 + 4*m + 2. Let l(f) = f**2 - 3*f - 5. Let i be l(5). Suppose -159 + 49 = -5*r. Calculate the smallest common multiple of r and t(i).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {e: 4, c: 1, l: 2}. What is prob of sequence ell?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose m = -60 - 51. Let c = m - -226. What are the prime factors of c?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve m + 25 = -5*r, -4*m - r - 28 = r for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d be (2 + 3)\/5*0. Suppose 15*r - 18*r - 3 = d. Which is smaller: -2 or r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*g**2 + 2*g**2 - 2*g**2 + (0*g + 2*g + g)*(g + g - 4*g) + (0 + 0 - g)*(6*g - 3*g - 4*g).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = -k + 138*k**2 - 11*k**2 - 13*k**2 + 54*k**2 + 1. Let t(i) = 336*i**2 - 2*i + 1. Let y(b) = 5*f(b) - 2*t(b). List the prime factors of y(1).\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = -4*b**3 + 4*b**2 + 11*b + 20. What is x(6)?\nAnswer: -634","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = -7*z**4 - 5*z**2 + 7*z + 93. Let d(q) = -q**2 + q - 2. Let j(o) = -5*d(o) + g(o). Differentiate j(w) wrt w.\nAnswer: -28*w**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 128\/(-320) + 2\/(-70). What is the second biggest value in 1\/8, 4, 2\/11, r?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*y - 8*y + 3*h = -48, -2*y + h = -71. Solve -10*j - 17 - y = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -8 + 8. Suppose p - 3*r - 6 = g, p = -3*r + 5 + 7. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -421, -692, -965, -1240, -1517, -1796?\nAnswer: -2077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:58 PM and 7:20 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00439566399 to 6 decimal places.\nAnswer: -0.004396","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -2\/3, -3, -510419, -5, -0.8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.2 * 189.\nAnswer: -37.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 3256, 2869, 1820, -221, -3584?\nAnswer: -8599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = 1029*h - 5050. What is z(5)?\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a = 21 + -16. Suppose c + c - 18 = -5*x, -a*x + 5*c = -25. Sort 12, x, -0.5.\nAnswer: -0.5, x, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify i**(-7\/2)*(i*i\/((i*i**(1\/10))\/i))\/i assuming i is positive.\nAnswer: i**(-13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*d + 13216 - 13444 = 0. Let h be (156\/(-18))\/((-4)\/114). Calculate the greatest common divisor of d and h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2 = 4*o - 2*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 m and 1 a when two letters picked without replacement from {z: 2, n: 7, m: 1, c: 1, a: 6}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 80\/3 + (-2)\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5509946333 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v = 2328 + -2331. What is the closest to -0.1 in -0.3, v, -1.1, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -55*t - 64 - 52 = -3*v, t = 6*t - 5*v + 20 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 225 divided by 25\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert 545065 (base 9) to base 10.\nAnswer: 325193","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0001103115 rounded to 5 dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -17\/9 in -10.3, -10\/11, 0.3?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 202382029?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) be the second derivative of -i**6\/15 - 7*i**5\/10 - 563*i**4\/12 + 14*i + 2. What is the third derivative of p(g) wrt g?\nAnswer: -48*g - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -13820 + 400742\/29. Find the common denominator of f and 16826\/1074 + (1 - 1).\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5321 is divided by 54?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 162 times -12.4?\nAnswer: -2008.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) be the third derivative of 2*c**7\/35 - 289*c**6\/120 - 787*c**5\/20 - 2319*c**2. What is the third derivative of d(x) wrt x?\nAnswer: 288*x - 1734","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*b - 2 = -8*b. What is the lowest common multiple of b and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + (-2*sqrt(208)\/sqrt(4))\/((sqrt(84)\/sqrt(3))\/sqrt(7)).\nAnswer: -2*sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -69, -285, -645, -1149, -1797, -2589, -3525?\nAnswer: -4605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h be -2*1\/(-2)*13. Let v = -8 + h. Suppose 5*n - v*k = -8*k + 7, 4*n + k = 7. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 10091740 to the power of 1\/2, to the nearest integer?\nAnswer: 3177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Express 9467*w**2 - 16477 + 16477 in the form b + z*w**2 + g*w and give z.\nAnswer: 9467","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2527*k**3 - 278*k**2 + 278*k**2.\nAnswer: -2527*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 192 and 314448?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000007911225673 rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is next in 491, 226, -43, -316?\nAnswer: -593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j be (1 - 0)\/((-2)\/4). Is (28\/2)\/(3 + j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (r + 2*r - 5*r)*(-2337 - 256 + 1155)*(-4 + 4 - 5) as v*r + b and give v.\nAnswer: -14380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = -m**3 + 65*m**2 + 4*m - 254. Calculate q(65).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = 3*n**2 + 7*n + 3. Let v be m(-3). Suppose -5*t + 4*u = -33, t - u - v = u. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-2)\/(-7) - (-7380)\/(-56))*-2. Let y = -259 + p. Suppose l + 48 = 4*l. Calculate the highest common factor of y and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = -1359343*h. Let c(d) = 18*d. What is c(n(a))?\nAnswer: -24468174*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -746*h**2 - 66*h - 10 wrt h.\nAnswer: -1492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-n + 1 - 1)*(2*n**2 - 3*n**2 + 2*n**2) + 0*n - n**3 + 0*n + ((2 - 3 + 0)*(-4 + 4 - 2) + 4 - 3 + 0)*(-7*n - 13*n - 2*n)*(2*n**2 + 3 - 3))*(0 + 2 + 0).\nAnswer: -268*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g\/(g\/(g*g**(1\/3))))**11*(g\/((((g\/g**0)\/g)\/g*g)\/g*g*g))**(3\/19) assuming g is positive.\nAnswer: g**(44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -5, 5, 25, 55, 95, 145, 205?\n\"Answer: 5*l**2 - 5*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify d\/((d\/(d\/d**(-7)))\/d)*(d\/d**(-7))\/d*(d*d\/d**(2\/9))\/(d*d**(-1)*d*d)*(d*d**4*d**(3\/2))\/(d\/(d\/d**(-6))*d*d**(-3)) assuming d is positive.\nAnswer: d**(545\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/3 of a hour in minutes?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l = -2*g + 13472 - 1474, 0 = 4*l - 20. Is g a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 53 = -5*g - 52 + 95, 0 = -b - 5*g - 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 i and 1 y when three letters picked without replacement from yiyiii?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put 0, 2404, -22 in increasing order.\nAnswer: -22, 0, 2404","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0 and -0.0582.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z = -2 + 4. Let s(y) = -9*y**2 + 10*y**2 - 6*y**z - y. Let j(d) = -d**2. Suppose u + 5*t + 4 = -2, 2*u = -5*t - 12. Determine u*j(f) + s(f).\nAnswer: f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*-4*(-4 + (0 + sqrt(98) - sqrt(98)) + sqrt(98) + 3 + 2 + -3)*2.\nAnswer: -16 + 56*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in 9\/10 of a kilometer?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ujr when three letters picked without replacement from {r: 1, j: 4, o: 4, u: 2}?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1663.\nAnswer: 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is (1 - 21 - (26 + -45)) + -28?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from jhjhjjjjjjhhh. What is prob of sequence hjh?\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -34b03c7 - -1?\nAnswer: -34b03c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {h: 2, d: 2, c: 3, y: 1, o: 2, f: 2}. Give prob of picking 1 f and 1 y.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 3*c**3*i**2*l + 82*c**3*l**2 - 12648*c*i**2*l**2 + 34*c*i*l**2 + 2*i*l**2 wrt i?\nAnswer: 6*c**3*l - 25296*c*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -3455 + 3455 + 43*w**3 + 35*w**2 wrt w.\nAnswer: 258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-53550)\/42840 + ((-149)\/(-98) - (-3)\/(-12)).\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 155 greater than or equal to -4122?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:22 AM and 11:01 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*r**2 + 1006740*r + 1006736.\nAnswer: 4*(r + 1)*(r + 251684)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert 33 (base 9) to base 8.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 130 minutes after 6:16 AM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = -11*v - 7. Let t be i(6). Let y = t - -78. Suppose -21 = 2*u + 5*x - 106, -y*u - x = -155. Is 3 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -11\/3 in -2\/19, -0.5, 2\/5, 99\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 24086804?\nAnswer: 2, 7, 53, 16231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 49824 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r + 5 - 9 = 0. Let l(j) be the third derivative of 1\/32*j**4 - 3*j**r + 0*j + 0 - 1\/24*j**3 - 1\/120*j**5. Factor l(x).\nAnswer: -(x - 1)*(2*x - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-12)\/(-16))\/(18\/(-4))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -37*k = -34*k - 3. Let s(f) = -f**3 - f**2 + 20*f + 31. Let r be s(-4). What is the nearest to r in -0.4, k, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xn when two letters picked without replacement from {x: 1, n: 2, z: 2, t: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 262 is divided by 100.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p be 99\/330*(-230)\/(-36). Let u = p + -17\/12. Factor 0 + u*g**2 + 1\/2*g.\nAnswer: g*(g + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = -20*s**3 + 39*s - 77. Give o(2).\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -3\/8, -3, 2\/569, 2\/7 in ascending order.\nAnswer: -3, -3\/8, 2\/569, 2\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -16\/3, 3\/220, -1, 0.061?\nAnswer: 0.061","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 75399\/(-3771) + 11 - (4 - 13) and 12\/5447?\nAnswer: 16341","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(192) - (sqrt(192) + -3*(-1 + sqrt(192))) - (-2 + sqrt(192) + 1))**2 - (1 + sqrt(192) + 4 - (1 + sqrt(192) + sqrt(192)*-1))**2) + 2.\nAnswer: -128*sqrt(3) + 566","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 8303?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 424 minutes before 9:14 AM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -k - k - 1 + 163 + 2966*k**2 - 771*k**2 wrt k.\nAnswer: 4390","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) be the third derivative of -13*s**6\/30 - s**4\/12 - 55*s**3\/6 - 46*s**2 - 2. Find the second derivative of g(r) wrt r.\nAnswer: -312*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -355934.642 to the nearest 100.\nAnswer: -355900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) be the first derivative of 13*l**2\/2 + 160. Let g(f) = -2*f. What is g(m(k))?\nAnswer: -26*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 54, 71, 32, -87, -310?\n\"Answer: -4*z**3 - 4*z**2 + 57*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = b - 2. Let x be v(6). Let o be (-4)\/16 + 2\/x. Let t = -3 + 7. What is the second biggest value in -2, o, t?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 68\/105 and 41\/315?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*o**4 + 5*o**2 - 5*o**2)*(1 - 1 - o) - o**5 - 2*o**5 + 5*o**5 - 3*o**5 - 3*o**2 + 3*o**2 + 2*o**2.\nAnswer: o**5 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -95227151*d*i**2 + 60231820*d wrt i?\nAnswer: -190454302*d*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1123, 1293, 1569, 1945, 2415?\nAnswer: 2973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 20828, 20815, 20802, 20789, 20776?\nAnswer: 20763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p**(-1))**(2\/15)*(p*p**(-1))**(-40))\/((((p\/p**(-1\/3))\/p)\/p)**(-5\/12)*p*p**(-5)*p*p**(-3)\/p) assuming p is positive.\nAnswer: p**(593\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -1176, -8962, -30090, -71232, -139060, -240246?\n\"Answer: -1112*l**3 + l**2 - 5*l - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z = 8.5 + -9.5. What is the fourth biggest value in 3\/5, 1\/4, z, 2\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 102 divide 40494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1156490 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Convert 494.881 litres to millilitres.\nAnswer: 494881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = -305*x + 382 + 383 - 197*x - 765. Let t(d) = 2*d. What is t(j(v))?\nAnswer: -1004*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Round 161851.33 to the nearest 1000.\nAnswer: 162000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = -d**3 - 20*d**2 + 57*d + 287. Give k(-22).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l = 4*d, 0 = 5*l - 2*l - 2*d. Suppose l = 6*y - 2*y - 2*s - 12, -2*y - 2*s = 6. Suppose 2*c - 7 = -1. Solve 2*r + c = -y for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -2901 (b) 0.2 (c) 2\/21 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort 36, 79, -49, 10.\nAnswer: -49, 10, 36, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate 70\/28 + 1 + 1*-3.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((j**(3\/11)\/j)**(-1\/43))**(-44))**(-2\/11) assuming j is positive.\nAnswer: j**(64\/473)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o = -33840 + 63825. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 4335427, 4335415, 4335391, 4335349, 4335283, 4335187, 4335055?\nAnswer: 4334881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -382818 and -4?\nAnswer: 382814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v = 2*n - 18, 6*n - 3*n + 15 = 3*v. Let w be n\/(-2) - (-958)\/(-190). Let u = 4\/95 + w. Calculate the common denominator of -87\/22 and u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -a**3 + 2*a**2 + 2*a**3 + 2 + 24939*a - 2*a**4 - 24936*a to k*a + c + s*a**2 + o*a**3 + m*a**4 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand -4*c + 51*c + 15*c + (0*c - 3*c + 7*c)*(7 - 2 - 3).\nAnswer: 70*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -11 (base 3) to base 12\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor -1\/5*y**2 - 4\/5*y - 4\/5.\nAnswer: -(y + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -35 = -5*r + 10. Suppose -2*q + q = -r. What is the units digit of (3\/q)\/((-3)\/(-135))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 685 minutes after 5:17 PM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m = -0.11 + 0.41. Let y = 25.36 - -3.04. Let v = -28 + y. Which is the nearest to 1? (a) m (b) 1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -1 (b) 1\/6 (c) 34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-9595)\/(-38))\/((-3)\/(-36)). Suppose -1200 - 618 = -3*k + 3*s, -s - c = -5*k. Is k a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*x + 165 + 65 - 340 for x.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 656037798?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -12 + 121111?\nAnswer: 121022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is (-4 - -1 - (-5 - -5)) + 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -671734158 rounded to the nearest 1000000?\nAnswer: -672000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 274 or 188?\nAnswer: 274","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) = -7*y**3 + 12*y**2 - 7*y + 4. Let m(x) = -x**3 + x**2 - x. Let u(b) = 6*m(b) - w(b). List the prime factors of u(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(104)\/(-4*sqrt(40)\/sqrt(5)).\nAnswer: -sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 24427.\nAnswer: 13, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 7b09b (base 16) in base 3?\nAnswer: 221121022022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 20621 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -13561*k**4*x**3 - 3*k**4 + 663*k*x - 19*x**3 wrt k.\nAnswer: -162732*k**2*x**3 - 36*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = 1932*n - 7. Let r be a(9). Suppose 0*h = 3*h - 4*i - r, -2*h + 5*i + 11592 = 0. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 t and 1 h when two letters picked without replacement from {h: 10, j: 2, o: 3, s: 1, t: 1}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is d6b - -cd?\nAnswer: 105a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-4)\/(-10) + (-520)\/(-200). Let h(r) = r**3 - 4*r**2 + r + 1. Let l be h(4). What is the nearest to -1\/4 in y, -0.3, l?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = -g. Let x(s) = 341*s**2 - 2*s - 8. What is b(x(y))?\nAnswer: -341*y**2 + 2*y + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2431?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h be (24\/(-20))\/(-2) + 16\/(-10). What is the smallest value in h, 2\/19, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 91*b - 87*b = -5*y + 6, 18 = -5*y + 2*b for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*w + 2*h = 1, 8*w - 4*h - 744 = -744 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) be the first derivative of -l**2 - 5 - 1\/4*l**4 - l + 1\/3*l**3. Determine p(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 127564, 255476, 383388, 511300, 639212, 767124?\n\"Answer: 127912*z - 348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-3)\/(-12 + 3)*0. Let q(f) be the second derivative of i*f**3 + 0 - 4*f**2 - 7\/12*f**4 + 4*f. What is the derivative of q(n) wrt n?\nAnswer: -14*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = -5*k**3 + 2*k + 7*k**3 + 5*k**3 - 5*k**2 - 7 + 0. Let a(p) = 3*p**3 - 2*p**2 + p - 3. Let m(v) = 5*a(v) - 2*r(v). Determine m(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (g**3 - 4*g**3 + 15*g**3 + 0*g**3 + 6*g**3 - g**3 + (4*g**2 + 3*g**2 - 5*g**2)*(1 - 2*g - 1))*(4 - 13*g + 12*g + 2).\nAnswer: -13*g**4 + 78*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*j**2 + 1 - 1)*(-7*j + 0 + 0)*(-358115 + 358115 + 321*j).\nAnswer: 4494*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -0.73 (b) -3\/5 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 3422 + -365?\nAnswer: 3024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 1223 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15 = y + 2*b, -y + 10 = 4*b - b. Suppose -y = 5*r + z, 4*r + 57 = 5*z + 8. Let n be (-8)\/r*6\/4. Solve 3*s + n*s = -5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*d - 4*m + 26 + 24, 3*d - 2*m = 35. Let o be 4\/6 - (-892)\/12. Calculate the greatest common divisor of d and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.01 - 2.21. Let s = 9.3 + m. Let n = s + 0.9. Are 1\/4 and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -206 (b) 223 (c) -29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 78 and 9.25333?\nAnswer: 721.75974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (-o**4 - 4*o**4 + 3*o**4 + 2)*(-25 + 120 - 971).\nAnswer: 1752*o**4 - 1752","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l = -5*a - 20, a + 10 = 5*l - 10. Suppose 0 = q - 0*q. Solve a = -z - q - 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = t**2 - 6. Let j(p) = 1. Calculate 6*j(x) + y(x).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 + -19 + (-109 + 133 - 63).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 46 - -617?\nAnswer: 663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = -33*h**3 + 13*h**2 + h + 100. Is 9 a factor of o(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: (34\/4)\/((2445\/60)\/163)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -7034? (a) -50 (b) -1 (c) -6\/119\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = -2*s - 5 + 2*s**2 + s + 3*s**2. Let y be n(-4). Let f = y + -9. Is f a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 182 and 64472.7155?\nAnswer: 64290.7155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -24 - (41 + -26 + -29)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put -13, 1, 4, -5, -261 in ascending order.\nAnswer: -261, -13, -5, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6178.\nAnswer: 2, 3089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/25 of a microgram in nanograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: (-112)\/(-7) + -3 - ((-372)\/14)\/(-2)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1\/59546 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = 2*i**3 - 11*i**2 + 3*i - 3. Suppose -15*s = -82*s + 335. What is n(s)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -13101212203 (base 4) to base 12.\nAnswer: -77b797","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = -4*x**3 - x**2 - 1. What is l(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 48219 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange m**2 - m**2 + 2*m - 3 + 1 + m**3 + 3*m**2 to the form w + r*m + h*m**2 + p*m**3 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 99?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) be the second derivative of -j**5\/12 - 5*j**4\/24 + 4*j**2 - 60*j. Let q(o) be the first derivative of x(o). Solve q(l) = 0 for l.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 74581596 and 156.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(126)*-1)\/sqrt(3))\/(-5*sqrt(6)*-1) - -4*(sqrt(1008) - 2*sqrt(1008)*2))**2.\nAnswer: 3638887\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-2 - -4) + 116 - -2. Suppose 0 = -z - z + n. Calculate the common denominator of -63\/22 and 4\/10 - (-141)\/z.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*p**4 - p**4 + p**4)*(0 - 2 + 4) - p**3 - 2*p**4 + p**3 + (p + 3*p - 8*p)*(3*p - 2*p**3 - 3*p).\nAnswer: 10*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*g - 5*q + 1 = 0, -4 = -2*g + 5*q + 3. Let d be 486 + (-2 - g - -2). What is d rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence sgn when three letters picked without replacement from {s: 1, q: 6, l: 1, g: 8, n: 4}?\nAnswer: 4\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 32\/3 and 2\/9015.\nAnswer: 9015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 124565595 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = -61*u + 246. What is the hundreds digit of n(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 65061\/20 + -3250. Let p = s + 9\/20. Let l = -7 + 11. Which is the nearest to -1? (a) l (b) -1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose q + 49 - 57 = 0. Solve -q = b - 3 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.120306759 rounded to two decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*q**3 - 3*q**3 + q**3)*(4*q - 4*q - 5*q)*(q + q + q).\nAnswer: -15*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 q, 2 d, and 1 j when four letters picked without replacement from {j: 2, q: 7, d: 3, o: 1, c: 1, y: 3}.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0017567 to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 45, 372, 1289, 3096, 6093, 10580, 16857?\n\"Answer: 50*u**3 - 5*u**2 - 8*u + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -413, -2\/7, -395, -41\/6, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 3 minus -259665303607462?\nAnswer: 259665303607465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*j**2 + 2 - 5 + 0*j**2)*(-3*j**2 + 8*j**2 + 10*j**2).\nAnswer: 30*j**4 - 45*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence dko when three letters picked without replacement from {d: 2, o: 2, h: 1, k: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -5*(-6)\/75 + (78\/5 - 3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -1609054 divided by 128?\nAnswer: -804527\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**(-1\/5)*(m\/m**(-1\/4)*m)\/m)\/(m**6*m**(-1\/3)\/m)*((m*m\/(m*m**(1\/9)))\/m)\/m**(-3\/7)*m**(-2\/9)\/((m\/(m\/m**(-3))*m)\/m) assuming m is positive.\nAnswer: m**(-73\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 74389 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r = -86 + 34 + 12. Solve -r*z - 14 + 14 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h = -d - 28 - 27, -20 = 5*d. Let b(c) = 35*c + 160. List the prime factors of b(h).\nAnswer: 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1327*c + 1322*c - 69 = -g, -4*g = 4 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 18, 62, 106, 150, 194?\n\"Answer: 44*r - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 3752346?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -255, -550, -843, -1134, -1423, -1710, -1995?\n\"Answer: y**2 - 298*y + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = m**3 - 2*m**2 - 3*m - 2. Suppose -3*r + 4*r = 3. Let b be (-1)\/(4\/4)*r. Let a be -2 - 1 - 18\/b. What is d(a)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = -2*q**3 - q**2 + q. Let y be r(1). Let l be 20\/8 + (-1)\/y. Solve -l*u + 2 = 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 78 - 78 - 6*o**2 + (4 - 4 + o)*(5 + o - 5) + 3*o**2 + 0*o**2 - 2*o**2 as f*o**2 + r + h*o and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = -v**2 + 4. Let u = 5 + -5. Is p(u) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -899*c**4 + c + 21087.\nAnswer: -3596*c**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_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 f = 12 + 30. Suppose -5*y - 15 = -0*y. Let w = 11 - y. Calculate the highest common factor of w and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = 10*w. Let p(b) = -2*b - 4. Let j be p(0). Let t be o(j). Let y = t + 101. What is y rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2888*h + 2878*h - 100 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (6\/(-12))\/((-5)\/(-10)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r = 15 - 15. Solve 5*f + 25 = -r*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose w + y - 477 = -y, 0 = -3*w + y + 1438. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2165523793 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 729476.\nAnswer: 2, 11, 59, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Does 6 divide 11407320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:53 AM and 5:48 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9 = 4*n - 3*n. Let c = n + 13. Let x(v) = 2*v**2 - 2*v - 4. Let i be x(c). Solve -i + 4 = -4*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -56*r**2 - 244*r - 264.\nAnswer: -4*(r + 2)*(14*r + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -102055355 (base 6) in base 16?\nAnswer: -1b2b97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -107\/44 and 49\/405492230.\nAnswer: 810984460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1\/(-1)*0)\/((-165)\/165).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*m - 54 = 4*j - 15 - 187, -j + 23*m = 20*m - 28 for j.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h = -1977801.98 + 1977819.3800121. Let m = -17.4 + h. Round m to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 14414 (base 9) to base 12.\nAnswer: 581a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from jjzjzjz.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose y - 632 = 5*y. Let p = y + 104. Let o = p - -80. What are the prime factors of o?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 299939 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c = -2.408 + 37.388. What is c rounded to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 0 < -2\/62674251?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (23*w - 36*w + 34*w)*(2 + 4 - 4).\nAnswer: 42*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -3999, -8017, -12027, -16023, -19999, -23949, -27867?\n\"Answer: t**3 - 2*t**2 - 4019*t + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p = -3741 + 3744. Solve -1 = k - 47*t + 51*t, 6 = 3*k + p*t for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -423105 (base 7) to base 11.\nAnswer: -4aa27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j = 9.1 + -9. What is the third smallest value in -2, j, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5659, -24, -123 in decreasing order.\nAnswer: 5659, -24, -123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g = -85 + 199. Let a = -237.7491 - -123.7585. Let h = g + a. What is h rounded to three dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 114899843 and 0.1.\nAnswer: 11489984.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 344021135 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q = -221 + 269. What is the lowest common multiple of q and 24?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -s - s = 3*q - 19, 5*q - 25 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is (60\/16)\/((-18)\/4*(-78)\/1404)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((4*(-3*(sqrt(500) + sqrt(500) + -2) - (sqrt(500) - (-2 + -3 + sqrt(500) - sqrt(500)))) + -2 + 3)*3)**2.\nAnswer: -25200*sqrt(5) + 3528225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = -24*s - 25. Let y(c) = -49*c + 1. Let i(t) = -223*t + 2. Let f(w) = 2*i(w) - 9*y(w). What is -11*f(r) + 2*j(r)?\nAnswer: 7*r + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -344 - -4315391?\nAnswer: 4315047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 647 and 7054241.\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = -2*n**3 + 30*n**2 - 100*n - 68. Give r(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*p = 7*v - 4*v - 171, 72 = -2*p + 3*v. Let x = p + 50. Suppose -2*t = -x - 61. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*f - 20*f + 246 = 0. Calculate the remainder when 76 is divided by f.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (24\/(-16))\/((-6)\/4). Let z be b + -1 - -2 - -1. Solve 1 = -z*r - 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = j + 1. Calculate p(-9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(272) + 2 + -5 - (2 + 1*sqrt(272))**2.\nAnswer: -279 - 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -13802 - 42?\nAnswer: -13844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 6 and 2173146?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 557581?\nAnswer: 43, 12967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v be -3*(9\/27 + -3 + 0). What is the remainder when 73 is divided by 2\/(v\/380*5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-71)\/284)\/((-6)\/16).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -2259 + 2256. Which is the fourth biggest value? (a) -0.2 (b) 3 (c) t (d) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((b**(-2)\/b)**(9\/2)*b**(1\/10)\/b*b**6)**(1\/17))**45 assuming b is positive.\nAnswer: b**(-378\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -3*(-5)\/(-15)*(-88)\/11?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 12 + -3 - (-19 - (-2 - 9 - -18))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 30020 and 863740?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1414*c - 2466*c + 30 - 30 to the form w*c + b and give w.\nAnswer: -3880","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m = -19 + 22. Suppose 2*c = -3*x - c + m, -x + c + 3 = 0. Calculate the remainder when 3\/(-4) + 15\/4 is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 101071?\nAnswer: 53, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) be the third derivative of x**7\/1050 + 11*x**6\/600 + 13*x**5\/100 + 3*x**4\/8 - 2*x**2 - 10*x. Factor b(a).\nAnswer: a*(a + 3)**2*(a + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0 - 1. List the prime factors of 1*90 + w + 5.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 264744.\nAnswer: 2, 3, 3677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 255 is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2506 is divided by 115.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 0*h + 3*h - 2*h)*(h + h + 0*h).\nAnswer: 2*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4097 divided by -4.\nAnswer: 4097\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 557173 is divided by 61?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence qqop when four letters picked without replacement from xpoqqqp.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 238493239?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*r**3 - 15137 + 15137.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Does -8666228 = -8666226?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = -340596*x - 3. Let r(j) = 3*j. What is n(r(q))?\nAnswer: -1021788*q - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 0.07 * -4.4\nAnswer: -0.308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g = 7*g + 3*c - 12, -2*c + 4 = 2*g. Suppose i + 6*x - g*x - 7 = 0, -2*x = -2. What is the third derivative of p**4 + p**2 - p**i - 4*p**4 wrt p?\nAnswer: -96*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 233 + -119. Suppose -3*i = -3*c + 9, -4*i + 0*i - 2*c = -12. Let h be (-612)\/(-8) + i\/(-2). What is the highest common divisor of d and h?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 808035651*n**3 + 9*n**2 - 15373276*n - 1 wrt n?\nAnswer: 4848213906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 23225008*c**3 - 24343*c**2 + 146*c wrt c.\nAnswer: 139350048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ywt when three letters picked without replacement from trvyw.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express (-47 + 24*b + 47)*(39 + 279 - 65) in the form t*b + g and give t.\nAnswer: 6072","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 110416 or 110397?\nAnswer: 110397","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Multiply -1690.8 and 0.2.\nAnswer: -338.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 62034 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -761, -1643, -2649, -3839, -5273?\n\"Answer: -10*q**3 - 2*q**2 - 806*q + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 18*h - 1153 - 467. Let f(x) = -h*x + 44*x + 45*x. Let v(j) = 83*j. Calculate v(f(q)).\nAnswer: -83*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6 - d + 2*d + 3)*((1 - 1 - 1)*(-3 + 0 + 1) - 3 + 8 + 6).\nAnswer: 13*d - 39","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u + 3*x + 1931 = 0, 2*u + 3*x - 1362 = 539. Suppose 0 = 6*g + 202 - u. List the prime factors of g.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 33, 109, 219, 357, 517, 693, 879, 1069?\nAnswer: 1257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 5 divided by 47428\nAnswer: 5\/47428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 a and 1 h when three letters picked without replacement from hhhhhaa?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from tnntgcttggcnt. What is prob of picking 3 t?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 12556881 a multiple of 1031?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Factor -80\/3*a + 50\/3*a**2 + 32\/3.\nAnswer: 2*(5*a - 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together -173567621 and -155.\nAnswer: -173567776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Multiply -543324 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 112\/35 + -6*1\/2.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 3\/14 (b) -8 (c) 2\/3 (d) 3\/8 (e) -3 (f) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*q**2 + 15436924*q + 29787327822722.\nAnswer: 2*(q + 3859231)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s = 1 - -2. Suppose 5*w + 5 = -3*j + 13, 1 = 4*w - 3*j. Suppose 3*m - 4 = 5*m. Put w, m, s, 4 in ascending order.\nAnswer: m, w, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) be the second derivative of c**7\/70 + c**4\/12 + 3*c**2\/2 + 3*c. Let v(n) be the first derivative of t(n). Find the second derivative of v(o) wrt o.\nAnswer: 36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(68) - (sqrt(68) - 1*(sqrt(68) - 1*sqrt(68))) - 2*(sqrt(68) - sqrt(68)*-2))\/(6*-3*(sqrt(4) + sqrt(100) + sqrt(4) + sqrt(4))).\nAnswer: sqrt(17)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put 4\/5, -4, 18, 45 in ascending order.\nAnswer: -4, 4\/5, 18, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h = 175.6 + -176. Which is the closest to 0.1? (a) -2 (b) -4\/7 (c) h (d) 1.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4*z + 9*z + 2 - 6*z + 8 to c + n*z and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 2 + -191?\nAnswer: -18c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 59*c - 118*c = -61*c, c - 10 = -2*y. Let g(m) = m**2 + 3*m - 30. What is g(y)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = -64 - y + 36 + 35. Suppose -77 = 12*g - g. Determine d(g).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*m + 0 + 10 = -5*s, 5*s = -25 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t = -4316 - -4309.276. Which is smaller: 1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1696 is divided by 1662.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k = -3277.1 + 3277. Which is the closest to k? (a) -2\/9 (b) 1\/3 (c) 1\/9 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 304 minutes before 5:18 AM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 43\/6 of a week?\nAnswer: 72240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*x + 4*a + 10, 2*x + a = -3*x + 2. Suppose x + 1 = 2*u. Suppose u = -4*f - 2*w - w, -5*w + 5 = 0. Is f not equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {d: 8, q: 4, i: 5}. What is prob of sequence qqd?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -43 and 2309772292?\nAnswer: 2309772335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = z**3 - 10*z**2 - 7*z + 7. What is w(7)?\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 43656892\/666 + (-1)\/(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) = 2*z - 8. Let k be l(8). Suppose 9*m - 7 = k*m. Suppose 0 = m*h - 154 - 385. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from kkkkkkkkkkxkxkkkkkk. What is prob of sequence xk?\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f*f\/(f**(-3\/7)\/f))\/((f*f**(-17\/2))\/f)*(f\/(f*f*f**(-5)*f*f)*f)\/(f**(-4)*f) assuming f is positive.\nAnswer: f**(251\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x = 123 + -60. What is the lowest common multiple of x and 84?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 211000 and 211027 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r = 2.35 + 95.65. Which is bigger: r or 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) be the second derivative of -3*m**8\/56 - 4*m**4\/3 - 9*m. Find the third derivative of s(n) wrt n.\nAnswer: -360*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) be the third derivative of -1667*w**7\/210 + 247*w**3\/6 - 1901*w**2. Differentiate a(t) wrt t.\nAnswer: -6668*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 4 + -7. Let w(x) = x**3 + 12*x**2 + x + 11. Let j be w(-12). Let h be b\/j*(-4)\/282. Which is smaller: 0 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 127 minutes after 11:23 AM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (17 - 14)*1*2\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 6532 - 6529. Factor 1\/3*h**v + 1\/3*h - 2\/3*h**2 + 0.\nAnswer: h*(h - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence fh when two letters picked without replacement from cfphmfm?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 11*l - 3*g = -184 + 26, 5*l + 0*l - 56 = -2*g for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1\/7808 + 38879\/1257088. Find the common denominator of -143\/138 and y.\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 19794*i**3*m - i**2*m - 116*i*m - 17*m wrt i.\nAnswer: 118764*i*m - 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -170037034220*o + 170037034220*o - 4*o**3.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m = -5.4 - -5. Let v = 0.2 + m. Let z = v - -0.7. What is the nearest to 0 in 4, z, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13 = -5*y - 2*l + 19, y + 4*l = -8. Let m(t) = 21*t - 11. Let d(o) = o**2 - 62*o + 31. Let n(h) = 3*d(h) + 8*m(h). List the prime factors of n(y).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = p + 26. Let r be m(5). Suppose 0 = -39*t + r*t + 912. What is t rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) = f - 27. Let h be z(30). Suppose -5*s - 39 = 2*x, -x + 3*s = h*x + 13. Which is the closest to 0? (a) -4 (b) -1\/5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 12379 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -3 - -6916?\nAnswer: 6913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = 13*l + 15. Let m(s) = s + 5. Let z be m(5). Let n = z + -8. Suppose n*g = 5*j - 10*j + 27, -2*g = -j - 21. Let h(x) = 7*x + 8. Give g*h(u) - 6*v(u).\nAnswer: -u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3071682074058 + 0.02.\nAnswer: -3071682074057.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let o be 6\/7 - 205\/35. Let y(j) = j**3 + 6*j**2 - 6*j - 7. Let s(a) = -a**3 - 5*a**2 + 5*a + 6. What is o*y(g) - 6*s(g)?\nAnswer: g**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = o**2 + 4*o - 3. Let s be b(-5). Let u = -86.42 - -86.32. What is the second biggest value in u, s, 22?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*p + 5*i - 35 = 3*p, -4*p + i = -3. Suppose -2*u - p*o = -12, 22 = 3*u + 2*u + o. Suppose 2*b - 6*b + 20 = 0. Sort u, 3, b in decreasing order.\nAnswer: b, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = n**3 - 2*n**2 - n - 4. Let c be g(3). Let a(r) = -6*r - 2 + r - r**c - 2*r. Let u be a(-3). Solve -2*v - u = -0*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-38)\/(-8) + -6 + (130\/(-8))\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -13 (base 4) in base 3?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o be 5*33\/(-15)*-9. Suppose 4*v + 6 + 6 = 0, -w + 5*v = -o. Suppose 85*z - w*z = 214. Calculate the remainder when z is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -35675663 bigger than -35675660?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -0.2 * -3821545\nAnswer: 764309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 525 minutes before 6:34 AM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000000631 rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 7 in 24\/29, -5, 2\/25?\nAnswer: 24\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3 - 3 + 2*a)*(-a - 3*a + 2*a) - 17*a**2 + 11*a**2 + 5*a + a**2 to the form f*a**2 + m*a + b and give f.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-8)\/18)\/(-1)*40\/(2*45\/(-108)).\nAnswer: -64\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-4)\/6)\/((-6)\/1845). Let a = d + -200. Solve 2*n - 9 = a*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v - 2*m = 242, 5*v - 3*m - 2*m = 305. Let b = -34 + v. Is 9 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 172 minutes before 6:04 AM?\nAnswer: 3:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate 640*0.552.\nAnswer: 353.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m - u - 4 = 0, 4*m + 11 - 27 = 4*u. Suppose m = -3*l + 8*l - 95. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (99\/2)\/(27936\/43456)?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w = -3401 + 3399. Sort -2\/3, -35, -11, w in decreasing order.\nAnswer: -2\/3, w, -11, -35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 19\/4 of a gram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) be the first derivative of -a**5\/60 - 2*a**3\/3 - 2. Let q(x) be the third derivative of b(x). Let d(y) = -2*y. Give d(q(n)).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r = -0.22 - -0.24. Let s = -0.18 - r. Let l = 5 + -3. Which is the second biggest value? (a) l (b) s (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 4528 + -4532.846. Let s = d - 0.154. Put -0.6, 2\/13, s in descending order.\nAnswer: 2\/13, -0.6, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 6 divide 424572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -10 * 6701879\nAnswer: -67018790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = 1341*i. Let d(u) = -11*u**2 + 8*u. Let h(n) = 27*n**2 - 20*n. Let z(j) = -10*d(j) - 4*h(j). Give z(t(x)).\nAnswer: 3596562*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*sqrt(28)*-2 - (sqrt(112)\/sqrt(4) - sqrt(28))*4)*-5 - (3 + (5 + sqrt(28))*-6*-3).\nAnswer: -93 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = 2042*f + 81. Let z(g) = -2045*g - 72. Let l(j) = 8*a(j) + 9*z(j). Let h(v) = 4*v**2. What is h(l(c))?\nAnswer: 17123044*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 1022 + 3003?\nAnswer: 4030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Put -5, -36653, -1, -4, 0 in descending order.\nAnswer: 0, -1, -4, -5, -36653","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Are 1 and -3\/87785 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1422 = -3*g + r - 239, -5*r = 3*g - 1177. Let q = -307 + g. Calculate the highest common divisor of q and 145.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 159\/(-5300)*20*20.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (((-3)\/54)\/((-2)\/8))\/1.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 365239037 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = u. Suppose 0 = g + 5 - 9. Let z(d) = 6*d - g*d - 7*d. Calculate z(b(l)).\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1667\/120 + -319\/24. What is the fifth biggest value in 1\/4, 0.09, -2\/13, y, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) be the second derivative of -x**4\/12 - 3*x**3\/2 + 6*x**2 + 18*x - 2. What is g(-7)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -10 + -27 + (-6 - (7 - 21 - -8))\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -15, -18, -21, -24, -27?\n\"Answer: -3*a - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 23 (b) -2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = 3*m**2 - 24*m. Let x(p) = -p + 4. Let n be x(-6). Let j be k(n). Suppose -40 = -2*c + 4*i, 0*i - 5*i = -3*c + j. Is c a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 2807439.6ms to minutes.\nAnswer: 46.79066","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1010011100111010011100011 - -100?\nAnswer: -1010011100111010011011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 43\/32 and -3\/40?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*g = -62 + 17. Suppose -k + g = j + 1, -5*j + 4*k + 85 = 0. Solve 2*z + 3*d = 4, -3*d = -4*z - j + 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -2631 + 31595\/12. What is the common denominator of (4\/30)\/((-12)\/205) and a?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) = -241*y**2 - 9*y - 177. Let k(i) = -242*i**2 - 6*i - 178. Let d(s) = -4*k(s) + 3*w(s). What is the second derivative of d(p) wrt p?\nAnswer: 490","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00003727388 rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*c**3\/5 - 14572*c**2\/5 - 11664*c.\nAnswer: 2*c*(c - 7290)*(c + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) be the first derivative of 8611*o**2\/2 - 7774*o - 8591. Differentiate q(j) wrt j.\nAnswer: 8611","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -31\/60 + 4\/15. Let r(s) = -s**3 - 4*s**2 - 3*s + 3. Let n be r(-3). Let z = n - -2. Which is the smallest value? (a) 0 (b) v (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 2082894 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide 14521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 + (0 - 4) + 1 + 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -132, -270, -408, -546?\nAnswer: -684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = -o**3 - o**2 - o + 1. Let k be (-6 - -9) + (-10)\/(-15)*-3. Let m(i) = -3*i**2 + i + 2. Give k*m(l) - 2*b(l).\nAnswer: 2*l**3 - l**2 + 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*f + 10 = -2*c + 4, -3*c = 18 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Factor -4\/3*g**2 + 2*g - 8\/9 + 2\/9*g**3.\nAnswer: 2*(g - 4)*(g - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 244 + -3662\/15. What is the third smallest value in g, 4, -20?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {l: 9, m: 5}. What is prob of sequence llmm?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:45 AM and 12:13 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.39 in 174, 3\/8, -6\/373?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 166468 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = -3*n + 59. Calculate f(19).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.5 in -0.1, 1, 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let 176*f**2 - 20*f**2 - 74*f**2 - 320*f**3 - 10*f**5 - 96*f + 199*f**2 + 71*f**2 + 104*f**4 = 0. Calculate f.\nAnswer: 0, 2\/5, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 142427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -143\/17502 and 3\/4966.\nAnswer: 43457466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19*g = -24*g + 10. Suppose 81 = -c + 4*c. Calculate the remainder when c is divided by g + (-2 - -1) + 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 16*j + 7*j = 6*p - 8*p - 101, 3*j - j = 5*p - 45 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.03 - 0.33. Let k = -197.854 - -196.454. Which is the third smallest value? (a) 1\/3 (b) w (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 10\/(-1) - ((-39)\/(-13) + -5)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Does 104 divide 1664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 44\/5 of a gram in milligrams?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*u = -20 - 4 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/3, 0.4, 0, -0.1 in increasing order.\nAnswer: -0.1, 0, 0.4, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 14628?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort 19, 293, 8087.\nAnswer: 19, 293, 8087","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Add together 27056 and -396.3997.\nAnswer: 26659.6003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 64222064?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) be the first derivative of s**4\/2 - 3*s**3 - 3*s**2 - s - 21. Let p(x) = x**3 - 5*x**2 - 3*x - 1. Let w(i) = -4*a(i) + 7*p(i). What is w(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = 8*x - 6. Does 12 divide g(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3449654 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: What is the tens digit of 15271219?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = -x**3 - x + 2. Let q be j(0). Let b = -15 - -21. Suppose k - b = -0*k. What is the greatest common factor of q and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-372)\/7750)\/((-66)\/20)*(-340)\/136.\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f = 4701825062 + -220003096484653\/46791. Let x = 2\/1733 - f. Calculate the common denominator of (-476)\/48 - (0 - 2) and x.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3 + (976\/4)\/4 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 2d7 - 4?\nAnswer: 2d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 2012909 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1996578?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert 6 (base 11) to base 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose h - 6*h + u + 114 = 0, h = -4*u + 27. Suppose -4*v + h = -53. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 14496 + -40385855\/2786. Is b less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 25 = -5*d, -t - 5*d = 27 - 4. Suppose -4 = -3*w + 2. Suppose 0 = w*i - 0*i - 4. What is the remainder when t is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*((sqrt(72) + 5*-3*sqrt(72))*-5 + -1))**2 + -5 + -3.\nAnswer: -7560*sqrt(2) + 3175201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 51 and 150144.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 1232140 + 10?\nAnswer: 1232200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -70 = 3*h - 469. Let p = -95 + h. Let c = 66 - p. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 193 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 101111000010100101 (base 2) in base 13?\nAnswer: 69914","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = -f**2 - 2*f + 5. Let a be c(-3). Let o be 15\/5 + (-1 - (a - 2)). Suppose -3*p = -o*p - 92. Is p a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 19\/4 of a tonne?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -30, 47, -8, -22.\nAnswer: -30, -22, -8, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 6639 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 222*m**2 - 668*m**2 - 9 + 12 to b + g*m**2 + d*m and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*g - 5*m + 25623 - 25764 = 0, 0 = -g + 4*m + 109 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 3 - -8523?\nAnswer: 8526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2)\/(8\/6)*3006\/(-10521).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*sqrt(21)\/sqrt(3) - sqrt(7)*-2*-4.\nAnswer: -13*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 65.24183702 - 0.6\nAnswer: 64.64183702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*-2*sqrt(400)*5)\/(1*(sqrt(392) - sqrt(392)*-1)).\nAnswer: -25*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 17bf (base 16) in base 10?\nAnswer: 6079","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k be -3*1*(13 + -14). Suppose 3*x - 11 = -2*p, x - 1 = -4*x + p. Let l(d) = 2*d**2 - d - d - 3*d + x + 1. What is l(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3*3\/(-270) + 202564\/(-10680).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 40, 93, 146, 199, 252, 305?\n\"Answer: 53*y - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = -9*u - 639. Let r be b(-70). Sort 3, -1, r, -19, 1 in increasing order.\nAnswer: -19, r, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 1 + 0. Let j be (-7 + 4)*(0 + c). Let i = j - -8. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {j: 4, a: 1, g: 5}. What is prob of picking 1 j and 2 g?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = 2*f. Let x be o(2). Let l(z) = z**3 - 5*z**2 + 6*z - 5. Let m be l(x). Find the first derivative of 0 - m - w + 0 + 2 wrt w.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -9*o - 265 + 994. What is the highest common divisor of 351 and o?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 2930 - -6354. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = i**3 - 6*i**2 - 54*i - 56. Let t be l(-4). Is 7\/82 at most t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 556 minutes after 10:22 PM?\nAnswer: 7:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let 21*o**5 - 195*o**4 - 5610*o**3 - 22170*o**2 - 26091*o - 9315 = 0. What is o?\nAnswer: -9, -3, -1, -5\/7, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w - 5*i = -111 - 54, -5*i = 4*w - 315. Is 15 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 68\/590817 and -31\/87.\nAnswer: 590817","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (0 - 2)\/(-2) + 201 is divided by -3*1*(-1 + -1)*5?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -6980495303 + 6980494995.9999773. Let b = r + 307. Round b to 6 decimal places.\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 91\/50 and -101\/10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n = -118995\/4 - -29749. Let z = -4 - 0. What is the closest to z in 5\/4, n, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -475 = -10*a - 435. Suppose -t - 1 - 2 = 0. Let b be t + 2\/(-6)*-3. Sort 2, b, a.\nAnswer: b, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 753 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m - 3*m = -4*w - 62, 5*m - 4*w - 246 = 0. Let f = 21 - m. Let s = 44 + f. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = l**3 - l**2 - 240*l - 1. Let i be q(16). Are i and -14314 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25 = -4*m - 3*z, 2 + 23 = m - 3*z. What is the remainder when 94 is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3901759 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Determine b, given that 2*b**3 + 1474*b**2 + 261260*b - 528432 = 0.\nAnswer: -436, -303, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -2.1 (b) 15 (c) 5 (d) 0 (e) -0.3 (f) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = -6*h + 16. Let l be w(0). Suppose l*p - 24*p = -968. Calculate the remainder when p is divided by -1 + 32 - (0 - 0).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -60483*k**2 - 60485*k**2 + 181466*k**2 - 60493*k**2.\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z = -10.5 + -8. Let d = -19 - z. Let p be 0\/(-2) + (-1)\/10. What is the smallest value in 4, d, p?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2041379 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*j + 4*n - 41 - 159, -120 = 3*j + n. Let r = -15 - j. Suppose -3*i - 3*i = -42. Solve 0 = -2*t + i*t + r for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 1 - -5. Find the common denominator of a\/24*196\/(-10) and -111\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00027644 rounded to five dps?\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.41 and 0.18.\nAnswer: 0.0738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {e: 1, b: 3, y: 1, r: 1, f: 6, o: 3}. What is prob of sequence rbfb?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 133584289 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 7*c + 35. Let r be c\/(-4 + (-9)\/(-6)). Which is smaller: r or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 3.419 + 0.8.\nAnswer: 4.219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) be the second derivative of u**6\/600 - u**5\/60 + u**4\/40 + 3*u**3\/10 - u**2 + 5*u. Let p(m) be the first derivative of g(m). Factor p(n).\nAnswer: (n - 3)**2*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 9990799*d**2 + 78344214?\nAnswer: 19981598*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 2\/9, 2\/11, 3.15?\nAnswer: 3.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = -m**2 - 11*m + 3. Let b be d(-11). Suppose -39 = -l - b*l + 3*v, -2*l - 4*v + 14 = 0. Is l even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 656782?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p = -78 + 119. Let v = p + -39. Find the third derivative of 5*w**2 - 7*w**2 - 7*w**3 + 17*w**v wrt w.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 383187?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9 = 16*f - 19*f. Solve 0 = f*h - h + 6 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -27\/16 + 275\/144. Suppose -3*y + 31 - 34 = 0. Let q(w) = w**3 - 5*w**2 - w + 3. Let j be q(5). Which is the closest to -1\/3? (a) g (b) y (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -559105650 rounded to the nearest 1000000?\nAnswer: -559000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + ((1*sqrt(363))\/sqrt(11))\/sqrt(11).\nAnswer: -3 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence aqa when three letters picked without replacement from aaqwaaqwqq?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 12511?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 1882*x - 8722*x + 471960 for x.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z = -10491 - -18068. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = -2*c**3 + 29*c**2 - 14*c. Let n be m(14). Factor 4\/5*f**4 + n*f + 0*f**3 + 0 - 4\/5*f**2.\nAnswer: 4*f**2*(f - 1)*(f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*x - 19299 = 3*d + 22598, 2*d - 4*x + 27968 = 0. Let g = 1048013\/75 + d. Let k = 4\/25 + g. Which is the nearest to -2\/7? (a) 0 (b) k (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 19 + 39 - 16 - 6*x + 4*x to s + l*x and give s.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 91445*g**2*h**3 - 32*g**2*h**2 + 11*g**2 + 10*g*h**5 + g*h**2 + 3*h**2 - 116*h wrt h.\nAnswer: 548670*g**2 + 600*g*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wwqm when four letters picked without replacement from {m: 5, w: 2, q: 13}?\nAnswer: 13\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20*f - 34466 - 21591 = 23143. What is the lowest common multiple of 528 and f?\nAnswer: 7920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 31? (a) -4 (b) 1\/11 (c) -0.002 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f = -41 - -84. Let y = -38 + f. Suppose -y*j + 291 + 7384 = 0. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7.425 rounded to 1 decimal place?\nAnswer: 7.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h\/h**11)\/h)\/h**(-1\/10) assuming h is positive.\nAnswer: h**(-109\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a = 4*n + 21, 3*a = -2*a - 5*n. Let x(z) = -z**2 - z + 4. Give x(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*u**2 - 19*u + u**3 - 2*u**2 - u**2.\nAnswer: u**3 - 19*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -885155 times -0.264\nAnswer: 233680.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6*u + 7*u + 0*u.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 4742 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 366083 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*g**2 - 18*g - 44.\nAnswer: 2*(g - 11)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/3? (a) -0.0149 (b) -10 (c) 2\/263 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*((sqrt(204)*1)\/sqrt(12) - (sqrt(34) - sqrt(68)\/sqrt(2))\/sqrt(2)) - ((-2*sqrt(1088) + 4)**2 + 5).\nAnswer: -4373 + 122*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z + 8 = -o + 2, 4*z = -5*o - 12. Suppose -p**z + 71*p - 36 - 36 + 2*p**2 + 0*p**2 = 0. What is p?\nAnswer: -72, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 386 minutes before 2:00 AM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is (-36 - -63) + (-51 - -2)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = -55*a**2. Let d(x) = 23*x**2. Determine t(d(s)).\nAnswer: -29095*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = i**3 - 6*i**2 + 3*i + 6. Let l be (((-24)\/6)\/(-8))\/(2\/188). Suppose -l*c = -40*c - 35. Calculate s(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -41*y**4 + 1249400*y**3 + 174476*y**2 - 550*y wrt y?\nAnswer: -984*y + 7496400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 233525 (base 7) in base 12?\nAnswer: 20452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = -v**2 + 15*v - 13. Let j(o) = o**2 + 8*o + 5. Let u be j(-9). Let m be w(u). Suppose -k = -m - 2. Solve -k = -s + 1 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-4)\/12)\/(8*9\/648)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:43 AM and 11:46 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9834560 = 41*p - 9*p. What is p rounded to the nearest 1000?\nAnswer: -307000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 48305 * -4\nAnswer: -193220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x be (2 + 58 + -7)*-3. Let d = 148 - x. List the prime factors of d.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(44)*2*3 - (sqrt(1584) + (sqrt(1584) - (-4 + 0 + sqrt(1584) + sqrt(1584)))).\nAnswer: -4 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z = -504 + 549. What is the first derivative of -2*j + z - 141 - 55 wrt j?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1673394893 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.4, -1, -4, -0.3 in descending order.\nAnswer: 0.4, -0.3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 0.6 take away -765918381511?\nAnswer: 765918381511.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 31\/7 and 73\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = -46956*v - 5237. Is s(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 1557 divided by -2601\nAnswer: -173\/289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 0.2 (b) -21 (c) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 + 2 = -2*p. Let r = -19 + 22.2. Let s = r + -3. Which is the third smallest value? (a) -2\/7 (b) p (c) s (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} {"text":"Question: Let j(l) = -l**3 - 12*l**2 + 26*l - 20. Give j(-14).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 4923.73t in kilograms?\nAnswer: 4923730","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 3723540 and 198372?\nAnswer: 3252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 3, 22, -1, -14 in descending order.\nAnswer: 22, 5, 3, -1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j = 377*g - 381*g - 2476, j = 5*g + 1232. List the prime factors of j.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u - 14 = -11. Let j be 0\/u - (1256\/(-4) + -5). Calculate the greatest common factor of j and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 127 times -10404?\nAnswer: -1321308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 10263265 is divided by 3555.\nAnswer: 3535","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = y + 2. Let g(j) = -21 + 46 - 14 - 10. Determine -5*g(f) + 3*s(f).\nAnswer: 3*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 621898 is divided by 50?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -15*h + 59 = 14 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 37975379 to the nearest integer?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Round 195000 to the nearest ten thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*j - 40*j - 924 = -166*j. Suppose -c + 2 + 3 = 0. What is the smallest common multiple of j and c?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) be the first derivative of m**2\/2 - 43*m - 92. Let v(t) = 2*t**2. Determine v(o(r)).\nAnswer: 2*r**2 - 172*r + 3698","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate (((-612)\/189)\/34*6)\/(-2).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (28\/(-42))\/(((-10)\/(-1233))\/(-5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -0.015 (b) -5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -4402*o**2*y**4 - o**2*y**3 + 128*o**2 - 2*o - 4 wrt y.\nAnswer: -17608*o**2*y**3 - 3*o**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 514 is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 b and 2 v when four letters picked without replacement from {v: 2, b: 2}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a = 3 - 0. Let t(u) = 8*u + 3. Let s(k) be the first derivative of -20*k**2 - 16*k - 5. Let o(j) = -2*s(j) - 11*t(j). Determine o(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*j + 85 = -4*m, 80 = -2*m - 2*m - 4*j. Let t = m - -14. Let f be (-1)\/t - 9\/6. Sort 5, -5, f in ascending order.\nAnswer: -5, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 75 and 1155?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c - 3*c + 39 = g, -5*c + 186 = 2*g. Is c a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -6602 - -6601.89. What is the closest to 0.2 in 0.11, -4, 2\/7, g?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 207 minutes before 8:54 PM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*s + 4*s + 58 = 0. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2*1752\/2628*(-6)\/8*-6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 1227*f**6*x**2 + 25*f**4*x**2 - 4*f**2*x**2 - 5*f**2*x - 2*f**2 + 44*x + 35 wrt f?\nAnswer: 147240*f**3*x**2 + 600*f*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0 - 5. Let v = 2558 - 2557.8. Which is the closest to -2? (a) -0.5 (b) v (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 353 minutes after 1:32 AM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a = 39 + 27. What is the least common multiple of 8 and a?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 691 - 224. Is 12 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 1*1.7\nAnswer: 1.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6808427425.\nAnswer: 5, 59, 619, 7457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = -u**3 - 12*u**2 + 100*u - 16. Let y be g(-17). Let m = 1038 + y. What is the hundreds digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (4\/10)\/(2\/(-10)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19*m + 111*m = -1034 - 1696. Sort 4, 71, m in ascending order.\nAnswer: m, 4, 71","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) = -3*l**2. Let m(u) be the first derivative of -5 + 0*u**2 + 0*u + 2\/3*u**3. Give m(y(s)).\nAnswer: 18*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 132837?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 92488 is divided by 22625?\nAnswer: 1988","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is next in 825, 3382, 7637, 13584, 21217, 30530, 41517, 54172?\nAnswer: 68489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = 6*i - 82. Let a be n(15). Calculate the highest common factor of a and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 2 (b) -1\/2 (c) 2\/17 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -5 (b) -6\/11 (c) 0.1 (d) -7530\/13 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k = 574979\/36 - 15973. Let s = -10\/9 - k. Is s at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/2 in -2\/71, 3\/4, -3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 52532 equal to -0.328?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*g - 16 + 6. Let p = 14 + 2. Let s be p\/18 - (-2)\/(-9). What is the third smallest value in g, s, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = 7*l + 6. Let c(f) be the second derivative of -4*f**3\/3 - 7*f**2\/2 - 58*f + 3. What is -5*c(o) - 6*z(o)?\nAnswer: -2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0008717 rounded to 4 dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -7, 9, 57, 155, 321, 573, 929?\n\"Answer: 3*o**3 - 2*o**2 + o - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((r**(3\/5))**(-30))**(1\/18))**17 assuming r is positive.\nAnswer: r**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6*x - 11*x - 6*x - 3*x.\nAnswer: -14*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*x + 25 = 0, 3*a + 0*a + 5*x - 40 = 0. Solve -a*r + 5 = -2*c - 4, 5*r - 18 = -c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -12 - 7 - 6 - 2*o**2 + 19 + o**2 - 27*o to k*o**2 + g*o + l and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (i + 2 - 4*i - 3)*(i**3 - 5*i + 5*i).\nAnswer: -3*i**4 - i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 909623899 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort -13, -5, -15, -11, -4, 19 in decreasing order.\nAnswer: 19, -4, -5, -11, -13, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1920) + (2*sqrt(1920) + sqrt(1920) - sqrt(1920)))\/((-2*sqrt(486) - sqrt(486)) + sqrt(486) + sqrt(6) - sqrt(6)).\nAnswer: -4*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -327*8\/(-120) - (-22)\/110\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = j - 1. Let h(w) = 10*w + 3. Determine -h(r) - v(r).\nAnswer: -11*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 99 + 17 - 116 + 6991*c**2 + 5138*c**4 wrt c?\nAnswer: 123312*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (19*p**2 - 46*p**2 + 10*p**2)*(0 + 0 + 4) - 7*p**2 + 4*p**2 - 5*p**2.\nAnswer: -76*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 122739656 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(11) - ((sqrt(11) + -3*sqrt(11) + sqrt(11) - sqrt(11)) + 1))**2 - ((sqrt(176) + sqrt(11))*6)**2)*5.\nAnswer: -49000 - 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h - 3*m = 11, 2*m - 13 = -5*h + 4*m. Let u = -13 - -18. Calculate the highest common factor of h and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 501 minutes before 3:27 AM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = 27*j - j**2 + 42 - 27*j + 15*j. Let g be k(14). Let n be (g\/12)\/((-6)\/(-9)). Solve -4*x - 2*h + n*h - 32 = 0, h = 4*x + 16 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.8 times -82182582?\nAnswer: 65746065.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*p + z + 4*z + 14, -4 = 2*p + 3*z. Suppose -4*k - 2*i + p = 9, -4 = -k + i. Solve h + h + h = k for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 45 or 47?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: (-26 + 44 - 44) + 24\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = 2*i + 9. Give c(7).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a**4\/7 - 164*a**3\/7 + 327*a**2 - 2124*a\/7 = 0. What is a?\nAnswer: -177, 0, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = f**3 - 9*f**2 - 10*f + 1. Let p be h(10). Solve -3*w - p + 13 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) be the second derivative of -l**3\/6 - 8*l. Suppose -6*z + 12 = -2*z. Let p(v) = -3 - v + z. Determine g(p(q)).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17*n - 18*n + 3*i = 1, -5*n = -4*i - 39. Let p(k) be the third derivative of 1\/6*k**3 + 0*k + 0 + n*k**2 + 1\/24*k**4. What is p(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 12\/31, 15269, 4 in increasing order.\nAnswer: 12\/31, 4, 15269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u + 24 = -2*y, 5*y + 8 = -5*u + 6*u. Differentiate u*z + 102 + 4*z**2 - 3*z**2 - 33 wrt z.\nAnswer: 2*z + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*c + 4*h = 2*c + 9, 0 = -2*c - 5*h + 6. Let i(a) = -a**2 + 2*a**2 + 5*a + 600*a**3 - c*a. Let u be i(-2). What is u rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = o**2 + 4*o + 2. Let u(b) be the second derivative of b**4\/6 + 3*b**3\/2 + 5*b**2\/2 + b. Let w = 10 + -6. Let f(v) = w*u(v) - 9*a(v). What is f(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8308184?\nAnswer: 2, 1038523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -409, 3, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 3242523?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*s = -5*h + 34, -5*h - 534*s + 537*s + 26 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 165, 320, 477, 636, 797, 960?\n\"Answer: q**2 + 152*q + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j**(-2\/3))**(-2\/19)*(j**(-1\/4))**(-25) assuming j is positive.\nAnswer: j**(1441\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or 10\/18387?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand 1 - 3*n - 3 + 2*n + (1 - 1 - 2)*(n - 3*n + 8*n).\nAnswer: -13*n - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1609936?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = -t. Let h(v) = 5*v + v - 6*v + v**2. What is h(m(j))?\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 806007?\nAnswer: 3, 173, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 3132083 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round 18.4908 to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w = 335 + -335. Solve 2*p = 4*q + 4*p, -5*p = w for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose u - 2 = 0, -12*c + 13*c + u - 40 = 0. What is the remainder when 47 is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {b: 1, c: 4, i: 5, x: 3, g: 1, p: 3}. What is prob of sequence pcbg?\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is (4\/50*3)\/((-5334)\/(-1270))?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {j: 1, e: 6, o: 1, z: 3, y: 2}. What is prob of sequence ez?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1487 is divided by 100?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Add together 223.1 and 22631175815.\nAnswer: 22631176038.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m = 145 - 15. Find the first derivative of -119 + 8*n**4 + n**4 + m wrt n.\nAnswer: 36*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -326 - -429 - (34 + 9)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 77784246 and 54.\nAnswer: 77784246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w = -2.12664 - -6.1272. Let r = w + -4. What is r rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (34 - 26 - 15)*((-5*k + k - 6*k)*(0*k**3 + 0*k**3 + k**3) + (k**3 + k**2 - k**2)*(k + 0 + 0) + 0*k**4 + 2*k**4 + 2*k**4).\nAnswer: 35*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p = -392 - -1968\/5. Let h = 10 + -10. Factor -p*y**3 - 4\/5*y + 18\/5*y**2 + h.\nAnswer: -2*y*(y - 2)*(4*y - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (1 + -6)*2\/(-5). Suppose 216*y - 220*y = -12. Let t(i) = -y*i - i**r - 5 - 1 + i + 7*i**2. Let n(j) = 11*j**2 - 3*j - 11. What is -4*n(x) + 7*t(x)?\nAnswer: -2*x**2 - 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 15082?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*z + 17 = -j, 245*z - 249*z - 3*j - 18 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*t**2 + 208668*t + 1878336.\nAnswer: -4*(t - 52176)*(t + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v be (42\/63)\/(4\/132). Solve -14 + v = -2*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 9\/8 or 25908?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (2 - 1)\/((-8)\/(-760))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/10 of a millimeter in micrometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 7*(-20)\/35*228\/304?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g be 0*2\/(-4) - -2. Suppose 3*s - 440 = -g*s. Suppose 0 = 4*u - s - 60. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence nec when three letters picked without replacement from cccececnccceccncc.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*j - 0*j - 10. Let m(r) = 2*r - 2*r + r**j. Let l(i) be the first derivative of -4*i**2 - 24. Calculate l(m(b)).\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 4988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 58702?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y = 462.1 - 462. Which is the closest to y? (a) -0.4 (b) 0.011 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 13 divide 6593021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) be the second derivative of 17*u**6\/15 + u**5\/20 + 31*u**4\/6 + 2*u - 9. What is the third derivative of n(o) wrt o?\nAnswer: 816*o + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 444 minutes after 6:40 PM?\nAnswer: 2:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 13434211 (base 5) to base 2\nAnswer: 100010001010011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*v + 28 = 3*v. Solve 0*p + p - v = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -24, -5, 21 in decreasing order.\nAnswer: 21, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 1003978698 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15*q - 537 + 147 = 0. Calculate the greatest common divisor of 286 and q.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 272\/(-238) + 512\/105. Which is the third biggest value? (a) 2 (b) p (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} {"text":"Question: What is -28 + (21 - (3 + -16))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 2375246 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 432 minutes before 11:51 PM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: ((-4)\/20)\/(2184\/1680)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = -s + s**3 - 12 - 1823*s**2 + 6 + 1821*s**2. Give a(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/3 in 12, 3, -0.518?\nAnswer: -0.518","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 184316.\nAnswer: 2, 11, 59, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*g + 2*v = 341 - 9, 414 = 5*g + 3*v. Solve -17*p = 4*p - g for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor s**3\/5 + 2133*s**2\/5 + 4263*s\/5 + 2131\/5.\nAnswer: (s + 1)**2*(s + 2131)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 16a6 + 21626?\nAnswer: 23221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o - 147 = 9*o. Let k be (o\/(-2))\/(5\/50). Is k - (-5 + 4 - -4) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = 2*l**3 + 311*l**2 - 1776*l - 802. Let n be w(-161). Factor 0*v + 3\/5*v**n + 156\/5*v**2 + 0.\nAnswer: 3*v**2*(v + 52)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -440304 (base 5) to base 4\nAnswer: -3223213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 23755698 a multiple of 261?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 205988003?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 27122.31 rounded to the nearest one thousand?\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Multiply 540815.2 and -0.5.\nAnswer: -270407.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -32 (base 10) to base 7\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = 178*l - 365. Calculate b(4).\nAnswer: 347","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express -223 - 19*m - 33*m + 111 + 116 in the form h*m + a and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) be the first derivative of 5*y**2\/2 - 18*y - 4. Let i be k(11). Let n = 4 + i. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:50 AM and 8:30 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = f - 1. Let d be b(5). Let k be ((-32)\/(-10))\/(2\/20). Let l be 99\/44*k\/6. Calculate the highest common divisor of d and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 176387532 divided by 6\nAnswer: 29397922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 4781002*o**3 - 4231279 wrt o?\nAnswer: 14343006*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*((sqrt(121) + 4*((sqrt(121) - 2*sqrt(121)) + sqrt(121)) + sqrt(121))\/sqrt(11) - (sqrt(88) - -2*sqrt(88))\/sqrt(8)*6)**2.\nAnswer: 11264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z = -31 + 74. Calculate the remainder when z is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (1016\/(-6) - 0)*177\/(-59). Let y = 509 - c. Let d be 1\/(-235)*4*-5. Which is greater: y or d?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -71 + 159. Suppose -5*j + 4*g + 226 = 0, 3*j = g + 42 + x. What is the highest common divisor of j and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -c**3 - 149217*c**2 + 2604 wrt c?\nAnswer: -3*c**2 - 298434*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = s + 15. Let g be 3\/(3\/2)*-5. Let o be n(g). Sort -3, -6, o in descending order.\nAnswer: o, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -0.1 (b) 0.5 (c) 6.4 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d be (1 - 10) + (2 - 1). Let x = d - 1. Let b = 0 - x. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -333944\/25 + 13357. Calculate the common denominator of 24\/785 and k.\nAnswer: 3925","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -20*h**3 - 2226020*h**2 + 2*h + 10875275.\nAnswer: -120*h - 4452040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-n**2 + 4*n**2 - n**2)*(-2 + 1 - 2) - n**2 - n + n + 68 + 11 - n**2 + 5.\nAnswer: -8*n**2 + 84","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/2, -45596, -24 in decreasing order.\nAnswer: -1\/2, -24, -45596","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -16 (base 12) in base 13?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 295 minutes before 4:00 AM?\nAnswer: 11:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3 - 10 - (19 + (26 - 75))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) be the second derivative of 5\/6*h**3 + 0*h**2 + 11*h + 0 - 1\/20*h**5 + 0*h**4. What is the second derivative of v(x) wrt x?\nAnswer: -6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 10800 - (-4)\/16*0. What is z rounded to the nearest one hundred?\nAnswer: 10800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*t + q = -6*t - 70, 2*q - 30 = -t. What is the remainder when 541 is divided by t?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.2 and -13.41.\nAnswer: 2.682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 112 = 3*j + 4*c, 3*j - 34*c - 76 = -29*c. Solve -j*w + 11*w + 21 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = -0*c + 4*c. Find the second derivative of -q**c - 2*q + 3*q - 2*q - 2*q**2 wrt q.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 62038 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*i - 49 + 25 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 99469759 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {c: 5, f: 5}. Give prob of sequence ffff.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*f + 30 = -15*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -198*b - 533167 = -550195 for b.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 18 and 2205?\nAnswer: 4410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let 5\/2*s**4 - 10 + 44*s + 19*s**3 - 111\/2*s**2 = 0. Calculate s.\nAnswer: -10, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -16*s**4 - 920*s**3 - 13257*s**2 - 6457*s - 800 = 0.\nAnswer: -32, -25, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(98) + 3 + -5 + sqrt(72) + sqrt(72)*-3*-3.\nAnswer: -2 + 67*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x = -9 - -14. Suppose -2*u = x*k - u, u = 2*k. Let i be k\/((-2)\/4*-2). Round i to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-1)\/((-24)\/(-2))*3\/(-1). Sort i, -1\/2, 30 in descending order.\nAnswer: 30, i, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1141556?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-10)\/(-200)*(22\/(-165) - 86\/30)?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) be the third derivative of 0*o**4 + 3*o**2 + 0 + 0*o - 1\/60*o**5 + 0*o**3. Let a(c) = 8*c**2. Determine j(a(r)).\nAnswer: -64*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s = 7610\/3 + -2562. What is the common denominator of 243\/(-70) + (-12)\/(-30) and s?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = 472*z. Let l(k) = 40*k. Determine l(n(r)).\nAnswer: 18880*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (6 - -15 - 2) + (0 - 1) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6357 is divided by 33?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 6 = 154*g - 156*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3 + (-3 + (sqrt(847) - (-1*sqrt(847) + sqrt(847) + sqrt(847) + sqrt(847))) + sqrt(847) - (sqrt(847) + -1*-1*sqrt(847))) + 3)**2.\nAnswer: 132*sqrt(7) + 3397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*o - o + o)*(-3 + 1 + 4) - 126881*o + 253752*o - 233 - 126883*o.\nAnswer: -16*o - 233","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:35 PM and 4:01 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 1258 and 8?\nAnswer: 5032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 5034000*z**4 - 33912130*z**2?\nAnswer: 120816000*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is c in -2*c**4\/9 + 98*c**3\/9 + 202*c**2\/9 + 34*c\/3 = 0?\nAnswer: -1, 0, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k be 50100\/(-2100) - (-26 - -1). Factor -2*t - k*t**2 + 4\/7.\nAnswer: -2*(t + 2)*(4*t - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*u - 16 = -2*u + 4*z, 3*u + 2*z = -8 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0 + 0. Let f(p) = -p**3 + 5*p**2 - 3*p - 1. Let t be f(3). Let d = t + -8. Solve -5*i - 3*q + 17 = d, 4*i + q = -o*q + 15 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -490446 divided by 14862\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 20 - 1012011121?\nAnswer: -1012011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Does 2676 divide 1242945804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 765275578 to the power of 1\/2, to the nearest integer?\nAnswer: 27664","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) be the third derivative of -i**6\/120 + 11*i**5\/60 - i**3\/6 + 3*i**2. Let t be y(11). Let f(z) = 6*z - 1. Give f(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.04 + -0.09. Put r, -5, -3 in descending order.\nAnswer: r, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = 2*f - 1. What is the remainder when 75 is divided by j(7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 25 is divided by 23?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1597258 is divided by 319347?\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 13479 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h**(5\/2))**(17\/2)*(h**(-3\/10))**(-1))**6 assuming h is positive.\nAnswer: h**(1293\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -74*v**3 - 69*v**2 - v wrt v?\nAnswer: -444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 w and 1 k when two letters picked without replacement from jwjjwbawajbwbwjk?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/5, -0.1, -2\/11, -0.067.\nAnswer: -1\/5, -2\/11, -0.1, -0.067","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 119\/15408 and -101\/710480.\nAnswer: 6394320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 88374 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = 2*p**2 - 8*p - 7. Let c be m(-5). Let t = c + -37. Let z = t - 26. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = z**3 - 10*z**2 + 9*z - 11. Let y be x(9). Let h(o) = -o**3 - 11*o**2 - 9*o - 12. Let b be h(y). Is 7\/(177\/b - 2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p\/p**(-1\/3)*p)\/p*((p\/(p*p\/(p*p\/(p\/(p\/(p**(4\/5)\/p))))*p*p))\/p)\/p*(p**(-1\/2))**(-16) assuming p is positive.\nAnswer: p**(98\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.24*170.\nAnswer: 40.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = 5*k**2 - 6*k - 1. Let h(l) = 2*l**2 - l. Let g(d) = -f(d) + 6*h(d). Let x(o) = -1. Determine -g(c) - x(c).\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -9.7114 take away 0.2?\nAnswer: -9.9114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -1 + 1 + -55 + 43?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from dcczuiozozo. What is prob of sequence oud?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*r - 1337 = -p - 1323, 0 = -3*r + 5*p + 2 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = 4*i - 10 + 10. Let k be l(1). Suppose 5*v = -0*v - 4*m + 2, -2*v - k*m = -8. Let d(z) = -3*z. Determine d(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -134 + 294. Does 32 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 10 - 16. Let v(y) = -y**2 - 5*y + 4. Let i be v(c). What is the second biggest value in 2\/11, i, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -5 divided by -99818896\nAnswer: 5\/99818896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = -59*p - 24. Let k be h(-5). Let z = -118 + k. Let t = -22 + 39. What is the highest common divisor of z and t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w = 2*w - 15. Suppose 0*c + 69 = w*c. Suppose 11 + c = 2*b. Solve -3*d + 17 = -2*l, 0 = d - 3*l + 2 - b for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 252 (base 16) to base 9.\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n = -2*g + 12, -g - 2*n - 6 = -3. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 34 - -113577675?\nAnswer: 113577731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**(23\/3)\/y**(5\/2))\/((y**(-4\/21)*y)\/(y*(y\/(y**3\/y))\/y)) assuming y is positive.\nAnswer: y**(47\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 10*d = 2118 + 1903 - 4381 for d.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*z - 5*j + 22 = 0, -4*z + 2819 = -0*z + j + 1404 + 1406 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = s**2 + 6*s - 5. Let r be h(-7). Let j(c) = c**r - 5*c + 5*c. Let t(n) = -6*n. What is t(j(k))?\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + n + 2)*(0 + 4 - 5 + (-2 + 0 + 4)*(11 - 3 - 1)).\nAnswer: 13*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 60893194 is divided by 84.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1010101011110000101 - 11?\nAnswer: -1010101011110001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Does 32 divide 633521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n = 82 + -33. Calculate the remainder when n is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 4\/(-10) + (-12)\/(-5). Suppose -j*y = -10198 - 6002. What is y rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 11\/64842 and 107\/1212?\nAnswer: 129684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*d = -104075 + 18105. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -9073, -36332, -81757, -145342, -227081?\nAnswer: -326968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u + 19 = -m, -4 = m - 5*m. Let i(w) = -2*w**3 + 12*w**2 - 9*w + 1. Let x be i(u). Solve -9 - x = -3*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 263206505.\nAnswer: 5, 101, 521201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-2)\/3 - 67\/(-33). Suppose 3*q + 42 = -3*d, 5*d + q + 78 = 4*q. Let r be 0\/(-6)*5\/d. Which is greater: f or r?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/17? (a) 0.1 (b) -140 (c) -3 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -256*k = -3*f - 255*k - 362 + 401, f - 77*k + 217 = 0 for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Divide 1 by -24776.\nAnswer: -1\/24776","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = -j**2 + 9*j - 1. Is h(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 27.926853 months in millennia?\nAnswer: 0.00232723775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 180021*f**2*m**5 - 25190*f**2*m - 3*f*m**2 - 2*m wrt m?\nAnswer: 10801260*f**2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in -34122, 0, -1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -11, -14, -17?\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in 28072, 28075, 28080, 28087, 28096, 28107?\nAnswer: 28120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l = -3*g + 2, 5*l - 6*l = 5*g - 11. Let x be g\/(-5)*(-65)\/26. Solve -x - 4 = 5*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = 2*i**2 + 13*i + 5. Suppose -2*g + 48 = 2*s + 3*g, -96 = -4*s - g. What is the lowest common multiple of t(-7) and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/2 in 0.3, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 1105585751 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 10218 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = -o**2 - o + 1. Let h(p) = -4*p**3 + 6*p**2 + 8*p - 7. Suppose 0 = 4*f - f - g - 44, 6*g + 40 = 2*f. Determine f*t(i) + 2*h(i).\nAnswer: -8*i**3 - 2*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(133) - (-2*sqrt(133) - sqrt(133)))*-5)\/sqrt(7).\nAnswer: -20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x = -2980 + 2982. Solve d + 4 = 4*m, 8 = -x*d - 20*m + 17*m for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 6 + -3. Let f = i + 0. Suppose f*w = 4*w - 71. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 19253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-2*(sqrt(66) - sqrt(66)*-2) + (-1*sqrt(66) + sqrt(66) + sqrt(66))*-5)*4)\/(5*sqrt(42)\/((sqrt(77)*-1 + sqrt(77) - sqrt(77))\/sqrt(11))).\nAnswer: 44*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 87251249 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19*b + 109 = -128*b. Let k(r) = -40*r**3 + 15*r - 15. Let c(l) = -l**3 + l - 1. Give b*k(n) + 15*c(n).\nAnswer: 25*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d be (9 - (0 + 4))*(-3)\/(-15). Let h(f) = f + 6. Let r(o) = 1. What is d*h(q) - 4*r(q)?\nAnswer: q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 8197925 or 8197926?\nAnswer: 8197925","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -11*y - 3*z + 426 - 389 = 0, -3*y + 5*z = 19 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -10322.8682 rounded to one decimal place?\nAnswer: -10322.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = a**2 + 30*a + 29. What is g(-30)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 88 and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = 0 + b**3 - 8*b + 0*b + 3*b**2 + 3*b**2 - 3. Let c be j(-7). Suppose 0 = -c*n + 4 + 12. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -1093 (base 11) to base 13\nAnswer: -863","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*u + 2*u + 11. Let o(q) = 9*q**3 + 6*q**2 + q - 6. Let c(l) = -17*l**3 - 11*l**2 - 2*l + 11. Give u*o(b) + 6*c(b).\nAnswer: -3*b**3 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = 222*a + 47. What are the prime factors of i(13)?\nAnswer: 7, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -32614 - -85137. Suppose 74*h - 71*h = -247569. Let c = r + h. Round c to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve b + 7*b = 40 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 356194607 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = -2*h**2 - 4*h. Let u(b) = -3*b**3 - 6*b**2 - 7*b - 3. Give -2*n(y) + u(y).\nAnswer: -3*y**3 - 2*y**2 + y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (5 - 2*p**2 - 5)*(6*p**2 - 2*p**2 - 2*p**2 + 2 + p**2 - 2 + (0 + 0 - 2*p)*(2*p - 4*p + p)).\nAnswer: -10*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-2*(-2*sqrt(70) + sqrt(70)))\/sqrt(10) + 2*sqrt(7)*-6*-6)**2.\nAnswer: 38332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is ((-617349)\/6)\/((-21)\/6) + (-123)\/(-287) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -4 + 1. Let g = 11 + z. What is the greatest common divisor of 56 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 4 - 2630651?\nAnswer: -2630644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 0*z**6 + 0*z**6 - 6*z**6 + 2*z**2 + 3*z**2 wrt z?\nAnswer: -720*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = w - 19. Let l be f(12). Let s(o) = -2*o**2 - 9*o + 2. Let h be s(l). Let z = h + 75. Is 11 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -3020 + 5608. Is b a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -98, -1092, -2078, -3050, -4002?\nAnswer: -4928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*s**3 + s**5 - s**2 + s**2 + 0*s**5 + 0*s**5 - s**5 - 2*s + 2*s**5 + 2*s + (3*s - 4*s - s)*(-s**4 + 3 - 3).\nAnswer: 4*s**5 - 2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 365 + 620 = 197*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-990)\/(-150)*(-15)\/(-9).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -2, -108458, 4.75, 2?\nAnswer: -108458","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v + 5 = -40. What is the remainder when v is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence fh when two letters picked without replacement from {p: 1, h: 1, f: 2, n: 3}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express -2 + a**3 - 6*a**2 - 68*a + 32*a + 37*a in the form p*a**3 + q*a**2 + f*a + i and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 2850 and 114.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:18 AM and 10:15 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate 627552 divided by 313776.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1981 and 8207.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (6\/22)\/(54\/(-36))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-5 + 2 + 4)\/((-99)\/99). Let s(b) = 7*b**2 - b - 2. Let p(y) = y**2 + 1. Calculate i*s(g) + 4*p(g).\nAnswer: -3*g**2 + g + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express -1724*d**2 + 435*d**2 + 138*d + 426*d**2 + 430*d**2 + 435*d**2 as z + k*d + y*d**2 and give k.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = 5*x - 3*d, x + 2*d = 4*d - 5. Let p(i) = i**3 - 4*i**2 + 2*i - 2. What is p(x)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2 in 4\/21, -3\/5, 0.2, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i = 2 - -6. Let q = 6 - i. Let z = 7 + q. Solve 4*c + 31 = 3*d, -5*c = -2*d + z*d + 5 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-4)\/8)\/((-873)\/(-36)). Do a and 2\/11 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10*z**2 + 2117*z - 1058*z - 1059*z.\nAnswer: 10*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s be (4 + -6 + 3)*-7. Let h(m) = m**2 + 10*m + 17. Let b be h(s). Which is bigger: b or -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = f**2 + 5*f + 8. Let g = -464 + 472. Let j be -1*(-20)\/5 - g. Calculate x(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-50*j**4 + 19*j**4 - 7*j**4)*(0 - 2*j + 0).\nAnswer: 76*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-3)\/(-3))\/((-2)\/(-14)). Suppose -3*c + 14 = -2*t, 2*t = 4*c - 2*t - 24. Suppose -c*u + z*u = 0. What is the closest to u in 3, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -1 + 5 + 3 + 4 + 76*o - 8 in the form z*o + t and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 4? (a) 97 (b) -191 (c) -5 (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 13 a factor of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v = 13726 - 13717. Sort 0, 54, v.\nAnswer: 0, v, 54","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 9436245*d**3 + 57556537*d**2?\nAnswer: 56617470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h = 2.5 - 3. Let b = 53 - 49. Let n = 0.06 - -0.14. Sort h, b, n in descending order.\nAnswer: b, n, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2078 is divided by 320.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = 334*h**3 - 5*h**2 - 4*h. Let u(l) = 331*l**3 - 6*l**2 - 6*l. What is -6*t(k) + 5*u(k)?\nAnswer: -349*k**3 - 6*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 4.2524441 rounded to 1 dp?\nAnswer: 4.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from eeejmmm. What is prob of sequence ee?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -1, 3, 3796 in decreasing order.\nAnswer: 3796, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = -k - 1. Let c be w(-3). Suppose -3*h - 4*b = -81, -3*h - 27 = 2*b - 102. Suppose -94 + 2 = -h*m. Solve -3*x - c*o - 13 = 0, x - m*o + 12 = 3 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = 6*t**2 - 5*t. Let g(h) = -11*h**2 + 10*h. Suppose 0 = -55*b - 168 - 52. What is b*g(s) - 7*n(s)?\nAnswer: 2*s**2 - 5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = 2*p, 8*p + 4 = 5*x + 4*p. Suppose -4 = -v - 0*v - 4*s, 2*v + 4*s - 8 = 0. Sort x, -9, -5, v in descending order.\nAnswer: v, x, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -10 + -1 + 2 + 12 + -8 - 1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m = 154 + 477. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = 3*n**2. Let q(w) = -3*w**2 + 5*w. Let o(u) = -31*u - 34*u + 66*u. Let j(r) = -5*o(r) + q(r). Determine j(d(g)).\nAnswer: -27*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r = 2*i - 0*r + 14, 3*i = -r - 1. Put -5, i, 0.4 in decreasing order.\nAnswer: i, 0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 3 + -2044?\nAnswer: -2041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 1 (b) 8 (c) 4 (d) 0.39 (e) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 1787768 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 83\/60060 and -81\/5068.\nAnswer: 10870860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.24, 3\/2, 0, 1\/8, 0.3, 42.4 in decreasing order.\nAnswer: 42.4, 3\/2, 0.3, 1\/8, 0, -0.24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 17*b**2*d**3 - b**2*d - 2*b*d**3 + d**4 - 31*d wrt d.\nAnswer: 102*b**2*d - 12*b*d + 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = -24*s**3 + 2*s**2 - 1. Let z be n(-1). Let p = z + -16. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.5 * -1.135\nAnswer: -0.5675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -28 + 22 + (-2 - -4) + 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 585 = 5*t + 2*h, -2*h + 491 = 4*t - 5*h. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 12197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Does 6 divide 3372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert 21 (base 4) to base 5.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 14909 is divided by 142.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Divide -12184 by -4.\nAnswer: 3046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = 155*z**3 - 135*z**2 + 13*z + 55. Let u(m) = 79*m**3 - 60*m**2 + 6*m + 27. Give 4*b(t) - 9*u(t).\nAnswer: -91*t**3 - 2*t - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -608*a**3 - 2259*a**2 wrt a?\nAnswer: -3648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -11 or -2289\/187?\nAnswer: -2289\/187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 29 + 1 + (101 - (169 + -96))?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: (-60)\/(-6) + (-12420)\/1725\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 2\/29 or -261.2?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*a - y + 24 = 0, -2*a - a = -3*y + 24. Let i = 7 + -7.5. Let s = -0.9 - i. Sort a, s, 1\/4 in ascending order.\nAnswer: a, s, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-9*q**4 - 8*q**3 + 8*q**3)*(-3 + 2 + 0) to the form x*q**3 + b*q**4 + g*q + c*q**2 + l and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*c + 2*c + 3*c)*(c + 3 - 3)*(3 + 1 - 1)*(3*c - 5*c + c).\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*z + 3*l - 112 = 0, 2*l = 3*z - 32230 + 32393 for z.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence eg when two letters picked without replacement from {g: 4, e: 2, b: 1, r: 2}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) be the third derivative of 1153*s**6\/15 + 5908*s**3\/3 - 11116*s**2. Find the first derivative of i(k) wrt k.\nAnswer: 27672*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -111 + 53 + 57 - 7836*a.\nAnswer: -7836*a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 20 + -3?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert -31 (base 6) to base 13.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -211 divided by -5\nAnswer: 211\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = 7*d + 5*d**2 - 7 + 9 - 4 - 4*d**2. Give q(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 433 + -2164\/5. Suppose 2 = 5*g - 3. Do g and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -2317467, -9269853, -20857163, -37079397, -57936555, -83428637, -113555643?\n\"Answer: -2317462*q**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.3 and 233?\nAnswer: 69.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x be (2\/(-6)*0)\/(-1). Let c(n) = x + 3*n - n + 0. Let u(k) = -2*k. Give c(u(s)).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1290\/7 - -184. Let y = 0.075 - -0.225. What is the smallest value in p, 4, y?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:46 PM and 7:31 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 4832377 and 239622?\nAnswer: 28994262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*-2*((-5*(sqrt(272) - sqrt(272)*3 - sqrt(272)))**2 + (2 + 0 + sqrt(272))**2).\nAnswer: -491808 - 128*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p + 4*y - y = 18, 0 = p + 3*y - 16. Suppose -s + 24 = 3*c + 5, s = c - p. Solve -2*j = c*d + 13, -4*d - 10 - 7 = -5*j for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = -8*g. Let o be 30\/12 - (-9)\/(-6). Give p(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 r and 1 u when two letters picked without replacement from zurlnnunurjlr.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:35 AM and 4:14 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p be (45\/(-27))\/(1\/(-3)). Suppose 2*w - 316 = -4*a, 810 = -2*w + 7*w + p*a. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -4 and 4684.356.\nAnswer: -18737.424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) be the second derivative of g**5\/20 - g**3\/2 - g**2 - 18*g. Factor t(r).\nAnswer: (r - 2)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 12673004 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 20593 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1061682897.\nAnswer: 3, 11, 32172209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = 114*b**2 + 35*b + 103. List the prime factors of r(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7 = -2*n + n. Let k = n - -17. Let z = 13 - k. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 61 - -33108?\nAnswer: 33169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 1614758*c**3*h*w**3 + c**3*w**3 - 5825*c**3*w**2 + c**3 + c**2*h*w**3 + 7*c*w**2 - 2*w**3 wrt h?\nAnswer: 1614758*c**3*w**3 + c**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Are 102 and -203 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -903, -1791, -2675, -3555, -4431?\n\"Answer: 2*l**2 - 894*l - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 12\/40 - 286\/220 - -13\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: (-5)\/20*(1\/5)\/((-35)\/(-10325)*59)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d**(-1\/3)*d\/(d*d\/d**6)*d\/(d**6\/d)*(d*d*d*d**(1\/3))\/d)**41)**(-40) assuming d is positive.\nAnswer: d**(-4920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*b + 11*b = 4*h - 429554, -b + 3*h = 85913. Let d = -49910 - b. Round d to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:41 PM and 5:31 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g be 1\/(-4) + 14\/56. Suppose -p + 3*o + 5 = 0, -4 - 8 = 2*p + 5*o. What is the nearest to 2\/5 in 1\/6, g, p?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g = 32 - 88. Let v = g - -54. Suppose 0 = c - 3*c + v. Calculate the greatest common divisor of 39 and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 0.3 (b) 0 (c) 11 (d) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.588 - -0.888. Which is the nearest to l? (a) -0.017 (b) 6 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x + 2*s - 154 = 0, 63 + 30 = x + 5*s. Suppose -x = 2*m - 11. Let d = 32 + m. Solve -b - d = 2 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose w - 12 = 55. Let o be (w\/(-3))\/(1\/(-1425)). Suppose -o = -r + 23175. Round r to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find p, given that 5*p**3 + 310*p**2 + 5365*p + 16820 = 0.\nAnswer: -29, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = -12*j + 42. Let n be d(4). Let t(l) = -7*l + 2. Give t(n).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = 3*d + 3. Suppose 0 = 2*y - 0*y + 4. What is the remainder when y - (-33 + -3 + -1) is divided by r(5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-135 + 135 - 8*n + (-2 + 0 + 4)*(0*n - n + 0*n))*(-n**4 + 4*n**3 - 4*n**3).\nAnswer: 10*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = -z**3 - 10*z**2 - 7*z + 11. What is u(-8)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j**0\/(((j*j**2)\/j)\/j))**39 assuming j is positive.\nAnswer: j**(-39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 12520032 is divided by 46.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = -o**3 - o**2 - 2. Let i(a) = -31 + 3*a + a**2 + 0*a**3 + 63 - 29 - 2*a + 2*a**3. Calculate 3*g(j) + 2*i(j).\nAnswer: j**3 - j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h = -2*b - 9, b = 4*b + 2*h + 11. Let g be (0 - -1)\/(-2 - b). Calculate the highest common factor of 3 and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 452 and 453 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x = -1 + 3. Let c(s) = s**3 + 2*s**2 + s. Let n be c(-1). Suppose -5*l - x*t + 375 = n, 0*t - 25 = 5*t. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = -z + 16. Let y be k(6). What is the highest common factor of 170 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q*q\/(q\/(q\/(q\/(q\/((q**(1\/2)\/q)\/q))))))\/q**(4\/7))**(1\/51) assuming q is positive.\nAnswer: q**(41\/714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f = -19772 + 37726. List the prime factors of f.\nAnswer: 2, 47, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 60 + 1130?\nAnswer: 1190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2402 + 2402 + a**3.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide 67364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 0.4, -2, 3\/8, -2\/365?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*x - 3*s - s + 16 = 0, 0 = -2*x - 4*s + 12. Suppose 3*l + 2*a = 22, 3*l - 10 = 3*a + x. Let -l*m - 2*m**3 + 6*m = 0. Calculate m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4325 (base 6) in base 11?\nAnswer: -81a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a = 436.9 + -437. Are a and -2671 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 153 or 13256\/87?\nAnswer: 13256\/87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 1, t: 1, i: 1, q: 1, k: 1}. What is prob of picking 1 i and 1 q?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 53.6258 rounded to 1 dp?\nAnswer: 53.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 33114955691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -699 - 719 - 712 + 424*d + 2130.\nAnswer: 424*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = 3*j**3 + 348*j**2 - 1442*j - 231. What is a(-120)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 797076627?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z = 44.37 - 57.37. Sort -6, -8\/15, z in descending order.\nAnswer: -8\/15, -6, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -24, -3, -31, 5, -1.\nAnswer: -31, -24, -3, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = 3*g**2 + 11*g + 1. Let m be b(-4). Solve 6 = -m*k - 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = t + 3*c, 5*t - 11 = 2*t - 4*c. Let h = 0 + t. Let g(m) = 15*m - 8. Let k(u) = 8*u - 4. Let y(j) = -6*g(j) + 11*k(j). What is y(h)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5772066.\nAnswer: 2, 3, 962011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = d**3 + 5*d**2 - 2*d - 21. Let y be z(-4). Solve 5*k - y*h = -22, -2*h = -3*k - 2*k - 18 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 717521 is divided by 24741?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 13*y = 6*y + 7 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8532675?\nAnswer: 3, 5, 12641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 0.007474178 rounded to 6 decimal places?\nAnswer: 0.007474","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -17359 - 2?\nAnswer: -17361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-3200)\/(-1024) + (-1)\/8. Factor 15*v**2 + k + 51\/4*v + 3*v**3.\nAnswer: 3*(v + 4)*(2*v + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*q = -10*q - 144. Calculate the greatest common factor of q and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-22)\/(-9)*-3)\/(144\/(-216))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = -14*i**3 + 11*i**2 + 11*i - 33. Let u(q) = q**3 + q**2 + q - 3. Determine -2*n(z) + 22*u(z).\nAnswer: 50*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z be (2\/8 - 2) + (-14119)\/(-4). Calculate the greatest common divisor of 72 and z.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -35177 by 330.\nAnswer: -35177\/330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 10602337 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} {"text":"Question: Suppose -11*t = -9*t - 354. Calculate the remainder when t is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 80 divide 30878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {o: 1, m: 3}. Give prob of picking 2 m.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = 3*i**2 - 7*i + 5. Let f(v) = -v**3 - 16*v**2 - 13*v + 38. Let n be f(-15). Is 21 a factor of k(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 101 minutes before 8:32 PM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -29194 = -3*z - 4*b, -11*z + 9*z + 19461 = 3*b. What is the thousands digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 380908 divided by -95227.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 155545?\nAnswer: 5, 13, 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17 + 173 = 2*u. Find the common denominator of 2\/2 + u\/(-12) and -105\/22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -206*n**3*s*x**3 - 601*n**3*s*x**2 + 10*n*s*x**3 + 210*n*s - 11*n*x - 2*s*x**2 wrt n?\nAnswer: -1236*n*s*x**3 - 3606*n*s*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth biggest value? (a) -4 (b) -1.34 (c) -0.058 (d) 0.5 (e) -8 (f) -12\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 303175130?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*i - 16 - 6 = 0. Let w be 0 - (-4 - i) - (0 + 1). Solve -7 = -2*h - w for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -18 - -2dda377?\nAnswer: 2dda35e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = 4*u**3 + 16*u**2 + 5. Let h(c) = 8*c**3 + 31*c**2 + 9. What is -3*h(w) + 5*l(w)?\nAnswer: -4*w**3 - 13*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) = v**2 - 4*v - 5. Let t be c(-2). Suppose t - 43 = -2*q. Suppose -1905 = -21*o + q*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (-2)\/(-8) - (-142)\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 919 - (5 + -14 - -4). Suppose 0 = -16*a + 23*a - l. What is the least common multiple of a and 96?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = -2*k**3 - k**2 + 45*k - 74. What is d(0)?\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*o + 5*l - 2*l + 63, 0 = 4*o - 2*l - 78. Suppose 0 = -7*z + 94 + o. Solve -25 = z*w - 21*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -12 + 0. Let r = 8011 + -16023\/2. Which is the nearest to n? (a) 5 (b) r (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -9 + 11. Suppose 0*s - 4 = -2*s. Are y and s unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.77? (a) -2\/15 (b) 0 (c) -0.2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*x - 11 = t, -9*t - 30 = -4*t - 3*t - 4*x for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 249455 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -1187, -3863, -8385, -14753, -22967?\n\"Answer: -923*u**2 + 93*u - 357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v = 270447 - 1081761\/4. Factor 27 + v*o - 3\/4*o**2.\nAnswer: -3*(o - 12)*(o + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -18 + 22. Suppose 3*z + 10 = -8. List the prime factors of (28\/(-3))\/(i\/z).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 377 and 551?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(432)*5*1)\/((-2*sqrt(160)\/sqrt(5))\/sqrt(8)) + -5.\nAnswer: -15*sqrt(3) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {e: 3, y: 5, w: 6, p: 3}. What is prob of picking 3 e?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 3 and 138?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) be the third derivative of -q**6\/120 - q**5\/10 + q**4\/24 + q**3\/6 - 30*q**2. Give l(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1436 a multiple of 204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express (1 - 1 - 1)*(-z**2 - z - 26*z - 10*z) as w*z**2 + n*z + a and give n.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*z + 2*z - 3*j + 13, -2*z = 4*j - 10. Let h(d) = 24*d. Let b(f) = f. Determine z*h(s) + 20*b(s).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-6)\/(-1))\/(5 - 3). Let q(t) be the third derivative of 0 + 0*t - 1\/3*t**m + 1\/12*t**4 + t**2. Differentiate q(w) with respect to w.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 q and 1 v when two letters picked without replacement from {b: 3, f: 3, v: 6, q: 1, k: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 128730?\nAnswer: 2, 3, 5, 7, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Divide -38203 by -11.\nAnswer: 3473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 13*4\/(-16)*(81 + -89 + 4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -15979*t - 2 - 16050*t + 48066*t - 15890*t.\nAnswer: 147*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Determine i, given that -2*i**4 + 40*i**3 + 96*i**2 - 160*i - 352 = 0.\nAnswer: -2, 2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -58*n**3*p - n**3 + 13*n**2*p + 3*p - 1177 wrt p?\nAnswer: -58*n**3 + 13*n**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = 2*f**2 + 8*f + 11. Let h = -756 + 750. Give r(h).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*sqrt(528)\/sqrt(12) - sqrt(44))\/sqrt(4) + 3*(-4 + sqrt(11))*-3 + 5.\nAnswer: -4*sqrt(11) + 41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -k + 5701 + 6*k - 2*k - 5701.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = -a**2 - 2*a - 4. Let d be p(-4). Let i = d + 10. Let m(s) = -2*s - 4. Let z be m(-4). Sort z, i, 5 in decreasing order.\nAnswer: 5, z, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 121751, 241880, 362009, 482138, 602267, 722396?\n\"Answer: 120129*v + 1622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) be the second derivative of r**5\/20 - 2*r**4\/3 - 7*r**3\/2 - 5*r**2\/2 - 405*r. Determine n(10).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -35*y**2 + 27 + 85 - 11 + 9 in the form j*y + i*y**2 + m and give i.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Multiply -4 and 1509.\nAnswer: -6036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6293469 is divided by 7168?\nAnswer: 7133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((k*k*k**4*k*k)\/k)\/(k\/(k\/k**(-3\/4))))**27 assuming k is positive.\nAnswer: k**(837\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 10472348?\nAnswer: 2, 373, 7019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Add 4.4013281 and -5.\nAnswer: -0.5986719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 3*b**2 - 35524*b*h**3 - 334*h**3 - 1513*h wrt b.\nAnswer: 6*b - 35524*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 55 a factor of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2)\/44*48\/360*30.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**(-4\/17))**(-19)\/(h**(-11\/5)\/(h**(-2)*h)) assuming h is positive.\nAnswer: h**(482\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i = -6638\/7 - -948. Let d = -290.5 + 290. Which is the second smallest value? (a) i (b) d (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) be the second derivative of -1\/20*j**5 - 14*j + 1\/6*j**3 - 1\/2*j**2 + 0 + 1\/3*j**4. What is y(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + (5*(sqrt(136) - 1*sqrt(136)*-2))\/(sqrt(16)\/sqrt(8) + -1*sqrt(32)\/sqrt(4)).\nAnswer: -30*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence vx when two letters picked without replacement from ivqhqhvdqvdvvdqdvx.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 29166109 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t**3 + 315*t**2 - 834*t - 8568 = 0. What is t?\nAnswer: -4, 7, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**(1\/11))**(-21\/2) assuming n is positive.\nAnswer: n**(-21\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = -f**2 + 14*f - 5. Give b(10).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (-5)\/(-300)*10 - 24467\/(-6).\nAnswer: 2, 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1337 = 3*q - 5*o, 0 = 2*q - 5*o + 234 - 1127. Suppose y + 843 = 2*t, -t + y = -q + 25. List the prime factors of t.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 441\/19 or 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 103\/2810 and 29\/413913.\nAnswer: 4139130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Total of -43.6 and -82516170.\nAnswer: -82516213.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 49020 and 120?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 65, 130, 197, 266, 337?\nAnswer: 410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = 15*q. Let h be 2\/4*20\/2*1. Let g(z) = -12*z + h*z + 7*z + 2*z**2. Determine y(g(w)).\nAnswer: 30*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -1017*x + 1012*x + 76 = 4*f, -2 = -f + 3*x for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 9291268*r**3 + 12*r**2 - 453076212.\nAnswer: 27873804*r**2 + 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -2\/3, 0.1184, -1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2155474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -1 minus 8?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d = -2.8252 - 0.0048. Let f = d - -2.63. Put f, -2, 0.2, 10 in increasing order.\nAnswer: -2, f, 0.2, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3 (base 10) in base 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:28 AM and 10:23 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*sqrt(70)*2*3*-3)\/(((1*sqrt(360))\/sqrt(12))\/sqrt(3)*6).\nAnswer: 15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 970 times -1183604\nAnswer: -1148095880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*(2*sqrt(110) - sqrt(110)) - sqrt(110))\/(sqrt(90)\/sqrt(36)).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from llikf. Give prob of sequence flik.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 1935, 6936, 15263, 26910, 41871?\n\"Answer: -r**3 + 1669*r**2 + r + 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in -2\/21, 29, 36, -1, -6, -0.01?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 74 - (21 + 17 + -24 - (4 + 11))?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = v**3 + 13*v**2 - v + 7. Let k(m) = m**2 - m - 1. Let y(s) = 2*k(s) - w(s). Let h be y(-11). Solve z = 7 - h for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ssg when three letters picked without replacement from {j: 2, g: 1, s: 1, w: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 e and 1 f when three letters picked without replacement from {a: 1, e: 5, y: 2, f: 1}.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = 2*h**3 - 3*h**3 + 4*h**3 - 5 + 3 + 2*h. Let x(f) = -4*f + 16*f**3 + 11*f - 7 - 6*f**3. What is -7*r(z) + 2*x(z)?\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = 5 - 3 + 0*j**3 + j - j**3. Let c be b(0). Let t(u) = -4*u**c + u**2 + 4*u**2. Let f(x) = -3*x**2. What is t(f(w))?\nAnswer: 9*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b = -998 + 1036. Is b less than 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n = 353690 - 353690.6400088. Let w = -31 + 31.64. Let b = w + n. What is b rounded to 6 decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**(-2\/5))**(-27\/7)*q**(-2\/3)*(q**(-4)*q)\/q assuming q is positive.\nAnswer: q**(-328\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.03*-0.02403.\nAnswer: -0.0007209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j = -3869 - -3850.4. What is the closest to j in -4, 0.03, 0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1086?\nAnswer: 2, 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -26 - -34401162?\nAnswer: 34401134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*r - 3*r + r)*(-4 + 10*r + 4).\nAnswer: 10*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z = 601 - 4211\/7. Let f be -2 - (2 - 0)*-1. Suppose f = t + 3*x + 18, 5*t + 0*x + 5*x = -100. Which is the nearest to t? (a) z (b) 0.1 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 - ((1 - (1 - 1)) + 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in -5033, -5095, -5205, -5369, -5593?\nAnswer: -5883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Round -269.7662 to the nearest 10.\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = -2*b**2 + 53*b - 402. Give n(17).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-2)\/3)\/(8\/24)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 3512, 3544, 3586, 3638, 3700, 3772, 3854?\nAnswer: 3946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o - 16 = -b, b + 6*o = 2*o + 16. Suppose 0 = 2*g + 10, 3*g + 0*g + 109 = i. Calculate the remainder when i is divided by b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = -71756*a + 22*a**2 + 71756*a. Let q(k) = k**2 - 5*k - 5. Let o(t) = t + 1. Let x(d) = -5*o(d) - q(d). Determine c(x(y)).\nAnswer: 22*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 78957561?\nAnswer: 3, 3659, 7193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*a**5 + 85*a**4 + 177*a**3 + 115*a**2 + 19*a = 0.\nAnswer: -19, -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = 5*p + 4*p + p - 9*p. Let a(l) = -89*l**2. Give a(r(n)).\nAnswer: -89*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1134 and 30898.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = o**2 + 130*o - 5296. Calculate a(33).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c + 88776662 = -4*l + 20096660, 17170002 = -l - 2*c. What is l rounded to the nearest one million?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = -4*t. Let j(m) = -m. Let w(d) = 7*j(d) - 2*r(d). Let v(u) = 114 - 114 - 2*u**2. Give w(v(q)).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7261003 divided by 8.\nAnswer: 7261003\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 24180119 to the power of 1\/2, to the nearest integer?\nAnswer: 4917","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 23410669 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1417\/616 - 1\/56. Let f be (-3)\/(-7)*(-389613)\/42. Let o = f + 3984. What is the common denominator of p and o?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = -b**2 + 1. Let w = 170 + -339. Let a = w - -170. Let h(u) = -4*u**2 + 3. What is a*h(q) - 3*d(q)?\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 0.3 + 286.02488109?\nAnswer: 286.32488109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1486 divided by -743.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 62 and 12.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*l + 28 - 8. Let g = l - -3. Find the common denominator of -1 - g\/(20\/26) and -67\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-19*i + 4*i - 47 + 13*i)*(-4*i + 4*i + 2*i).\nAnswer: -4*i**2 - 94*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 78088763?\nAnswer: 113, 691051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*t - 3*f + 0*f = -534, 5*f - 120 = t. Let n = -155 - t. Let y = n + 51. Let p(k) = 3*k**3 - k. What is p(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 12\/(-1)*1\/(-3). Let j = 46 + -10. Suppose -u*m = -5*n - 105, 0 = 2*m - m + 2*n - j. What is the greatest common divisor of 6 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 38.6 + -39. Let h = -0.1 - 0.1. Which is the nearest to -0.1? (a) u (b) 3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 2\/((1\/(-6))\/(3\/(-6))). Calculate the highest common divisor of 354 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 88\/198*(-5)\/1236. Let i = s + 67726\/30591. Find the common denominator of i and (-7 - 376\/24)*(-1)\/22.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 82\/111 - 81214\/109335. Which is smaller: 1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:48 PM and 1:42 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 110001111001000001 (base 2) to base 5\nAnswer: 23014403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate (60\/(-25))\/(56\/20).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1485?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) be the first derivative of -r**2 - 12*r - 4. Let i be w(-8). Let s be (-1)\/(-3) + (-8)\/(-3). Solve s*d + i + 2 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -6 + (-80)\/(-14) - (-6 + 6)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + -4*sqrt(2)*-1 + -6*sqrt(96)\/sqrt(12) - 5*(sqrt(72) + -3 + (sqrt(72) - (sqrt(72) + 2)) + sqrt(72) + 4)**2.\nAnswer: -1440 + 112*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence gwg when three letters picked without replacement from {g: 12, w: 7}.\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (75*a**2 - 4 + 0 - 74*a**2)*(-3*a + 3*a + 5*a).\nAnswer: 5*a**3 - 20*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 4\/9*d**2 + 4\/9*d**3 - 2\/3*d + 2\/9 + 2\/9*d**5 - 2\/3*d**4 = 0 for d.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -10*t + 13*t - 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 2061 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*h - 3*h + 6*h)*(-8 + 4 - 5) - h + 0*h + 0*h + (1 - 2*h - 1)*(0 - 2 + 0).\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 8502 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) be the first derivative of a**4\/4 + 7*a**3 - a**2\/2 - 13*a + 35. Let m be b(-21). Solve -5 + m = -p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {g: 9, s: 10}. What is prob of picking 2 s?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i - 2*f - 8 = 0, -i - 2*f - 2 = 2*f. Suppose 2*c - 36 = -i*c. Let x be ((-6)\/(-2))\/(c\/15). Put -1, x, 0 in decreasing order.\nAnswer: x, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1256*s + 2 - 3 + 1.\nAnswer: 1256*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Round -0.03240301708 to three dps.\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = -124*u + 413*u - 136*u - 140*u. Let l(m) = -5*m - 11*m - m + 15*m. Give l(i(r)).\nAnswer: -26*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 892.\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v be 2\/6*(7 - 1). Let r be 3\/(1\/1*3). Let m = r - -3. Put 0, v, m in ascending order.\nAnswer: 0, v, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from axa. Give prob of sequence aax.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence bw when two letters picked without replacement from {b: 3, y: 1, w: 5}.\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Put 3, 1, -9373 in increasing order.\nAnswer: -9373, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:35 AM and 10:46 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a - 3*i = 19, 38 - 3 = 5*a - 5*i. Suppose 0*f - 5*f + 38 = -3*v, -8 = -f + v. Let j(d) = -f*d**2 + 0*d**a + 8*d**2. Let h(o) = -3*o - 6. Give j(h(l)).\nAnswer: 9*l**2 + 36*l + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**(-3)\/v**(-2\/19)*(v*v**1)\/v**(-1\/4))\/(((v**(1\/19)\/v*v*v)\/v)\/((v*v**(1\/4))\/v))**(5\/7) assuming v is positive.\nAnswer: v**(-67\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 2 (b) 5 (c) 1585 (d) -2\/3 (e) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -387280 divided by -77456.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-9)\/6*(-80)\/15. Calculate the common denominator of -1\/8 and (-356)\/k*(-3)\/48.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) be the first derivative of 3\/10*j**5 - 15 + 1\/2*j**2 - 1\/3*j**3 + 0*j**4 + 15*j. Let m(g) be the first derivative of z(g). Determine m(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/3, 300, -4, -1\/2, -0.2, 445 in increasing order.\nAnswer: -4, -1\/2, -0.2, 1\/3, 300, 445","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:35 PM and 9:31 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 0 (base 8) in base 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 4\/(-30)*(72\/(-384))\/((-51)\/(-34))*-70\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 619305678?\nAnswer: 2, 3, 211, 163061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Multiply -19.76 and 0.2.\nAnswer: -3.952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -15*g - 71*g + 2496 = 690 for g.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 19, 1, -2, -1, 4, 172432 in decreasing order.\nAnswer: 172432, 19, 4, 1, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k - 4 = 4*n, -4*k - n + 1 + 12 = 0. Let p = -0.7 + -0.3. Let j = p - 0. What is the third biggest value in k, -3, j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 46319.\nAnswer: 7, 13, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + (6*(2*sqrt(2448) + (sqrt(119) - (sqrt(119) + (sqrt(119)*2 - sqrt(119))))\/sqrt(7) + 5) + 1)**2.\nAnswer: 8556*sqrt(17) + 324710","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -0.2 less than -0.1933?\nAnswer: 0.0067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d = -105.49 - -106. Let s = -11.51 + d. Which is smaller: -0.1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1589\/2 - -3179\/4. Let k = 1280\/77 + -186\/11. What is the nearest to k in 3, y, 0.3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.5? (a) 0.3 (b) 919\/6 (c) -0.1 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = m**3 + 8*m**2 + 9*m + 3. Let x be p(-7). Suppose -8*g = 2*g + 60. Let v = g - x. Sort -4, v, -1, 2 in descending order.\nAnswer: v, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 223\/3 - 74. Let k be (-1 + 2\/4)*-4. Suppose 4*d - k*d - 6 = 0. What is the biggest value in 5, d, g?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose k = -26 + 29, 2*k = -3*y + 17574. What is the hundreds digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1802230 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 148506.\nAnswer: 2, 3, 53, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 1042819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = -15*t**2 + 12*t + 13. Let d(p) = -7*p**2 + 6*p + 6. Let f(s) = 13*d(s) - 6*u(s). List the prime factors of f(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -141*f - 361*f + 814*f as h + w*f and give w.\nAnswer: 312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -17*s + 25*s - 10*s - 236 + 236.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is next in 119, 235, 351, 467, 583, 699?\nAnswer: 815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 3 in -7\/160, 4, -15.64?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 2\/5, 2, 5, -1.19117?\nAnswer: -1.19117","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 200333911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 5*t**3 - 3*t**2*y**2 + 44*t**2*y - 6553*t*y + 2*y**2 wrt t.\nAnswer: 30*t - 6*y**2 + 88*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = -g**2 + 24*g + 115. Suppose 0 = x + 4*j - 5, 0*x - 4*x - 4*j + 20 = 0. Calculate the remainder when x is divided by y(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 12622, 100936, 340646, 807448, 1577038?\nAnswer: 2725112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f = -5 + 5.06. What is the third biggest value in f, 0.3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 19929, 39853, 59747, 79599, 99397?\nAnswer: 119129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 5*g*p*u**3 - 398*g*u**3 + 3*p*u**3 - 105*p*u**2 - 2*u**3 wrt g.\nAnswer: 5*p*u**3 - 398*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Divide -50295 by -35.\nAnswer: 1437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify s\/s**(2\/7)*(s*s**5)\/s*s**(3\/10)\/(s\/s**3) assuming s is positive.\nAnswer: s**(561\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Put 0.3, -16, 2, -1 in descending order.\nAnswer: 2, 0.3, -1, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) be the first derivative of -o**8\/1848 - o**7\/1155 + o**6\/660 + o**5\/330 + o**2\/2 + 1. Let f(k) be the second derivative of h(k). Factor f(n).\nAnswer: -2*n**2*(n - 1)*(n + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 903547 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 1388, 11, -15, 8.\nAnswer: -15, -1, 8, 11, 1388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Determine p, given that 2*p**2\/3 + 160*p\/3 + 608\/3 = 0.\nAnswer: -76, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 578190763 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence jxjj when four letters picked without replacement from xxjxxjxxxx?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = -102*m**3 + 3*m**2 + 80*m + 419. List the prime factors of c(-6).\nAnswer: 22079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = 0*l - 3*l - l + 3*l. Let w(x) be the second derivative of x**3\/6 - 35*x**2\/2 + 4768*x + 1. Give q(w(i)).\nAnswer: -i + 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 25\/2 of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -73, -74, -75, -76, -77, -78?\n\"Answer: -p - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 822394838 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p be 10\/8*(43 - -1). Suppose -i = -2*i + p. Let r be -2*1*22\/(-4). Calculate the highest common factor of r and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*s = 2*z + 11, -132*s = 6*z - 149*s + 65 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x = -270 - -480. Suppose 57*s = 50*s + x. Calculate the least common multiple of s and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = -40*s - 3. Calculate the remainder when l(-2) is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -1931 * 0.3.\nAnswer: -579.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:45 PM and 8:36 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1611020\/63 - -25571. What is the common denominator of 125\/54 and c?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 11343?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 6\/5 (b) 5794 (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m = 162 + -161. What is the closest to 0 in m, -3\/5, -2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: (-79)\/(-158)*12\/(-15)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express (-2 + 0 + 0)*(-137*i + 106*i - 77*i) as v + b*i and give b.\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -1 divided by 99?\nAnswer: -1\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g = 76 + 181. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -70, -129, -178, -217, -246?\nAnswer: -265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 291 and 3.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from cppcppptuppzpczppcdc. What is prob of sequence zp?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) be the first derivative of -u**7\/420 - u**6\/120 - u**5\/120 + u**3\/3 + 36. Let k(d) be the third derivative of j(d). Determine k(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((l*l\/(l*(l*l**(-1)*l)\/l))\/l*l)**(-1\/18)\/(l**(1\/4)\/(l*l\/((l**0\/l*l)\/l*l)*l)))\/(l**(-5\/2)*l*l\/l**(7\/4)*l*(l**0)**19) assuming l is positive.\nAnswer: l**(71\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose h = 5*g - 62, -2*h - 4*g = 2*h + 200. Calculate the remainder when 32 is divided by (-238)\/(-26) - (-8)\/h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 3\/(-2 + -1) + 1. Let p = s - -1. Find the first derivative of -3*c + 0 + 5*c - p wrt c.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 1 - -c40?\nAnswer: c41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-one quarters of a decade in months?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -95145*d = -95147*d + 5*z + 31, -5*d - 35*z = -125 for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*r**2 - 104*r + 1352.\nAnswer: 2*(r - 26)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 744116518.\nAnswer: 2, 191, 193, 10093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = -b**3 - 9*b**2 - 2*b - 12. Let g be w(-9). Let m be (g*(-1 - -2))\/2. List the prime factors of (14\/m)\/(2\/3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1515466116 to the nearest integer?\nAnswer: 1149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Subtract 0.09460112 from 1.\nAnswer: 0.90539888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: ((-5)\/10)\/((-45)\/156420*22)\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-1)\/(-2*4\/(-16)). Suppose -4*g = 0, -g - g + 3 = -3*q. Put q, a, 1 in increasing order.\nAnswer: a, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3109359?\nAnswer: 3, 11, 59, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000005752 rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 10355 times 24?\nAnswer: 248520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 4859729 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 134 (base 5) in base 2?\nAnswer: 101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:23 PM and 5:23 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express (-1 + 0 - 2)*(-2*g - 2*g + 3*g) - 361*g - 386 + 48 + 359*g + 2*g + 0*g - 4*g in the form y*g + c and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) be the second derivative of m**5\/4 - 7*m**4\/36 - m**3\/9 - 43*m - 1. Determine s so that b(s) = 0.\nAnswer: -1\/5, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2)\/3*78\/(-182)*1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 133 (base 6) in base 7?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = a**2 - 3. Let f(p) = -2*p**2 + 7. Let t(b) = -3*f(b) - 7*j(b). Let y(m) be the first derivative of 4\/3*m**3 + 0*m**2 - 3 + 0*m. Calculate t(y(h)).\nAnswer: -16*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide 773820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*q - 11*q = -510. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) be the third derivative of a**4\/24 - 3*a**2. Let t be n(-4). Let s(j) = 4*j**2 + 5*j + 9. What is the tens digit of s(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (6\/4)\/((-3)\/(-4)). Suppose 3*c - 1 = g. Solve 3*b + 4 = c for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.7218876ng to micrograms.\nAnswer: 0.0007218876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = -p**2 + 32*p + 4. Let h be v(8). Let w = h + -1352\/7. Factor -w - 16\/7*t + 4\/7*t**2.\nAnswer: 4*(t - 5)*(t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 13773 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -0.4 (b) 485 (c) 0.336 (d) 1 (e) 14 (f) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f = -20.995 - 0.005. Let t = f - -19.75. Let j = 0.25 + t. Which is the nearest to 3? (a) -5 (b) j (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 185*k - 13622 = -55*k - 38*k for k.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 153444 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q = -843 - -843.000000282. Round q to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (s - 2*s + 0*s)*(2*s - 2*s + s**3) + (5 + 1 - 4)*(0*s**4 - 2*s**4 + 4*s**4) as z + n*s**3 + g*s + f*s**4 + c*s**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 116339 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10*x**3 - 2 + 257*x**3 + 2.\nAnswer: 267*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 7047600 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*p - 53*p = -15*p - 615 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -78*p = -2299 + 1051 for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 54 = 13*k - 10*k. Let x = k + -16. Suppose 2*o - 75 = -t, x*t + 3*o - 38 = 113. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 58 and 21634.\nAnswer: 21634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Add -0.3 and -53540802.\nAnswer: -53540802.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 2.728788 rounded to two decimal places?\nAnswer: 2.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -3331181 or -3331174?\nAnswer: -3331174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = a**3 - 5*a**2 - a + 22. Let f be l(5). What is the remainder when 72 is divided by (f - 1) + (1 - 2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 10903259 to the power of 1\/2, to the nearest integer?\nAnswer: 3302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-1 - 1)\/((-5)\/310). Suppose -123*v = -c*v + 226. Is v a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -4\/11 bigger than 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express 1142*w**2 + 2*w - 2286*w**2 + 689 - w + 1143*w**2 as m + v*w**2 + n*w and give m.\nAnswer: 689","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 69*i = -3*n + 65*i - 14, 3*n - 26 = -0*i + 4*i for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(308) + (sqrt(308) - 1*sqrt(308))*5 + sqrt(308))\/sqrt(7) + 2 + 0)*-1*2.\nAnswer: -8*sqrt(11) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 1\/10 of a millimeter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence rro when three letters picked without replacement from rrrrroororrrrrrrroor?\nAnswer: 35\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(33)\/((sqrt(33)*-1)\/sqrt(11)))**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -59, -324, -757, -1352, -2103, -3004, -4049?\nAnswer: -5232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 54717 in 10.92, -1, 3?\nAnswer: 10.92","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose n = -3*n + 180. Suppose 5*f - 5*y = -n, 0*y - y = -1. Let x be f\/(-12) - (-4)\/(-6). Solve 0 = -x*s + 2*s + 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = -3*r**2 + 16*r + 71. Give k(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 260, 256, 234, 182, 88, -60, -274?\n\"Answer: -2*f**3 + 3*f**2 + f + 258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 8622191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*sqrt(21)\/sqrt(3) + -2.\nAnswer: -sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) 1.2 (b) 15\/11 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = 4 - 2*z + 4*z**2 + 0*z**3 - 6 - z**3 + 0. Let y be v(2). What is the units digit of (-1)\/(y - 105\/51)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-6)\/24*4)\/((-4)\/(-6))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 8182 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*u - 4 = 5*v, 2*v - 2*u + 610 = 602 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 5 in -0.4, -87\/37, 4, -1\/4, 5\/22, -24?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 4e + -1b51b?\nAnswer: -1b4bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Divide 7552688 by 171652.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -565546, -1131169, -1696792, -2262415?\nAnswer: -2828038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k = 2193.8 + -2151. Let j = 18 - -25. Let s = k - j. What is the third biggest value in 3\/7, s, -2\/17, 3?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 542 - 734. List the prime factors of (r\/(-30))\/(10\/125).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 1083.7785 milliseconds to minutes.\nAnswer: 0.018062975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.297 - -5.108. What is m rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 20.8767 and -0.02?\nAnswer: -0.417534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 4 (b) -3 (c) 1\/16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Express -296 + 296 - 12*q**3 + (0*q - q + 2*q)*(3*q**2 + 21*q - 21*q) + 8*q**3 - 3*q**3 - 3*q**3 as o*q**2 + g*q**3 + w + y*q and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = -171*q**2 - 36*q - 13. Determine f(-1).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3*b - 1 + 1)*(-3*b + 1 + 10*b - 5*b) to the form m + z*b + l*b**2 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = 5*c - 101. What is the remainder when 11 is divided by k(21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -1567\/8 - -3221\/16. Find the common denominator of u and 61\/676.\nAnswer: 2704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -212*u**3*v**4 + 2*u**3*v**2 + 24*u**3*v - 47*u*v**4 + 2*v**3 - 153*v wrt v.\nAnswer: -5088*u**3*v - 1128*u*v + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y = 2*s + 4429, -s = -3*y - 4*s + 4434. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6127070.8 rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = a**3 - a + 1. Let x be s(0). Let l be x*10 + (-6 - -5). Let c = 8 - l. Which is smaller: c or 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-24)\/44)\/((-180)\/165 - -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in -4, 0.5, 0.06?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -19 - 17 = 6*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is (-54)\/(-504)*4*4\/18?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2291 = h - 2287. Let b(m) be the first derivative of -2*m**3\/3 + 5*m - 15. Give b(h).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 32.87 - 32.98. Which is the second smallest value? (a) t (b) -7\/4 (c) 1\/4 (d) -3 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {l: 2, f: 3, g: 3, x: 1, r: 4, e: 3}. What is prob of picking 2 e and 1 l?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 11321402 + 3?\nAnswer: 11321410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = -13344*j + 160135. What is u(12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 62*y - 172 = -335 - 829 for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express -l**4 - 39*l**3 + l**4 - 16 + 3*l**4 + 2*l + 17 in the form m + x*l**2 + s*l**4 + k*l**3 + y*l and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k\/(k**(-1\/6)*k)*((k\/(k*k**(-2\/3)))\/k)\/k*(k\/k**(-1\/5))\/((k\/(k**(2\/61)*k))\/k*k))**(-18) assuming k is positive.\nAnswer: k**(-363\/305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = 3*s + 8. Let v be g(9). Suppose 5*z + h + 1 = 0, -2*h + 3*h - 5 = z. Let n be (-380)\/(z - 0) + 1 + 4. What is the greatest common factor of n and v?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanoseconds are there in 3114.601 milliseconds?\nAnswer: 3114601000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-6)\/4*(6 - -4). What are the prime factors of h\/3*(0 - 2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.08694 + 0.38694. Let l = -3.2 - -3. Which is the closest to 8\/3? (a) -4 (b) 2\/3 (c) l (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 1\/6*u**2 - 97\/2 + 145\/3*u.\nAnswer: (u - 1)*(u + 291)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -131\/23088 and -95\/6216.\nAnswer: 161616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 18146 is divided by 288.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*w + 24*w + 72 = -78 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*a**2 + 3*a**2 + 3*a**3 + (185*a**2 + 3 + 3*a - 2 - 175*a**2)*(5*a - a - 3*a).\nAnswer: 13*a**3 + 3*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Convert 100000010001 (base 2) to base 5.\nAnswer: 31230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -13420 and -0.0186?\nAnswer: 249.612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.028*-492.84.\nAnswer: -13.79952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v = 442934 - 2214669\/5. Factor 0 - 17\/5*a + v*a**2.\nAnswer: a*(a - 17)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 184 and 54188?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -10231 in 1\/6, 0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1401 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {z: 1, s: 4, l: 2, q: 2, k: 3}. Give prob of sequence zklk.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 20 + (19 - (-6 + -9 - -15)) - (4 + -17).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2163?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*n + n - 2*n)*(-2*n + 2*n + 8*n**2).\nAnswer: 24*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1848, 1980, 2350, 3078, 4284, 6088, 8610, 11970?\nAnswer: 16288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 218*n**5 + 5*n**4 - n - 4*n**4 - 414 + 168 + 0*n**4 wrt n?\nAnswer: 4360*n**3 + 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6475614626 to the power of 1\/8, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:19 PM and 8:00 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round -21.368886 to two dps.\nAnswer: -21.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from wdbppkbpwupbwp. What is prob of picking 1 k, 1 u, and 1 w?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Divide -63753 by 269.\nAnswer: -237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 13283\/1332 - 3\/(-108).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -21 + 10 = -9*f - 2*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 1\/20 of a centimeter?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 615701 and 159?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -3 times -3728094?\nAnswer: 11184282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -26.96? (a) -3\/10 (b) 189 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = 9*l**4 + 7*l**2 - 16*l. Let v(g) = 4*g**4 + 3*g**2 - 8*g. Let x(s) = 3*p(s) - 7*v(s). What is the second derivative of x(h) wrt h?\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 309632 and 137760.\nAnswer: 1312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 20329 or 20328?\nAnswer: 20328","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-38)\/(-56) - 9\/21. Which is the second smallest value? (a) f (b) -0.5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 1637\/860 + -39\/20. Let u = z - 166\/129. Which is the second biggest value? (a) u (b) -0.5 (c) 1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find m, given that 2*m**4\/11 - 428*m**3\/11 - 90478*m**2\/11 - 3744768*m\/11 - 13559328\/11 = 0.\nAnswer: -69, -4, 356","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = -15*x - 214. Determine n(-14).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of ((-35)\/(-2))\/((-3)\/(-6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -1 (b) 2\/371 (c) 1\/3 (d) -1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(38)\/(sqrt(8)\/sqrt(4)) + (sqrt(19) - sqrt(475)*3).\nAnswer: -13*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 166 minutes after 7:45 PM?\nAnswer: 10:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -23*p + 95 = -8737. Does 48 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 48.04236 centuries to millennia.\nAnswer: 4.804236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 1389422 to the power of 1\/3, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Product of 142 and -1.6.\nAnswer: -227.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-92)\/16*100\/25.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 112 + -101313001331?\nAnswer: -101313001213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 506480928*t*x**5 - 2*t + 20*x**2 - 2171347 wrt x.\nAnswer: 30388855680*t*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 13612756?\nAnswer: 2, 569, 5981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 337 minutes after 8:50 AM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) 0.4 (c) -57 (d) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 6186, 12325, 18412, 24447?\n\"Answer: -26*p**2 + 6217*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in 9465, 9498, 9527, 9546, 9549, 9530, 9483?\nAnswer: 9402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) be the third derivative of l**4\/12 - 11*l**3\/6 - 13*l**2. Calculate the remainder when 99 is divided by n(14).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -140491*b**2*j**2 - 5416*b*j**2 - 14*b wrt b?\nAnswer: -280982*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-20)\/90 - 22\/(-18). What is the units digit of (-8)\/(3 - 3 - x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 8940 is divided by 358?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = 16880*r + 4165. Is s(48) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0.7 - 1. Let b = 0 - -2. Suppose -b*u - p = 2*p + 21, 28 = -u - 5*p. Put 0, d, u in decreasing order.\nAnswer: 0, d, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00036821 to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -1 (b) 35 (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Determine v so that -v**2\/11 + 25*v\/11 - 24\/11 = 0.\nAnswer: 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:44 PM and 8:21 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r = 6 - 6. Suppose -5*g + 15 = -r*g. Suppose -2*z + 122 = 2*o - 5*z, g*o = z + 190. Does 32 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -r - 3*s = -10 + 2, -6 = -5*r + 2*s for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -48 + (38 - 5) + 2 + 10 + (-2 - 3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-3 - -25)*-3 - (3 + 0). Let j = 689\/10 + u. Let y be 1\/20 - 1\/4. Which is the nearest to -1? (a) 0.4 (b) j (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 491626 and 883002?\nAnswer: 541280226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b + 0*z = -3*z - 6, 3 = -z. Is b\/((-3)\/(-747)*-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of -6656 and 2.\nAnswer: -6654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -3 or -55050?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 205, 424, 621, 784, 901, 960, 949, 856?\nAnswer: 669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0284518687 to 5 dps.\nAnswer: -0.02845","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = h - 6. Let l be z(7). Let a be l\/(-4) + 11\/44. Are a and -5\/8 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 578 minutes before 2:21 PM?\nAnswer: 4:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: (-32)\/20*(30\/(-12))\/(2\/1)*-2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = -23*n**2 - 15*n + 5. Give u(-3).\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 665253.9ng in kilograms?\nAnswer: 0.0000006652539","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 56 is divided by 22.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v = -3 - -3. Suppose v = 2*y - 5*y + 9. Let h be 1\/(25\/10)*(7 - 2). Solve 0 = -k + 3*i + 11, -h = y*k + 5*i + 7 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose f = 3*f - 28. Suppose -3*h + 35 = f. Suppose n - 2*u - 3 - 12 = 0, -2*n = -3*u - 28. Calculate the smallest common multiple of n and h.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = -t**2 + 3*t + 56. Let j be r(8). Suppose -q - 1 = 0, 5*l - 4*q + q = 23. Solve -8 + j = -l*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*t + 1164 = 10437*l - 10446*l, -361 = 4*t + 5*l + 314 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -408913*j**2 + 31*j - 3191 wrt j.\nAnswer: -817826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0641 rounded to 3 decimal places?\nAnswer: -0.064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o = -11961 + 11911. Suppose -2*z = -z - 50. Let c = o + z. Solve -m - 1 = -c*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = 4*a. Let w(r) be the first derivative of -3*r**2\/2 - 22. What is f(w(c))?\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Round 10584000 to the nearest 100000.\nAnswer: 10600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1930480 is divided by 222.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m = 1045773.000005 + -1045767. Let s = -6 + m. What is s rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -3 + 1. Let p = 3 + h. Let s be 2 + (-5)\/2 + 0. What is the smallest value in s, p, -2\/11?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 139*d - 138*d - 4, 4*d = -3*y + 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*j - 17 = -t, 0 = -0*t - 5*t + 25. Suppose u = 4*r - 3 - 4, j*r = 2*u + 6. Let w = -31 - -35. Sort w, u, 8 in increasing order.\nAnswer: u, w, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-1 + 0)*0\/12. Suppose c = 5*h - 7 - 3. Let o(j) = 3*j**2 - 4*j + 3. What is o(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (308\/72 - 38\/(-171))\/6?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 22912 and 1611.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j = -45*j + 15*j - 7644. Which is bigger: j or -303?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 b and 1 g when four letters picked without replacement from {t: 3, v: 1, m: 2, g: 4, l: 1, b: 4}?\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*o = 15*o - 48. What is the greatest common divisor of 4 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find p such that 4*p**3\/5 - 86304*p**2\/5 - 1036224*p\/5 = 0.\nAnswer: -12, 0, 21588","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 61\/249798 and 89\/22134.\nAnswer: 1748586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 156790, 156788, 156786?\nAnswer: 156784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m - 4 = d - 3*d, 5*d - m = 10. Suppose 7*x = d*x + 2095. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*x - 844 = -820 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = -m**3 + m**2 + m + 49. Calculate the remainder when z(0) is divided by (-172)\/(-10) - 1\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0015223 rounded to four dps?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 191843808071 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = t**2 - 2*t + 1. Let v be r(1). Suppose 26*j - 31*j + 800 = v. Let k be (-6)\/5*j\/(-24). Solve -3*d - k = 1 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = -f**3 - 7*f**2 + 7*f - 6. Let i be c(-8). Suppose 2*t + 3*h = -t - 9, -2*h = i. What is the lowest common multiple of 1 - (t - 9 - 2) and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -54 + -21?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose o + 201 = 215. Let b(d) = d**2 - 13*d - 10. Let c be b(o). Solve 0 = -23*x + 25*x - c for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (4 + -13)\/(1 + -1 + -1). Suppose -b*c + 11 = -25. Let r(i) = -4*i - 3*i**2 + c*i. Let y(h) = -19*h**2. What is r(y(s))?\nAnswer: -1083*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*o**2 + 1584660*o + 261605025 = 0.\nAnswer: -165, 317097","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 0 - ((0 - (4 - 8)) + -3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1480124?\nAnswer: 2, 47, 7873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*s + 266*w - 19 = 268*w, 4*s + 3 = -3*w for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 26.2, 124, 3?\nAnswer: 26.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 25823787 to the nearest integer?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i\/(i*i**(1\/8)*i)*i)**(-17)\/(((i**7\/i)\/i*i*i)\/i*i)**10)**(-2\/3) assuming i is positive.\nAnswer: i**(181\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 7146667 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 91 + -51 - (34 + -2)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -10990 (b) 2\/7 (c) 3\/7 (d) 1 (e) 0.1 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z = -123 + 206. Let g = 155 - z. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-8)\/8*2\/(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -56*i**5 - 2*i**3*r + i**2*r + 3*i*r - 84*r wrt i.\nAnswer: -1120*i**3 - 12*i*r + 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -8385483.645 rounded to the nearest one hundred thousand?\nAnswer: -8400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1 or 8\/13943?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 2 minutes after 12:36 AM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l = -6.6 - -6.3. Let g be -1 - -3 - -1*13. Suppose 2*d - 2*v = 2, 5*d + g = 4*v - 3*v. Which is the closest to -4? (a) -5 (b) d (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 649165, 1298422, 1947679?\nAnswer: 2596936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 11\/2 of a tonne?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 22495*-7.6\nAnswer: -170962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 44265466 to the nearest integer?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-58)\/116 + 5\/(-4)*(-14)\/(-35). Let j(a) = 9*a + 13. Give j(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.012277 - 52768.\nAnswer: -52767.987723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) be the third derivative of 5*s**8\/42 + 25*s**4\/24 + 60*s**2. Find the second derivative of x(m) wrt m.\nAnswer: 800*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 3bab - -414?\nAnswer: 4403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 11916 divided by -18\nAnswer: -662","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.3 in 0.4, -2\/17, 0.2?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h = 2.4 - 2.2. Which is the closest to h? (a) -2 (b) -3 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24*l**4 + 6*l**3 + 12*l**4 + 9*l**4 = 0. Calculate l.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2163*o**3 + 388*o**2 + 4*o?\nAnswer: 12978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1057? (a) 1 (b) 0.3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x be 1\/3*(60 + -159). Let s(k) = -k**2 - 50*k - 68. What are the prime factors of s(x)?\nAnswer: 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = 15*z. Let s(m) = -4049*m + 2013*m + 2005*m. Give 5*p(l) + 3*s(l).\nAnswer: -18*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a\/(a**(-2)*a))\/a**1*a**(-1\/4)\/(a*a\/(a\/(a\/(a*a\/(a*a\/a**7*a))))))\/(a**(-5)*a*a**1*a**(-2\/5)*a*a**(-4)) assuming a is positive.\nAnswer: a**(223\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: (33\/22)\/((-3)\/10)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1620 divided by -405.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Put -75, -5, 5\/7 in ascending order.\nAnswer: -75, -5, 5\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = -3*r - 9. Let i be u(-6). Let y be 25\/(-20) - 9\/12. List the prime factors of y\/(-9) - (-70)\/i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 121\/2 - (18\/(-4) + 3). Let v = s + -59. Suppose -12*p + 6003 = -v*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13 + 1 = -4*t. Let s(o) = 11*o**t + 1 - 6 + 4 + o + 0. What is the lowest common multiple of s(1) and 9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 23*p - 1120?\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i\/(i*i**(1\/3)))\/i)**(-2)*i**(-1\/3)\/i*(i*i**(1\/4))\/i*i assuming i is positive.\nAnswer: i**(31\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose y = 13*y - 144. Let r(h) = -h**3 + 13*h**2 - 12*h - 4. Let x be r(y). What is the units digit of (13 - 0) + 6 + x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 2533724538?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: (-3 + 1 - -11) + ((-2537)\/(-387) - 154\/99)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: ((-1)\/(-2))\/((-770)\/(-8822)) + 171\/(-570)\nAnswer: 38\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 507 minutes before 6:01 PM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 122617816042 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 737?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 1041935 to the power of 1\/3, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let n = -1699.43 + -27.57. Let o = -1712.94 - n. Let b = 14 - o. Put 2, b, -1\/9 in increasing order.\nAnswer: -1\/9, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = -n**3 - 3*n**2 + 68*n + 14. What is o(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 c and 1 e when two letters picked without replacement from edxxtetxcddtttdd?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-3)\/2*(-8)\/3. Suppose o*b - 2*p = -12, -b - 3*b = 4*p + 24. Is -2*-7*(-2)\/b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1\/1)\/(35\/140).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) be the third derivative of 2*m**3 + 17\/6*m**4 + 178*m**2 + 0 + 0*m + 3\/40*m**6 + 13\/12*m**5. Solve r(s) = 0 for s.\nAnswer: -6, -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*v**2 - 2 + 2)*(-167*v**2 + 133*v**2 + 572*v**2 + 71*v**2 + 392*v**2).\nAnswer: 3003*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 26331241 - -1?\nAnswer: 26331242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 4 a factor of 392016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express -3*n + n + 3 - 28 - 11 in the form h + i*n and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 438506 is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c be 172\/14 - (-4)\/(-14). Suppose -4*o = -w + 8 + 9, -4*o = c. Sort 0, w, 1.\nAnswer: 0, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1214?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Product of -4 and 27.8.\nAnswer: -111.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = -11*a - 142. Suppose -5*f + 3*x - 75 = 0, -3*f = 140*x - 141*x + 41. Give w(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -49*u + 47*u - 2. Let o(i) = -128*i**3 - i**2 + 2*i + 3. What is the hundreds digit of o(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3918517 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 107*h + 117*h - 331*h + 103*h.\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.05? (a) -0.6 (b) 2\/11 (c) 3 (d) -0.3 (e) 1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-323)\/374 - (-80)\/96)*(90\/4)\/(-3)?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*w = -51214*d + 51213*d + 20, 0 = -4*d - 3*w - 25 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (579\/965)\/(444\/40*2).\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is a in -4*a**4\/7 - 200*a**3\/7 + 9388*a**2\/7 + 12032*a + 18480 = 0?\nAnswer: -77, -6, -2, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} {"text":"Question: Sort 7035, -7, 0 in increasing order.\nAnswer: -7, 0, 7035","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r = -0.0925 + 629.0925. Let h = 571.4 - r. What is h rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -0.04 (b) -0.01 (c) -3 (d) -0.4 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -265591, -0.2, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 4 + (1 - 4) - -3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y = 23 + -20. Suppose 2*n = -5*b + 26, -b - n = -y*n - 10. Suppose 12 = -2*o - 5*g, -3*o - 2*g + b*g = -5. Is o greater than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i + 20*i + 1840 = 0. Let r be ((-46)\/i)\/(2\/10) + 2. Solve 2*q - r = 4*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 13134152435 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 76, 87, 100, 115, 132?\nAnswer: 151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 33803*h**3*n**2 - 1211*h**2 - 12*n**2 wrt h.\nAnswer: 202818*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = 15*j - 37. Let f be z(3). Suppose 101 = 15*u - 4. Which is greater: u or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from kbbkkvbk. Give prob of picking 1 v and 3 b.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = -3*q - 3*q - 8 + 1 - 3. Let p be r(-7). Suppose -k + 2*k - p = 0. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -15995023*s**5 + 2*s**4 - 77758*s**2 + s - 60?\nAnswer: -959701380*s**2 + 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -1aed34 (base 15) in base 3?\nAnswer: -2110212000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 249 is divided by 91.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Put together 0.065344269 and 4019393.\nAnswer: 4019393.065344269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 1 * 1236\nAnswer: 1236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -2*g**2*y**2 - 26*g**2*y + 1742*g**2 - 2*g*y - 3406*g - y**2 wrt g.\nAnswer: -4*y**2 - 52*y + 3484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-n**2 + 2*n**2 - 31 + 0*n**2)*(0 + 6 + 3)*(-5*n**2 + 3*n**2 + 4*n**2).\nAnswer: 18*n**4 - 558*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n - 6*n + 4 = 0. Let y be 2\/5 + 82\/20. Let b = -3152 - -3151.7. Put b, -2, n, y in increasing order.\nAnswer: -2, b, n, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 14485, 29255, 44025, 58795, 73565, 88335?\nAnswer: 103105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l = -213 - -222. Suppose -41220 = l*r - 161001. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = -21*d**2 - 416*d - 1136. What is v(-3)?\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find i, given that 5*i**4 - 90*i**3 + 165*i**2 - 80*i = 0.\nAnswer: 0, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let o = 148 + -145. Suppose -o + 8 = j. Solve 0 = -j*m - 3*a - 18, 2*m + 6 - 1 = a for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4478 is divided by 91.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -59\/4438 and -79\/12680?\nAnswer: 88760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 51254028 to the nearest integer?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1476*a**2 + 2917*a**2 - 1440*a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from jyjk. Give prob of picking 1 j and 1 y.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*k - 22*k = -18. Suppose -k*t + 5604 = 4*l - t, -5*l + 6992 = -4*t. What is l rounded to the nearest one hundred?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 135779351.\nAnswer: 61, 151, 14741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round -49.071 to the nearest integer.\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 2*c*f*g**3 + 5*c*f*g**2*s - 62*c*f*s + 84*c*g**3*s - 5*c*g**2 - 32*f*g**3*s - 2*f*g wrt g.\nAnswer: 12*c*f + 504*c*s - 192*f*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4932634 divided by 352331.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 481 minutes before 12:29 AM?\nAnswer: 4:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 2490302 a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(6)\/sqrt(3) + 3 + sqrt(16)\/(sqrt(64)\/sqrt(8)))**2.\nAnswer: 12*sqrt(2) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = 2*i + 18. Let t be m(-8). Let v be ((-195)\/10 - (1 + t))*-2. What is the greatest common factor of 18 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-30)\/9*(-9)\/6. Suppose -2*d - k*w = 329, 4*d - 5*d - 167 = 3*w. Let v be (3 - (d - -3))\/1. Calculate the greatest common factor of 19 and v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = -w**3 - 19*w**2 + 18*w + 42. Let m(j) = -j**3 - 19*j**2 + 19*j + 43. Let f(y) = -5*h(y) + 4*m(y). What are the prime factors of f(-19)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10*u**3 + 20*u**3 - 13*u**3.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from yzzz.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 v and 1 s when four letters picked without replacement from {s: 1, k: 8, r: 6, v: 3}?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 352704027 to the power of 1\/2, to the nearest integer?\nAnswer: 18780","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Factor 9*c**4 - 2382*c**3 + 3952*c**2 - 1842*c + 263.\nAnswer: (c - 263)*(c - 1)*(3*c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -32, -136, -190, -194, -148, -52, 94?\n\"Answer: 25*j**2 - 179*j + 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/2? (a) -4 (b) 0 (c) -32 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + ((sqrt(2) - sqrt(18)) + 0)*2.\nAnswer: -4*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 930734 and 76.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 17 a factor of 412875193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 46176 and 39072?\nAnswer: 507936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = 6*l - 5*l. Suppose -24 = l*z - 7*z. Let t be 9\/2 + (6 - z). What is the third smallest value in t, 9, -4\/7?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8477551 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -2\/3, 1, 74.1, 3, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) be the third derivative of -p**4\/24 + 2*p**3\/3 + p**2. Let m be 7 - (4 + -5 + 4). Let x be t(m). Solve i = -x*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = -21*i**4 + 2*i**2 + 7*i + 2. Let r(c) = 85*c**4 - 9*c**2 - 28*c - 9. Let b(j) = -9*o(j) - 2*r(j). Find the second derivative of b(h) wrt h.\nAnswer: 228*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*a = -2008 + 2074 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 21507?\nAnswer: 3, 67, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 344 minutes before 2:48 AM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -5\/9 and 37\/161088.\nAnswer: 483264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 26910661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from xxxxxlxxxllxxx. What is prob of sequence lll?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 21832591?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.224 + 241.776. Let y = f + -240.06. Round y to one dp.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 528 minutes after 2:53 PM?\nAnswer: 11:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate 47798*2554.\nAnswer: 122076092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((0 + ((1*sqrt(567))\/sqrt(9))\/(-2*sqrt(900) + sqrt(9)))*2*3)**2.\nAnswer: 252\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = c + 8. Calculate b(17).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 15 a factor of 1205125847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth biggest value? (a) -2\/9 (b) -16856 (c) 0.2 (d) 0.4 (e) -0.2 (f) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*-6*((0 + 0 + sqrt(1584))**2 + -3 + 2*sqrt(1584))*-4*-1.\nAnswer: 1152*sqrt(11) + 75888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 2 + 0 + (-19 - -14)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 5 + -275477?\nAnswer: -275472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (-710*v - 17*v**2 + 710*v + (0*v - 3*v + v)*(3*v - v - v) + v**2 + 2*v**2 - 5*v**2)*(2 + 6*v**3 - 4*v**3 - 4).\nAnswer: -42*v**5 + 42*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor -p**2\/6 - 1768045*p\/3 + 3536093\/2.\nAnswer: -(p - 3)*(p + 3536093)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c = 7853 - 7845. Put -57, -1, c in ascending order.\nAnswer: -57, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 20 - 19.8. Suppose 9 = 3*k, 396 = -2*w - 5*k + k. Let u = -1834\/9 - w. Which is the third smallest value? (a) 1 (b) u (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 180, 368, 556, 744, 932?\n\"Answer: 188*c - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.12, 2\/13, -4\/7, 1, -0.2 in increasing order.\nAnswer: -4\/7, -0.2, 0.12, 2\/13, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -2901, -5734, -8567?\n\"Answer: -2833*k - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 2*i**3 + 24*i**2 - 6*i**2 - 28*i**5 - i**3 wrt i.\nAnswer: -1680*i**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11421 less than or equal to 11419?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k be 2\/(-5) - (-84)\/10. Suppose 3*o - 2*v - 7 = 0, k + 2 = 2*o + 4*v. Let b(t) = t**2 + t + 4. Let i be b(0). Which is smaller: o or i?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n\/(n\/(n\/n**(1\/13))))\/n*n*n*(n\/(((n\/(n\/n**(-5\/2))*n*n*n)\/n)\/n))\/n*n*n**(4\/3)*n**(-4) assuming n is positive.\nAnswer: n**(137\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -407 or -186?\nAnswer: -407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:44 PM and 11:53 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 3199?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((-720)\/(-8))\/10 + 15. Suppose v = 3*o - 7, s*o - 4 = -5*v + 26*o. Solve g = -3*b - 2, -4*b - v = -4*g - 10 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = 2194*z + 8801. Calculate t(-4).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}