{"text":"Question: What is the cube root of 787500 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a = -37935 - -65791. List the prime factors of a.\nAnswer: 2, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of -4 and -0.1833.\nAnswer: -4.1833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = x**3 + 2*x**2 - 3*x + 4. Let z be t(-3). Suppose -3*k = 4*c - 40, 5*c + z*k = 4 + 45. Is c a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = -4*n**2 + 5*n + 3. Let v(o) = -9 - 4*o**2 + 631*o - 632*o - 2*o**3 + o**3. Let k be v(-4). Let i(h) = 4*h**2 - 4*h - 2. Calculate k*i(f) - 4*y(f).\nAnswer: -4*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1298.8 - -1299. Let q = 3.24 - 3. Let n = 10.76 + q. Put z, n, 4 in increasing order.\nAnswer: z, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*x - 14 = -k, -35*x + 40*x = -11*k + 181 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 152913838?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is (((-68)\/(-10098)*9 - 2264\/330) + 6)*80?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Convert 5906.989 days to seconds.\nAnswer: 510363849.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from rlrkrvmmrlvmrm. Give prob of sequence rvrk.\nAnswer: 5\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = -y**3 + 12*y**2 + y + 12. Calculate r(12).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = -n**2 + 30*n - 174. Let x be k(8). Suppose 0 = q - 6*q + 15. Put q, x, -16 in decreasing order.\nAnswer: q, x, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -678\/5 - -136. Let i = -123 - -123. Which is the closest to f? (a) 0.1 (b) i (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -25*l**2 + 2*l**3 + l + 23*l**2 - l as g + s*l + d*l**3 + o*l**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l = -23.08665 + 31.0872. Let j = -8 + l. Round j to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a + 0*i - 246 = -3*i, -5*i - 58 = -a. Let t = 70 - a. Sort 1, -5, t, -3 in decreasing order.\nAnswer: 1, -3, -5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = p**3 - 28*p**2 + 28*p - 27. Let y be t(27). Let s = -48 + 63. Suppose 2*x + 3*x + s = -2*w, y = 2*x + 6. Solve -2*a - 4 + 6 = w for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*((sqrt(108) + 0 - sqrt(108)) + 0 + (0 + sqrt(3) + -5 - (sqrt(12) - sqrt(192))\/sqrt(4))))**2.\nAnswer: -40*sqrt(3) + 73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 0.07 bigger than 7\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*r + 2 - 3*r + r - r**4 + r**3 to the form n*r + v*r**2 + m*r**3 + t + k*r**4 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Does 15 divide 134132703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.03 * -64.2.\nAnswer: -1.926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: (0 - (-1)\/(-6))*167\/(5344\/128)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is (-44 - (7 - 6)) + 1255 + -1124?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y - 1853 = -4*s + 9*s, 3*y = 2*s + 1868. What are the prime factors of y?\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 44216000 to the nearest 100000.\nAnswer: 44200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t = -641 + 771. What is the remainder when t is divided by 58?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in 0.3715006 minutes?\nAnswer: 22290.036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = -20*v**2. Let t be (-5 + 0)\/((-31)\/93 + 4\/30). Let m(h) be the first derivative of 1\/2*h**2 + 0*h - t. Determine l(m(b)).\nAnswer: -20*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Product of -4 and -72.21.\nAnswer: 288.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert 192.6595 hours to minutes.\nAnswer: 11559.57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -2*g**3 - 725*g**2*r - 2*g**2 - 125*g*r + 3*g + r wrt g.\nAnswer: -12*g - 1450*r - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b be -1 - -10*(-3)\/(-2). Let v = b - 0. Suppose -42 = -2*q - 2*y - v, 5*q + y - 90 = 0. Calculate the highest common factor of 57 and q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 124 = -3*v - 4*z, -v = 2*z + 19 + 19. Let t = v + 74. List the prime factors of t.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2563205 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is next in -105479, -210966, -316463, -421976, -527511, -633074?\nAnswer: -738671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 6 - (-6 + 1 + -52)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g*g*g**5*g)**27 assuming g is positive.\nAnswer: g**216","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) be the second derivative of -g**7\/378 + 29*g**6\/270 + 197*g**5\/180 + 443*g**4\/108 + 208*g**3\/27 + 70*g**2\/9 - 6*g - 30. Find n such that f(n) = 0.\nAnswer: -2, -1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.2 and 59615.\nAnswer: -11923","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*s = 5*n + 2 - 10, s = 2*n - 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 18\/5 of a gram in milligrams?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v be 3\/1 - (2\/(-2) - 312). Let o = v - 205. Differentiate 5*g**3 - 121 + o + 3*g**3 with respect to g.\nAnswer: 24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -32 = -0*h - 4*h. Let p be 118\/h + 4\/16. Suppose 0*l + l = 2*y + 1, 0 = -3*l + 3*y + p. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = -24*d**2 + 441*d - 1915. What is z(7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g\/(g**(1\/10)*g*g))**26\/(g**(-2\/7))**(1\/12) assuming g is positive.\nAnswer: g**(-6001\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Work out -5 * 15719296.\nAnswer: -78596480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*x - 3, -196 + 197 = -p - x for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 1493.777 rounded to the nearest integer?\nAnswer: 1494","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q = -2311.25 - -2311. What is the smallest value in -3, -1, q, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -5542 (base 12) in base 4?\nAnswer: -2103002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 362666 is divided by 361794.\nAnswer: 872","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -119880*g**4 + 129144*g**2 wrt g?\nAnswer: -2877120*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h be 1\/4 + 944\/64 + -17. Sort 619, h, 2, 0, 5 in decreasing order.\nAnswer: 619, 5, 2, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 10162642*h**5 - 2*h**2*o**3 - 7619*h*o**3 - 10*h*o + o**3 + o**2 - 7*o + 1 wrt h.\nAnswer: 203252840*h**3 - 4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 18, 2, 0.4, -2\/15, 0.1?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3 + (1 + (-1 + (-2 + sqrt(432) - sqrt(432)) - (sqrt(432)*2 + -4)))*-3)**2.\nAnswer: -432*sqrt(3) + 15561","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 10, -208, 3, -4, -71 in increasing order.\nAnswer: -208, -71, -4, 3, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = 2*b**3 - 2*b**2 - 6*b + 2. Let r = -42 + 45. Let a = -66 + 102. Calculate the remainder when a is divided by j(r).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q - 14 = -2*b, 0*b - 8 = -b + q. Let s = 8 - b. Solve -3 = -z - s for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -43713690, -43713665, -43713638, -43713609?\nAnswer: -43713578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -15931 or -15930?\nAnswer: -15930","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 223830 a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1545 and 66641?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**(-2\/27)\/b*b**(-1\/8))**(-10)*(b**(-1\/12)\/b*b**(-14))**(-2\/99) assuming b is positive.\nAnswer: b**(541\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 11\/5928 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 31050 + 2552?\nAnswer: 33622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(33)*1 - sqrt(33))*4 + sqrt(99)\/(2*sqrt(3) - sqrt(3)))\/(-3*sqrt(12)\/sqrt(4)*-6).\nAnswer: sqrt(11)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -342121 (base 6) in base 10?\nAnswer: -28993","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v be (4\/(-6))\/(780\/351). Let u = 0.5 + 0. Which is the nearest to -2? (a) u (b) 5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 319*b - 25 = 5*o + 324*b, 4*o + 3*b = -20 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 77 and 62699?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.1 + -4.1. Suppose 0*n - 92 = 3*q + 4*n, 5*q = 3*n - 192. Let y be 16\/6*(-3)\/q. What is the closest to 0 in y, s, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {y: 6, d: 2, g: 1, n: 2}. Give prob of picking 1 d, 1 n, and 1 g.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from cccrcrcc. What is prob of sequence crc?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 49\/1480 and -17\/2368.\nAnswer: 11840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 70111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -105233 or -1.1?\nAnswer: -105233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l = l + 114. Let u be l\/(2 - 16\/7). Suppose -451 = -3*t - u. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(13) + (sqrt(637) + 0 + sqrt(13))**2)*-2 - ((0 + sqrt(208) - sqrt(208)) + ((-2 + sqrt(13)*-1)**2 - sqrt(13))).\nAnswer: -1681 - 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 29230 and 17053730.\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = -7*m + 13. Suppose -52 = 5*x - 7. Let i be a(x). Suppose -i - 161 = -3*y. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 160.7303 milligrams in nanograms?\nAnswer: 160730300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2\/9 + (-10)\/(-36).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -16 - 21?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = -1209*b**2 - 40. Let c(m) = -586969*m**2 - 19424. Give -5*c(z) + 2428*p(z).\nAnswer: -607*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = -l + 7. Let p be x(3). Suppose 15 = -4*t - 5*z, -6*t - 15 = -p*t + 5*z. Solve 3*w + 2*w + 25 = t for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ib when two letters picked without replacement from {i: 17, b: 3}?\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*x**3 - 2*x**3 + 0*x**3)*(-86 - 42 + 161 - 2*x - x**2).\nAnswer: -3*x**5 - 6*x**4 + 99*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is ((-56)\/42)\/((-10)\/(-30)*(-2)\/3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 23711 is divided by 349?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = 4*s**2 - 8*s - 6. Let l(g) = -g**2 + g + 1. Let n(m) = d(m) + 3*l(m). Determine n(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {v: 2, m: 1, g: 1, w: 3}. What is prob of sequence vw?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 1034258013*q**2 + 594698097.\nAnswer: 2068516026*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = 0*l**2 + 0*l**2 + l**2. Let t(c) = 13*c - c - 7*c. Determine t(o(a)).\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -248, -282, -326, -386, -468?\nAnswer: -578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 30\/(-4)*36\/54\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v = -10539 - -7466. Let l = -2103 - v. What are the prime factors of l?\nAnswer: 2, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m = 0, 5*g + 8*m - 4*m - 10 = 0. Let h = g - -59. Let v = -44 + h. What is the remainder when 64 is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-791)\/565*(-2 - -1 - -6).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*f + 0*f - 3*w + 35 = 0, 2*w + 10 = 0. Let y be 1 + (156\/f - 36\/(-90)). Which is the third biggest value? (a) 2 (b) y (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 10*b - 15*b - 1 + 2*b**4 + 2 + 11*b - 2*b**2 as y*b + f*b**4 + l*b**2 + m + g*b**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -216 divided by 18\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 92921 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*i + 2*i + 3*r - 30, -5*i + 3*r = -51. Suppose 4*j + i - 53 = 0. Is 1*(1 + j + -2) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 8416 is divided by 2795?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in 4\/5, 2\/7, -0.07, 0.4, 12, 3?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round 23830000 to the nearest one hundred thousand.\nAnswer: 23800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 28998 and 19332?\nAnswer: 57996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate -31 + 6 + 9 - (-1 - 7).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 2437 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 84\/40*(-7480)\/(-561)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 18048, 36559, 55984, 76779, 99400, 124303, 151944, 182779?\nAnswer: 217264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 239 smaller than 248175\/1039?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h = -636 + 635.9. Let t = 294 - 293. Which is the nearest to h? (a) -2 (b) -0.1 (c) -0.7 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (3\/9)\/(2\/6). Which is bigger: 0.17 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*-5*(1 + sqrt(1728)))**2.\nAnswer: 1200*sqrt(3) + 43225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s = 10.2 - 8.2. Which is the nearest to s? (a) -2 (b) 5 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2 - ((-12)\/(-4) - 2)*(8 - 7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-m**3 + 0*m**3 + 3*m**3)*(-4*m + 2 - 2*m + 7*m)*(-79*m - 1 - 1 + 81*m)*(-5 + 0 + 13).\nAnswer: 32*m**5 + 32*m**4 - 64*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.084 and -0.7.\nAnswer: -0.0588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -0.041677 or -16\/5?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 36809 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -0.2855*-0.1\nAnswer: 0.02855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 82 = -8*i + 18 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {b: 3, v: 5, i: 1, q: 7, y: 2}. Give prob of sequence vb.\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) be the first derivative of -n**4\/4 - n**3 + n**2 + 6*n - 1. Let c be o(-4). Calculate the highest common divisor of 70 and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2087921.9 rounded to the nearest one hundred thousand?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 4*(-56)\/64*(23 + (-663)\/91)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (3648\/(-96))\/((-70)\/(-7))?\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 143\/10368 and -13\/5184.\nAnswer: 10368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:03 AM and 2:31 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 1 - -3043?\nAnswer: 3044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -900088898.891 + -452?\nAnswer: -900089350.891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((d*d*d*d\/d**(1\/2)*d)\/d)**42*(d\/(d\/(d\/d**(2\/11))))\/d**5)\/(((d*d**(-4)\/d)\/(d\/(d\/(d\/(d*d**(2\/3)\/d)))))\/(d\/d**3*d\/d**3)) assuming d is positive.\nAnswer: d**(4724\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 4, -38, 9, -4 in decreasing order.\nAnswer: 9, 4, -1, -4, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a**(-2\/5)*a*(a**(-3\/8)*a)\/a*a)\/(a**1)**(-1\/18) assuming a is positive.\nAnswer: a**(461\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*n - 3*n - 43*n**2 + 60*n**2.\nAnswer: 17*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*k + 3*u - 33, 0*u = 4*k - 2*u - 18. Suppose 8 = k*o - 2*o. What is the derivative of -h**2 - 2*h**2 - 9 + 2*h**o + 6 wrt h?\nAnswer: -2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -13936 divided by 2.\nAnswer: -6968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r be (1 - 3\/(-3)) + (-15)\/12. Let i = 34 + -17. Let j be (-6)\/15 - i\/(-55). What is the biggest value in 1, j, r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = 191083*s + 1337876. Determine m(-7).\nAnswer: 295","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) = -7017*a. Let s(c) = -5*c**2. What is s(n(p))?\nAnswer: -246191445*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 2429*y**3 + 19*y**2 + 115408.\nAnswer: 7287*y**2 + 38*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i\/(i*i*i*i*i*i**4))\/(i\/(i*i**(1\/17)*i))*i*((i\/(i**(-5\/4)\/i))\/i)\/i*i*i\/(i\/(i**5*i)) assuming i is positive.\nAnswer: i**(157\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(5*((sqrt(567)*-3)\/sqrt(9) + sqrt(63) + -3)*-1 + 4)**2.\nAnswer: -6661 - 1140*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -33, 3, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n = 10, -n = 5*f - 0*n. Let t = 7 + -6.95. Let o = t - 0.55. Which is the second smallest value? (a) o (b) 2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (2 + -1)\/(5\/20). Suppose -8 + 16 = w*r. Solve 3*t + 2*t - 20 = 5*a, r*t = 10 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -6956 (base 10) to base 8.\nAnswer: -15454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8403722?\nAnswer: 2, 4201861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 129740 and 195?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: (-9)\/2*(-14)\/63\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 75\/9056 and 31\/39844136.\nAnswer: 159376544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 283 = m + 2*m - 5*r, -2*r = -4*m + 354. Suppose -4*f + m = -l, 0 = -2*f + 5*f - 4*l - 58. What is the smallest common multiple of f and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1523 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n - 29 + 17 = 0. Suppose -n*i = 2*i - 1715. Suppose 6*z - 947 - i = 0. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 36.37689 weeks?\nAnswer: 22000743.072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate (18\/4)\/((-630)\/(-280)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -14333, -14332, -14331, -14330, -14329, -14328?\n\"Answer: s - 14334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 14230831?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 11413, 23591, 36537, 50251, 64733, 79983?\n\"Answer: 384*d**2 + 11026*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z = -4*b - 40, -2*b + 6*b + 5*z = -40. Let v(p) = p**2 + 0*p + 6*p + p + 9. Does 18 divide v(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 3*q**2\/5 - 114*q\/5 + 111\/5 = 0. What is q?\nAnswer: 1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*r - 2*r - 2*r)*(2 + 0 + 3) + 4 - 7*r - 4 + (1 - 3 + 3)*(-r + r + r).\nAnswer: -11*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) = v**3 + 5*v**2 + 2*v - 2. Let x be b(-5). Let p be (-2)\/1*(-6)\/x. Is p bigger than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 291 minutes after 3:05 AM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 133, 261, 403, 565, 753, 973, 1231, 1533?\n\"Answer: s**3 + s**2 + 118*s + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = 1165*d - 15130. What is v(13)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-2388)\/(-54) - 2\/9. Is 179\/3 + i\/(-66) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 460881558 and 2628.\nAnswer: 1314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = 7*v**2 + 19*v + 52. What is the units digit of o(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose a - 3*z - 3635 = 0, -a = 2*z - 999 - 2646. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 48412784 to the nearest integer?\nAnswer: 6958","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/3 in 8, -4, -7218?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let -3*u**2 - 31953*u = 0. What is u?\nAnswer: -10651, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert 10212 (base 5) to base 11.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0 and 230418.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) be the third derivative of -i**6\/570 - 23*i**5\/570 - i**4\/3 - 55*i**3\/57 - 3418*i**2. Let g(p) = 0. Calculate p.\nAnswer: -11\/2, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -20\/1431 and -15\/31.\nAnswer: 44361","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Round -143416560 to the nearest 1000000.\nAnswer: -143000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) be the first derivative of 5*l**2 + 3*l - 40. What is the units digit of o(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 5004 + -3368. Let j be (494\/(-12))\/((-1)\/(-39)). Let z = h + j. What is the common denominator of z and -23\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*p**4\/15 - 4*p**3 + 386*p**2\/15 + 64*p + 512\/15.\nAnswer: 2*(p - 16)**2*(p + 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 k and 3 o when four letters picked without replacement from ookooooko?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 217 - -1?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(17) + sqrt(34)\/sqrt(2)*-2)**2 + 1.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1 - 19 - ((76 - -1) + -84).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:06 PM and 9:50 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -4838, -4932, -5030, -5132, -5238?\nAnswer: -5348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Put -25, 1, 4, 741 in descending order.\nAnswer: 741, 4, 1, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 1200 - -10?\nAnswer: 1210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -2\/9, -0.04, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f be 2 - (2 + 2 + 95). Let b = -47 - f. Suppose -b = -3*i + 10. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 644 minutes after 7:37 AM?\nAnswer: 6:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 148007393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 1618817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 43313 is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1\/6887 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -74*y**2 + 35*y**3 + 75*y**2 - y**3 + 2 to q + p*y**2 + w*y**3 + g*y and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z = -9 - -8.5. Let s = -0.5 - z. Which is the second biggest value? (a) s (b) -1 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (1276\/(-174))\/(2\/(-252)) a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -89*u**3 + 326122*u**2 + 179403835*u?\nAnswer: -534*u + 652244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = 2*z**2 + 4*z + 3. Let d(k) = k**3 + 2*k**2 + k - 2. Let x be d(0). Calculate the remainder when 8 is divided by h(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 62488 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = 9 + 40*s + 2909*s + 1448*s. Is m(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-51)\/(-204))\/(2\/12*(-28)\/8).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) be the third derivative of -d**9\/252 - 2*d**7\/105 + 3*d**6\/40 - 2353*d**5\/60 + 13017*d**2. Find the third derivative of j(b) wrt b.\nAnswer: -240*b**3 - 96*b + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 8 - 8.2. Which is greater: -0.3 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -1\/6401 - 3085279\/19203. Let t = 162 + r. Let x = -351 - -351.2. Which is the closest to x? (a) -4 (b) t (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 + (-4 - (5 - 9)) + 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 460, 462, 464, 466, 468?\n\"Answer: 2*g + 458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*x - 18 = -11*x. Suppose -42 = 2*g - x*g. Calculate the remainder when 17 is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -3793995*t**6 - 4*t**2 + 33103*t - 13?\nAnswer: -455279400*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is (-846)\/6*(1\/6)\/(10\/(-20))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 45 and 14684337?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: (-28 - -4) + -12 + 13 + (-16 - -9)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -5554*h**4 - 2*h**2 + 2*h - 95704.\nAnswer: -22216*h**3 - 4*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7417 is divided by 1226?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1\/(-6)*(129\/(-90) + 17\/(-255)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -375\/17 or -2\/11?\nAnswer: -375\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a = -133 - -327. Let k = -188 + a. Which is bigger: -2\/13 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 657*x - 7971 = 2541. Suppose 3*q - 2*b = -7*b + 22, -3*b + 2 = -q. Solve -q*j + 0*d = 5*d + x, 5*j + 2*d = -20 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -4806\/77 - -630\/11. Which is bigger: h or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 3659 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ghn when three letters picked without replacement from hggftftffftttnftff?\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -13\/12 or -1?\nAnswer: -13\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 0.4 (b) 1.9 (c) -2 (d) 2 (e) -0.4 (f) -25\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) be the third derivative of -r**7\/210 + 11*r**5\/30 - r**4\/12 - 5*r**3 + 14*r**2 + r. Find the second derivative of h(s) wrt s.\nAnswer: -12*s**2 + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-6)\/(-4)*(-640)\/30. Let v be ((-12)\/8)\/(6\/s). What is the greatest common factor of v and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Add 107282 and 13266481.\nAnswer: 13373763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 139717 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2141 or 592?\nAnswer: -2141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 498*u - 376635 = 453*u - 142815. What is the greatest common divisor of u and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -z**4\/5 + 11348*z**3\/5 - 32182926*z**2\/5 - 12879980*z - 6441125.\nAnswer: -(z - 5675)**2*(z + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z + o - 2*o - 440 = 0, 0 = 2*z + 3*o - 206. Let x = 2044 + -2007. Suppose -k + z = -x. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3*l + 2*l - 3*l + (-1 + 5 - 3)*(7*l - 10*l - 12*l))*(-17*l + 6*l**3 + 17*l) to t*l**2 + g*l**3 + r + i*l**4 + p*l and give i.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/15? (a) -3\/7 (b) 0 (c) 1\/2 (d) 8\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {j: 1, m: 1, u: 4, h: 2, o: 1}. Give prob of sequence mh.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = -5*p**2 + 2*p - 3. Let r be g(2). Let y(x) = -x - 5. Let b be y(r). Suppose 22*w = b*w + 592. What is the remainder when w is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 6 - 2. Solve -v*j + 3 = -j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4 + 1*sqrt(13))*5 + 2 + ((sqrt(520)*1)\/sqrt(10))\/((sqrt(24)\/sqrt(3))\/sqrt(2)).\nAnswer: -18 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = -j + 1. Let z be y(4). Let b = -463\/3 + 153. What is the closest to -2\/3 in z, -2\/5, b?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 13428 and 54085.\nAnswer: 1947060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = -8*f**2 + 5*f + 1. Let n(d) = -15*d**2 + 10*d + 2. Determine -11*j(g) + 6*n(g).\nAnswer: -2*g**2 + 5*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 2510833 less than -1245216?\nAnswer: -3756049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in 2\/43, -6, 3, 7?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = -59 - 4*j + 59 + 5*j. Let a(g) = g - 2. Let n(t) = -3*t + 5. Let v(o) = 8*a(o) + 3*n(o). Let x(i) = 6*s(i) - 2*v(i). Differentiate x(y) wrt y.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from qqqqqq. What is prob of sequence qqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*h**3 - 4*h**2 + 23*h**2 - 32 - 15*h**2.\nAnswer: -2*h**3 + 4*h**2 - 32","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} {"text":"Question: Let c(x) = 3*x + 5. Let g(h) = h + 4. Let n(i) = 1. Let b(w) = -g(w) + 3*n(w). Determine 5*b(m) + c(m).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 15 in 112, -3\/7, -0.1, -14?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 661810*s**3 + 5*s**2 - 14*s - 70 wrt s?\nAnswer: 3970860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.6 - -0.2. Let m = 1.405 + -72.105. Let w = -71 - m. What is the closest to w in k, 0, -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -271*l + 273*l - 10 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = -10*i - 6 + 1 + 7*i + 9*i. Give a(-4).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = -d**2 + 10*d + 6. Let g(k) = k**3 + 11*k**2 + 13*k - 1. Let v be g(-10). Let t = v + 40. Let a be h(t). Solve 2*m = -3*m + a for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 5 (base 15) to base 2.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from orrxrrxroxroorxr. What is prob of picking 2 o?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (-161 + -4 - 1)\/((-18)\/819)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*n + 28 = -2*n. Let i be (-1589)\/(-63) + (-4)\/18. Let v = i + -15. Calculate the lowest common multiple of v and n.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 1.9 + 11.1. Let f = b - 13.000032. What is f rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6130 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -0.03049245 rounded to 3 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) be the first derivative of 4\/3*n**3 + 1\/3*n**6 - 3 + 0*n**4 + 0*n**5 + 0*n + 0*n**2. What is the third derivative of x(l) wrt l?\nAnswer: 120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/8? (a) -0.3 (b) -2\/19 (c) 0.3 (d) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-4 - 0) + 10 - ((-6 - -48) + -54) - 1.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 2179 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ccccjjjjccccjccccc. What is prob of picking 3 j?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -60341, -120705, -181069, -241433, -301797, -362161?\nAnswer: -422525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*r**2 - 110*r + 65832.\nAnswer: -2*(r - 156)*(r + 211)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 0.005 < 98\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = d**2 - d - 16. Let p be l(4). Let a be (-6)\/p*256\/96. Let s be (-5*1)\/((-2)\/2). Solve -s*o + 16 = a*i - 2*i, o = 4*i - 10 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 0 at least as big as 2\/216763711?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u be 24\/11 + 2\/(-11). Suppose 2*y + 4*a = 34, -u*a + 0*a = 2*y - 36. Calculate the remainder when y is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o + 80 = -2*q, 54 = 2*o + 2*q - 3*q. Is o a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) be the first derivative of 3*a**5\/40 + 3*a**4\/8 + 3*a**3\/4 + 3*a**2\/4 + 3*a\/8 - 7. Factor n(j).\nAnswer: 3*(j + 1)**4\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 986?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o**(2\/35)*o*o)\/o*o)**(-44)*(o**(4\/11))**(1\/17) assuming o is positive.\nAnswer: o**(-592276\/6545)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(700) - 2*(sqrt(700) + 3 - sqrt(700))) + sqrt(700))**2.\nAnswer: -240*sqrt(7) + 2836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let p be 10\/(-4)*(-8)\/10. Suppose 0 = -0*f + 2*f - 60. Suppose p*b - b = f. Does 15 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 30.5 + -24. Let v = u + -6. Which is the closest to 0? (a) 4 (b) -2\/7 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 43534271 and 3245?\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 21\/5 of a millennium?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = -q**3 + 4*q - 5. Let y(p) = p**3 - 8793*p + 15. Determine -3*w(h) - y(h).\nAnswer: 2*h**3 + 8781*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) be the second derivative of 4*o**6 + 2*o**3\/3 + 2*o**2 + 29*o + 4. Find the second derivative of m(n) wrt n.\nAnswer: 1440*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -4*m**4 - m**3 - 20 + 19 + 3*m**4 - 2*m + m**2 as t*m + y*m**2 + r*m**3 + x*m**4 + v and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 24 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -15, -41, -81, -135, -203, -285, -381?\n\"Answer: -7*m**2 - 5*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.718465 - -19209841.\nAnswer: 19209840.281535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence oo when two letters picked without replacement from {y: 7, o: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n = 545 + -437. Calculate the remainder when 358 is divided by n.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -9950.04896 to one decimal place.\nAnswer: -9950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = s**2 + 9*s - 58. Give i(-15).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2*a**5 + 88668*a**4 - 9*a**3 + 217*a**2 + 33*a - 13 wrt a?\nAnswer: -120*a**2 + 2128032*a - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Put -59, 0.5, 3 in descending order.\nAnswer: 3, 0.5, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 118246309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g\/g**5)**19*g**22\/(g**(-15)*g*g) assuming g is positive.\nAnswer: g**(-41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 339*h**2 - 1350 + 1350 + 15*h to n*h**2 + i*h + a and give n.\nAnswer: 339","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j = -27\/8 + -181\/24. Let z be 11\/3*(-1 + 4) + 1. Calculate the common denominator of 981\/(-30)*4\/z and j.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) be the first derivative of -107*n**2\/2 + 112. Let y(p) = 2*p**2. Give z(y(r)).\nAnswer: -214*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 3845 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -185 + 47 + 59 + 79 - 143*g**3.\nAnswer: -143*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Determine s so that -45*s**2 + 177294*s + 23640 = 0.\nAnswer: -2\/15, 3940","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*l**2\/3 + 5038*l\/3 - 10084\/3.\nAnswer: 2*(l - 2)*(l + 2521)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*v - 6*t = -7*t + 20, 25 = 5*t for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 30426 and 1056?\nAnswer: 486816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: ((4\/22)\/(36\/66))\/(33\/(-18))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-6)\/(-12)*-2*(-1 + 0). Let d(z) be the first derivative of 0*z + g + 0*z**2 - 1\/6*z**3. What is t in d(t) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 6 + -7. What is the common denominator of 8\/5 and (-136)\/(-6)*(0 - p)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = i - 1. Let j be (-2)\/6 - 141\/9. Let w = j + 24. Suppose 4*o = -w, -3*m + 26 = m - 3*o. Let a(t) = -4*t + 3. Determine m*p(k) + a(k).\nAnswer: k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c = -4 - 2. Suppose -8*n - 70 = -15*n. Let f = c + n. Solve 0 = 3*d - 5*d - f for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7*r + 4 - 6*r - 2*r - 545*r**3.\nAnswer: -545*r**3 - r + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 564704119 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -320 + -3300?\nAnswer: -10220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = 1720*x + 47. Let u(b) = -3441*b - 118. Calculate 10*h(p) + 4*u(p).\nAnswer: 3436*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 102144 is divided by 891?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 203 and 609.\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {f: 9, o: 7}. Give prob of picking 1 o and 3 f.\nAnswer: 21\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 815, 6150, 20309, 47600, 92331, 158810, 251345, 374244?\n\"Answer: 718*k**3 + 104*k**2 - 3*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 8\/8*6\/(-39).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f = -151 + 35. Let s be -3*(f\/(-9))\/(-4). Let k = s + -200\/21. Sort k, -1\/3, 0 in decreasing order.\nAnswer: k, 0, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5042510821.\nAnswer: 271, 18607051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2 + 2 + 9 - 2 - 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {y: 4, p: 3, j: 1}. What is prob of sequence jp?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 14012, 56040, 126086, 224150, 350232?\n\"Answer: 14009*q**2 + q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let h = 14 + -10. Let v = 29 + h. Suppose 4*z + w = 99, 3*w - v = -z - 0*z. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -577760 (base 10) in base 16?\nAnswer: -8d0e0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = 2*y**2 - y - 1. Determine p(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand -f**3 + f**3 + 5*f**3 + (f + f + 0*f)*(0*f**2 + 0*f**2 + f**2) + (f**2 + 3*f**2 + f**2)*(4*f + 5*f - 5*f + (-3 + 2 + 2)*(-f + 0*f - f)).\nAnswer: 17*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 4, 785, 5?\nAnswer: 785","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*a + 1440 = 248. Let k = -185 + a. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) be the first derivative of 0*q + 5\/2*q**2 - 3 + 3\/2*q**4 + 0*q**3. What is the second derivative of g(b) wrt b?\nAnswer: 36*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.01 + -1.99. Let o = 0.5 - 0.8. Which is greater: u or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*u + 4*v - 6*v - 7 = -29, -5*u + v - 13 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = 16*f. Let r(d) = 0*d**2 + d**2 + d**2. Calculate r(k(g)).\nAnswer: 512*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u = 22 - 25.9. Let a = -0.1 + u. Let w = 3.8 + a. Sort -6\/11, w, -0.1 in ascending order.\nAnswer: -6\/11, w, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 135*s**5 - 459*s**4 + 57*s**3 + 1167*s**2 - 1200*s + 300 = 0.\nAnswer: -5\/3, 2\/5, 1, 5\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = y**3 + 13*y**2 - 14*y. Let t be b(-14). Let i(x) = x - 27. Let o be i(t). Let g = 203 + -206. What is the smallest value in g, o, 4\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = -m**2 + 9*m - 16. Let t be j(6). Solve d = -3*d - t*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1998*k = 6418 + 1574 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = i**2 + 3*i + 2. Let b(g) = g**2 + 13*g - 20. Let f be b(-14). Is 5 a factor of c(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z - 9 = -3*d, -17 = -z - z - d. Let u(f) = -3*f**2 - 3*f + 36. Calculate the smallest common multiple of z and u(0).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = -5*h**3 - 3*h**2 + 4*h + 2. Let p be 1 + -5 - (-2 - -2). Let g be (691 - 671) + 1*-25. Let d(j) = 6*j**3 + 4*j**2 - 5*j - 3. Give g*m(t) + p*d(t).\nAnswer: t**3 - t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = 7*y**2. Suppose -3*s = n + 1, 3*s - 2*s - 37 = -5*n. Let m(r) = 0*r - n*r + 6*r - 14*r - 3*r. Determine m(i(l)).\nAnswer: -133*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1.686 + 2.13. Round c to 2 decimal places.\nAnswer: 0.44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -13*c + 13*c + c**2.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 750825.5 centuries in millennia?\nAnswer: 75082.55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 422, -0.5, 0.5, -6, -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -52, -204, -466, -844, -1344?\n\"Answer: -b**3 - 49*b**2 + 2*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 636 minutes before 11:04 PM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = r**2 + 10*r - 2. Suppose -5*l + 13 = 53. Give g(l).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 3 + 1 - 3*q**4 + 1 - 5*q**4 wrt q.\nAnswer: -32*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor f**5\/4 - f**4\/2 + f**3\/4.\nAnswer: f**3*(f - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -9*v + 1145 = -187*v - 991 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 2\/3, -5.8, -2\/13, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is sixty-one quarters of a kilogram in grams?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 2461 and 69963769.\nAnswer: 2461","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 935631853?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10418 = -3*n - g, -g + 0*g = -5*n + 17358. Suppose 0 = 17*c - 1832 - n. What is the highest common divisor of c and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 919 - 1 = 6*t. Let z = -129 + t. Calculate the least common multiple of 54 and z.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose h - 90 = 2*l, 4*l + l - 153 = -2*h. Suppose 64 + h = 4*r. Suppose 3*b + 2*i + 10 = r, -5*b + 3*i + 26 = 0. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*t = 333 - 335 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*((sqrt(2) + sqrt(2)*3 - sqrt(2))*1 + sqrt(2))**2 + ((sqrt(8) + sqrt(128))\/sqrt(4) + sqrt(2))*5.\nAnswer: 30*sqrt(2) + 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = -z**3 - z**2 + z - 1. Let v(n) = -4*n**3 - 8*n**2 + 6*n - 3. Let a(w) = -v(w) + 5*x(w). Let c be a(2). Solve c*p + 2*p - 2 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is fifty-one quarters of a gram in milligrams?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is -1 - -1 - 3 - -13 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 1 - ((-12)\/30 + 7\/5). Suppose 4*c - 5 = -1, i = w - c - 19. Find the first derivative of -8 - 6 - 8 + w*m - 7 wrt m.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ob when two letters picked without replacement from {g: 1, a: 4, o: 1, b: 5}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = 4 - 1 - 2 + 2959*z. Let k be s(5). Suppose w = -5*y - 1821 - 1889, k = -4*w + 2*y. What is w rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -y - 17 = 5*j + 5, 5*j + 3*y + 16 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 4 divided by -70875\nAnswer: -4\/70875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = x + 3. Let u(z) = z + 5. Let q(c) = -c**2 - 5*c - 3. Let o be q(-3). Let d(k) = o*u(k) - 5*l(k). Calculate d(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = 8*w + 24. Let g = -9 - -15. Let j(d) = 4*d + 25 - 6*d + 6*d + 3*d. Let y(o) = g*z(o) - 5*j(o). Differentiate y(v) with respect to v.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor w**4\/4 - 33*w**3\/4 + 72*w**2 - 197*w + 168.\nAnswer: (w - 21)*(w - 8)*(w - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = k**2 - 2*k + 3. Calculate the lowest common multiple of a(5) and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -50083355\/1669 + 30008. Is 0 greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -5\/1553 and -57\/7.\nAnswer: 10871","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Factor -66*f**5\/7 + 2974*f**4\/7 - 180*f**3\/7.\nAnswer: -2*f**3*(f - 45)*(33*f - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n = -17 + 23. What is the second derivative of -16*c + 7*c**2 - n*c**2 - c**2 - 18*c**3 wrt c?\nAnswer: -108*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -827, 966, 3943, 8098, 13425, 19918?\nAnswer: 27571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 66*l**4 + 1017*l**3 + 27787.\nAnswer: 264*l**3 + 3051*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(117) - (sqrt(117) + -4 + sqrt(117))) + 5)**2*6.\nAnswer: -324*sqrt(13) + 1188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Express 9*k**2 + 13*k**2 + 37*k**2 as b*k + p*k**2 + l and give p.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 115*c - 22*c**2 - 115*c - 24*c**2 + 17*c**2.\nAnswer: -29*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a = 4 - 2. Let m = a + -1.6. Which is bigger: m or -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 8537 - 2?\nAnswer: 8535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = -5*b**3 - 3*b**2. Let z be 909\/(-27) + (-2)\/6. Let c(s) = -4*s**3 - 6*s**3 - 17*s**2 - 19*s**3. Determine z*n(l) + 6*c(l).\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = v**3 - 12*v**2 + 14*v - 27. Calculate i(11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:02 AM and 11:35 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -7 - (21 - 22 - (2 - 1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n = -81 - -81. Suppose 5*q = -n*b - b + 89, -3*q - b = -53. Find the first derivative of -50*x**4 - 48 + 30*x**4 - q*x**4 wrt x.\nAnswer: -152*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 9407.486t in nanograms?\nAnswer: 9407486000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 5704398?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*c - 4*c + 3*c + (5 + 0 - 3)*(c - 4*c + 4*c) + c + 3*c + 6*c.\nAnswer: 9*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from bipizppzppipppipipim. What is prob of picking 1 m and 3 i?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i = 307 - 309.19. What is i rounded to 1 decimal place?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:05 AM and 9:37 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 4646 and 61686?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 117728096 to the nearest integer?\nAnswer: 10850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u*u**(-36)*u*u**(-32)\/u)\/(u**(-29))**(-31) assuming u is positive.\nAnswer: u**(-966)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from kcckgggoki. What is prob of sequence io?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 1198702 to the power of 1\/2, to the nearest integer?\nAnswer: 1095","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is next in 563, 535, 461, 347, 199, 23?\nAnswer: -175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -13*m = 25 + 40 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h + 10 = 25. Suppose -7 - 7 = -h*x + z, -5*z = -2*x + 31. Put 0, x, 2 in ascending order.\nAnswer: 0, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0 + -5. Let m = -0.03 + -0.19. Let q = -0.18 + m. Which is the second biggest value? (a) n (b) q (c) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 68694*o - 68802*o + 972 = 0 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = -102*g**3 + 3*g**2 + 6*g - 1478. Let m(s) = -308*s**3 + 8*s**2 + 16*s - 4434. Let h(t) = 3*m(t) - 8*n(t). What is the derivative of h(f) wrt f?\nAnswer: -324*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*l - v, -2*l + 7*l = 5*v. Suppose -8*f - 24 - 8 = l. Let q(c) = -c**3 - 4*c**2 - 5*c - 3. Let r be q(f). Solve -2 + r = -5*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = 25*h - 212. Determine a(8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10822*u + 10822*u + 0*u**2 + 3*u**2.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -22 in 4, -0.2, 0.3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 36, 153, 4 in decreasing order.\nAnswer: 153, 36, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r**5 - 54*r**4 - 438*r**3 - 1010*r**2 - 912*r - 288 = 0. What is r?\nAnswer: -12, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 191856 and 95928.\nAnswer: 191856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 32944736*a**2 + 32463753*a?\nAnswer: 65889472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/5 in -2, -2\/207, -2\/409, -1.9?\nAnswer: -2\/409","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -6 = 3*q + 6 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-9)\/195)\/(161\/162610*101).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Total of -0.033 and 553297567999.\nAnswer: 553297567998.967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (-11 - 6*i + 10*i - 2*i + (-3 + 4 + 0)*(2*i - 4*i + i))*(2*i**3 - 2*i**3 - i**4).\nAnswer: -i**5 + 11*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -53395*j + 29366*j + 27165*j.\nAnswer: 3136*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1 + -1 + 138 + -89 + -49 + (-19 - 0)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c = -16327 + 29033. List the prime factors of c.\nAnswer: 2, 6353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b = 3*a - 15, 3*a + 0*a - 2*b = -10. Solve -4*r + 6*r + 4 = a for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 138, 134, 118, 84, 26?\n\"Answer: -s**3 + 3*s + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d = 3.5 + 0.5. What is the third biggest value in d, 0, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1287073 a multiple of 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = 13*z - 20*z + 10*z + 145. Does 5 divide y(-30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 39*h - 143 - 52. Suppose -2*y + 3*y = g - 77, -h*y = -3*g + 239. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1729926911 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 681 minutes after 5:45 AM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 3 in -1\/8, -54, 5\/8?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:57 AM and 1:36 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -45070105 or -45070104?\nAnswer: -45070105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i = 767 + -425. Suppose 0 = -4*q - 4*l - l + i, -l = -4*q + 330. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 767 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -85\/644 and -131\/966.\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: (-10)\/9*(-20)\/(1760\/66)\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 6 - -5639?\nAnswer: 5642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Put -0.7, -538, 128\/3, 1, 0 in descending order.\nAnswer: 128\/3, 1, 0, -0.7, -538","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 1550\/310*4\/8*-2*1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:04 AM and 2:48 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 308488 and 616?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1 and 13775.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a\/a**(-19))\/a**(-23))**(2\/85) assuming a is positive.\nAnswer: a**(86\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = -5*h + 3. Suppose -119 = -2*s + 9. Suppose 44 - s = -5*j. Suppose -q = -j*n + 16, -5*q + 1 = n - 3. What is z(n)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1876 (base 12) in base 8?\nAnswer: 5632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/7? (a) 0.3 (b) -0.8 (c) 7\/5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -209, -288, -379, -488, -621, -784, -983?\n\"Answer: -q**3 - 72*q - 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 + 0 + 2)*(3 - 1 - 1)*(-63 + 10 - 26)*(5*k - 5*k + k).\nAnswer: 158*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 14580?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o = -16 + 280. Let d = o + -39. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 35837 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r - 24 = 4*a, 2*r - 4*r = 4*a + 6. Let g(l) = -l - 3. Let v be g(a). Is 1\/5 at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in -4\/99, 1, 5, 0.5, -3?\nAnswer: -4\/99","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in three tenths of a meter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-3)\/18 - 317\/6. Let j = c + 62. Solve -j = -5*o - 29 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3 divided by -2710?\nAnswer: 3\/2710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k = -7628 - -9452. Calculate the least common multiple of 14 and k.\nAnswer: 12768","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -18, -76, -176, -324, -526, -788, -1116, -1516?\n\"Answer: -j**3 - 15*j**2 - 6*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*u - 5*u + 4*u)*(-2 - 19 - 2).\nAnswer: 23*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = 5*d - 4. Determine y(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1 + -11. Let f = 14955\/19 - 786. What is the common denominator of 9\/((-315)\/158) + 2\/n and f?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1752*r = -2017*r - 2915 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = 114*d + 5. Let w(z) = 568*z + 26. Let l(b) = 3*w(b) - 16*y(b). List the prime factors of l(-1).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 21 a factor of 267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j = 38 + -55. Let i = j + 49. Suppose i = -2*o + 6*o. Calculate the remainder when 15 is divided by o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 156\/(-72)*9\/(-117)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 356693150 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Factor -29469*c**2 - 692*c - 5500*c**2 - 5 - 1 + 2 - 56*c.\nAnswer: -(187*c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 89.6 - 90. Let n = -2 + 5. Suppose -j - n*j = 16. What is the third biggest value in j, k, 4\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -183, -196, -217, -246, -283, -328, -381?\n\"Answer: -4*a**2 - a - 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*sqrt(63)\/(sqrt(3)*3))\/(sqrt(1008)*-3*-1 - sqrt(1008)).\nAnswer: -5*sqrt(3)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*c = -10, -y = y - 4*c + 12 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 143677.\nAnswer: 143677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in one quarter of a century?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3 + (sqrt(1008)*-2 + sqrt(1008) + sqrt(1008))\/(sqrt(576) - 2*sqrt(576))*2*2)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*b + 590 = -40. Calculate the highest common divisor of b and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor q**3\/5 + 1633*q**2\/5 - 650504*q\/5 + 58487568\/5.\nAnswer: (q - 172)**2*(q + 1977)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-3)\/(-2) + -1 - 22\/28. Which is the closest to i? (a) 3 (b) 0.2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*d + 334 = 332, 0 = 5*p + 2*d + 7 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) be the third derivative of -w**4\/24 + 3*w**3\/2 + 122*w**2. Let o be p(5). What is the closest to 0.2 in o, -6\/11, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 4963.585um?\nAnswer: 0.4963585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = -15*t - 40. Determine a(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -9091.2 rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -6, -8, -34, -96, -206, -376, -618, -944?\n\"Answer: -2*n**3 + 12*n - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -65, -55, -49, -47, -49, -55?\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.290201 + 0.30482. What is u rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be ((-2)\/(-5) - 0) + (-28)\/245. Which is smaller: 0.09 or f?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-14)\/28*(-2)\/(-3).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 84 + 18185*a**3 - 84.\nAnswer: 18185*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) be the second derivative of -5*a**4\/6 - 2*a**3\/3 + 5*a**2\/2 - 13*a. Let u be y(1). Let l = 12 + u. Solve -3*d - 12 = 5*n - 5*d, -l*n + 8 = -5*d for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 888698 is divided by 3174?\nAnswer: 3152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d = 104921\/36 + -2914. Let j = 107\/6 + -69\/4. What is the common denominator of j and d?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 4936\/45031 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a**1)**(-2\/53)\/((a*a**(-23))\/((a*a**(2\/17)\/a)\/a*a)) assuming a is positive.\nAnswer: a**(19894\/901)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = 5*a, 5*a - 27 = -2*z + 6*z. Let o(m) = 3*m + 4. Let d be o(z). Let u = d - -11. Is -12 > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -895 + 894. Which is the third smallest value? (a) -5 (b) 1\/4 (c) g (d) -80\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*r + 44 = -h, -r - 6 + 22 = -h. Suppose 0 = -4*w - 2 + r. Suppose 0 = w*v - 12 - 309. List the prime factors of v.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-3 - (-18)\/8)*-4. Suppose -2*m + r*m = 53. Suppose 4*k + m = 3*j, 1 + 3 = -2*k. What are the prime factors of j?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 819859.9ng?\nAnswer: 819.8599","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -84 + (-73 - -81 - -68)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 37\/5 of a litre?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1656, -1565, -1476, -1389, -1304, -1221, -1140?\nAnswer: -1061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (12*(-30)\/4800*-8)\/((774\/15)\/(-6)).\nAnswer: -3\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g\/(g\/g**12))**(2\/25))**(29\/3) assuming g is positive.\nAnswer: g**(232\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 + 3 - 2)*(3*i - 2*i + 0*i) - i + 1 - 1 + (4*i - i - i)*(1 - 1 + 1) - 2*i + 3*i + 3*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -2 - -515?\nAnswer: 513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*s**2 + 414*s + 4340.\nAnswer: -2*(s - 217)*(s + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o = -2*o - 4. Suppose o*c - 12 = 3*p - 52, -3*p - 3*c = -33. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = -s**2 - 7*s - 4. Let a be y(-6). Suppose -4*f + 57 = -z - 2*f, z - f = -58. Let o = -64 - z. Sort a, 1, o in decreasing order.\nAnswer: a, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 158117\/90 or 1757?\nAnswer: 1757","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f = -5.7 - 0.9. Let c = 20.4 - f. Sort -3, 4, c, -0.1 in increasing order.\nAnswer: -3, -0.1, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 803\/962 - 2\/1443. Find the common denominator of q and 10 - (-1)\/3*-1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*j - 156 = 3*z, -26 = -2*j + 5*z + 87. Calculate the remainder when j is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together 276400 and 1590082.\nAnswer: 1866482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t = 106.3 + -105. Let v = 0.03 + -1.23. Let y = v + t. What is the nearest to y in 2\/7, -0.3, -2\/17?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 14 = i + 5*t, -i + 8 - 12 = -t for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -1726 (base 9) to base 8\nAnswer: -2450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 2*c**4 - 201573*c**3 - 2*c + 246427.\nAnswer: 8*c**3 - 604719*c**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 5129 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -3647 (base 11) in base 7?\nAnswer: -16623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c = -47 + 49. Let h(y) = 7*y**2 + 7*y - 2*y**2 - 3*y**2 - 3*y**c - 5. Let o = 701 - 696. Give h(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (60\/15)\/1 + -1 + (-987)\/326. Do 1 and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3707092 divided by -244?\nAnswer: 15193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is v in 2*v**2 - 31280*v + 26504318 = 0?\nAnswer: 899, 14741","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c = 0.1786 + 0.0214. What is the second smallest value in -0.108, -4, c?\nAnswer: -0.108","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = -6*l + 2. Let q = 1 + 2. Suppose 4*v - q - 9 = 0. Suppose 0*b = 5*b + 4*f + 14, v*f = -3*b - 9. Give h(b).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j**10)**(-2\/11) assuming j is positive.\nAnswer: j**(-20\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 1169 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Express (-2*u + 3*u - 2*u)*((-5 + 3 + 3)*(2*u + 11 - u - 4*u) + (6 + 0 - 5)*(2*u - u + u) - u - u + 3*u + 3 - u - 3) in the form h*u**2 + g*u + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y = 13 - 65. Let i = y - -56. Which is the closest to 5? (a) -4 (b) i (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2)\/(-35)*(-40)\/(-8)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-4 + 2*j - 6 + 8*j + (1 + 1 + 0)*(2*j - j - 2*j) + 1 - 1 - j)*(j + 2*j - 4*j) to the form o + i*j + x*j**2 and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 722 and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*sqrt(343) - (sqrt(7) - (sqrt(7) + -3*4*sqrt(7))).\nAnswer: -33*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose i + i = 0. Let t = 152\/657 - 2\/219. Let f = -1117 - -1118. What is the closest to i in -1\/5, t, f?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert ca (base 16) to base 9.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n**3 - 1062*n**2 - 141510*n - 140450 = 0. Calculate n.\nAnswer: -265, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 195 in 0.2, -3, -3\/2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d = -41 - -42. Calculate the greatest common divisor of d and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve u + 0 + 8 = 8*z - 4, -u = -14*z + 10*z + 20 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i = 4122 - 1099. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -7 - -23 - 48 - -15\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k be -1 + (1 - 0 - 438). Let n = k - -63. Is 1\/(-4) - n\/12 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -74929167 smaller than -449575001\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -1993*c**2*v + 25175*c**2 + 34*c*v + 692*c - v + 1151 wrt c?\nAnswer: -3986*v + 50350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -402*z**2 - 173*z**2 + 1813199 - 1813171.\nAnswer: -575*z**2 + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Convert 3999.125 milligrams to kilograms.\nAnswer: 0.003999125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = 21*q**3 + q + 1. Calculate s(-1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 3036 and 669475950.\nAnswer: 1518","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 2852348 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d be 0*2\/(-6)*1. Suppose 4*o + 123 = 3*r, 43 = r - d*o - 2*o. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*i = -4*i + 8. Suppose -z = -0 - i. Suppose z*v - 65 = k, k + 6 - 3 = 0. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 8 divide 228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -1453.441 and -8?\nAnswer: 11627.528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is next in 5215, 14401, 29705, 51127, 78667, 112325?\nAnswer: 152101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 27*l**3 - 8 - 22*l**3 + 23.\nAnswer: 5*l**3 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) be the third derivative of g**8\/840 - g**7\/2520 - g**6\/360 - g**5\/120 - 5*g**4\/24 + 5*g**2. Let o(q) be the second derivative of x(q). Calculate o(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = 2*w**2 + w - 1. Let v be d(-2). What is the derivative of 4 + 5*t**4 - 2*t**4 - v wrt t?\nAnswer: 12*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((6*sqrt(104)*3 - sqrt(104)) + sqrt(104) + sqrt(104) - sqrt(104)*-2*6)\/(sqrt(72)*5 + (sqrt(128) - sqrt(128)*-1)).\nAnswer: 31*sqrt(13)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put -3, 2\/15, 18\/9569, 4\/3, 3 in descending order.\nAnswer: 3, 4\/3, 2\/15, 18\/9569, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 7 a factor of 256693?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Determine j, given that 4*j**2 + 34796*j + 104352 = 0.\nAnswer: -8696, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (256\/(-448))\/((-24)\/(-56)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Determine i so that -220*i**5 - 9457*i**4 - 114271*i**3 - 262440*i**2 + 3600*i = 0.\nAnswer: -20, -3, 0, 3\/220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 713 a factor of 886259?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = 2*h**2 - 8*h + 11. Give f(6).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -281184, -562371, -843558?\n\"Answer: -281187*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -16 divided by -8\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2 + 0 - (4 + (2 - 8) + 5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-2)\/(-26) - (-6 - (-1468)\/156 - 4). Let z be (2\/6)\/(2\/9). Let b = 0.3 + 0. What is the smallest value in 0.07, b, i, z?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -5*i**4 + 4 - 4 + 3*i**2 - 5*i**2 - 2 + 2*i**3 in the form u*i**4 + p + c*i**2 + h*i + x*i**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -3, 71, 185, 345, 557, 827?\n\"Answer: y**3 + 14*y**2 + 25*y - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -99\/1520 and 105\/152.\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = -4*f - 22. Let h be q(-6). Let u(y) = y + 7. Let r be u(-5). Let b(g) = -5*g**h - 6*g**2 + 5*g**r. Calculate b(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 13 and 1495?\nAnswer: 1495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*(-1 + sqrt(175) - sqrt(175)))**2 + -2 + 5.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 4, -0.5, -1, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert 3040 (base 11) to base 7.\nAnswer: 14525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 16655*b**3*c - 10*b*c + 3*b - 2*c - 199 wrt b.\nAnswer: 99930*b*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express -6*x - 4*x + 4*x + (3 + 0 - 1)*(6*x - 2*x - 7*x) as c*x + j and give c.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 14597 and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = 7*b**3 + 21*b**2 + 32*b + 91. Let u(k) = -3*k**3 - 11*k**2 - 16*k - 46. Let t(j) = 2*d(j) + 5*u(j). Let h be t(-12). Are 2\/65 and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = -14*w + 79 - 15*w + 51*w - 18*w. Let n be d(-19). Differentiate 33*i - 70*i - n + 29*i with respect to i.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-d + d + d**2)*(-15 - 6*d**2 + 15)*(-d + 3*d + 0*d) - d**5 + 6*d - 6*d.\nAnswer: -13*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -67*l**4*v**2 + 17*l**2*v**2 - 1394*v**2 wrt l.\nAnswer: -268*l**3*v**2 + 34*l*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = 69*v - 1435. Let m(q) = -149*q + 2873. Give 13*k(p) + 6*m(p).\nAnswer: 3*p - 1417","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 15552186, 15552183, 15552180, 15552177, 15552174, 15552171?\n\"Answer: -3*k + 15552189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = -5*f**3 - 2*f**2 - 3*f - 2. Let l(o) = 5*o**3 + 3*o**2 + 2*o + 3. Calculate -4*l(t) - 5*r(t).\nAnswer: 5*t**3 - 2*t**2 + 7*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = 2*o**3 + o**2 + 2*o - 11. Let n(w) = -2*w**2 + 175*w + 450. Let f be n(90). Determine b(f).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -84 + 165. Is f even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 25 divide -950*(-578)\/(-102)*3\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d\/(d\/(d*d**(-3))))\/d**5*(d*d*d\/((d**(1\/5)\/d)\/d)*d*d)\/(d**(1\/3)\/d))\/((d**2*d**0)\/(d**(-2)\/d*d*d\/(d\/(d**(-5)*d))*d)) assuming d is positive.\nAnswer: d**(-98\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i = 808 + -788. Solve -21*h = -i*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = 4*k**2 - 6*k + 2. Let x be u(5). Suppose 16 = -4*w, 5*l - 5*w - 18 = 2. Suppose i - 3*i + x = l. Calculate the highest common divisor of i and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1168 + 1106 - 137*h**3 + h**2 + 121*h**3 to d + m*h + y*h**2 + j*h**3 and give j.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-3 + 36\/10)\/(17 + (-588)\/35). Suppose -1\/3*z**2 - 4 - 10\/3*z + 1\/6*z**d = 0. Calculate z.\nAnswer: -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 6388 + -6260. Let c(q) = -q**3 + q**2 + 2*q. Let z be c(-2). What is the greatest common divisor of z and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 1\/10 of a milligram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.053 - -65.053. Let y = -60.7 + p. Round y to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 24 = -8*k + 7*k. Let x be (4\/(k\/(-1)))\/((-2)\/(-16)). Let g = -162 + 1456\/9. Which is the nearest to x? (a) 4 (b) g (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -57713, -57714, -57707, -57686, -57645, -57578, -57479, -57342?\n\"Answer: v**3 - 2*v**2 - 2*v - 57710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m be 0 - (7 + -1)\/3. Let y be 8 + (-7 + 3 - m). Let f = y + 9. What is the greatest common factor of f and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -38943509\/5895 - -33031\/5. Which is smaller: z or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = 13*p - 6. Let q(s) = s**2 + 11*s + 12. Let z be q(-10). Let n be u(z). What is the highest common factor of n and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 1711 - 1127. Let x = d + 159. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine j so that -34\/9*j**2 + 0 + 10\/9*j**3 + 4\/3*j = 0.\nAnswer: 0, 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = -n**3 - 136*n**2 + 412*n - 587. Calculate x(-139).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1493 - -1504. Let b be (-8)\/(1 - 27\/24). Suppose b - 174 = -2*h. What is the highest common divisor of o and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1958 and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*(1 + 0 + sqrt(363)))**2 + -2 + sqrt(363) + 2 + sqrt(363)*2 + -3 + -2.\nAnswer: 55*sqrt(3) + 359","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 1614*z + 1535*z - 48360 = -1574*z + 693*z for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) be the third derivative of -q**6\/600 + 7*q**5\/100 - 3*q**4\/5 + 34*q**3\/15 + 198*q**2. Factor g(f).\nAnswer: -(f - 17)*(f - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -4.41 + 2.41. Put m, 4\/3, -5, 2\/3 in descending order.\nAnswer: 4\/3, 2\/3, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 66 + -60. Suppose -4*q - 2*a + i = 0, q - 15 = 2*a + 2*a. Factor -5*z**2 - 81*z**3 + 38*z**q + 53*z**3 - 5*z**4.\nAnswer: -5*z**2*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.0374 * -67.\nAnswer: 2.5058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -14fd (base 16) in base 12?\nAnswer: -3139","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t be 24\/(-8) - (-1806)\/198. Let p = t + -60\/11. What is the smallest value in -6\/11, -7, p, -0.5?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 235890 and 252990.\nAnswer: 663086790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f = 2.4 - 2.4338. Let y = -468.0338 - f. Let h = 468.000000482 + y. What is h rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**(1\/2))**(-13\/5) assuming n is positive.\nAnswer: n**(-13\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 330 and 73722?\nAnswer: 368610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -404502, -404294, -404090, -403890, -403694, -403502?\n\"Answer: -2*r**2 + 214*r - 404714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f\/(f\/((f*f**(-1\/4))\/f)*f))**(4\/11)*(((f*((f**(-14)*f)\/f)\/f)\/f)\/f)\/f**(2\/15))**34 assuming f is positive.\nAnswer: f**(-93058\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} {"text":"Question: Calculate 4567*-0.2.\nAnswer: -913.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1744 - 1449. Let c = 1 - 1. Suppose -j = -5*k + 5*s, -3*k + 6*s - s + 179 = c. Is k a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4267195327 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from kbbbbbbbbkb. What is prob of picking 1 k and 3 b?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1099830, 2199658, 3299486, 4399314, 5499142, 6598970?\nAnswer: 7698798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -12.8 in -3\/2, -37.58, 5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 26*s - 6233 = 4765. Calculate the greatest common factor of 94 and s.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (13 + -17)*(-3062)\/(-28). Let r = k + 440. Factor 10\/7*w**3 + 0 + r*w**2 - 4\/7*w.\nAnswer: 2*w*(w + 2)*(5*w - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 1577 + -1509. Calculate the smallest common multiple of 680 and x.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together 6843.405 and -0.246309.\nAnswer: 6843.158691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 21453 is divided by 9827.\nAnswer: 1799","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = -4*v**2. Let q(n) = -2*n**2. Determine d(q(i)).\nAnswer: -16*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose g + c - 2 = 0, 5*g = -3*c + 6 + 2. Let l be (1 + g)*(-75)\/6. Let n be 15*5\/(l\/(-3)). Solve 3*w - n = -0*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: (-93)\/62*((-16)\/102)\/2\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) be the third derivative of r**5\/30 + 3*r**4\/8 + r**3\/2 + 4*r**2. Is 11 a factor of g(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 167250 and 320005.\nAnswer: 1115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = -p**3 + 17*p**2 - p + 22. Give h(17).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = -c**3 - 6*c**2 - 10*c - 20. Give y(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 131257 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 5907 and 1056.\nAnswer: 189024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4329400.\nAnswer: 2, 5, 21647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose c - 9 = 2*y, 0*c + c + y = -6. Which is smaller: -2\/15 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6 + 3262?\nAnswer: 3268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -92.3 (b) 0.6 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 33415956?\nAnswer: 2, 3, 7, 44201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j = 2.4 + -2.496. Let r = j - -0.0683. What is r rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 16062, 32035, 47996, 63939, 79858, 95747?\nAnswer: 111600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*j - 4*t = 3, -61 = -5*j - 74*t + 62*t for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-31)\/6 - (-1)\/12*2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -4 - 141?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = 2*f**3 - 14*f**2 - f + 11. Let b be o(7). Let x = 2 - -1. Solve -2*v - b + 2 = 2*p, 0 = -x*v - 4*p - 7 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 30157424 and 222772?\nAnswer: 2503066192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1921 in -2\/15, -1, 12, 58\/3, 3, -0.2?\nAnswer: 58\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from hawko. What is prob of picking 1 a and 1 h?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -16 in -4, -2\/79, 19.6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 16882.\nAnswer: 2, 23, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.266 + 13.166. Let m = 13 - q. Which is the nearest to m? (a) 3 (b) -0.4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 22 + 10 + (-12 - 62) + -19\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) be the first derivative of -2*n**3\/3 - 3*n**2\/2 - 2*n + 2. Let w be 1 + (-2)\/2 + 1. Suppose 3*i + 3 = -x - 2, 0 = -i - w. Give m(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: de721 (base 16) to base 14\nAnswer: 19a093","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 792 and 440?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2 + -1 + -2 + (-2*(-1 + sqrt(931) + -2 - sqrt(931)) - (-5 + (0 + sqrt(931))*-1)))**2.\nAnswer: 84*sqrt(19) + 967","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ttotoowttw. Give prob of picking 1 o and 1 t.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 18 and 345.\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/9 in 1\/5, 1\/10, 0.3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:18 PM and 12:18 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*s = 94 + 30. Suppose -58*q - 500 = -s*q. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -5*u**3 - 4408*u**2 - 72071*u - 238740 = 0. What is u?\nAnswer: -865, -12, -23\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:59 AM and 4:10 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1196 and 338.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = -a + 16. Let h be t(-12). Factor -g**2 - 6*g**2 - 9*g**3 + h*g**4 - g**2 - 11*g**3.\nAnswer: 4*g**2*(g - 1)*(7*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 + 6 = -d. Let a(k) = -7*k + 8. What is the remainder when a(d) is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine o, given that o**4\/2 + 10194*o**3 - 2211555*o**2\/2 + 20624021*o - 106640688 = 0.\nAnswer: -20496, 11, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = a**2 + 2*a + 4. Let y be h(-3). Let w(j) = j**2 - 4*j + 5. Let t(c) = -2*c**2 + 7*c - 9. What is y*w(l) + 4*t(l)?\nAnswer: -l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose l**3 + 116*l**2 + 719*l - 4796 = 0. Calculate l.\nAnswer: -109, -11, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 5 - -2231?\nAnswer: 2240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -188*g**4*z**2 + 3*g**3*z**3 - 2*g**2*z - g*z**3 + 53*g*z wrt g.\nAnswer: -4512*g*z**2 + 18*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -798365*h**4 + 656405.\nAnswer: -3193460*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Convert 3297.762 micrograms to kilograms.\nAnswer: 0.000003297762","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -93, -110, -161, -252, -389, -578?\n\"Answer: -b**3 - 11*b**2 + 23*b - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 2620487102 to the nearest integer?\nAnswer: 1379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 34750, 69403, 104056, 138709?\n\"Answer: 34653*k + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-4)\/(-1) - (0 - 2). Suppose q = v - 11. Solve 0 = -5*i + 4*z + 11 + 5, 3*i + 5*z = v for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -3\/2 at least as big as -290642?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -168.6 * -574.9\nAnswer: 96928.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 133, 5, -328, -3, 7 in descending order.\nAnswer: 133, 7, 5, 1, -3, -328","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = -t**3 - 7*t**2 - 2*t + 9. Suppose -3*p = -2*w + 1, -3*w - 37 - 9 = 5*p. Let s be x(w). Suppose -5*d = y - 14, y - s = 4*d - 0*d. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 7\/(7 + 7\/(-2)). Let b(j) = 211*j**3 + j - u*j**2 + 0*j - 186*j**3. Calculate b(1).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 524 divide 175071963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 1987 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Does 9 divide 19640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 7.9*208\nAnswer: 1643.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 399, 1944, 4639, 8484, 13479, 19624, 26919?\nAnswer: 35364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 35789.\nAnswer: 13, 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 105742008?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00907 to 3 decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 2333010475, 2333010473, 2333010471, 2333010469?\n\"Answer: -2*k + 2333010477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -102, -110, -130, -168, -230, -322?\nAnswer: -450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 4233037 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 5 (b) 2 (c) 0.4 (d) -4 (e) -39 (f) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 2 + 8?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = -c**3 - 14*c**2 - 2*c + 14. Determine w(-14).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 g, 1 o, and 1 s when three letters picked without replacement from zazoaaoosozgzzo.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) be the first derivative of 26 + 2*k - 5 + 3 + 32*k**2 + 29. Let p(l) = -2*l**2. Give z(p(r)).\nAnswer: -128*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -1 times -59910.974\nAnswer: 59910.974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-one fifths of a hour in minutes?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 64240290.57 + 176.8\nAnswer: 64240467.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) 3242 (c) -525 (d) -0.5 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 32\/33 and 47\/176.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find z, given that 10*z**4 - 3056*z**3 - 4294*z**2 - 1228*z = 0.\nAnswer: -1, -2\/5, 0, 307","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = -4*l**2 - 47*l + 736. What is z(8)?\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1.1 + 5.1. Let q be (-7)\/(-6) - 4\/6. Let y(h) = -7*h - 85. Let i be y(-12). Which is the smallest value? (a) j (b) q (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Add -0.048 and -162.6789.\nAnswer: -162.7269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c - 80 = -8*c. Factor -c*d**2 + 0*d**3 + 0*d**3 - 69*d**4 + 71*d**4.\nAnswer: 2*d**2*(d - 2)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*t - 20*t + 4*t)*(-590*t + 696*t - 45 + 42).\nAnswer: -2014*t**2 + 57*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 536 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 529 is divided by 195?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 2*n**4 + 2*n**2 + 140983*n - 2097984.\nAnswer: 8*n**3 + 4*n + 140983","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is (((-1)\/(-1))\/11)\/((-19)\/(-114))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x = -58 - -62. Let g = x + 429. Suppose 14*y - g + 83 = 0. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 18607 is divided by 8354.\nAnswer: 1899","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*f - 9 = 3*o, -22*o = 4*f - 11*o - 39 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 16715 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 406015 is divided by 13956?\nAnswer: 1291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f = -446\/5 + 89. Let j = 1\/20 - f. Let p = 1.7 + 0.3. What is the closest to p in -2, j, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:52 AM and 6:42 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -158629 - 41?\nAnswer: -15866a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*x - 34 - 38 = 0. Suppose o - 2*h - x = -5*h, -2*h = 2*o - 16. Solve -o = -4*s + 2*c + 4, 0 = 2*c - 10 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-5*3)\/3 + 2. Let u = -56545 + 56545.1. Which is the nearest to -12\/5? (a) u (b) 2\/15 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -33314*r*u**2*z + 116*r*u**2 + 3*r*u + r*z - 3*r - 3 wrt z.\nAnswer: -33314*r*u**2 + r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 14780?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) be the second derivative of -p**6\/45 - p**3\/6 - 2*p. Let g(r) be the second derivative of s(r). Let a(u) = -2*u. Give g(a(z)).\nAnswer: -32*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 7080 divided by -1770?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -363406, -363430, -363460, -363496, -363538, -363586, -363640?\nAnswer: -363700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 23\/6 of a year in months?\nAnswer: 46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c be 1\/4 - 92\/(-16). Suppose c*z = 365 + 937. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 2 - -126a2a1?\nAnswer: 126a2a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert -1000 (base 2) to base 5.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -173437 divided by 50\nAnswer: -173437\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o = -515 + 573. What is the remainder when 93 is divided by o?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 966\/621 - (-28)\/(-18). Let l(s) be the third derivative of 1\/4*s**4 - 27*s**2 + w + 2*s**3 + 0*s. What is the first derivative of l(x) wrt x?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = 2*q**2. Let u(t) = 1359219*t + 1. Give u(i(c)).\nAnswer: 2718438*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.084, -0.1, -2, -4 in ascending order.\nAnswer: -4, -2, -0.1, -0.084","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 11\/25 > -1084?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4821578 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*n - 32 = 38*i - 43*i, 2*i = 5*n - 105 for n.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2939163653.\nAnswer: 2939163653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i be 66\/44*28\/3. Is i greater than or equal to 90\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = c**3 - 12*c**2 + 2*c - 22. Let a be b(12). Suppose 0 = -4*j - 1 - 11, -5*d - j = -7. Suppose a*p - p = -3*q + d, -2*q + 12 = 2*p. Sort -5, p, 1.\nAnswer: -5, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 100679592 and 120315?\nAnswer: 503397960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j - 2*m = -231, -6*j + 351 = 3*m - 102. Solve -j*a - 40 = -63*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-2)\/4)\/((-1)\/22). Let g = -5 + j. Let b = g - 1. Calculate the lowest common multiple of b and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be -9*(-3 - (-44)\/12). List the prime factors of (-6280)\/(-35) + 1*h\/14.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = 65*h**2. Let z(s) = -2940*s. Give v(z(m)).\nAnswer: 561834000*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (8\/96*-6)\/(10\/140).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w + 116 = 3*o - 39, 0 = -4*w - 4*o + 300. Does 12 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -367*x + 119*x - 1238*x**2 + 128*x + 120*x in the form z + i*x + s*x**2 and give s.\nAnswer: -1238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = g**3 - 4*g**2 + 3*g + 2. Suppose 5*f = -8*f + 104. Let o = 11 - f. Let y be (84\/(-9))\/(-7)*o. Calculate i(y).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (72\/(-15))\/(3\/(-15)). Let v = 146 - 84. What is the remainder when v is divided by (-18)\/z - 134\/(-8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = -3*y**2 + 3*y + 61. Let f(n) = 2*n**2 - n - 2. Let u(r) = -2*f(r) - o(r). Calculate u(0).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -18, -8, 10, 42, 94, 172?\nAnswer: 282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b = 138 - 138. Suppose b = 59*z - 66*z + 7. Let k(f) = -2*f**2 + f + 1 - 1. Calculate k(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2 - 4)\/(-2 + (-16)\/4).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 0.2, -7, 0, 5, 1545?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 897*y**3 + 509*y**2 - 2*y wrt y.\nAnswer: 5382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 9 - (-5 + 11) - (0 + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = i. Let l(n) = -3773*n**2 - 1. What is b(l(o))?\nAnswer: -3773*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:29 PM and 12:15 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = -2*l**3 + 46*l**2 - 39*l + 901. Calculate a(23).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -10? (a) -5\/6 (b) 2 (c) 4 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is (728783\/17435)\/(22\/40)?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*v + 264 - 96. Let z = 83 + v. Let d = -962 + 1863\/2. What is the common denominator of z and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1676231 is divided by 198?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*t + 3*v + 23 = 0, v = 2*t - 3 + 10. Put 1, 3, t in decreasing order.\nAnswer: 3, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {a: 3, n: 10, b: 1, h: 1}. Give prob of picking 1 h and 1 a.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-1592)\/(-6)*(-7 + 4). Let d be 8\/(-52)*-1 - l\/234. What is r in -16\/9*r + d + 2\/9*r**2 = 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.44271g in nanograms?\nAnswer: 442710000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z - d = 3*z + 278, 5*d + 15 = 0. Let c = 60 + z. Solve c*l = 2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -26\/1145 - -129697\/13740. Calculate the common denominator of -32\/33 and z.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ffn when three letters picked without replacement from nfofonof.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l be (2\/(-4))\/((-40)\/160). Suppose 61 = m - 5*q - 390, -l*q - 4 = 0. What is the highest common factor of m and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 31 + -67. Let l = -36.00000075 - g. Round l to seven dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 221 is divided by 45?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) be the third derivative of -j**5\/30 - 101*j**2 + j. Let h(g) = -g - 170. Give h(d(q)).\nAnswer: 2*q**2 - 170","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 95357809 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 13550 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: Suppose -4*k + 138 = -2*v, 705*k - 108 = 702*k + 2*v. Calculate the remainder when 3296 is divided by k.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0.0389 + -0.1389. What is the nearest to j in -1, 0.13, -1\/3, 0.4?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*sqrt(49)\/(6*sqrt(175)) + (sqrt(343)*2*-5 + -3 + 0 + sqrt(343))**2.\nAnswer: 2269*sqrt(7)\/6 + 27792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ddggddddddddgdd. What is prob of sequence gg?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 4 + 5*v**2 + 14*v**2 - 7 + 16*v**5 wrt v?\nAnswer: 960*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 151*t + 2221491 + 562949 = 0. What is t rounded to the nearest 1000?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 143 and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from wfwwwfvvvwwvvw. Give prob of sequence fv.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-1 + 2)*-2*2. Let h be (-2)\/(-4)*496\/1240. Put g, h, 17 in descending order.\nAnswer: 17, h, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7 = -6*q + 11. Let p be 3 + -1 - (-3)\/q. Solve 2*s - 5 = 5*x, p*x + x = 3*s + 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 110, 635, 1520, 2771, 4394?\n\"Answer: x**3 + 174*x**2 - 4*x - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (6 - -1) + -6 + -3 + -4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = 59*m**3 - 2*m**2 + 4*m + 1. Let w be f(2). What is the greatest common factor of w and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 14580? (a) -0.5 (b) 0.4 (c) -1\/4 (d) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 0.1, 15, 2\/11, -23?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 17148 and 28580.\nAnswer: 85740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:46 PM and 3:53 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Does 22 divide 14\/49 - 4000\/(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-3 - 85\/(-15))*-1*12)\/(-2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -40? (a) -9 (b) 2\/11 (c) 2 (d) -0.06 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 7, -10, 3, -1 in increasing order.\nAnswer: -10, -1, 2, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 10200101 + 1222022?\nAnswer: 12122200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:18 PM and 5:14 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 8608579 to the nearest integer?\nAnswer: 2934","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 9.009259 nanograms?\nAnswer: 0.000009009259","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {g: 5, r: 6, l: 2}. Give prob of picking 2 g.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -53526 divided by 811\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2910, 9955, 25296, 53079, 97450, 162555?\nAnswer: 252540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z = 713 + -728. Let p be (-456)\/(-80) + (-12)\/z + -5. Factor -3*d**3 + 9\/4*d + 3\/2*d**2 + 0*d**4 - p + 3\/4*d**5.\nAnswer: 3*(d - 1)**3*(d + 1)*(d + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) -2 (b) -1 (c) -9 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -121*(-7254)\/11253 - (-1 - -38)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 0\/(-3 - -4) - (-12)\/(-3). Let y(s) = -s**3 - 4*s**2 - 2*s - 3. Give y(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express q - 18 - 9 - 15 + 11 in the form g*q + v and give v.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence kf when two letters picked without replacement from fkfffffffffk?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m = -122\/431 - -41487\/120680. Find the common denominator of -79\/4 and m.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (4\/15)\/((56\/(-20))\/7)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) be the second derivative of -3*w**4\/4 + 11*w**2\/2 - 43*w. Let g(l) = -2*l**2 + 2. Calculate -11*g(x) + 2*v(x).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = 9*a. Let u(v) = 49*v**2 + 60*v**2 - 178*v**2 + 57*v**2. Give u(r(j)).\nAnswer: -972*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} {"text":"Question: What is the value of (-63)\/(-54)*(2 + 172\/(-56))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 25075.\nAnswer: 5, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 176 minutes before 5:04 PM?\nAnswer: 2:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Does 13 divide 471901?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 126765.\nAnswer: 3, 5, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate (9\/(-405)*-12)\/(-4).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*j + 4*b + 28 = 0, j + 14119 = 3*b + 14136 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = -2*k**3 - 3*k**2 - 2*k + 4. Let a = 9 + -5. Suppose -2*x = -4*x + 80. Let d = -29 + x. Let p(f) = 5*f**3 + 8*f**2 + 5*f - 11. Give a*p(i) + d*r(i).\nAnswer: -2*i**3 - i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/3? (a) 3\/113 (b) -39 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (d**4 + 0*d**4 - 2*d**4 + (d - 3*d + 0*d)*(3*d**3 - 3*d**3 - d**3))*(6*d - 3*d - 5*d).\nAnswer: -2*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00012092464 to 5 decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = 3*b**2. Let j(o) be the third derivative of -59*o**5\/15 - 308*o**2 + o. Give r(j(a)).\nAnswer: 167088*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate -24*(7\/10)\/((-11830)\/12675).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -14*r + 8*r + 2370. Suppose 5*a = 6*a - 4*s - r, 2*a - s - 755 = 0. List the prime factors of a.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4589.\nAnswer: 13, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n + 32 = 4*r, 19 = 4*n - 5*r + 54. Let d(f) = f + 6. What is d(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 3804 and 1133712.\nAnswer: 359386704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b + 91 = -95. Suppose -2*i = -4*i + b. What are the prime factors of 20\/25 + i\/5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = t**2 - 3*t + 15. Let x be v(7). Let r = 61 - x. Is 1158\/4 - r\/(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-8)\/(-10)*345\/23. Suppose -640 = h*v - 8*v. Round v to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2 + 485936*c - 486399*c + 2.\nAnswer: -463*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.2 + 0.1. Suppose -28 = 21*r - 25*r. Which is greater: r or l?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 300, -2, 9 in descending order.\nAnswer: 300, 9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 12*j**2 - 403229*j + 201616*j + 201613*j.\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = -39*h + 116. Let f be l(3). Is 5\/3709 equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 294289369 to the nearest integer?\nAnswer: 665","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 1381261, 1381262, 1381263, 1381264, 1381265?\n\"Answer: g + 1381260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1 + -1 - 65\/13?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is (-19 + 549\/27)\/((-2)\/(-9))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-882)\/21*(0 - -6)\/(-2). Suppose -i = -5*g + 135, -4*g - i + 185 = 68. Calculate the greatest common divisor of g and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 29 = 4*f - 35. Suppose -18*j = -f*j. Suppose 0*k + 3*b + 2 = 2*k, -2*k - 2*b + 22 = j. Solve 0 = 2*l - 5*l + 4*p + 2, -k = -l - 5*p for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -31 - -218. Let l = 191 - t. Solve -9*j - 20 = -l*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a = -4*a + 12. What is the greatest common factor of 132 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = 2*p + p. Suppose 3*c + 32 = -c + 3*s, 0 = 4*c - s + 24. Let h be (-6)\/837*((c - 1) + 3). Which is bigger: p or h?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**(-5)*k)\/((k**6\/k)\/k*k)*(k**(-1\/2))**(-7\/10)*(k\/k**(2\/7))**(6\/5)\/(k*k*k**0*k)**(-8) assuming k is positive.\nAnswer: k**(2269\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1 + 4. Let d be ((-120)\/9 + -1)*q. Let b = d - -62. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 40*f = 39*f - 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = -v - 1. Suppose -j - j = 6, 12 = -a - 4*j. Suppose 2*o - 3*o - 6 = a. What are the prime factors of u(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 117.7 + -110. Let w = -8 + h. Which is smaller: 0 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.07 + -0.07. Let v = y - 5. Let l = 4.999988 + v. What is l rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 27451211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/16 of a kilometer in centimeters?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x = -161 - -160. Let f be ((-4)\/12 - x)\/(9\/648). What is the greatest common factor of 264 and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -11305 divided by 11305?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Divide 693974 by -1272.\nAnswer: -346987\/636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6*j + 9*j + 15*j)*(0 + 0 + 2).\nAnswer: 36*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(14) - sqrt(56))\/sqrt(2) - sqrt(7)*1*-4 - sqrt(49)\/(sqrt(14)\/(-2*sqrt(2))))**2.\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 48012 divided by -4?\nAnswer: -12003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 855.9448 nanometers in millimeters?\nAnswer: 0.0008559448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m = 5382.7 - 5367.7. Let o = -0.1 + 0. Let h = 0.06 - 0.36. Which is the closest to o? (a) h (b) m (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -2, 1, 0.\nAnswer: -3, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r**8\/r*r)\/r**2)**(1\/20)\/((r**(-2)*r)**(-33))**(-17) assuming r is positive.\nAnswer: r**(5613\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r be 6\/39 + (-6441244)\/26. Let s = 253696 - r. Let i = 761436 - s. Round i to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*-2*sqrt(70))\/sqrt(10).\nAnswer: -6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -0.32935 or -0.5?\nAnswer: -0.32935","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -509121*q**2*y + 353*q*y - 2*q - 145*y + 2 wrt q.\nAnswer: -1018242*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 0.5, 1.1, 3\/5, 11?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round -442628.9 to the nearest 10000.\nAnswer: -440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u - 28 = -13. Suppose z - 3*z + 9 = -u*t, 0 = -5*z - 2*t + 8. Suppose -z*p - 104 = -s, s = 6*s + 5*p - 520. What is the tens digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 10912797 is divided by 216?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -1, -161\/45, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 100591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 74*p**3 + 367*p**3 - 278*p**3.\nAnswer: 163*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*i**3 - 2*i**3 - 3*i**4 + (-4 + 4 + 1)*(i**2 - i**2 - 2*i**3)*(7*i - 4 + 4) to the form d*i**4 + s + o*i**3 + g*i + h*i**2 and give d.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 10634*b*f**4 - 337*b*f - b - f**5 + 2*f - 2 wrt f?\nAnswer: 127608*b*f**2 - 20*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0*1\/(-1) - (-22)\/(-176)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -64*m**3 + 537*m**3 - 2335*m**3.\nAnswer: -1862*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*q + 6 = 2*p + 2*q, -5*p + 17 = 3*q. Suppose 0 = 5*w - 2*n - 57, -3 - 30 = -w - 5*n. Calculate the remainder when w is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 61 - 152.76689884.\nAnswer: -91.76689884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose l - 4*s = 17, -2*l - 28 = 4*s - 2. Let b be 2\/l*(-8 - -2). Suppose 4*w - 12 = 3*w. Solve -m + 5*c + w = 0, 0*m = b*m + c + 15 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.52 + 0.12. Let o(h) = h - 1. Let m be o(-3). Which is the second biggest value? (a) 3\/5 (b) u (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify u*u**(6\/13)*u**(-2\/101)*(u\/u**16)**(-3\/5) assuming u is positive.\nAnswer: u**(13710\/1313)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 79771 and 3499079?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000064356 rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 520 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 90, 177, 278, 399, 546, 725?\n\"Answer: v**3 + v**2 + 77*v + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d be 6*(-4)\/18*-12. What is the highest common divisor of 64 and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 12624522 (base 10) to base 15.\nAnswer: 11958ec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = -4*t**2 - 13*t - 2. Let g(w) be the third derivative of -w**5\/30 - 7*w**4\/24 - w**3\/6 + 3*w**2. Calculate 11*g(n) - 6*h(n).\nAnswer: 2*n**2 + n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -34710 divided by -3?\nAnswer: 11570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {e: 1, c: 2, h: 1, g: 2, p: 1, a: 1}. What is prob of picking 1 g and 2 c?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c be 2 + 0 - 4\/2. Suppose 15 = 3*l - 5*r - 1, -2*l + 4*r + 12 = c. Find the third derivative of l*d**2 + 7*d**5 - 3*d**5 - 4*d**2 wrt d.\nAnswer: 240*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = 12*n**3 - 33*n**2 + 31*n - 8. Let x(f) = f**3 - f**2 + f. Suppose 9*v = 4*v - 2*k - 20, 3*v - 2*k = -28. Let z(b) = v*x(b) + 2*a(b). Factor z(j).\nAnswer: 2*(j - 2)*(3*j - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5353141.\nAnswer: 2237, 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = 3*j - 13. Suppose -4*c = 3*o - 34, 26 = 4*c - j*o - 20. Suppose -x + c = 2. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -g + 374*g**2 + 7 - 187*g**2 - 188*g**2 - 4*g in the form x*g + l + i*g**2 and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.3? (a) 3 (b) -2 (c) -2\/3 (d) 2\/21 (e) -1\/12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -122\/3 in 0.4, 1.7, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 10 minutes after 12:22 AM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 465693504 to the nearest integer?\nAnswer: 775","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 55 (b) 0 (c) 0.096704 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round 4186077.776 to the nearest 100000.\nAnswer: 4200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0.116 - -0.824. Let n = j - 1.44. Which is the third smallest value? (a) -4\/5 (b) n (c) 1 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 620027 is divided by 877?\nAnswer: 865","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*o - 53 - 1 = 0. What is the third derivative of -3*p**5 - 5*p**3 - 9*p**2 - o*p**2 + 4*p**5 + 53*p**2 wrt p?\nAnswer: 60*p**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + -1*(-1*sqrt(76) + sqrt(76) + sqrt(76) - (sqrt(209) + sqrt(209)*-1)\/sqrt(11)).\nAnswer: -2*sqrt(19) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) be the first derivative of 1\/2*t**2 + 157 - 3\/5*t**5 - 1\/6*t**6 + 0*t**3 + 0*t**4 - 26*t. What is the second derivative of a(h) wrt h?\nAnswer: -20*h**3 - 36*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = k**3 + 2*k**2 - k. Let w(b) = b**3 - b**2 - b. Let c(h) = -4*w(h) - 2*x(h). What is the second derivative of c(f) wrt f?\nAnswer: -36*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 51.31311581 rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25*w + 21*w + 704 = 2*v, -5*w = 2*v - 877. What is the remainder when 1556 is divided by w?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 275 + 342 = -4*a - 5*g, 0 = -4*a + g - 611. Let n = a + 174. Calculate the smallest common multiple of n and 70.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (f - 6 + 2 - 3)*(5*f**2 + 0*f**2 - 3*f**2)*(0*f + 0*f + 2*f) in the form m*f**4 + u + z*f + h*f**3 + x*f**2 and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 3, -4, -71, -1 in ascending order.\nAnswer: -71, -4, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = -3*m - 9. What is the remainder when 43 - ((-1)\/1 + 1) is divided by f(-8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2957788299.\nAnswer: 3, 17, 1409, 41161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s be 4 - -2*3\/(-6). Let x = -471 - -475. Factor -12*r**2 - x*r**s - 9696 + 16*r + 9696.\nAnswer: -4*r*(r - 1)*(r + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -148*z**4 - 9*z**2 + 2.\nAnswer: -3552*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 210 and 3850.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-9)\/(18\/14) - 1*-11.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence coc when three letters picked without replacement from ccdctocsddcsdccddd?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*t = -20, 5*y - t = 4*t + 45 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 851.040351 nanoseconds in weeks?\nAnswer: 0.0000000000014071434375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3 + 48*n**3 - 15 + n + n**2 - 20*n**3 - 11*n**3 - 15*n**3 + n**4 to the form c*n**3 + u*n + g*n**2 + r*n**4 + j and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -15604822*i**2 - 15604814*i**2 + 31209638*i**2.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = 6*b + 6. Let z = 124 - 80. Let t = -41 + z. Suppose 0*s = -t*s - 3*d + 9, -5*s - 4*d + 20 = 0. Let j(r) = 2*r + 2. Calculate s*j(v) - 3*x(v).\nAnswer: -2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify r**(-9\/2)\/r**(-9)*(r\/r**(-9))\/r**(-13) assuming r is positive.\nAnswer: r**(55\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Product of 50635 and -11.\nAnswer: -556985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 52\/5 of a millennium in years?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 43 = 5*y - 47. Suppose -2*l = -b + 4, -4*l - b = 6 - 4. Let x be (l - 4\/8)*12\/(-2). What is the greatest common divisor of y and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 41.67 - 38.67. What is the third smallest value in h, 5, 2\/15?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 752, 2, 0.\nAnswer: 0, 2, 752","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -13 + 16 - (-2 + (1 - 1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Do 0 and -51\/7412726 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 45049.42ml?\nAnswer: 45.04942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = -z**3 + 11*z**2 - 10*z + 5. Let o be m(7). Let q = 134 - o. Solve 5*i = -5*u - 5, -4*u + q*u - 11 = -4*i for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d = 8*d - 10. Let g = d - -10. Is (249\/(-9))\/((-2)\/g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 47, 41, 13, -49, -157, -323?\n\"Answer: -2*f**3 + f**2 + 5*f + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -60356236*i**3 - 1270*i + 24712 wrt i?\nAnswer: -362137416*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i = 88 - 85. Suppose 13 = -i*r + 13. Solve 2*a + r = 2*q + 4, -2*a + 4 = -q for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 329252 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Round -17483.17 to the nearest one hundred.\nAnswer: -17500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:25 PM and 2:39 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + sqrt(1053)*-2*3*1.\nAnswer: -54*sqrt(13) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 288179651 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a = 261 + 184. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-6*q + 0*q + 0*q)*(q**2 - q**2 + 2*q**2 + 3*q**2 - 3*q**2 + 3*q**2 + (q + 2 - 2)*(-2*q + 2 - 2)) in the form x*q + b*q**3 + h*q**2 + o and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) be the second derivative of 15*f + 0*f**2 - 29\/10*f**6 + 0*f**4 - 9*f**3 + 0*f**5 + 0. What is the second derivative of r(c) wrt c?\nAnswer: -1044*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-q + 0*q + 3*q)*(2*q**3 + q**4 - 2*q**3) - 3*q**5 + 4*q**5 - 7*q**5 + 7*q**5 - 3*q**5 - 2*q**5 + (-7*q**2 + 4*q**2 - q**2)*(q**3 + q**3 - q**3).\nAnswer: -6*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Express (-o + o + o)*(4*o + o**2 - 4*o) + (55*o - 19*o**3 + o**3 - 31*o)*(0 + 1 - 2) in the form i*o**2 + f*o + y + l*o**3 and give l.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 5 + 1ed39?\nAnswer: 1ed3e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.625 and -5.\nAnswer: -3.125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9*j**3 - 15*j**3 - 10*j**3 + 40*j**3 + 7*j**3 - 18*j**3.\nAnswer: -5*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 6506951431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = j + 4*d + 1, 0 = -d. Suppose 2*u - j = u. Find l such that -4*l + 2*l + l**u + l = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 145\/5508 and 19\/2040.\nAnswer: 55080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 104479739.\nAnswer: 7, 13, 17, 67537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 0.6398757 litres?\nAnswer: 639.8757","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 2892525228 to the power of 1\/3, to the nearest integer?\nAnswer: 1425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(6*(sqrt(60)\/(1*sqrt(48)) + (sqrt(5) + (sqrt(5) - (sqrt(70)\/sqrt(2))\/sqrt(7)))*6)*6)**2*6.\nAnswer: -3285360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 0 - -163?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*d = 12*i - 7*i + 41, -4*i - 24 = 2*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -5345.9209 - 33\nAnswer: -5378.9209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = 5*i**3 + 22*i**2 + 20*i - 1. Calculate a(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:16 PM and 4:28 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j = 2 - 4. Let o be (-7)\/(-14) + (-15)\/j. Suppose -20 = 3*y - o*y. Solve 15 + 5 = y*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 57 - 57.3. Which is the biggest value? (a) -2 (b) 1\/5 (c) g (d) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -898*x - 2 = -899*x, -5*x + 10 = -3*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 0 (b) -47 (c) 1 (d) -3 (e) -0.3 (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x = -441 + 1208. What is the greatest common divisor of x and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:34 PM and 5:43 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -15609 or -15607?\nAnswer: -15609","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 318 minutes after 10:32 PM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1067.\nAnswer: 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 502 a factor of 21563751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify t**3*t**(-18)\/t assuming t is positive.\nAnswer: t**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = p - 1. Let t be 2\/p - 14\/(-4). Let c = t + 7. Solve -3*h = 3*d + 15, -3*d = -h + 2*h + c for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = q**2 - 2*q - 1. Let j be n(-1). Let c be ((-12)\/j)\/(9\/6). Let w(h) = h**3 + 4*h**2 - 2*h + 1. Does 3 divide w(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 3507*i**6 + 7283*i**4 + i**2 - 9140873*i wrt i?\nAnswer: 420840*i**3 + 174792*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from sgggggguugs. What is prob of sequence gsuu?\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*c = 61 - 21. Let x = -5 - c. Suppose 2*j = -x*j + 5. Which is greater: j or 1\/4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.11? (a) 1 (b) 1\/4 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6598 is divided by 262.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -89, -85, -81?\n\"Answer: 4*h - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3216*m**2 + 7 - 3217*m**2 + 2 - 3 + 9646*m**2 - 3221*m**2.\nAnswer: -8*m**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*f = -6*f + 18. Let p be -7 + f - (-211 + 0). Suppose 3*l + 21 - p = -5*o, 4*l = 2*o - 64. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 10\/((-400)\/(-8))*35275\/85?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from vyyyyyoyyov. What is prob of picking 1 v and 2 y?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 88 minutes after 6:34 PM?\nAnswer: 8:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h = -1072 + 9676\/9. Find the common denominator of h and -19\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -7 - -17. What is the greatest common divisor of 25 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 266 minutes after 1:57 PM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 21 - 22 + 278*v**3 + 14*v**2 - 5*v**4 + 4*v**4 - 276*v**3 - v + 4*v to the form u*v**3 + a*v**2 + d*v**4 + m + p*v and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -15528.8386 - -0.1?\nAnswer: -15528.7386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 113203 - 130?\nAnswer: 113013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -12\/523135 and -41\/1046270.\nAnswer: 1046270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 538 minutes before 3:22 PM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 691080359?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 5 + 8572?\nAnswer: 8577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is next in -31637, -31639, -31641?\nAnswer: -31643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -180 = -3*b + 33. Suppose b = 3*r - 1. Suppose -y + 5*l = 4*y - 315, 0 = 5*y - l - 303. What is the highest common factor of r and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = -f**3 - 31*f**2 - 31*f - 37. Calculate q(-30).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = 4 - 4 + 4*v + 2 + 13*v**2. Let t be q(-2). Suppose -5*p + 4 + t = 0. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = 6*x**3 - 3*x**2 + 3*x + 9. Let u be 23\/(-7) - (-18)\/63. Let v(o) = -o**3 - o**2 + o. Let w(r) = u*v(r) + j(r). What is the derivative of w(q) wrt q?\nAnswer: 27*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 137 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = -15*k**2 - 319*k + 369. Determine u(-22).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -33463 times 0.03\nAnswer: -1003.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-5 - (-8)\/8) + 5. Let t(g) be the first derivative of 0*g**3 + 0*g - 4*g**2 + 1\/4*g**4 - k. Find the second derivative of t(j) wrt j.\nAnswer: 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 201*d = 56*d - 2900 for d.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*x + 2*x = 5*c, 2*c - 5*x = 0. What is the least common multiple of 6 and (23 - (c - 1))*5\/10?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -103*f - 23668 = -23050 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 1356\/183625*25*5\/2?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i**(2\/7)\/i*i*i**(-6)*i)\/((i**4\/i)\/((((i*i**5)\/i)\/i)\/i)))**(-23) assuming i is positive.\nAnswer: i**(759\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = m - 4*m + m. Let s(i) = 21*i - 14. Let n(g) = 4*g - 3. Suppose 0 = -7*d + 5 + 16. Let h(x) = d*s(x) - 14*n(x). Give h(v(c)).\nAnswer: -14*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Does 75 divide 23158125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -80678 + 81552 = -46*s for s.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4 + (sqrt(120)\/(sqrt(288)\/sqrt(9)))\/(4*sqrt(500)*1) + 2)**2.\nAnswer: 3*sqrt(3)\/20 + 230403\/6400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 4322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*o + 3*c + 2 = 0, 42 = 2*o - 3*c + 47 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*j - 3*j - 24 = 0. Let f = j - -23. Let b = 15 + f. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = -10*u + 75. Let o be r(-25). What is the greatest common divisor of o and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (231\/(-22) + 12)\/(39\/(-286))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*j - d = -5 + 16, -2*d = -5*j + 19. Suppose -7*k + 1378 = -j*k + 5*h, -k - 5*h = -337. List the prime factors of k.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 76136206 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -326031 - 223?\nAnswer: -326254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = -y + 1. Let p be -26 - 1210\/(-33)*(-6)\/(-11). Let o(u) be the third derivative of 0 + 2\/3*u**3 - 1\/3*u**4 + 0*u + u**2. What is p*i(z) + o(z)?\nAnswer: -2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(242) - (-2 + sqrt(242))*-3)**2.\nAnswer: -528*sqrt(2) + 3908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ezuaczuuzcd. Give prob of sequence zua.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*v - 44 = -36 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 13\/5 of a millimeter?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 + 0 - 1)*(16*a - 24*a - 41*a) + (3 - 4 + 2)*(-a - a + a).\nAnswer: -99*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 149944 is divided by 402.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -1, 75241, 264.\nAnswer: -1, 5, 264, 75241","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 4981?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is ((-564)\/(-63))\/(2846\/(-29883))?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 269513 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round -217499.227 to the nearest 1000.\nAnswer: -217000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {s: 3, e: 4, w: 5}. Give prob of sequence wew.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 324 and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = 100*l + 10. Let r(f) = -14*f. Let u(i) = 14*r(i) + 2*w(i). Determine u(-10).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -9303, -37226, -83763, -148914, -232679, -335058, -456051?\nAnswer: -595658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = -1192*r - 73. Let a be i(-9). Let u = a + -5755. What is u rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x + 21 = 1. Let i be 4080\/(-175) - 4\/x. Let t = i + 24. Which is the nearest to t? (a) 0 (b) 1\/7 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 840 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y = 76 - 66. Suppose y*v = -v + 1969. What are the prime factors of v?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = d**2 - 2*d + 6. Let k be p(0). Let i(n) = -n**2 + 4*n**2 - 12*n**2 + k*n**2. Let u(m) be the third derivative of m**4\/12 + 68*m**2. Give i(u(o)).\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c be (0*8\/8)\/5. Let b(y) = y**3 - 3*y**2 - 2*y + 678. What are the prime factors of b(c)?\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = l**2 - 7*l - 3. Let v be i(7). Suppose -5 = -g, 7*x - 3*g = 2*x - 25. Which is smaller: x or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 14 + -11. Suppose 2*c - 29 = z. What is the remainder when c is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -21.52 + 19.3. Let i = 1.9 + u. Let t = i - 0.68. Is t smaller than 14\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3 - 59 - (17 + -46)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 1534\/(-236)*240\/(-20)\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -71\/3270 and -41\/45.\nAnswer: 9810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l = 8985959\/6 + -1493431. Let b = l - 4210. Let h = 1\/18511 + -1869625\/259154. Find the common denominator of h and b.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 38*m + 94 = -9*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = -136 + 28*w**2 + 2*w**3 - w**3 + 172 + 2*w - 6*w**2. Give l(-22).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p = d + 4 - 16, -3*p - 5*d = 0. Is p at most as big as 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: (23 - 1) + 0 + 9 + 8\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -86 + 47?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -2\/5 (b) -5 (c) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 80\/32*86\/18 + 5*(-8)\/(-720)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -134 + 78. Let s = w - -35. Let m = s + 36. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -149 = 4*z - 5*z. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 186 divide 10230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 17 divided by -2496?\nAnswer: -17\/2496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -g**2 + 2*g**2 + 2*g**4 + 0*g**4 - g**4 wrt g.\nAnswer: 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) be the first derivative of -i**6\/3 + 10*i**5 - 95*i**3\/3 + 3*i**2\/2 - 233. What is the third derivative of f(j) wrt j?\nAnswer: -120*j**2 + 1200*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -443, -1.07, 0.2 in increasing order.\nAnswer: -443, -1.07, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = j**3 - 8*j**2 - 10*j - 2. Let m(t) = -6*t + 77. Let b be m(22). Let f be (b\/20 - -2)\/(2\/(-24)). Determine q(f).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -70 + 70.22. Let p = -0.1 - -0.12. Let o = x - p. Which is smaller: o or 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3*r + 0*r + 0*r)*((-2*r + 2*r + 2*r)*(-2 + 2 + 1) - 3*r + 7*r - 2*r)*(354 - 891 + 425 + (3 + 0 - 1)*(2 - 2 - 1)) to z*r**2 + b*r + d and give z.\nAnswer: -1368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = o**3 - 3*o**2 - o + 3. What is n(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is three fifths of a decade in months?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -1 (base 3) in base 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 20 and 17921960.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*u = -3*u + 21 + 67 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (3 - 5) + -2 - (-2 + -5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 455 and 105?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Put 2, -2, 5, 51 in ascending order.\nAnswer: -2, 2, 5, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: (2\/5)\/((-24)\/20)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:09 AM and 8:59 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = i**3 + 4*i**2 - 1059*i - 6. Determine z(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 1274 a factor of 107963856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 5063 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = i**2. Let a(x) = -x**2 + 4*x - 4. Let g(j) = j**2 - 3*j + 3. Let o(n) = 3*a(n) + 4*g(n). Calculate t(o(p)).\nAnswer: p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = i**3 + 5*i**2 - 4*i + 6. Let u(q) = -q**3 - 8*q**2 + 9. Let n be 4 + -8 - 4\/1. Let g be u(n). Let z = 3 - g. Calculate l(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/9 in 0.17, -1\/4, -4, 279?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n = -29.5376 + 0.0376. Let v = n + 29. Which is the third biggest value? (a) 2\/19 (b) 4 (c) -7 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3010 is divided by 298?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n = 146 + -100. Is 6 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 5 divide 24270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 17608?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 7217.926 weeks in nanoseconds?\nAnswer: 4365401644800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = 635*l**2 - 35*l + 345. Let x(f) = -106*f**2 + 6*f - 58. Let j(z) = -6*q(z) - 35*x(z). Find the first derivative of j(u) wrt u.\nAnswer: -200*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 4175\/4 - (156\/(-48))\/13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15 = 27*u - 22*u. Let m = u + 2. What is the second derivative of m*f - 86*f**5 + 3*f + 128*f**5 wrt f?\nAnswer: 840*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = n**3 - 2*n**2 - 3*n - 1. Suppose 4*u + 5 - 1 = 0. Let s = 10 + -8. Let r be (s + -4 + -1)\/u. Determine k(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -21, 1, -0.2, 4, -2\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 3, -1\/14, -0.1, 2\/7, 1, 118?\nAnswer: 118","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w = -10.5 + -0.5. Let h = 684911 + -684899.99993. Let b = w + h. Round b to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -935*c - 1601*c = -447*c + 58492 for c.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -90, -93, -96, -99, -102?\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (0 + 1 - -6) + -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g = -75\/4 - -19. Let q(l) = 2*l + 7. Let s be q(-5). Suppose 2*t = -2*t + 16. Which is the second biggest value? (a) g (b) s (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k = -0*k. Let y = 7.13 - 0.83. Let d = y + -5.9. Which is the second smallest value? (a) k (b) 4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = -7*u**5 + 5*u**3 + 79*u - 5. Let i(f) = 3*f**5 - 2*f**3 - 39*f + 2. Let h(o) = -5*i(o) - 2*s(o). What is the second derivative of h(v) wrt v?\nAnswer: -20*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 503 + -353. Let f = 330 - v. Calculate the highest common divisor of 40 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2 + -4 + 2 - (14 + -26)) + 5.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -47*f**3 + 117*f**3 - 36*f**3 - 40*f**3.\nAnswer: -6*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 5, -3, 430392 in decreasing order.\nAnswer: 430392, 5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t - j = 4*t + 3, 0 = -5*t + 3*j + 9. Suppose t*p = p - 1. What is the remainder when 1 is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -13 - -19. What are the prime factors of -1*(-11*o)\/3?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-18)\/(-5)*((-36900)\/24)\/(-15). Let o = -165 + b. List the prime factors of o.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 50352493?\nAnswer: 163, 541, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 0.2 * -5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Does 17 divide (-4 + 6312)*(6\/(-14))\/((-10)\/35)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = -60*q**2 + 124*q - 10. Let r(h) = -7*h**2 + 14*h - 1. Let o(y) = 3*m(y) - 26*r(y). What is o(-6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = i. Let p be d(-1). Let x = -4 + 0. What are the prime factors of (-6)\/x*(-2)\/p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 387511 a multiple of 479?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -2997*f + 62 - 29*f**4 + 51 + 2997*f wrt f?\nAnswer: -116*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 432?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = -2*y**3 + 64*y**2 + 9*y - 2162. What is t(31)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in 0.3, -28, -544?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z - 14 = 3*z - h, -3*z - 2*h + 2 = 0. Let q be (-33)\/12*z*18. Calculate the highest common factor of q and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-8)\/20*(-360)\/(-12) + 7. Which is the nearest to -1? (a) -0.5 (b) n (c) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 182795 is divided by 287.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -34112010 (base 5) in base 11?\nAnswer: -196068","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u be -138*((-3)\/(-9) + -2). Is (-2)\/10 + u\/25 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 103.528 - 0.12.\nAnswer: 103.408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y - 2 = -2*b, 23 = 3*y - 8*y - 4*b. Let q = -4 - y. Let i be 5\/(-12) + (-2)\/6. Is i less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 2 (base 15) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.3504 and 44.\nAnswer: 15.4176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n = 26 - 24. Solve -n*q + f = -5*q + 13, 3*f = -3*q + 21 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 12\/45*10\/12. Let r(v) = 86*v - 515. Let g be r(6). Is q at least g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) be the third derivative of 5\/24*u**4 + 0 + 0*u**3 - 1\/60*u**5 + 2*u**2 + 0*u. What is the second derivative of f(i) wrt i?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m = 2*t - 28, 0 = m - 5*m + 5*t + 45. Let c(o) = o**3 - 9*o**2 - 5*o - 13. Is 9 a factor of c(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.39281 times 50\nAnswer: 19.6405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 35 and 3415.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 131\/30 and 16\/2971529?\nAnswer: 89145870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*p**2 - 19*p**2 - 8*p**2 + (2*p + 0 + 0)*(-3*p + 1 - 1).\nAnswer: -33*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z = -13 - -13.4. Let r = -3 - -1. Let h = -0.2 + -3.8. Sort z, h, r.\nAnswer: h, r, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 1, y: 2, n: 1, p: 1, j: 1, i: 1}. What is prob of picking 1 y and 1 j?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = -i**2 - 10*i - 6. Let n be ((-2)\/6)\/(2\/102). Let y = n - -13. Is j(y) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/7 in 178, 2, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:28 PM and 2:26 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s be 6\/27 - (-16)\/9. Let o(b) = -b - 2*b + 2*b - s. Suppose 9 = 4*n + 21. What is o(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p + 0*p = -6. Let t be (-4)\/(-18) + p\/9. Which is the closest to t? (a) 0.4 (b) -1\/4 (c) 2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xx when two letters picked without replacement from {x: 3, g: 5, r: 8}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 0.1 (b) 14 (c) -15 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -94 + 104 - (12\/(-78) + 915\/117)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-12)\/(-21))\/(12\/42). Suppose 0 = z - a - 7. Is (-4 - 4\/((-48)\/z))*-892 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (106\/(-53))\/(3\/(-2)*(-25)\/(225\/174)).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let -r**5 + 4*r**4 - 2*r**3 - 4*r**2 + 3*r = 0. What is r?\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -35.3 (b) -2\/15 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 58795 to the power of 1\/2, to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = o + 7*h - 11*h + 11, 5*h - 15 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7 = -2*g + 1. What are the prime factors of g*(2 + -4) - -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i + 0*i = 4*t - 36, 9 = t - 2*i. Let w be 0\/(-2 + 3) - t\/(-30). Let h = 3\/2 - w. Which is greater: h or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1133 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = k**3 + 28*k**2 + 26*k + 18. List the prime factors of o(-22).\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = 5*b**3 - b**2 - b + 1. Let p be v(1). Let a = 1270 + -677. Suppose -219 = -p*t + a. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 270 is divided by 139.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -763, -3074, -7027, -12706, -20195?\n\"Answer: -14*i**3 - 737*i**2 - 2*i - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 19*l**2 - 5 - 56*l**2 + 13*l**2 + 5 + 27*l**2.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.5 - 8146160290.\nAnswer: -8146160290.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 178942 and 7106?\nAnswer: 646","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m = 3118 + -3026. Let j = -20 + 39. Calculate the remainder when m is divided by j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t = -6*t + 8. Let g be -4*t*(-6)\/24. Solve -4*y = -g*w - 6, -2*w + 3*y + 3 = 2*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-1)\/(2\/6) + 16700003. Round l to the nearest 1000000.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = 3*g - 6. Let m be d(2). Suppose m = -3*y + 2*t - 4 + 1, -y + 3*t = 1. Which is greater: y or -7\/9?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*j**4 - 3020*j + 5*j**4 + 3 + 2999*j to w + q*j + r*j**2 + i*j**3 + c*j**4 and give q.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 0 - 2*p**2)*(2*p + 3*p - 2*p)*(2 - 3 + 3).\nAnswer: -12*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 260769905?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*a - 86 = -4*y, 58 = 5*a - 0*y - 3*y. What are the prime factors of (-1)\/((-1)\/(a\/2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f + 3 = 3*f. Let h be ((-8)\/f)\/(6\/261). Suppose 0 = -5*c + h + 34. List the prime factors of c.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = 4*l + 2. Let j(h) = -h**2 + 5*h - 6. Let n be j(5). Let x(g) be the third derivative of -5*g**4\/8 - 7*g**3\/6 - 506*g**2. Determine n*x(v) - 22*t(v).\nAnswer: 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 60907.\nAnswer: 7, 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 34 + 31 = -9*c + 110 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (18\/(-120)*-4*(-5)\/(-2))\/(3\/24)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:47 AM and 8:19 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is (19\/456*-8)\/((-4)\/(160\/2))?\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand l + 2*l + 0*l + l - 2*l + 0*l + (-2*l + 2*l + l)*(4 - 2 - 4) + 2*l - 3*l + 7*l + (2 + 0 - 3)*(0*l + l + l).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 x when two letters picked without replacement from xxmmmx?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 30396 and 447.\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 13\/447 and 61\/45283931?\nAnswer: 135851793","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o = 540 + -913. Let v = -595 - o. Let y = 883\/4 + v. What is the second smallest value in -0.4, 2\/3, y?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-48)\/30)\/(2\/(-5)). Suppose i = -5*x + 40 + 275, 5*i - 25 = 0. Let 0*g**4 - 57*g**5 + 0*g**a + 5*g + x*g**5 - 10*g**3 = 0. What is g?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 7\/12060 and -155\/66.\nAnswer: 132660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/((-8)\/2624*-24)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*c = -6*c + 5. Let a(l) = -l + c*l - 2*l. Let g(q) = -28*q**2. What is g(a(m))?\nAnswer: -112*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = -s**3 - 2*s**2 - 100*s - 195. What is a(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -17*c**5 + 2*c**2*y + 5*c*y - 2*c + 11*y wrt c.\nAnswer: -340*c**3 + 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -697 + 651 + (50 - 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express -16*q - 7*q**2 - 3*q**4 + 10*q**2 + 14*q + 2*q**4 in the form z*q**2 + w*q**4 + l + x*q**3 + o*q and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sort 4\/7, 2\/31, 2\/23, 2.\nAnswer: 2\/31, 2\/23, 4\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = 10*l. Let q be a(3). Suppose 9*w + q = 10*w. Does 21 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -8991 * 0.4.\nAnswer: -3596.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = c + 2. Let y be r(-3). Let p(q) = -q + 13. Let w be (-79)\/(-7) + 6\/(-21). Let a be p(w). Sort y, a, -5 in ascending order.\nAnswer: -5, y, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 68802289 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 9*d + 5 + 31. Let f be 2\/4 + 26\/(-4). Let x = f - d. Sort 3, 2, x.\nAnswer: x, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 2129 - 130 = -x - 200*m, -197*m = 4*x - 194*m + 26 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Multiply 1.1 and -0.043468.\nAnswer: -0.0478148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 12401.685 months?\nAnswer: 10.3347375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*u = -3*g + 30, u + 3 = 3*g - 3*u. Suppose 12 = -3*y, 4*o - 40 = -2*y + g*y. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = 49*m + 735. Calculate d(-15).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 43*f + 19*f + 5*f. Sort 4, -13, 42, f.\nAnswer: -13, f, 4, 42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*f - 1452801 = -4*v, -4*f + f + 2*v + 871663 = 0. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 45.7715+-319136\nAnswer: -319090.2285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + sqrt(2) + (3*(sqrt(2) + 0))**2 + -5 + (sqrt(14) + sqrt(1134) + 1*sqrt(1134))\/(sqrt(7) - sqrt(42)\/(sqrt(24)\/sqrt(4) + sqrt(6))) + -3.\nAnswer: 10 + 39*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 17*q - 11*q + 2*q + 4.\nAnswer: 8*q + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express -2*a**2 + 0*a - a - 4 + 0 in the form i*a**2 + j*a + d and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express (5 + 0 - 3)*(-g + 0*g - g) + 0*g - g - 7*g + (-4 + 9 - 13)*(4*g + 6*g - g) + 6*g - 4*g + 2*g as u + s*g and give s.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 46219373143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u = 237 - 234. Suppose 2*z + 8 = 4*z. Suppose t - z = -3*t. Which is the closest to t? (a) 0.1 (b) u (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -17*b**3 + 149*b**3 - 267*b - 2*b**2 + 2*b**2 + 82*b**3 wrt b.\nAnswer: 1284*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = 64*r + 7008. Let s be c(105). Calculate the highest common divisor of s and 192.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -43276584*k**3 - 88055296*k**2 wrt k?\nAnswer: -259659504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) = 3*u + 13. Let w be h(-3). Suppose 12 = 8*i - w. What is the units digit of -1324*i\/(-28) - (-3)\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 474 = 1423\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 780 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let 3*n**5 + 52401*n**4 + 52395*n**3 - 52401*n**2 - 52398*n = 0. Calculate n.\nAnswer: -17466, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 256971.8ml in litres?\nAnswer: 256.9718","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 445 divided by -32?\nAnswer: -445\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express (0*q + q + 0*q)*(-4 + 1 + 2)*(4*q - 4*q - 3*q) as p*q + z*q**2 + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 106*z**4 - 44*z**3 + 3572 with respect to z.\nAnswer: 424*z**3 - 132*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l be 66\/55 + (-5888)\/(-10). Calculate the highest common factor of l and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = -6*p + 15. Let a(j) be the second derivative of -2*j**3\/3 + 5*j**2 - 3*j - 27. Let g be (17 + -20)\/(3\/(-7)). Calculate g*a(i) - 5*k(i).\nAnswer: 2*i - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = -79*w - 6. Let c(s) = 276*s + 30. Give 5*c(n) + 18*d(n).\nAnswer: -42*n + 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7168 is divided by 276.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -7\/865917 and -53\/15174.\nAnswer: 486645354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 19*q - 22*q + 5*j + 43 + 18, -31*j = -q + 167 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = 3*q + 27. Let r be w(-9). Suppose r = 6*h - h - 10. Is h less than or equal to 9\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) = -30*n**3 - n**2 + 18*n - 5. Let y be q(-5). Suppose y = 52*u - 49*u. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) be the first derivative of p**2 + 12*p + 6. Let l be t(-5). Let j(w) = 2*w**2 - 2*w**2 + w + w**l + w**3 + 11. What is j(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) be the second derivative of -629*t**4\/4 + t**3\/6 + 732*t. Let h(u) = 2*u. Give r(h(y)).\nAnswer: -7548*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(228) + (sqrt(228)*-2 - sqrt(228))*-2)\/(2*sqrt(12)*-4) + -3.\nAnswer: -7*sqrt(19)\/8 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in -3\/8, -0.706, 506, -1, -0.3, -5\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand 5*j**3 - j**3 - 2*j**3 + (-2*j + 0*j - j)*(2*j**2 - 3*j + 3*j).\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o*o**9)\/o**(-1\/8))\/((o**(-5\/3)*o)\/(o\/(((o\/(o*o*o**(-3)*o))\/o)\/o))) assuming o is positive.\nAnswer: o**(307\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Put 6, 3, -2, -1092 in descending order.\nAnswer: 6, 3, -2, -1092","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000005542917 rounded to seven dps?\nAnswer: -0.0000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 0, 4, -678, -3.\nAnswer: -678, -3, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 520897030 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*w + 4 = 5*i - 6, 0 = -w + 3*i - 10 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1666 and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*t - 4*j + 12, -4*j + 12 = -7045*t + 7046*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is ((-10472)\/102)\/(630\/108)?\nAnswer: -88\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (g - 3 + 3)*(148*g**2 + 2*g - 281 + 279 - 113*g**2).\nAnswer: 35*g**3 + 2*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**(-1)\/f)**(-49)\/(f\/f**11*(f\/(((f\/(f\/(f**(1\/14)*f)))\/f)\/f))\/f*f) assuming f is positive.\nAnswer: f**(1485\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 618, 619, 620, 621?\n\"Answer: n + 617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 167212770 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c be 57 - (6 + (-5 - -3)). Let s = c - 25. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find k, given that 4*k**5 + 140*k**4 - 600*k**3 + 920*k**2 - 620*k + 156 = 0.\nAnswer: -39, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = -207*n**2. Let w(p) = 5*p**2. What is w(d(c))?\nAnswer: 214245*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express (2 - 7 + 3)*(3*t**3 - 3*t**3 + 2*t**3) + (0*t + t**2 + 0*t)*(-11*t - t + 3*t) in the form p*t**3 + c*t**2 + j + z*t and give p.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is next in -22709, -22712, -22715, -22718?\nAnswer: -22721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = -k**2. Let h(g) be the third derivative of 7*g**5\/60 - g**4\/12 - g**3\/6 - 540*g**2. What is -h(s) - 6*r(s)?\nAnswer: -s**2 + 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 39878878 is divided by 43?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 14*h - 5 = 15*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 70645453?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b be -4 - -1 - (-1138)\/12. Let t = b + -92. What is the third biggest value in 5, 1\/5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 4\/9*384\/256 + (-17)\/21. Let p = -0.13 - -0.03. What is the closest to 0.4 in h, 0, 2\/13, p?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 284 - 174?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 14934, 14933, 14932, 14931?\n\"Answer: -b + 14935","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1.38857197 + -5252.1.\nAnswer: -5253.48857197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 d and 1 o when three letters picked without replacement from woowwddowow?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -39*z**2\/4 + 26967*z\/4 - 6219\/2 = 0.\nAnswer: 6\/13, 691","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is -557 < -471?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 33510589.\nAnswer: 7, 1297, 3691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -14, -32, -72, -146, -266?\n\"Answer: -2*h**3 + h**2 - 7*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*o + 5*z + 35, -143*o + 80*o - 5*z - 29 = -62*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -164 (base 7) in base 13?\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = -f**2 + 17*f - 32. What is the remainder when u(6) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0.05 + -6.05. Let u = p + 5. Which is the nearest to -0.2? (a) 2 (b) u (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -384*i - 55*i = 557*i - 33864 for i.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-33 - 2)*108\/(-60). What is the remainder when -10*q\/(-18)*(4 + -1) is divided by 23?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = x**2 + 21*x + 119. Determine n(-17).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 4 + (69175\/5 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/4, -2, 67.\nAnswer: -2, 1\/4, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = 376*u**2 - u - 2. Suppose 2*m - 2 = 3*q + 6, -2*q = 4*m. Let a be o(q). Let f = a + -1005. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = n + 1. Let y be h(-4). Let z = -806 - -805.9. Suppose p - 74 = -70. Which is the fourth smallest value? (a) y (b) z (c) p (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4359*d - 4341*d - 180 = 0 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find u, given that u**3\/8 - 46469*u**2\/8 + 127753*u\/2 + 301977\/2 = 0.\nAnswer: -2, 13, 46458","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = 2*i**2 - 2*i + 107. Let f be t(0). Suppose 7*p - f = 138. Calculate the greatest common factor of p and 280.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -138, -275, -412, -549, -686, -823?\nAnswer: -960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -1683 + 2?\nAnswer: -1681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(-16)\/x*x)**17 assuming x is positive.\nAnswer: x**(-272)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 121772*f - 243930*f + 3*f**2 + 122158*f.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) be the first derivative of f**5\/100 - f**4\/20 + f**3\/15 + 12*f - 10. Let l(y) be the first derivative of o(y). Determine t so that l(t) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) be the second derivative of -3*p + 23\/12*p**4 + 1\/2*p**2 + 0 + 0*p**3. What is the remainder when k(1) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (3 + 0 + -1)*902\/4. What is the highest common factor of 22 and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = 2*r + 9. Let v be u(7). Suppose 0 = -g + v. Let z = 44 - g. Calculate the highest common divisor of z and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -227766 by 1218.\nAnswer: -187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = 5919*m**2 + 2*m. Let w(u) = 2*u. Give w(c(l)).\nAnswer: 11838*l**2 + 4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:10 PM and 11:20 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*m = 3*q + 3 - 1, -q = 5*m - 6. Let s be ((-1)\/m + 1)\/(-2). Suppose s = 5*r + 3*p - 116, 6 = 2*p + p. What is the least common multiple of 16 and r?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 37 to the power of 1\/2, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l - 29 = -23. Solve -5*q + l*u + 10 = 0, 5*q = 5*u + 7 + 3 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -598525*z - 825695?\nAnswer: -598525","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:33 AM and 5:25 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Product of 17.563 and -3.8.\nAnswer: -66.7394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t = -327 - -329.01. Let x = 0.01 - t. Which is the nearest to 0.1? (a) 4\/5 (b) x (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -5 - 14 - (50 - -3 - 37)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5 + -1 - (34 - (25 - 10)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = -x**2 - 111*x + 4217. Calculate o(30).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*h = -63 - 41. Suppose 0 = h*i - 1889 - 14478. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 7.678556 to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*n = 20 + 30. Let b(r) = 127 - 237 + 108. Let o(h) = -h + 9. Calculate n*b(s) + 2*o(s).\nAnswer: -2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Add together 455 and -1.48309.\nAnswer: 453.51691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -635 = -3*m - 620. What is the highest common factor of 5 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((132\/(-42))\/((-10)\/14))\/((378\/(-315))\/(-3)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:17 PM and 1:56 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -347 or -1737\/5?\nAnswer: -347","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -28 + 19 - (-31 - 3 - 3) - 2\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 32 = -2*f + 3*b, b - 369 = 11*f + 357 - 736 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y = 680 + -459. What is the remainder when 441 is divided by y?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*q**2 - q**2 - 2*q**4 + 0*q**2)*(-3*q + q + 0*q)*(-2 + 7 + 4)*(3 + 0 - 1).\nAnswer: 72*q**5 - 72*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 2 - 153484947554094\nAnswer: -153484947554092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n = 57 + -52. Let m(c) = -10*c**4 + 10*c**3 + 5*c**2. Let o(d) = -d**4 - d**3 + d**2. Let r(s) = n*o(s) - m(s). Let r(v) = 0. What is v?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*j**5 + 3231*j**4 - 7*j**3 - 48589*j**2 wrt j?\nAnswer: 120*j**2 + 77544*j - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.5 - 0.7. Which is the third smallest value? (a) -0.1 (b) -4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -62*k + 65*k - 3 = 0, 5*i = -4*k + 249 for i.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -26 + 43 - 0 - (37 + 6)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 83\/9526536 and -32\/3572451.\nAnswer: 28579608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -374*k**2*t**3 - 29*k**2*t**2 - k**2*t + 31*k**2 - k*t**3 - k*t**2 + t**3 wrt t?\nAnswer: -2244*k**2 - 6*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2904356 is divided by 195?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from odocobboobbbbobob. Give prob of sequence cd.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Does 202 divide 634280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s = 23440 - 22920. Is 13 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1500739340 rounded to the nearest 100000?\nAnswer: 1500700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**(-1\/8)\/t**4)\/(t**(2\/17)\/t*t\/t**(5\/4)*t*t*t*t) assuming t is positive.\nAnswer: t**(-951\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 44 + 35?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) be the first derivative of 5*l**4\/4 - 190*l**3\/3 + 350*l**2 - 680*l + 679. Factor f(s).\nAnswer: 5*(s - 34)*(s - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 524251 is divided by 174747.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Put 5, -1, -6, -278, 3 in decreasing order.\nAnswer: 5, 3, -1, -6, -278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = -2 + q + 0*q + 1. Suppose 5*m + 64 - 249 = 0. Suppose -36*k + m*k = 4. Give f(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i + 2*q - 4 = -3*q, -2*q + 3 = 3*i. Find the second derivative of 5266*p - 2521*p - 1 - 195*p**2 + i - 2645*p wrt p.\nAnswer: -390","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (0 - 26 - (1077 - 1104)) + (73 - 2).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a = -5 + 95. Is a less than 90?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = y**2 + 5*y - 6. Let m be h(3). Let z be 9\/3*12\/m. Let j be (-44)\/(-6)*6\/2. Calculate the greatest common factor of j and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.135 and 5.\nAnswer: -0.675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k = 7 + -5. Solve 0 = -k*w - 8 - 2 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 16255*k**2 - 48580*k**2 + 17812*k**2 + 17077*k**2.\nAnswer: 2564*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z = -496 + 2482\/5. Let y be (-4)\/(-35) + 4\/(-10). Which is the nearest to y? (a) 17 (b) z (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-7)\/(-4))\/(1120\/(-320)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f be -12 - 3\/(3\/(-19)). Solve 3*i + 4 = 4*t, 3*t + 11 = -3*i - f for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from cgins. Give prob of picking 1 s, 1 g, and 1 n.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -g - 7960 = -h - 7923, 5*g + 221 = -4*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: (-4)\/(1\/((-1)\/(-2)))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -14950130 rounded to the nearest 100000?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1165798 is divided by 209?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p = -38 + 41. Suppose -z = -3*q + 17, -4*z + 2*z + 20 = p*q. Does 6 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 31168953?\nAnswer: 3, 3463217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 49639 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is fourty-seven quarters of a meter in centimeters?\nAnswer: 1175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 3624413246?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.08 and -59691.\nAnswer: 4775.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 897084931.\nAnswer: 897084931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = -7*p**2 + 2*p - 136. Let t(g) = -16*g**2 + 4*g - 272. Let j(s) = 7*a(s) - 3*t(s). Let x(k) be the first derivative of j(k). Give x(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 12396759.\nAnswer: 3, 19, 79, 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -0.1454 + -98045\nAnswer: -98045.1454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let g = -131.247 + 67.19. Let i = 64 + g. Round i to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a - 2 = 10. Let i(j) = j**2 - 3*j - 2. Let k be i(a). Suppose -3*y = -2*y + 5*s + 25, -2*s - 10 = k*y. Which is smaller: y or 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = 4 + 6*s - 5 - s**3 + 13*s**2 + 0. Is k(11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 22375*t**3 - 14901*t**3 + 16592*t**3 + 11116*t**3.\nAnswer: 35182*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n = -5.4331 + -0.5669. Which is the closest to n? (a) -2 (b) 0.1 (c) -3.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1079409544 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 3, 29, 73, 135, 215, 313?\n\"Answer: 9*q**2 - q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3.754913801018 + 5.\nAnswer: 8.754913801018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-4)\/(-10) + 94\/(-10). Let f be (2\/(-6))\/((-3)\/s). Let t = 7.3 + -12.3. What is the closest to f in t, 1\/5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = -j**2 - j + 3. Let n be l(0). Suppose 0 = 2*v - 2*k + 134002, -4*k = n*v - 0*v + 200996. Round v to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {i: 2, o: 3, s: 10, v: 4}. What is prob of picking 1 i, 2 s, and 1 o?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) be the first derivative of -2*y**5\/15 - 7*y**4\/12 - y**3\/9 + 7*y**2\/6 + y + 72. Find a such that v(a) = 0.\nAnswer: -3, -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 213 and 1137?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 19491240, 19491244, 19491250, 19491258, 19491268?\nAnswer: 19491280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Factor a**2\/6 - 45229*a\/3 + 2045662441\/6.\nAnswer: (a - 45229)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j = 115 + 26. What are the prime factors of j?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 6 = -21407?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x = -295 - -1172. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -564, -1111, -1630, -2121, -2584, -3019, -3426?\nAnswer: -3805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: (23 - 30) + (3 - -1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put together 0.1 and 10086.\nAnswer: 10086.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*g + 40 = -g. Let i be 2\/8 - g\/8. Let p = 0.96957 + 0.03043. Which is the closest to p? (a) -0.07 (b) i (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 0.1 or 18293\/3?\nAnswer: 18293\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: (-1236)\/(-80) + 282\/940 + -16\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 u, 1 z, and 2 d when four letters picked without replacement from {v: 1, u: 4, p: 1, z: 2, d: 2}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -95*i + 466*i**2 + 88*i - 371*i**2 + 2*i**3.\nAnswer: 2*i**3 + 95*i**2 - 7*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 760 + 771 - 1543 = -4*c, 3*w - 18 = -4*c for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 - (-2 + 2) - 5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*(sqrt(425) + 3 + 3) + 0)**2.\nAnswer: 2160*sqrt(17) + 16596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = -192*r**2 + 11*r - 120. Let v(p) = 66*p. Determine o(v(h)).\nAnswer: -836352*h**2 + 726*h - 120","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-3)\/(-9) - 6\/45. Let i = -12 + 1. What is the third biggest value in h, i, -0.2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 483 is divided by 81.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find j such that -5*j**2 - 9*j - 4 = 0.\nAnswer: -1, -4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b be 9 - (7 + (87 - -5)). What is the common denominator of 139\/78 and (-28)\/b*10\/26?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 100 (base 2) to base 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 41161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = 10*m**2 - 25*m + 11. Let d(g) = g**3 - 17*g**2 - 59*g - 11. Let q be d(20). What are the prime factors of k(q)?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(176) + -1 + 3)*-3 + (sqrt(396) + 0 - sqrt(11) - (5 + 1*sqrt(11))))**2.\nAnswer: 176*sqrt(11) + 825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 j and 1 b when two letters picked without replacement from vvxobbxiixij?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand -56*k**5 + 5*k**5 - 11*k**5 + 25 - 4*k**5 - 25 + (4*k - 5*k + 2*k)*(27*k**3 - 27*k**3 + 3*k**4).\nAnswer: -63*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x = -h - 1 - 0, -h - 4*x - 5 = 0. Suppose -4*y = -20, h*j - y - 1 = -0. What is d in -1\/6*d - 1\/6*d**j + 1\/3 = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1\/35 - 37\/70. Which is the nearest to 0? (a) j (b) -2\/11 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.49934 + 64569.99934. Let y = x + -64569.0899688. Let l = y + -0.41. What is l rounded to 6 decimal places?\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -23*r**2 - r**2 - 5*r**2.\nAnswer: -29*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 133855 and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) be the second derivative of r**3\/2 - 5*r**2\/2 - 7*r. Determine a(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 10 and 1050.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Does 11 divide 1143242805?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1 + (5 - -2) + -5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 267722571.9 minus -2.2014?\nAnswer: 267722574.1014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*r + 3*r - 5*r)*(3 - 3 + 2)*(-3*r**4 + 0*r**4 + 5*r**4) + 105*r**5 - 106*r**5 - 61*r**5.\nAnswer: -58*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Divide -52 by -13.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g\/(g**7*g)*g\/(g\/(g\/g**13)))\/(g**(-5)*g*g**12*g) assuming g is positive.\nAnswer: g**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-3)\/(6\/(-5) - (-3)\/5). Suppose -46 = -4*d + m, 0*m + 54 = 4*d - g*m. Find the third derivative of d*o**2 - 2*o**5 - 24*o**2 + 43*o**2 wrt o.\nAnswer: -120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -1\/7, -1, 620.4, 0.1, -3 in decreasing order.\nAnswer: 620.4, 0.1, -1\/7, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 1984, 3828, 5674, 7522?\n\"Answer: l**2 + 1841*l + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = -l**3 + 4*l**2 - 2*l - 1. Suppose -3*y - 18 = -5*h, -18 = 4*y + 3*h + 6. Let j be ((-2)\/(-3))\/(y\/(-18)). What is p(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from vvvvvwvvvwvw. What is prob of picking 1 w and 1 v?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 25*d + 6 = 26*d. Let n = d + 17. Is 23 greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1149904 is divided by 95819.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is (10\/(-6))\/(675\/(-1890))?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = h**2. Let o(j) = -25*j + 18. What is o(r(z))?\nAnswer: -25*z**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f be 130\/18 + 2\/(-9). Let l(u) = u**3 + 5*u**2 - 7*u + 1. Let i be l(-6). Is i > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in -7, -0.4, 1\/3, 100, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from aadddsssddsdsas. What is prob of sequence sdd?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1*11*(-6160)\/(-108416)?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k = 170 - 149. Calculate the lowest common multiple of k and 24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 8458 is divided by 2801?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v - 11 = -2. Let u be 171\/(-133)*14\/(-6). Suppose -3*c - 2*c = -u*m + 24, -v = -3*m - 2*c. Solve i + m = 0, y - 10 = -0*y + 5*i for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*(sqrt(200)*1)\/sqrt(4) + (5 + 1*sqrt(200))**2 + -4.\nAnswer: 70*sqrt(2) + 221","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: (-158)\/24 - (((-675)\/100 - 0) + (-4)\/16)\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 13 + -9. What is the second derivative of 0*v**4 - 2*v**u + 2*v + 3*v**4 wrt v?\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = -36*w + 26. Let f(h) = 2*h - 3. Calculate 8*f(m) + x(m).\nAnswer: -20*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-10)\/4)\/((-9)\/(-6) + -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 + (35 - 22 - (2 - -2 - -2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -161257*m**3*x**3 - 5*m**3*x + 2*m**3 - 57*m**2*x + m*x**3 + 3*m*x**2 - 17*m - 3*x**3 wrt x?\nAnswer: -967542*m**3 + 6*m - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/7? (a) -7 (b) -1\/550 (c) -9768\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -43*a**2 + 248*a**3 - 15*a**2 - 4*a**2 - 7*a**2 wrt a.\nAnswer: 1488","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (36\/((-9936)\/115))\/((-30)\/4).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -6387*i - 190201 = 212180 for i.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + (-2*((sqrt(1053) - (sqrt(1053) - -5*-2*sqrt(1053)) - sqrt(1053)) + sqrt(1053) + (sqrt(1053) - (sqrt(1053) - sqrt(1053)*-2)*3))*-1)**2.\nAnswer: 16849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2117811580?\nAnswer: 2, 5, 105890579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {o: 2, c: 7}. Give prob of sequence cc.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c = -2.71225 - -2.71. What is c rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = k**3 + 15*k**2 + k + 30. Let v be d(-15). Suppose q = -15 + v. Let o be (-24)\/(-10) - 4\/10. Solve -b + 3*u - 2*u - 6 = q, -5*b = -o*u + 18 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -124 > 270?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from tttttttttteetetttt.\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u be ((-12)\/(-15))\/((-10)\/(-325)). Suppose 6*v + 8 = u. Let p(x) = x**3 - 3*x**2 - x - 3. Calculate p(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (35\/(-25))\/((-172)\/860).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = -3*s**2. Suppose -5*h = -3*i + 7, -2*i - i = -12. Let m be h\/1*(3 + 2). Let n(g) = -m*g + 3*g + g. Determine o(n(k)).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 78723 rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) = l**3 + 8*l**2 - 7*l - 10. Let r be m(-6). Suppose 6*d - 902 = -r. Does 19 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together 3.50207840007 and -0.3.\nAnswer: 3.20207840007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = -9*b**3 - 2*b**2 - 4. What is the remainder when l(-4) is divided by 68?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h + 18 = -10*h. Let u be ((3 - 1) + h)*2\/8. Suppose 5*t = 4*o + 5405, 0*t + 3*t + 5*o - 3206 = u. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.1078664957 to three decimal places.\nAnswer: -0.108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 11 + (4 + 7 - 3) + -7?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.37 - -0.07. Let w = 0.1 + d. Let l = 1.907 - -0.093. What is the nearest to 0 in w, l, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) be the first derivative of -2\/3*n**3 + n - 1 + 0*n**2. Differentiate m(p) wrt p.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 149090 is divided by 1506.\nAnswer: 1502","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = v**3 + 13*v**2 + 9*v + 2. What are the prime factors of w(-12)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in three tenths of a week?\nAnswer: 3024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = -g**3 - 119*g**2 - 1473*g - 257. Determine k(-105).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*(1 + 1*sqrt(1872) + 3 - (2*2*sqrt(1872) + -3)))**2.\nAnswer: -4536*sqrt(13) + 152073","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (5 + -1)\/((4\/(-7))\/(392310\/(-315)))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1384)\/(-168) + -7 - 10\/6.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*k**2 - 3257*k + 13207*k - 3262*k - 3256*k - 3428*k.\nAnswer: -4*k**2 + 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 227 and 1.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert -98158 (base 10) to base 7.\nAnswer: -556114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0*(3 + 9)\/48.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Express 55*l**4 - 57*l**4 - 3 + 33 + (-3*l + 3*l - 2*l)*(3*l**2 + 2*l**3 - 3*l**2) as c*l**3 + r*l + b*l**4 + t*l**2 + g and give g.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put -11994, -2, 551 in descending order.\nAnswer: 551, -2, -11994","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -1309*j + 1307*j - q - 37, -5*q = 165 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p - f - 4 = -23, -3*p - 4*f = -8. Solve d + 4*o + p = 0, 4*d - 6*d + 2*o = 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = 106 - 29 - 3*l - 29. Let u be s(16). Let d = -1\/15 + -3\/5. Which is greater: d or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -5\/652326 (b) -0.09 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -16, -25, -46, -85, -148, -241, -370?\nAnswer: -541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h = -179.0000008148 - -179. What is h rounded to seven decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from bbouqbq.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) be the second derivative of 3*q - 5\/6*q**3 - 3*q**2 + 0. What is the remainder when 40 is divided by u(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {t: 4, q: 2}. Give prob of picking 1 t and 1 q.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = -4 - 5 - f**2 + 1 + 0*f**2 - 27*f. What is the units digit of j(-22)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-32900)\/(-18800)*16\/1218.\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in twenty-three sixths of a decade?\nAnswer: 460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = 1607*f. Let d(l) = 8*l - 2213. Calculate d(u(t)).\nAnswer: 12856*t - 2213","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g\/g**(-6))\/g**(-7)*((g**0\/g)\/g)**(-2\/41))\/((g**3\/(g\/(g**0*g)*g))\/((g*g\/((g*g**2)\/g))\/(g*g**1))) assuming g is positive.\nAnswer: g**(414\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Put 2\/11, -8, 2, -1\/3 in decreasing order.\nAnswer: 2, 2\/11, -1\/3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 0.5 times -2819479?\nAnswer: -1409739.5","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} {"text":"Question: Solve 2 = i - 0, 2*z - 5*i + 16 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 74631383 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence gglz when four letters picked without replacement from {l: 6, z: 3, g: 6}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 5 + -14 + 0 + 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Convert -1101 (base 2) to base 15.\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or -4\/273?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -100 = -5*f + 18*s, 16612*s - 16611*s = f - 7 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from zczmbwz. Give prob of sequence wbm.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -4 in 7024, 0.2, -6\/7, 1\/2?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00009626 to five decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 u and 1 s when two letters picked without replacement from usu.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*s + 19 + 1, 3*s - 125 = 5*l. Let c = -17 - l. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:14 AM and 11:46 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 4410448\/15 or 294030?\nAnswer: 4410448\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3493\/(-2121) + 3\/(1\/(100\/180))?\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*j - g - 190 + 177, -g - 10 = -2*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = 36*g + 2121. Let d be o(-59). Put -0.52, d, 3\/7, -1 in descending order.\nAnswer: 3\/7, -0.52, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*s = 5*d - 4, 0*s - 2 = -d + 2*s. Let o = 4611 + -4613. Is o < d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 18445 a multiple of 155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) 22771 (b) 3\/2 (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) be the first derivative of 5*b**8\/672 - b**7\/35 + 3*b**6\/80 - b**5\/60 + b**2 - 3. Let j(s) be the second derivative of v(s). Let j(q) = 0. Calculate q.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*1*sqrt(144)*6)\/(2*-1*(sqrt(288) + (-3*sqrt(288) - sqrt(288)) - sqrt(288))).\nAnswer: 3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -4 + 5 + -5 - -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Determine g, given that 0 - 8\/7*g - 24\/7*g**2 - 2\/7*g**5 - 26\/7*g**3 - 12\/7*g**4 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 23, -0.02048, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = -3*j**3 - 8*j**2 + 9*j. Let f be t(5). Let q = f + 892. What are the prime factors of q?\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -16507, -66030, -148575, -264148, -412755?\n\"Answer: -o**3 - 16505*o**2 - o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m = -h + 2*m + 984, 2*m = 5*h - 4830. Let x = h - 674. Let n = 801 + x. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 583969, 583975, 583981?\nAnswer: 583987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 606 (b) 0.1 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -i - 4*i = -5*z - 105, 3*i = -z + 63. Let -56*k**2 + i*k**4 - 5*k**4 - 207 + 144*k - 36*k**3 + 175 = 0. What is k?\nAnswer: -2, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 584035?\nAnswer: 5, 17, 6871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = a + 9. Let g be j(-9). Let t be (-2 + g\/(-4))*-9. Suppose -23*z = -20*z - t. Calculate the least common multiple of 4 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 450805 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/4 in 1, 4, -0.2, -51?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a*a**(-2\/3))**20\/(a**(-19)*a*a**15*a))**(-10\/7) assuming a is positive.\nAnswer: a**(-260\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 408728 and 17936?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = -c**2 + 12*c - 32. Let q(r) = -r**2 + 13*r - 32. Let a(p) = -2*n(p) + 3*q(p). What is the smallest common multiple of 14 and a(12)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 129 a factor of 1668650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is -6122 bigger than -79596\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -9 divided by -48354294\nAnswer: 3\/16118098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) = 2*z - 37. Let a be l(18). Let s be (a\/(-1))\/(4\/(-1084)). Round s to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -64 - -101. Let h = n + -36.5. What is the second smallest value in -0.3, h, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*r - 2 = 3. Let k(g) = -g**2 + g + 1. Let b(s) be the third derivative of s**6\/60 + s**5\/30 - s**4\/12 - s**3\/2 + 35*s**2. Give r*b(i) + 3*k(i).\nAnswer: 2*i**3 - i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -31, -121, -271, -481, -751?\nAnswer: -1081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 31\/(-11) + 3 - (23\/(-154) - (-2)\/7)?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Put 107823, 4, -2 in decreasing order.\nAnswer: 107823, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = 6*x. Let u(f) be the second derivative of -f**5\/60 - f**3\/3 - 2*f. Let a(j) be the second derivative of u(j). Give a(o(b)).\nAnswer: -12*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 9\/12*-7*116672\/21876\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 674909 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 10*f + 6*f = 4*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*b + 2*b**5 - 3*b + (0*b**3 - 2*b**3 + 0*b**3 + (19*b - 33*b + 228*b)*(5*b**2 + 0*b**2 - 4*b**2))*(2*b**2 - b**2 - 2*b**2).\nAnswer: -210*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Convert -7a151 (base 13) to base 12.\nAnswer: -a8670","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 12.613627 plus 0?\nAnswer: 12.613627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose z + 8*a = 5*a + 96, z + a = 104. Calculate the greatest common factor of 16 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r**(-4\/7)\/(r\/(r**7\/r)))\/(r\/(r*r*r*r\/(((r*r**(-1))\/r)\/r)*r))**(-1\/24) assuming r is positive.\nAnswer: r**(117\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 115 is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2105*j**3 + 8*j**2 - 4*j**2 + 4889*j**3 + 6*j**2 + 8123*j**3.\nAnswer: 10907*j**3 + 10*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -89, -60, -31, -2, 27?\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = -k**3 - 5*k**2 - 3*k - 3. Suppose 4*z + z = 2*y, 4*y - z + 18 = 0. Calculate n(y).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = 14256*j + 327883. What is l(-23)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*m**2 - 202695*m + 1064259.\nAnswer: -(m + 50679)*(4*m - 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f = -268 - -191. Let z = f + 61. Let u(o) = -o**2 - 14*o + 36. What is the units digit of u(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -15 < -937\/69?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y be 14 + -11 + (2 - 2). Which is the nearest to 2? (a) y (b) -3\/7 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -15 + 17. Let n = 39 - 34. Suppose 0 = -5*w + n*s + 30, -2*s = -4*w - 6*s + 8. Calculate the smallest common multiple of w and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -n - 3 + 5. Suppose 4*i + 0*i - 16 = 0, -2*c = -2*i. Let o = -1 - c. Sort -1, n, o in descending order.\nAnswer: n, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 424*l + 25 + 5935*l - 53 + 28 as d*l + s and give d.\nAnswer: 6359","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -903179, -1806363, -2709547, -3612731, -4515915, -5419099?\n\"Answer: -903184*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:27 PM and 8:54 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Work out 3.7849 * 3.\nAnswer: 11.3547","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 62 - 25?\nAnswer: 3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate (9\/(45\/(-5)))\/5.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 22338.04 and -5?\nAnswer: 22343.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence lr when two letters picked without replacement from {l: 1, f: 4, r: 2, b: 7, j: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 10946503.\nAnswer: 31, 271, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = 2*p + 4. Let j be f(3). Suppose 16*w - 2 = 14*w. Let b = w + j. Calculate the remainder when 39 is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = x - 2. Let f(l) = l + 0 - x + 10 + 2. Let t be f(-9). Is 2 > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) be the second derivative of 23*l**4\/12 + l**3 + 2*l - 939. Let j(r) = -1885*r**2 - 493*r. What is -493*i(a) - 6*j(a)?\nAnswer: -29*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Add together -0.605 and 101313673552.\nAnswer: 101313673551.395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -0.026172 rounded to three decimal places?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (-35*l - 366*l**2 + 40*l + 313*l**2)*(-2*l**2 + 0*l + 0*l) + (-5 + 3 + 4)*(3*l**4 - 2*l**4 + l**4).\nAnswer: 110*l**4 - 10*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 97 + -7ea3?\nAnswer: -7e0b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t be 3\/(-51) - 21\/(13923\/845). Let q be (1 + 9)*(-4)\/5. Let d be 2\/q + 7\/60. Put d, 1, t in ascending order.\nAnswer: t, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 1 (base 7) to base 11\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = -8*r + 1. Let j(x) = 15*x - 2. Let u(s) = -3*j(s) - 5*t(s). Let a(z) = -z**3 + 4*z**2 - 2*z - 2. Let m be a(2). Give u(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (2 - (9 + -3))*(-44)\/242. Find r such that -v + 10\/11*r**2 + 16\/11*r = 0.\nAnswer: -2, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 29 is divided by (-2)\/(-14) - 152\/(-14).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 59\/12 and ((-7)\/(-42) - (-2)\/616) + (-7)\/49.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -4 - -1. Let c be ((-30)\/9)\/(2\/h). Let i(f) be the first derivative of f**2 - 4*f + 23. Calculate i(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 18, 2, -383, 8, -4, -11, -5 in decreasing order.\nAnswer: 18, 8, 2, -4, -5, -11, -383","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 27762?\nAnswer: 2, 3, 7, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 1641511 a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s = 96 + -94. Let b be s\/(-4) + (-1210)\/(-44). Solve -b = -2*f + 5*c, 3*c + 0 + 11 = -4*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 4 + -4 + (4 - 2). Let n(p) = -10*p - f + 8*p + 3*p. What is n(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = p**3 + 2*p**2 - 3*p - 3. Let f be k(-3). Let q(b) = 2*b**2 - b - 1. Let r be q(f). Let t = -12 + 32. What is the greatest common factor of r and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 32 + -30. Put -2, j, -4 in increasing order.\nAnswer: -4, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 18 - (2 - 1 - 1). Let s = l - 12. Let u be (1\/(-3))\/(2\/(-36)). What is the greatest common divisor of s and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-4 + 0 + 5)*(55 - 55 + 16*d)*(-4*d - d + 0*d)*(4 - 3 - 3) to p*d + j*d**2 + c and give j.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p = 4 - 2. Suppose 2*y + 3*y - 14 = -3*t, p*y = 5*t + 18. Let j(k) = -k**3 - 3*k**2 - 4*k - 2. What is j(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 22\/75 and -89\/420?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 13412 - -4?\nAnswer: 13416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t = -217 + 217.00000309. What is t rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*v**3 + 2850*v**2 + 340885*v + 2248260.\nAnswer: 5*(v + 7)*(v + 159)*(v + 404)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((u*u**8)\/(u*u**(2\/13)*u))\/((u*u**(1\/4))\/u**(-14)))**(-1\/3) assuming u is positive.\nAnswer: u**(437\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t = -32.4 + 32.39999789. What is t rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = -3*q**2 + 27*q + 30. Let z be a(10). Let i be ((-3)\/15)\/(8\/(-8)). Is z bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 6834, 6827, 6820, 6813, 6806?\nAnswer: 6799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Does 2 divide 468619511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 985 + 345 = 133*t for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 13347?\nAnswer: 3, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g\/g**(-1)*g*(g*g**(2\/23))\/g)\/(g**(2\/21)\/(g**(-2\/5)\/g)))**(3\/11) assuming g is positive.\nAnswer: g**(3844\/8855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.8 - -0.4. Let s = 13 - 9. Let y = -4.1 + s. What is the biggest value in t, y, -3\/4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4873 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = 8*l**3 + 4*l**2 + 6*l - 19. What is z(2)?\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*c = -6*i - 71 + 123, -8*c - 2*i + 68 = 0 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*r = 10*r - 39. Let a be r*((-185931)\/(-27) - 3). What is a rounded to the nearest one thousand?\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 183040*q**2 - 110*q**3 + 7 + 2*q - 183040*q**2 - 1 - 183*q**3 as a*q + x + s*q**2 + c*q**3 and give x.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is next in -7310, -11995, -16680?\nAnswer: -21365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r be (6\/5)\/(40\/300). What is the highest common divisor of 45 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 12044.\nAnswer: 2, 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-10)\/(-4) + 48\/32. Find the second derivative of 29*m - 1033*m**3 - 31*m**h + 1033*m**3 wrt m.\nAnswer: -372*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -3\/5, 0.3, 5, 226\/3 in decreasing order.\nAnswer: 226\/3, 5, 0.3, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8*f - 22092 - 18950 + 41046.\nAnswer: -8*f + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = 9743*w**2. Let c(k) = -742*k**2. What is f(c(r))?\nAnswer: 5364145052*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1\/(-18))\/((-144)\/(-576)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = -5*u**3 - 2*u**2 + 1. Let q be v(-1). What is the third derivative of a**4 - 7*a**5 + 6*a**2 - a**q + 10*a**5 wrt a?\nAnswer: 180*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -33*p + 38*p - 25 = 0. Suppose p*h - 11 - 19 = 0. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 795\/10 - 3\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4213 + 947 = -172*y for y.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 144377, 289083, 433789?\nAnswer: 578495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j = 30959471 + -30959468.5699747. Let h = -2.43 + j. Round h to 6 dps.\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(((-6*(sqrt(30)\/sqrt(5) - sqrt(6)))\/(-1*sqrt(192)))**2 + -2 + -2).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c = -10 - -18. What is the greatest common divisor of 20 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3036*c**3 + 607*c**3 + 606*c**3 + 612*c**3 + 605*c**3 + 602*c**3.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 8418.5 times 37?\nAnswer: 311484.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -4 + (-1 + 2 + -1 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1041808342?\nAnswer: 2, 19, 27416009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 6798098009 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 428 minutes before 2:23 PM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k = -475.856 - -429.85. Let r = k - -46. What is r rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 457 minutes before 6:39 AM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z = 14 - 15. What is the nearest to z in 4\/3, 3\/7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 16 + (1 - -1) - 2. What is the derivative of 19*l - 1 - w*l + 2 wrt l?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = 9*k + 9. Let u be m(7). Suppose -l = -4*l - u. Is 1 smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) be the first derivative of w**4\/4 + 4*w**3\/3 + 3*w**2 + 10*w - 11. Let p be c(-3). What is the greatest common divisor of p and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 17 - 3*o + 3*o + 2 - 14*o wrt o?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 3, z: 5}. Give prob of sequence uu.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 100 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1153095 is divided by 29565.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: ((-3 - -3) + -4 - 0) + 23\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v = -8\/198221 - -37466689\/72350665. Let d = 81\/52 + -5601\/3796. Let j = d + v. Which is bigger: 0 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -3876179*v*y + 27*y + 31407 with respect to v.\nAnswer: -3876179*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = 4*c - 1. Let w be g(-5). Let l = w + 28. Solve -d + l = -3*v, 0*d + 20 = -4*d for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (0 + 0)*2\/4. Suppose 0 = 4*t - 8 - 8. Let m be 225\/665 + t\/(-14). Which is smaller: m or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -1570*f**2*o**3*u**2 + 3*f**2*o**3 - 21*f**2*u**2 - f**2 + 6*f*o*u - 18*o**3*u - 285*o wrt u?\nAnswer: -3140*f**2*o**3 - 42*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 6 a factor of 373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Factor -57*m**2\/8 - 177*m\/8 - 9\/4.\nAnswer: -3*(m + 3)*(19*m + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 1281.67 rounded to the nearest integer?\nAnswer: 1282","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = 6*j**2 - 7. Let d(u) be the second derivative of -7*u**4\/12 + 4*u**2 - 5*u. Calculate -5*d(m) - 6*g(m).\nAnswer: -m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is (-4)\/6 + (-5221)\/(-69) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is p in 31*p**2 - 3*p**4 + 600*p - 36 + 9*p**3 - p**5 - 600*p = 0?\nAnswer: -3, -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = -151438*f - 1060075. Give j(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} {"text":"Question: Is 8 a factor of (-2*(-1)\/(-4))\/(101\/(-155338))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 65 = -6869*s + 6856*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = 3*j**2 + j - 5. Let m(o) = o**2 + o - 1. Suppose -k - 393 = -389. Calculate k*m(g) + f(g).\nAnswer: -g**2 - 3*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g be (1 + 2\/(-3 + 4))\/1. Let p be g\/(6 + 0)*22. Suppose -4*k - 5*o - p = 0, -k + 6*k + o - 2 = 0. Which is the biggest value? (a) -3 (b) -2\/19 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 137\/13715520 and -157\/390?\nAnswer: 13715520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put 3, -11, -3 in ascending order.\nAnswer: -11, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 1 (base 3) to base 5\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q - 3*q = -108. Let n = q + -25. Let o be (-5 + n)\/((-9)\/15). Calculate the highest common divisor of 5 and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*n**2 + 4*n**2 + 0*n**2)*(1 - 10 - 1)*(-2 + 3 - 3).\nAnswer: -20*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c = -972 + 1003.74. Let p = c + -48.8. Round p to the nearest integer.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*r - 2*g + 1 = 0, 2*r + 4*g = 1 + 5 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 1645 divided by -5\nAnswer: -329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -17*d + 11*d + 2 + 9*d to the form h + c*d and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 279331*a**3*g**4 - 26586264*a**3 - 13*a*g wrt g.\nAnswer: 1117324*a**3*g**3 - 13*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 9 (b) -2.3 (c) -0.4 (d) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 122021120 - -11?\nAnswer: 122021201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = d**2 - 15*d - 2023. Give c(-38).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*l - t + 447, -4*l + 5*t + 369 = 2*t. Suppose 3*o + 2*o - l = 0. What is the greatest common divisor of 90 and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is ((-422)\/4)\/(9\/(-36)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 22200221120122 (base 3) to base 14.\nAnswer: 885433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m = 155 + -160. Calculate the remainder when (1 + -9 - m) + 71 is divided by (-1 - 33\/(-12))*8.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 4 - -1014?\nAnswer: 1023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate 33.72*0.4.\nAnswer: 13.488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -7829, -7905, -8009, -8153, -8349?\n\"Answer: -2*k**3 - 2*k**2 - 56*k - 7769","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in -4, 51, 202, 497, 984?\nAnswer: 1711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 2161 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k = 3*w - 0*w - 9, 20 = 4*k + 4*w. Suppose 4*r = -4*i + 1060, k*r - 5*i = 4*r - 273. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = -s + 15. Let z(p) = -3*p**2 - p. Let v be z(-1). Let u(f) = f**2 + f - 2. Let l be u(v). Is m(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = 906*r - 759. Does 10 divide q(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -22 + -11. Let m = v - -41. What is the remainder when 23 is divided by m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine d so that -d**4 + 381*d**3 + 767*d**2 - 381*d - 766 = 0.\nAnswer: -2, -1, 1, 383","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 4, v: 6, g: 10}. Give prob of sequence vv.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 15115 (base 6) to base 5\nAnswer: 34143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Put 32, -57, -40 in decreasing order.\nAnswer: 32, -40, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = 9*k + 142. Let o be g(-14). Let v(r) = -9*r + 149. Let n be v(o). Let z(u) = -32*u - 12. Let f(x) = 13*x + 5. Calculate n*z(j) + 12*f(j).\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w*w*w**(-4\/15)\/w)\/w**(9\/2) assuming w is positive.\nAnswer: w**(-113\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (-73 + 8*f + 73)*(7*f**4 - 6*f**4 + 0*f**4 + 0*f**4 + 0*f**4 - 2*f**4 + (2*f + f - 4*f)*(-3*f**3 + 5*f**3 + 0*f**3) - f**4 + f**2 - f**2).\nAnswer: -32*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((b*b**6*b)\/b)\/(b*b**(1\/11)*b))\/((b\/b**(-4\/3))\/(b\/((b*b**(2\/13))\/b))))**(-40) assuming b is positive.\nAnswer: b**(-58720\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 1362161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0*q - 8*q**3 + 2*q - 4*q to a*q + n*q**3 + c*q**2 + k and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z be 1 - 1 - (6 + -10). Suppose -5*p - 13 = -3*l - 0, -z*p - 13 = -5*l. Let o be p - (-28)\/3*(-1)\/(-2). Which is greater: 4 or o?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:34 AM and 8:10 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*r = 818*a - 821*a - 14, r = -8*a - 23 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m = 20864 + -3045. Is 173 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 650.8 minus 39569486912?\nAnswer: -39569486261.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {a: 3, v: 1}. Give prob of picking 2 a.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is ((-10)\/(-1))\/(470\/(-188))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q be 1\/(-3)*2*-3. Suppose 18 + 2 = -q*j. Let w(d) = d**2 + 10*d + 1. Let k be w(j). Sort k, 0.3, -1.\nAnswer: -1, 0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = -s**3 - s + 5. Let w(v) = -v**2 + v + 2. Let d be w(2). Suppose 56 = 4*k + 5*m, 5*m = 15 + 5. Calculate the remainder when k is divided by y(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((k*k**1*k*k)\/k)\/(k*k**(2\/11)*k*k))**(2\/3)*((k**(-1\/5)\/k)\/k**(5\/4))\/(k**(-2\/3)\/k)**(4\/11) assuming k is positive.\nAnswer: k**(-1297\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*l - 38970 = -7*l. Let h = l + 64294. Round h to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = 31*n. Let t(l) = 2*l**2 + 79793. Calculate i(t(b)).\nAnswer: 62*b**2 + 2473583","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -4\/3 in -4, -2\/3, -0.12?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 436203023 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -1 + 42107\/(-4680) + 10 and -77\/240.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + 3 - 8*l + (4*l - 2*l - 4*l)*(-3 + 0 + 2) + 89 - 89 - 20*l)*(3*l**2 + 4*l**2 - l**2).\nAnswer: -156*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 l when three letters picked without replacement from llllellllelllllllll?\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 4.182618 micrograms?\nAnswer: 0.000004182618","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Put -48, 1\/31, -13, -2\/9, 7 in descending order.\nAnswer: 7, 1\/31, -2\/9, -13, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -1159 times -16.9885?\nAnswer: 19689.6715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -3310 (base 6) in base 3?\nAnswer: -1001020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = t - 46 - 35. Suppose 5*l = 13 + 32. Calculate the highest common factor of l and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -9 + 12. Let k = n + 4. Calculate the least common multiple of 5 and k.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 949747 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s = 21 + -9. Suppose -3*i + 5*i - s = -5*n, -4*n = 3*i - 11. Suppose 0 = -2*t - 10 + 12. Which is bigger: t or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 2 and 737682.\nAnswer: 737682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) be the first derivative of 5*t**4 + 3. Calculate the least common multiple of (6\/(-1))\/((-3)\/10) and a(1).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) = 2*a + 51. Determine k(-12).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: (5\/75 + (-2)\/(-6))\/((-117)\/(-135))\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v be -732850 - 2\/4*0. Let o = 347214 + v. Let l = o + -1494364. Round l to the nearest 100000.\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 50427 is divided by 25204.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 206570 is divided by 68836?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Does 53 divide 79790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1317690.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*h - 12 = 4*i, -h + 2*i - 5*i + 3 = 0. Suppose 0 = -4*z + 5*n, h*z + 4*n = 4*z - 11. Which is the second biggest value? (a) -3\/2 (b) z (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -6 + (68 - 46) + 1 + -29 + 39\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g - 8 = g. Let z(r) be the second derivative of -r**3\/2 - 16*r**2 + 48*r. What is the remainder when g is divided by z(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 91 by 8783.\nAnswer: 91\/8783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Factor r**3 - 40292*r**2 - 120883*r - 80590.\nAnswer: (r - 40295)*(r + 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = -r**3 + 9*r**2 + 11*r - 2. Let k be f(10). Let v = -3 + k. Solve 2*l = -3*x + 6, -17 = 3*l + 3*x - v*x for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 23072.\nAnswer: 2, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) be the third derivative of 0*w**3 + 0 + 0*w - 1\/30*w**5 + 0*w**4 + w**2. Let j(f) = 6*f. Calculate j(p(d)).\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -237ec1 (base 15) in base 3?\nAnswer: -10012020122101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = 57 - 52. Suppose -r*k = 4*o - 0*o - 56, o = k + 23. Suppose 0 = -16*z + o*z - 11361. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 67 + 14*r - 9*r**2 - 140 - 5*r**2 + 73 + 4*r**2.\nAnswer: -10*r**2 + 14*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 4\/51 <= 28\/4199?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*r + 6 = -6*r. Which is smaller: r or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1 or 51\/13544?\nAnswer: 51\/13544","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in -10, 8, -2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -1533670 divided by 206?\nAnswer: -7445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1119012 + -340572. Round n to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 2135 + -1458. List the prime factors of y.\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -32134233*g**4 + 36267754 with respect to g.\nAnswer: -128536932*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u = -10 - -25. Suppose -2*y = v + 8, 3*y = -v - 2*v - u. Which is greater: y or -9\/5?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 20101200220101 (base 3) in base 11?\nAnswer: 1a11a03","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (((-78)\/(-91))\/(20\/35))\/(6\/(-44)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence tmm when three letters picked without replacement from {m: 2, y: 1, e: 3, h: 3, t: 1}?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.124067 + -0.1183. Round k to 4 dps.\nAnswer: 0.0058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g = -0*g. Which is bigger: g or -5\/6?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 110 (base 2) to base 4\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-402 + 94 - 183)*(-4 + 3 - 1)*(4 - 2 + 1)*(-3*c - 3*c + 4*c).\nAnswer: -5892*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18*p + 145 = -35. Solve -12*w = -p*w - 8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -531*z = -527*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sum 1449667966783 and -0.03.\nAnswer: 1449667966782.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 24633 and 859809.\nAnswer: 18055989","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q + 4*b - 16 = -b, -15 = -3*b. Let n be (4\/(-4) + q)*-1. Let k = n - 4. Solve g + 1 = -k*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u + 2 = -4*s, 2*u = -5*s + 9 - 0. Let b(x) = -x**2 + 2*x**u + x**2. Let q(o) = -5*o + 4. Let c(j) = j - 1. Let h(v) = -4*c(v) - q(v). Give h(b(i)).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -162, -233, -426, -801, -1418, -2337, -3618?\n\"Answer: -10*z**3 - z**2 + 2*z - 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in five eighths of a meter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence jjmj when four letters picked without replacement from {m: 3, j: 4}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 29\/6? (a) -4 (b) 0.72 (c) 0.7 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 485.3587 millilitres?\nAnswer: 0.4853587","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {z: 3, b: 1, p: 13}. Give prob of sequence pp.\nAnswer: 39\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = -t**3 - 5*t**2 + 5*t - 6. Let d be z(-6). Suppose 0*j = 2*j + 3*v - 67, 3*v - 9 = d. What is the remainder when 142 is divided by j?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 634 bigger than 634?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0.1 - -0.04. Let f = 0.04 - v. Which is the closest to f? (a) -0.5 (b) -5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = 2*k**2. Let c(p) = -2*p**2 + 6*p - 4221. Determine c(y(q)).\nAnswer: -8*q**4 + 12*q**2 - 4221","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = -4*h**2 + 182*h - 107. Determine m(44).\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 2 (b) -1\/8 (c) -1\/5 (d) -2.4 (e) -1.4 (f) 1.7 (g) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b = -437 - -513. What is the remainder when b is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = k**3 - 3*k**2 - 34*k + 119. Let x be t(4). Let h(d) = -4 - 3*d + 4*d - 4*d. Let g(l) = l. What is x*h(o) - 5*g(o)?\nAnswer: -2*o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 255182 a multiple of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = c. Let z(t) = -22*t + 2. What is -4*l(r) - z(r)?\nAnswer: 18*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m = -5 - -11. Suppose 3*n - 17 = 19. What is the remainder when n is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -8.39 - -3.39. Put f, 2\/3, -0.2, -0.6 in descending order.\nAnswer: 2\/3, -0.2, -0.6, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 31548568141 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h = 12974 - 12974. Let w be (0 - -2)*30\/4. Solve -3*c + 15 = -p, p + 3*c - w = -h*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2 - (-10 + 4 + 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.01? (a) 0.3 (b) 678 (c) -0.4 (d) 3 (e) 1 (f) -20.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Convert 4087e (base 16) to base 2.\nAnswer: 1000000100001111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 750059?\nAnswer: 750059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -37\/5238 and 187\/30?\nAnswer: 26190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -11310690 rounded to the nearest one hundred thousand?\nAnswer: -11300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is next in -17135, -17212, -17445, -17912, -18691?\nAnswer: -19860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = -47*x - 110. Determine z(-3).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -10*a*f**5 + 182*a*f + 17864063*f**2 - f + 1808127 wrt f?\nAnswer: -200*a*f**3 + 35728126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n = -20.809 - -16.809. What is the nearest to -5 in -1\/3, 1\/4, 1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 508876?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) be the second derivative of 7*w**4\/3 - w**2\/2 + 64229*w. Suppose 7 = -3*y + 4*y - 3*t, -4*t = -2*y + 10. Determine r(y).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = 2*m + 3. Let p be h(-2). Suppose 16 = 5*l + 1. Suppose l*d = w - 5, 5*d + 4 + 3 = 2*w. Sort 2, d, p in decreasing order.\nAnswer: 2, p, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Add -355827273994 and 13.\nAnswer: -355827273981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = -2*a + 31. Let n be v(6). Solve -n*y + 16 = -23*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {y: 3, z: 5}. What is prob of sequence yyzz?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g = 2*g - 15. Let k = 69.61 - 69.31. Which is the closest to g? (a) -3 (b) k (c) 50\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.2432472 times 4\nAnswer: -0.9729888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -3, -710, -164, -4, -5 in increasing order.\nAnswer: -710, -164, -5, -4, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((g**(-4\/3)*g)\/g**(-1\/7))\/(g**18\/(g\/g**14)))**(-1\/2) assuming g is positive.\nAnswer: g**(655\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: (-49 - (-2 - 36)) + (-4 - 0)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 30, 4, -3, -1\/38?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i\/(i*(i\/i**16)\/i))\/i**(-1\/18)*(i*i*i*i**(-2\/35)*i*i)\/i**(15\/4) assuming i is positive.\nAnswer: i**(21733\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate 10*-60.\nAnswer: -600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = -k**3 + 7*k**2 - 4*k - 6. Let a(u) = -2*u + u - u**2 + 0*u**2 + 0 + u**3 + 6. Let d be a(0). What is the units digit of l(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -3, -48, -9, 3.\nAnswer: -48, -9, -3, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -73279*l**3 + 44419*l?\nAnswer: -439674*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round 7.905 to 1 dp.\nAnswer: 7.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 1 divided by -8017\nAnswer: -1\/8017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 93623716 and 6.\nAnswer: 280871148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 5815 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -0.20011 * 9463\nAnswer: -1893.64093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is seventeen quarters of a millimeter in micrometers?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*b + 4656*k - 4655*k = 1, k = -b + 8 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = o - 2. Let k be ((-4)\/(-2) + -3)\/(-1 - 0). Suppose -4 + k = 3*a + 3*n, 5*a + 2*n = 1. Calculate g(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 100 - 16. Let j = b + -136. Let n = j - -87. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = 7849999*m + 2. Let i be j(2). Round i to the nearest one million.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 3730 and 890?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify a**9\/(a*a**(-5))*((a*a**0*a)\/a)\/a**7*((a**11*a*a)\/(a\/a**(1\/8)))**(3\/4) assuming a is positive.\nAnswer: a**(515\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is (-10 + (-1160)\/(-132) - (-18)\/33)*60?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = 2*a**2 - 34*a + 50. Determine l(15).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*x - 146*m + 151*m - 13 = 0, -4*x + 4*m - 20 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 0.238 plus 136730.131797?\nAnswer: 136730.369797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m = 141 + -145. Let p = -0.05 + 3.05. Which is the closest to p? (a) m (b) -1 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -42 - 1731418691806.\nAnswer: -1731418691848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l = -s + 3, -3*s - 3*l = -14 + 41. Let g = s - -7. Suppose -4*h + 53 + 3 = g. Is 11 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.3572 rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b = -8299 + 55430. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:33 AM and 7:29 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 3097561 + 44124.212\nAnswer: 3141685.212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o - 50 = -4*f, 2*f + 0*f + 4*o = 16. Let b(w) = 2*w**2 + 13*w - 29. List the prime factors of b(f).\nAnswer: 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine l so that -2*l**2 + 38654*l + 38656 = 0.\nAnswer: -1, 19328","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 46562 is divided by 7074.\nAnswer: 4118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 2763011?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 13581.23s in microseconds?\nAnswer: 13581230000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o = -5 - -3. Let s = o + 16. Calculate the smallest common multiple of 10 and s.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {t: 4, v: 2, r: 7, b: 1, q: 6}. What is prob of sequence ttt?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v = -0*v + w - 24, -4*w = -2*v - 26. Let u(l) be the first derivative of -3*l**2 + 22. Let m = 8 + -12. Let b(k) = 4*k. What is m*u(s) + v*b(s)?\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence kri when three letters picked without replacement from iierirrrrrkeeieei?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g be 7\/(-3 + 1 + 3). Let c = -4 + g. Let p be c\/(-9) + (-140)\/12. What is p rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2305869?\nAnswer: 3, 768623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 114*v - 65*v = -75*v + 496 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 1116 and 78678?\nAnswer: 157356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.222 + 0.052. Let q = -0.23 + w. Sort q, -1, 3\/4, 4 in descending order.\nAnswer: 4, 3\/4, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {o: 11, e: 5}. What is prob of sequence ee?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 3197 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find z such that 2*z**2\/13 - 660*z\/13 + 1962\/13 = 0.\nAnswer: 3, 327","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is next in 7, -40, -105, -194, -313, -468?\nAnswer: -665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -84 + 92 - (-2 + 10 + -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 0 divided by -1086?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1311 + -1006.3. Let w = 305 - t. Which is the nearest to -2\/7? (a) w (b) 3 (c) -3 (d) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 60216 plus 86?\nAnswer: 60302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {q: 1, y: 1, p: 1, w: 1, z: 1}. Give prob of sequence yp.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) be the third derivative of -u**5\/60 - 7*u**4\/24 - 317*u**2. Determine l(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 22679391?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 892, 1864, 2862, 3898, 4984, 6132, 7354, 8662?\nAnswer: 10068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -91918*f**3*p**4 + 2*f**3*p**3 + 5*f**3*p**2 + 20*f**3*p - 94*f*p**2 + 2*f*p wrt p.\nAnswer: -2206032*f**3*p + 12*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = -12*v**2 - v - 7. Give l(-3).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) be the third derivative of 23*y**4\/24 - 3*y**3\/2 + 2*y**2 + 1629. Let a(j) = -15*j + 6. What is 8*a(m) + 5*n(m)?\nAnswer: -5*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3\/54*(-9 + 13).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 161449155219 + -161449155137.000000011. Let p = s - 82. What is p rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m = 4*q - 98, q + q - 4*m = 38. Suppose -5*f + q = 2*l, 2*f + 0 = l + 2. Let u = l - 0. Let y(v) = -2*v + 2. What is y(u)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -3428079 by 34.\nAnswer: -3428079\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 12339 is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 350421 (base 10) in base 7?\nAnswer: 2656431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 3015638 (base 10) in base 11?\nAnswer: 177a76a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express -q**2 - 6*q**4 - 2*q + 0*q**2 + 15*q**4 - 10*q**4 + 2*q**3 in the form h + a*q**3 + t*q**4 + v*q + g*q**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c = 13\/9 - 4\/3. Let q = 3 - 2.9. Let t = -0.3 + q. What is the biggest value in t, c, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 148 minutes after 10:36 AM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: (-25 - -12) + 62 - 3\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Product of -24 and -646.\nAnswer: 15504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:50 PM and 12:07 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = -21*b + 108. Calculate x(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((h**1\/h)\/h)**(-41)\/(h**1*h*h**(-1\/3)*h))\/(h**(-1\/2)\/(h\/(h*h**4)))**(-4\/15) assuming h is positive.\nAnswer: h**(589\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = -2*b**2 + 92*b - 1356. Let h(v) = 2*v**2 - 90*v + 1356. Let f(m) = -6*h(m) - 7*j(m). Let r(s) = 1. Let k(y) = f(y) - 4*r(y). Solve k(u) = 0.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -92\/67 - -5764\/3417. Calculate the common denominator of z and -38\/5.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 27010 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Express 3*f + 0*f - 5*f + 0 + 2*f + 0 + (-4 + 1 + 2)*(-3*f - 3*f + 7*f) + (-47 + 4*f + 47)*(-3 + 2 - 1) as x*f + y and give x.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: ((-89)\/(-89))\/(49\/((-2)\/2))\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7 - 16 = -3*c. What is the greatest common factor of c and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*f + 4*f = 4*q - 64, 3*q - 52 = -5*f. Suppose 0 = -i + q + 7. Suppose -i*m = -18*m + 3. Let l(w) = 3*w**3 + w**2 + w + 1. Give l(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = g**3 + 5*g**2 - 6*g + 3. Let a(d) = d**3 - 6*d**2 - d. Suppose 1 = -5*i + 31. Let k be a(i). What are the prime factors of o(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2211576111?\nAnswer: 3, 245730679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 93 = 32*y - 67 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:59 AM and 8:01 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g = -4*c + 830690, 5*c - 409436 = -g + 628916. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = -6*m**4 + 4*m**3 - 4*m**2 - 4*m + 6. Let i(j) = 7*j**4 - 5*j**3 + 5*j**2 + 5*j - 6. Let r(p) = 4*i(p) + 5*z(p). Differentiate r(s) with respect to s.\nAnswer: -8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = 0*y**2 - 2 - 8*y - 2 - 2*y**2. Let s be z(-3). Suppose p = -3*l + s*l + 16, p - 4*l = 21. What is the remainder when 67 is divided by p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -222 - -581c5?\nAnswer: 57ca3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Multiply 2 and 14924601.\nAnswer: 29849202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-369)\/320 - (3 - 2). Let q = -13\/64 - k. Find the common denominator of -81\/4 and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 104 minutes before 9:51 PM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is next in -5665432, -11330838, -16996216, -22661566, -28326888?\nAnswer: -33992182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 394354 is divided by 131444?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is next in -44043, -88086, -132139, -176208, -220299, -264418, -308571?\nAnswer: -352764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o be (528\/(-55))\/(3\/(-10)). Suppose 3*p + o = 4*w + 81, 2*w + 63 = 5*p. What is the remainder when 42 is divided by p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = -4*m**3 - 2*m**2 - 2*m. Let c(v) = 9*v**3 + 4*v**2 + 5*v - 1. Let d = -59 + 93. Suppose -5*l = d - 9. Give l*g(o) - 2*c(o).\nAnswer: 2*o**3 + 2*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r be (3 + -4)*10*-10. Let q = r - 15. What is the greatest common divisor of q and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 3337357 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w be 2\/4*0\/(-5 - -12). Suppose w = -b + 376 + 287. Is b a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 55*z = -39*z + 275 + 195. Solve -w + 29 = -z*i, 4*i - 10*w = -14*w - 4 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2\/(-10))\/((24\/(-8))\/3)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = -49*f**2 + 12*f - 11. Let q(h) = -h**2 + h - 1. What is 2*g(d) - 22*q(d)?\nAnswer: -76*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: (9 - 6) + 3 + -2 + (9 - 12)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*-1*sqrt(2) + sqrt(2) + sqrt(50) + sqrt(2) + sqrt(2) + -5.\nAnswer: -5 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-99)\/(-15) - (-1)\/((-5)\/3). Suppose 0 = -5*b + t*b - 4*u + 14, -2*b - 4 = -2*u. Find the third derivative of -17*k**b + 406 + 11*k**3 - 406 wrt k.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/2? (a) 1 (b) 5 (c) 1.7 (d) -3\/1856 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = 2. Let g(h) = -2253*h - 4506. Determine -g(d) - 2253*z(d).\nAnswer: 2253*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = 2*z**2 - 40 + 13 + 7 + z + 17. Let i be b(1). Factor i*v + 3\/5*v**2 + 0 + 1\/5*v**3.\nAnswer: v**2*(v + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -8980580 by -23.\nAnswer: 390460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 597, 539, 481?\n\"Answer: -58*g + 655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 2272968682 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from oqcqcocddcq. Give prob of picking 2 q and 2 d.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -22571968*h**2 + 36325*h - 510 wrt h.\nAnswer: -45143936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 2933 bigger than 2925?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 - 733754972.7669.\nAnswer: -733754976.7669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f + 1 = 0, 3 = 3*q - 2*f - 4. Let v be 2\/q*(6 + 9). Let t(a) = 23*a - 9. Is t(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 68422 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = -9*s**2 - s. Let w be p(-1). Let q be (9*2)\/((-6)\/w). Suppose 0 = -5*j - 5*u + 110, u = 5*j - q - 92. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 19*k**3\/3 - 39361*k**2 + 35212*k + 12428\/3 = 0 for k.\nAnswer: -2\/19, 1, 6214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is (-4)\/16 - (-6 - (-796)\/144)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a = 6, 3*a = -2*d + 8*a + 12. Let p(g) = 5*g**2 + g - 1. Calculate p(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1597 a factor of 59759740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:44 AM and 6:23 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 98 and 1712278.\nAnswer: 83901622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 818872?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = -4143*d**3 + d**2 + 10*d - 8. Let a be v(1). What is a rounded to the nearest 100?\nAnswer: -4100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 357*v + 4763 + 5404 - 2313 for v.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from rvvxvvrrcrrv. What is prob of picking 1 x and 2 r?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express -12*f - 79 + 79 + f - 1 + 1 + (0 + 1 - 3)*(-f + f - f) + 6*f + 3*f - 3*f as h*f + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*t**4 - 5*t**4 - 4*t**4 + (95 - 22 - 14)*(2*t + 2*t**2 - 2*t)*(-2*t**2 - 3 + 3) to the form p + s*t**4 + m*t**3 + d*t + v*t**2 and give s.\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 11c7b07 (base 13) to base 3\nAnswer: 101110101020210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = 13923*l**2 - 192*l - 7. Let x(d) = -3*d. Determine x(o(i)).\nAnswer: -41769*i**2 + 576*i + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/3 in -0.0162, 0.2, -4, -35?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -12 - 2*y - 17*y + 2*y**3 + 58*y**2 + 19*y.\nAnswer: 2*y**3 + 58*y**2 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = -3*o + 18. Let l be z(9). Let r = -5 - l. Solve 4*k - r*c + 2 = 3*k, 6 = 4*k - 2*c for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {s: 11, g: 3}. What is prob of picking 3 s?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d = -p - 16, -2*d + 1 - 23 = -3*p. Put p, -3\/4, -2\/379 in descending order.\nAnswer: p, -2\/379, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 260 is divided by 99?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 12033?\nAnswer: 3, 7, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 28966875 and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is next in 67, 62, 57, 52, 47, 42?\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Put 92, 4, -9 in ascending order.\nAnswer: -9, 4, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) be the second derivative of -g**4\/12 + g**3\/6 - 4*g. Let w be l(0). Let y be ((-3)\/12)\/(37\/(-296)). Solve w = -0*d - 2*d + y for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0.4, -4, -1\/2, -420.5, 1\/3 in decreasing order.\nAnswer: 0.4, 1\/3, -1\/2, -4, -420.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) be the first derivative of -3*h**5\/25 + 51*h**4\/20 - 93*h**3\/5 + 105*h**2\/2 - 294*h\/5 - 427. Solve n(y) = 0 for y.\nAnswer: 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = 11*i**3 + 3*i**2 - 8*i + 6. What is the remainder when 14 is divided by h(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1 - -0.9. Let l = -0.1 + s. Let y = -0.07 + -0.03. Is y not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-5)\/(-27))\/((-400)\/(-480)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 3873447 to the power of 1\/2, to the nearest integer?\nAnswer: 1968","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d\/(((d*d**(-4\/11))\/d)\/d))**(-16)\/(d\/(d\/(d**(-8)\/d)))**(-33) assuming d is positive.\nAnswer: d**(-3683\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = u**2 - u - 31. Let a be z(8). Let w(k) = 26*k + a*k - 55*k. Let t(q) = q. Calculate w(t(s)).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 31440983 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 2351717 and 2517?\nAnswer: 839","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 29, 13, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u = -1000587092 - -1000587058.99999946. Let m = -33 - u. What is m rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 13 + -8. Suppose 0 = 5*z + l - 230, 0*z + 3*l - 32 = -z. Suppose -b*x + q + z = -11, -4*x + 46 = -q. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 58144406.\nAnswer: 2, 31, 937813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 1 and 202.36?\nAnswer: 202.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = -8*o**3 - 2*o**2 + 4*o + 7. Give p(-2).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is c in 9*c**3\/5 - 4*c**2\/5 - 9*c\/5 + 4\/5 = 0?\nAnswer: -1, 4\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 256256 is divided by 28256.\nAnswer: 1952","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = n**3 - 9*n**2 + 10*n - 8. Suppose 4*o = -2*y - 6, 12 - 4 = 4*y + 4*o. Determine d(y).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 0 (base 10) to base 15\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Add 886.26 and -1201.6.\nAnswer: -315.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 4818819 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = 38*g - 81. Let k(c) = -c + 35. Let m be k(9). Is j(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = 19 + 0*t - 18 - t. Let i(x) = 4*x - 2. Determine i(j) + 2*n(j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k = 5 - -10. What are the prime factors of k?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*a - 4*i + 2*i + 19, 0 = -i - 3 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = 25056*z**2 - 55*z + 226. Is o(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2599 is divided by 142.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 333, 330, 325, 318, 309, 298, 285?\nAnswer: 270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 1620*l*m**4 + 2311*l with respect to m.\nAnswer: 6480*l*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is (2\/25)\/((-356)\/40 - (-60 - -51))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-49*j + 32*j - 2 + 42*j)*(5 - 4 - 3)*(-4*j + 2*j + j)*(-2 + 5 - 2).\nAnswer: 50*j**2 - 4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -4185*-28601\nAnswer: 119695185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 129513*m**4 + 393466*m.\nAnswer: 1554156*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) be the first derivative of 4*b**3\/3 - 2*b**2 - 1. Let a = 10 + -5. Let h(r) = r - 10*r + 1 + 7*r**2 + 2*r**2. What is a*f(m) - 2*h(m)?\nAnswer: 2*m**2 - 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 6\/5 (b) -11 (c) 2 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Factor 12*m**3 - 13136*m**2 + 1007620*m.\nAnswer: 4*m*(m - 83)*(3*m - 3035)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Factor -o**2\/11 - 136531036*o\/11 - 4660180947808324\/11.\nAnswer: -(o + 68265518)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 172 minutes after 10:18 PM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 2 (base 5) in base 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Determine h so that 2*h**2\/3 - 157226520*h + 9270066971741400 = 0.\nAnswer: 117919890","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.03 + 0.37. Let x = 28 - 23. Suppose -x*r + 22 = 3*v, -3*r + 4 = -r. Put -4, l, v in ascending order.\nAnswer: -4, l, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose k - 10 = -7. Factor 2*o**4 + 0*o**4 + 6*o**2 + 3*o**3 + 2*o + 0*o + 3*o**k.\nAnswer: 2*o*(o + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2 in 1925, 0, -3\/2, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:04 PM and 1:16 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c = -9.84 - 0.16. Let h = 9.9 + c. Sort 0.2, -2\/3, h in ascending order.\nAnswer: -2\/3, h, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0 + 30. Suppose 5*m - g = 30. Does 6 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 151250 rounded to the nearest 1000?\nAnswer: 151000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) be the first derivative of 23 - 4*u**2 - 7 + u**3 - 3*u + 0*u**3 - 6*u. What is the derivative of v(q) wrt q?\nAnswer: 6*q - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*n - 2*n = 3*p + 2*n - 37, 61*p - 65*p - 27*n - 64 = 0 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + -2 + sqrt(125) + 3 + (sqrt(125) - 2*sqrt(125))**2.\nAnswer: 5*sqrt(5) + 127","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (666\/9620 + 2\/(-4))\/(3\/5) and 55\/93.\nAnswer: 1209","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 5881.2713 + 0.5287. Let v = -5881.848913 + d. Let m = v + 0.049. Round m to 5 dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 6*x + x + 2 + 3*x - 2 + 2 - 3*x + (0 - 2 + 3)*(3*x - 2*x - 3*x).\nAnswer: 5*x + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -664*o**4 + 4*o**3 + 2*o**2 - 12503*o - 4?\nAnswer: -7968*o**2 + 24*o + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*p = 5*p + k - 20, 3 = -4*p + 3*k. Suppose -5*x + p*f + 95 = 0, 0 = 3*x - f - 13 - 40. Calculate the smallest common multiple of x and 18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (4 + 5 + -4 - 0) + (-12 - 9)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 23 a factor of 667?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 4 + -180?\nAnswer: -177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = o + 7. Let w(h) = -h - 13. Let v(z) = -7*j(z) - 4*w(z). Let c be v(11). Let b be (-6)\/5*500\/c. Solve 5*u + 0 = b for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 20884 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = 14*b - 64. Let i be o(5). Solve 2*q - r = i*q - 4, -5*q + 5 = 4*r for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 429 and 172029.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -11*v - 382 = -338 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) be the second derivative of w**4\/12 + w**3\/3 + w**2 - 2*w. Let a(n) = 3*n**2 + 5*n + 6. Let g(j) = -2*a(j) + 7*u(j). Determine g(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -7443 - 11?\nAnswer: -7454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1\/1)\/(2\/12)*(-143)\/(-78).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 247 divide 189717909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 3\/2 (b) -70 (c) -2 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -120 - 0?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -6485, -12969, -19453, -25937, -32421, -38905?\nAnswer: -45389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 17, 113, 287, 545, 893, 1337, 1883?\nAnswer: 2537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Does 20 divide 42572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -2 = -3*a + 5*t + 5, -2*a + 8 = -5*t for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m = 166 + -17. Let o(g) = -7678 + m*g + 7678. Let q(y) = 2*y**2. What is q(o(x))?\nAnswer: 44402*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 15 times 5\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:13 AM and 10:06 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Put -5, -4, 4, 43, 6 in increasing order.\nAnswer: -5, -4, 4, 6, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n be 5\/2*(-48)\/(-30). Let l(m) = 3 - 2 - m - n + 2. What is the units digit of l(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth smallest value in 1\/7, -3284, 3, 4, -0.1, -3\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4*z**3 - 7*z**3 + z**3 - 1146568*z - 19 + 1146572*z + 0*z**3 - z**4 to f*z**4 + d + t*z**3 + x*z + c*z**2 and give d.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g = -109400 + 4704902\/43. Which is smaller: 16 or g?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = -4*z - 209. Let i(y) = -7*y**2 + 123*y + 2. What is i(k(m))?\nAnswer: -112*m**2 - 12196*m - 331472","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 2 and -48\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c = -156 - -467\/3. Let y = 1 + -4. What is the closest to c in -2, y, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2124.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 19, -5, 1\/2 in decreasing order.\nAnswer: 19, 1\/2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 46268587367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = -82*c - 2. Let w(x) = 8*x - 14*x + 7*x. Calculate z(w(i)).\nAnswer: -82*i - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 4595 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 854965845 and 9598.\nAnswer: 4799","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = 5*u - 29. Give i(9).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is next in 324, 1342, 3084, 5580, 8860, 12954?\nAnswer: 17892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 731069 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -46, -329, -1056, -2443, -4706, -8061, -12724?\n\"Answer: -36*y**3 - 6*y**2 - 13*y + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d = -4*s + 203585, 0 = -61*s + 64*s - 5*d - 152659. What are the prime factors of s?\nAnswer: 2, 3, 17, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 451 less than -9?\nAnswer: -460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*z = 8*z + 4*d + 8, -3*z = -2*d - 4. Solve -5 + z = -5*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = j + n + 181560 + 278445, 0 = 5*n + 25. Round j to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 54 - 55. Let g = 54 + -56. Let z be ((-3)\/(-3) - g) + 0. What is the nearest to -2 in v, -2\/13, z?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -10\/3 in 3, -8, 5?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = -z**3 + 6*z**2 + 7*z + 5. Let i be b(7). Suppose -p + i*p - 256 = 0. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -6720 + 126 - 5902 = -182*b + 6*b for b.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = 2*m**2 + 14*m + 2. Suppose 5*u + v + 38 = -2, -5*v - 25 = 0. Let s be w(u). Solve 0 = c - s for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence tult when four letters picked without replacement from ullttttltu.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 1420, -41834 in decreasing order.\nAnswer: 1420, -1, -41834","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = v**3 + 19*v**2 + 25*v + 48. Let o be i(-20). Let p = 4787 + o. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 606 and 1932837.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify k**(4\/11)*k**(1\/6)*k\/(k\/k**(-2\/15))*k*k**(1\/4)*k*k assuming k is positive.\nAnswer: k**(2407\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: (214\/(-321))\/((4\/3)\/(-4))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -244 - -265. Solve 20 = -17*u + a*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) be the second derivative of -n**4\/12 - 33*n**3\/2 + 944*n. Factor v(f).\nAnswer: -f*(f + 99)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2680*y**2 + 2412*y**2 - 5092*y**2 - 3*y**3.\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 34 + 11*q**3 - 20 - 14 + 2*q wrt q.\nAnswer: 66*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00000333 to 7 decimal places.\nAnswer: -0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/7, -3\/7, 1\/3, 6 in increasing order.\nAnswer: -3\/7, -2\/7, 1\/3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -20483, -41539, -62593, -83645, -104695, -125743, -146789?\n\"Answer: i**2 - 21059*i + 575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1\/((-1)\/(-3)))\/(26496\/2944)*87\/(-1).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-1)\/(-2)*(2 - -2). Let w = -5\/8 - -63\/88. Find the common denominator of 186\/(-4) + (-4)\/o and w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -34\/65 or 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = 2*w**2 + 4. Let x(j) = -13*j**2 - 2*j - 560. Determine 6*c(n) + x(n).\nAnswer: -n**2 - 2*n - 536","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6062.\nAnswer: 2, 7, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put -0.067, -5, -2\/3, 0.07 in increasing order.\nAnswer: -5, -2\/3, -0.067, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2525?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) be the first derivative of -a**5\/60 + a**3\/6 - 11*a**2 + 7. Let l(b) be the second derivative of s(b). Let l(g) = 0. What is g?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -45165718, -45165726, -45165746, -45165784, -45165846?\n\"Answer: -i**3 - i - 45165716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i = -138 - -314. Is 20 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3 + 3266407*u**2 - 6532844*u**2 + 3 + 3266446*u**2.\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g = -2\/111 + 129995\/777. Let s = g - 167. Let w = 1.7 - 2. Sort 4, w, s in increasing order.\nAnswer: w, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 34 + -137\/4. Let o = 35\/123 + 2\/41. Which is the closest to 2\/7? (a) i (b) o (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = -16. Let o(f) = -f + 13. Let w(c) = 4*g(c) + 5*o(c). Suppose 0 = -5*v + 5*z + 10, -3*z + z = 0. Suppose x = -v*x - 3. What is w(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} {"text":"Question: Convert 4808.354 millilitres to litres.\nAnswer: 4.808354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w = -43 - -43. Let f(z) = z**3 - 15*z**2 + 10*z + 10. Let n be f(15). Let t be (1 - (-3)\/(-7))*112\/n. What is the nearest to w in t, 3, 1\/2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 526 (base 9) to base 4\nAnswer: 12231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -197\/4830 and -187\/48300?\nAnswer: 48300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = 351*k**2 - k + 12. What is n(1)?\nAnswer: 362","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: ((75\/(-4))\/3)\/((-1)\/(-72)*-45)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d = 1 + 13. Suppose 0 = d*o - 13*o + 1. Round o to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = 3*i**2 + 1. Let o be s(2). Suppose 2*y - 552 = -2*y. Let j = 203 - y. What is the highest common factor of o and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -97166 divided by 2.\nAnswer: -48583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: (0 - 2) + (4 - -3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j be 25\/27 - (-9)\/(-9). Let o(y) = -y**2 + 4*y + 1. Let m be -1 - -3 - 6\/(-3). Let x be o(m). Is x at least as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be -3 + 0 - 8\/2. Let c(m) = -13*m + 15. What is the hundreds digit of c(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9 = -2*u - u. Suppose 6 = w + 3*d + u, 2*w = -5*d + 4. Let k = 4 - w. Calculate the smallest common multiple of k and 5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve a + 5*i = 56, 5*a + 3*i - 31659 = -31643 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-1)\/((-1)\/(-18)) - 0. Let l be 14\/21*p\/(-2). Let t(g) = -3*g**3 - 6*g**2 + 6. Let q(z) = -11*z**2 + 2 - 6*z**3 + 9 + 0. Calculate l*q(m) - 11*t(m).\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 52*a = 53*a - 5. Sort 123, 1, a.\nAnswer: 1, a, 123","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(84))\/sqrt(12) - sqrt(7) - (-5 + sqrt(63)) - (sqrt(567) - (sqrt(567)*-1 + -1)).\nAnswer: -21*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*z - 3*z = -21. Suppose -4*l + j = -0*j + 17, 3*j = -3*l + 6. Let n = l + z. What is the remainder when 6 is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) = 36*z**3 + 28*z**2 - 344*z - 28. Let s(j) = 4*j**3 + 3*j**2 - 38*j - 3. Give -3*l(g) + 28*s(g).\nAnswer: 4*g**3 - 32*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 437224 is divided by 523?\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:23 AM and 2:22 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x = -x. Suppose y + x*a - a + 3 = 0, a = -4*y + 3. Let k(b) = b**3 - b**2 - b - 1. Let w be k(0). Which is smaller: w or y?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -12 - -776b2?\nAnswer: 776a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -14 - -3 - (10 - 20)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in five eighths of a kilogram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 360 bigger than 0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Work out -21 + -217.4551843.\nAnswer: -238.4551843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 78 a factor of 234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) = -f**2 - 1046*f - 91224. Give y(-96).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = -r**2 - 12*r + 7. Calculate d(-12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 1339*f - 12692*f - 229741 - 292497 = 0 for f.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 + 16 = 4*r. Suppose -a - 2 = r. Let b(x) = -x**3 - 7*x**2 - x. Is b(a) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 817.859484 to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 54242168471 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 19277 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: Find the first derivative of -55 - 13*z + 32 + 34 wrt z.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose n - 6 = -12. Which is smaller: -4 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1307853 rounded to the nearest 10000?\nAnswer: 1310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 36374313.\nAnswer: 3, 12124771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence jjkk when four letters picked without replacement from kkjjkkkjl?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 615 is divided by 165.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/7 in 0.2, -38, 2\/7, 63, 18?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 123 minutes after 10:09 AM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 11086460 a multiple of 976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = 7*x**2 - x + 2. Let q = 12 + -14. Is 8 a factor of s(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.037561 rounded to 3 decimal places?\nAnswer: 0.038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 6 in 2, 6\/31, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 109 (b) -13 (c) -2\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 100 is divided by 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g = -485266781200.75 - 1187229801.25. Let f = 486454010753.999999869 + g. Let q = f - -248. What is q rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(3) + sqrt(3) + (sqrt(6)\/sqrt(2))**2 + 2 + 3.\nAnswer: 2*sqrt(3) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2991660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f be -5 + 2\/((-2)\/(-3)). Let q(t) = 10*t**2 + 8*t + 6. Let c(d) = d**2 - d - 1. Let n(w) = 5*c(w) + q(w). Is n(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) be the third derivative of 0*s**3 + 0*s + 1\/20*s**5 + 0 - s**2 + 0*s**4. What are the prime factors of u(-2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.39194 - -0.391873124. Round d to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u**3\/5 - 17879956*u**2\/5 + 35759906*u\/5 - 17879952\/5 = 0. Calculate u.\nAnswer: 1, 8939976","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1 - 7\/6 - 3\/(-18).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h - 5*l = 35, 0*l = -4*h - 4*l + 52. Calculate the remainder when 37 is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-862)\/(-64))\/(24\/32). Let u = 177\/8 - w. Calculate the common denominator of u and -99\/28.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = -a - 4. Let y be w(4). Let l = y + 10. Suppose l*q = r - 0*q - 1, -2*r + q = -8. List the prime factors of r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*t - 18*t = a + 37, -3*t - 18 = 4*a. Let s = -18 - -39. What is the remainder when (t - -74) + (1 - 9) is divided by s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 54 a factor of 124874730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 28, 20, -10, -74, -184, -352?\n\"Answer: -2*k**3 + k**2 + 3*k + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) be the second derivative of -70*u**3 + 431*u**2 - 584*u. Differentiate a(d) with respect to d.\nAnswer: -420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-7)\/((-84)\/8)*15\/2. Suppose g + 1 = -4*d - 7, g = n*d + 37. Calculate the lowest common multiple of 34 and g.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -50 + 5 + -21 + (74 - 65).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in -53, 154, 609, 1312, 2263, 3462?\nAnswer: 4909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s = -85 - -86. Which is smaller: s or -4\/195?\nAnswer: -4\/195","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 3\/(-7) + 180\/126. Find the second derivative of -15*l + 16*l**3 - 3*l - 23*l**3 - m - 105*l**3 - 3*l**3 wrt l.\nAnswer: -690*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 13 - 8. Let t be (-6)\/(-2) + 15\/g. Suppose -t*v + v = -110. List the prime factors of v.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 157*l**2 + 2 + 374*l**2 + 596*l**2 + 151*l**2.\nAnswer: 1278*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = -3*u - 3*p, 3*p - 6 = -u + 4*p. Solve -u*q = 2*q - 16 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = -d. Let u(j) be the third derivative of -103*j**5\/60 + 41*j**2 - 4*j. Determine u(c(k)).\nAnswer: -103*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = -2*z**3 + z**2 - 439*z - 1749. Determine k(-4).\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1690 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 + -1 + 1 - (-27 + 24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify c\/(c\/(c*c**3)*c)*c*c\/c**(3\/5)*c*c\/(c*c**(-3\/5))*c\/(c\/((c**(-3\/2)\/c)\/c)) assuming c is positive.\nAnswer: c**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -105430241 (base 6) to base 7\nAnswer: -22362154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m = -145005\/26 - -5578. Suppose 6*x - 4583 = 7945. Let n = -25127\/12 + x. Find the common denominator of n and m.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 119\/18 and 109\/340.\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is c6aa9 - 4?\nAnswer: c6aa5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t - 4 = -2*h, -2*t - 4*h = -2 + 8. Let r(o) = -234*o**3 + 11*o**2 - 15*o - 17. Let n be r(t). Let b = n - -179845. Round b to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 56.39808 rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) be the first derivative of -23*y**3 + y**2\/2 + 1330*y - 1035. Differentiate a(v) wrt v.\nAnswer: -138*v + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/(-16)*-16 + -10 + -2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = 6*p**2 + 45*p + 45. Calculate the smallest common multiple of h(-1) and 264.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -1 - -0.6. Let a = -0.62 - 0.38. Let p = -157\/3 - -53. What is the biggest value in m, a, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -70*p = -87*p + 8 + 26. Sort p, 1, -11, -4 in descending order.\nAnswer: p, 1, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 222.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 6*f + 1 - 7 - 1 - 28 + 1 to w*f + o and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*q**3 + 0*q**3 + q**3)*(-q - 4*q + 2*q) + (0*q**2 + 3*q**2 - q**2)*(2*q + 2*q**2 - 2*q) - 3*q**4 + 6*q**4 - 2*q**4.\nAnswer: -4*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Convert -1022121221102 (base 3) to base 12.\nAnswer: -29999b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = c**4 - c**3. Let p(r) = 8*r**4 - r**2 - 5*r**3 + 0 + 0 + r**3. Let q(b) = -p(b) + 4*x(b). Find the third derivative of q(m) wrt m.\nAnswer: -96*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-125788)\/(-3198)*((-6)\/(-9))\/(8\/(-18)).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put 79, 4, -6, -4, 1 in descending order.\nAnswer: 79, 4, 1, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: (0\/(3\/1))\/((-60)\/20)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 6254763 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Put 0, 4, -3, -12, 92 in ascending order.\nAnswer: -12, -3, 0, 4, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 11*t**2 + t + t**4 - 12*t**2 - t**3 + 3*t**3 - 3*t**3 to o*t + h*t**2 + s*t**4 + j*t**3 + n and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express -44*b**2 - 50*b + 141*b**2 - 50*b**2 - 48*b**2 as q*b + o*b**2 + c and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = -x**3 - 54*x**2 + 53*x - 72. Let a be d(-55). Solve 14 = -6*w + a for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -358.0981618 to two decimal places.\nAnswer: -358.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x = 1170\/11 + -2729\/33. Calculate the common denominator of x and (-1)\/2 + 50\/(-28).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = -27*l - 269. Let g be i(-11). Let h(s) = 19 + 9 - g + s**2. Let j(b) = 41*b. What is h(j(r))?\nAnswer: 1681*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 119933 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t = -90 + 99. Let s(c) = -31*c**2 + 33*c**2 - t*c + 8 - 23. Let w be s(6). Is 0 less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -86765832*t**5 - 10691*t - 5122 wrt t?\nAnswer: -1735316640*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6\/(-4)*(-456)\/18?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) be the third derivative of 11*b**4\/24 + b**3\/6 - 27*b**2. Let s be u(1). Solve 3*x = -0*x - s, -2*o + 2*x = -4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((z\/(((z*(z\/z**8)\/z*z)\/z)\/z)*z)\/z*z)\/z)\/z*z**42*z\/(z*z*z**(-1\/27))*z*z*z**(-1\/4))**(-3\/4) assuming z is positive.\nAnswer: z**(-5485\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 2615 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand -155*g**5 + 17*g**5 + 12*g**5 + (2 - 1 - 2)*(-6 + 6 - g)*(-31*g**4 + 3*g + 3*g - 6*g).\nAnswer: -157*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is (-2)\/(-14)*-4*(-3)\/4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = 4869*r - 13981. What is h(3)?\nAnswer: 626","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express (0*q**2 - 2*q**2 + 0*q**2)*(-3 - q + 3) + (0*q + q - 4*q)*(q + q**2 - q) + 3*q**3 + 19*q**3 + 37*q**3 in the form i*q**2 + x*q + a*q**3 + z and give a.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p - 24 = -16. Let m be (-135)\/(-20) - (-6)\/p. Let y be (9\/m)\/(6\/(-732)). What is y rounded to the nearest ten?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) be the first derivative of -v**4\/4 + 5*v**3\/3 - v**2 + 5*v + 50. Determine h(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000334813 to 5 dps.\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 60*q - 12 - 107*q + 58*q to the form r + z*q and give z.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*m**4 - 2*m**4 + 3*m**4)*(4*m + 3*m - 6*m) - 1 + 2*m**5 + 1 + (m**2 + 0*m**2 + 2*m**2)*(7*m**3 - m**3 - 3*m**3).\nAnswer: 12*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4761389 is divided by 118.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Put 0, -3, 21.65, -0.5 in decreasing order.\nAnswer: 21.65, 0, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = -8*q + 10. Let h be u(-7). Suppose -2*d + h = d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = 4*n + 16 + 5 - 11*n - 11*n + 0*n. What is g(4)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = u**2 - 3*u + 3. Let o be ((-7)\/21)\/(2\/(-24)). Let n = o - 0. Calculate i(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -24a8 (base 16) to base 9.\nAnswer: -13776","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert -33204240 (base 5) to base 15.\nAnswer: -5a54a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from hhohhhohohoohohohoh.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {b: 2, r: 4}. Give prob of picking 2 b.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 356 and 381231055?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = -o + 5. Suppose 5*a = -2*l + 25, 3*a - 4 = l - 0*a. Suppose q = l*q. Suppose 0 = -q*b + 2*b. Calculate r(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 27 divided by -12?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -5 (b) 40\/9 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = r**3 + r + 3. Let f(j) = j**3 + 4*j**2 - 6*j - 5. Let n be f(-5). Let i be a(n). Suppose i*x + v = -2*x + 44, 4*v + 4 = 0. Is x a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 9c6 - -11?\nAnswer: 9d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -13460*a**2 + 67*a - 46078997?\nAnswer: -26920*a + 67","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 723751 and 5?\nAnswer: 3618755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -4 in 5, 1\/6, 0.4, 4\/79?\nAnswer: 4\/79","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = 65*n**2 + 2*n - 2. Calculate l(-2).\nAnswer: 254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -24634500 + 14?\nAnswer: -24634453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k + 33 = -21. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = w - 3. Let j be i(7). Suppose -4898 = -j*a + 1378. Suppose 4*d - 1692 = -4*m + 1444, 2*d - a = -m. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 28*c - 32*c + 13*c + (4*c - 2*c - 4*c)*(4 - 5 + 3) - 235 + 18*c + 235.\nAnswer: 23*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = p**3 - 7*p**2 + 5*p + 4. Let d be c(6). What is the remainder when 33 is divided by d\/(-9) + 480\/27?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*6*6*-3*(0 + sqrt(171))**2.\nAnswer: -36936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 312b (base 13) to base 11\nAnswer: 511a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 9\/2000 and 111\/41600.\nAnswer: 208000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) = -17914*f - 71662. What is z(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in 1\/4, 4\/9, -0.6, -4?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x + x - 165 = 0. Let t = -25 + x. What is the highest common factor of 75 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 69446, 139041, 208636, 278231, 347826, 417421?\nAnswer: 487016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = -13*k. Let w be 0*(-3)\/(-6) + -3. Let y be z(w). Calculate the greatest common factor of 26 and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/6 in -15695, 0.034, 4\/5?\nAnswer: 0.034","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let 375*k**5 - 24275*k**4 + 943520*k**3\/3 + 2483000*k**2\/3 + 611120*k\/3 + 13200 = 0. What is k?\nAnswer: -2, -2\/15, 22, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = l + 6*l - 406. Suppose -53*x = -l*x + 950. Is 12 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 6341 + 25512?\nAnswer: 34053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = -10*t**3 - 2*t**2 + 2*t - 1. Let d be w(1). What is the units digit of 3\/(3 - d\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 18060 and 8127.\nAnswer: 162540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 38244 to the power of 1\/2, to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(2 + 3 + -5*(1*sqrt(160))\/sqrt(5) + 1)**2 + -3.\nAnswer: -720*sqrt(2) + 2505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g = 89807096\/9061245 + -2\/201361. Let v = 19\/9 - g. Find the common denominator of -45 and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-6)\/8)\/((-66)\/440). Suppose -q*t - 31800000 = -6*t. Suppose f = 4*f - t. What is f rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = -v**2 + 1941*v - 34615. What is y(18)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = -65*h**3 - h**2 - 3*h - 2. Let s be l(-2). Suppose 7*a = -s + 1367. Is a a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = 31*g + 3. Let f be h(-1). Which is bigger: f or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (5\/(-5))\/(3\/((-36)\/(-4))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {v: 1, p: 1, f: 3}. What is prob of sequence pfv?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) be the third derivative of k**8\/252 + 4*k**7\/315 - 4*k**6\/15 - 32*k**5\/45 + 64*k**4\/9 - 19*k**2 - 16. Let p(u) = 0. Calculate u.\nAnswer: -4, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 250 minutes before 10:46 PM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u be 8\/36 - 74\/9. Let i be (-2 - u*1) + -1. What is the second derivative of 0*a**2 + 3*a**2 - a + 2*a - i*a**2 wrt a?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 + 5 = 4*k. Suppose -32 = -2*i - k*i. Suppose i = -4*l + 44. Solve 0 = -5*s + 6 + l for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = 937*t + 2689. Determine j(-3).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.96183 - -0.03817. Suppose 21 = -2*l - 5*q - 7, -5*q = 4*l + 36. Which is the nearest to g? (a) l (b) -7 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q - 10 = -6*q. Let u be -2 - (q\/(-1) - 5). Suppose -l - 4*n + 16 = 0, 3*n + 2 = -u*l + 31. Solve l*o - 5 - 3 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 1131.191 centimeters to nanometers.\nAnswer: 11311910000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1449 and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from wwrerebewwrrm. What is prob of picking 1 m and 1 w?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) be the third derivative of -l**6\/60 - l**4\/12 + 77*l**3\/6 + 7*l**2 - l. Differentiate p(h) with respect to h.\nAnswer: -6*h**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 463*t**6 - t**5 - 927*t**4 - 1239*t**2 + 67*t wrt t.\nAnswer: 55560*t**3 - 60*t**2 - 22248*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 27601741 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:53 AM and 2:21 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Does 15 divide 9780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) be the first derivative of 0*f + 0*f**2 - 24*f**5 + 0*f**4 + 60 + 31\/3*f**3. Find the third derivative of k(y) wrt y.\nAnswer: -2880*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11 = 2*p - 4*u - 9, -4*p + 4*u = -28. Solve -3*c = 3*k + 21, 0 = p*k + 2 + 6 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 2.3 + -2. Let l = m + -2.3. Let i be (1\/(-12))\/(3\/(-9)). Which is the third biggest value? (a) 2 (b) l (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y + 84 = y - 4*m, m = -3*y + 43. Let s = -9 - -13. Calculate the remainder when (-4)\/y - -1*(-148)\/(-16) is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 1859037998?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is -1373326628\/3 >= -457775542?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = -b**2 + b - 1. Let v(w) = -2*w**2 + w - 28. Calculate 2*v(h) - 2*z(h).\nAnswer: -2*h**2 - 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -6083, -12171, -18259?\nAnswer: -24347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = -13*g**2 - 3*g + 5. Let p(s) = -13*s**2 - 4*s + 6. What is -6*m(j) + 5*p(j)?\nAnswer: 13*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w = -50 + 52. Suppose c + 278 = 3*p, 0 = -p - w*c + 89 - 1. What are the prime factors of p?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 10 + 3 + (16 - 24)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Work out 41 + -11305.\nAnswer: -11264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide 183?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -417 (base 8) to base 13\nAnswer: -17b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 3666385 and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -2982*k = -2586*k + 3368*k + 259716 for k.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 247 + -11022600.1.\nAnswer: -11022353.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 3*y**2 - 2)*(3*y**3 + 0*y**3 - y**2 - y**3)*(-3 + 5 + 0).\nAnswer: -12*y**5 + 6*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-3)\/(-4))\/(1\/(-4)). Suppose 6*r + n + 88 = 11*r, 0 = -2*r - 3*n + 42. What is the smallest common multiple of (-22)\/(-6)*(3 - j) and r?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 163588 to the power of 1\/2, to the nearest integer?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = -q**2. Let h be z(1). Let v = 1\/2 + h. What is the second biggest value in -3, 2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine x so that -2*x**5\/9 - 4426*x**4\/3 + 39850*x**3\/9 - 4430*x**2\/3 - 39848*x\/9 + 2952 = 0.\nAnswer: -6642, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g be (240\/18)\/10*3. Suppose -g*r = -16*r + 324. Calculate the greatest common divisor of 81 and r.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = 5*y**2 + 67*y - 50. What is j(-13)?\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -1, 0.02, 0?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1625 - -1670. Let m = -4029.7141 + 3984.7141152. Let x = m + g. What is x rounded to 6 decimal places?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -4\/97 - -311\/485. Which is the nearest to 1? (a) t (b) -0.2 (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 57*b + 11 + 25*b - 73 + 66 + 52*b to s*b + m and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -32514, -64954, -97394, -129834, -162274?\nAnswer: -194714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c = -3908 + 5194. What are the prime factors of c?\nAnswer: 2, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (1 + 5*g - 1)*(-6*g + 5*g + 3*g) + 2*g**2 + 0 - 4 + 2 in the form m*g + h*g**2 + j and give h.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = -5*l**3 - 3*l**2 + 18*l + 43. Give n(-4).\nAnswer: 243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = g**2 + 4*g + 1. Let m(x) = 18*x - 101. Calculate the remainder when n(-9) is divided by m(7).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 32 - 16. Suppose -4*r - p + 28 = -4*p, -j = -5*r - p. Suppose -b + 1 = 4*w - 0, 4*w = -r. Calculate the highest common divisor of 15 and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = 859*d - 20. Let o be s(9). Suppose 6*g = 17*g - o. Suppose 6*a - g - 1177 = 0. What is the hundreds digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify s*s**43\/s*s*(s**11*s)\/s*s assuming s is positive.\nAnswer: s**56","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 443, 873, 1301, 1727, 2151, 2573, 2993?\n\"Answer: -m**2 + 433*m + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*(3*(-1*(sqrt(275) - (1 + sqrt(275))) - sqrt(275) - sqrt(275)))**2.\nAnswer: -900*sqrt(11) + 49545","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -28172*u + 71726?\nAnswer: -28172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence emm when three letters picked without replacement from mmmeem.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = -10*m**3 + 3*m + 2. Let q be w(-1). Let g = 24 - q. Does 2 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n = 1 - 10. Suppose -h + 9 = n. Suppose h = k + 2*k. What is the least common multiple of k and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 2 + -2*14\/17. Let p = v - -4\/85. Let y = -2186 - -2191. Which is the nearest to p? (a) y (b) -1 (c) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i = 3*v + 744, -7*v + 772 = 4*i - 3*v. Let -9*m**5 + 186*m**3 - i*m + 35*m**5 - 12*m**5 - 11*m**5 + 102*m**2 - 147 + 45*m**4 = 0. What is m?\nAnswer: -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ab when two letters picked without replacement from bbba.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l - 3*a = 6652 + 8967, 4*a - 3133 = -l. Calculate the remainder when l is divided by 59.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 3536 and 325?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f = -258 + 262. Let v = 2.1 - 2. Put f, 3, v, -0.4 in increasing order.\nAnswer: -0.4, v, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 20\/(-15)*15 - 2. Let l = m - -11. Put -1\/5, 2\/3, l in descending order.\nAnswer: 2\/3, -1\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 108229?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1343 + 1937. What are the prime factors of q?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = 4*a**2 + 5*a - 5. Let m be j(1). Suppose -u - m*c = -1307, -5*u = -11*c + 14*c - 6586. Let s = u - -528. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -60*o = -42*o + 1008. Let w(z) = 22*z - 3. Let c be w(5). Let s = c + o. List the prime factors of s.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: (1\/(-9))\/(1\/(-2))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = -3 - 164*w**2 - 25*w - 43 + 163*w**2. Let c be f(-23). Suppose c = 10*z + 4*z - 17*z. Solve z*p + 4*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2*1\/(-6))\/((-41)\/246).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 102944, 403050, 903220, 1603448, 2503728, 3604054?\n\"Answer: -t**3 + 100038*t**2 - t + 2908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 o, 1 u, and 1 a when three letters picked without replacement from ouofaoaoooaooouoaaou?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -3877241 or -2?\nAnswer: -3877241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 4224 and 78208?\nAnswer: 2580864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p be 3 - (-1 + (0 - -1)). Let r be 78\/21 + (p - 19\/7). Solve -r*q - 12 + 32 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of 114 and -15.3.\nAnswer: 98.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t*(t*t\/(((t**(-8\/7)*t*t)\/t)\/t)*t*t)\/t*t**(2\/89))**(-26) assuming t is positive.\nAnswer: t**(-83668\/623)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 119*t - 44*t - 36258 - 15117 = 0. Calculate the remainder when t is divided by 46.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 4580, 9163, 13746?\n\"Answer: 4583*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 10827944 to the power of 1\/2, to the nearest integer?\nAnswer: 3291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 877601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = -q + 14. Let x(b) = -1. Let l(g) = p(g) + 5*x(g). Let f be l(5). Suppose y = 4*r + 14, y - f*r + r = 12. Solve y - 26 = 4*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -32660, -65279, -97908, -130553, -163220, -195915, -228644, -261413?\nAnswer: -294228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -3 + 141?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6 - 3 + 4)*(-2*m + m + 4*m)*(1 + 3 - 6).\nAnswer: 30*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k + 0*k + 40 = 0. Let y = 10 - 5. What is the greatest common factor of k and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be -1*-1726*(-8)\/((-32)\/6). Let j = x + -646. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = -v**3 + v**2 - 6*v + 65. Let d be t(8). Is d >= -432?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = g**2 + 36*g + 2. Let z(c) = 3*c**2 + 144*c + 9. Suppose -34 + 7 = 3*a. Let m(q) = a*j(q) + 2*z(q). Factor m(f).\nAnswer: -3*f*(f + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-9)\/6*24\/(-18). Suppose v*o = -4*d - 18, -d - 5 = 5*o + d. What is the units digit of o\/(-4) - 226\/(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 22 + 1269 + -1207 + 31 + -2.\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in one quarter of a hour?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w = 9 + -5. Let b be -1*((-60)\/84 + 2)*14\/(-6). Solve v = f + b, w*f = -f + 5 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = 7*b - 1. Let i be o(2). Let x = 20 - i. Let g(h) = -h + 13. Let q be g(x). Calculate the highest common factor of q and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o - 4*o + 4*l - 54 = 0, -l = -o + 24. What is the greatest common factor of 5430 and o?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 732785929.\nAnswer: 732785929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w = -1380 - -2425. What are the prime factors of w?\nAnswer: 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r**(-3))**(2\/17)\/((r*r**16)\/r*r**(-8)) assuming r is positive.\nAnswer: r**(-142\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -175, -352, -529?\nAnswer: -706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from hhshhhhhhzzhshshh. Give prob of sequence zzhh.\nAnswer: 11\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 0 + -2 + (-1 - 0) + 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = 2*w**2 - 3*w - 3. What is the smallest common multiple of y(3) and (-880)\/(-50) - 4\/(-10)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d + 3*k + 639 - 8563 = 0, 5*d + 4*k - 9907 = 0. Calculate the greatest common factor of d and 100.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.1 - -0.2. Let f = 0 - -0.1. What is the closest to -1 in r, 0, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0.04 + -0.34. Let s = 0.5 + u. Let y = -2.1 + 1.7. Sort s, y, 0.1 in ascending order.\nAnswer: y, 0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -3748371 + 1?\nAnswer: -3748370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + sqrt(605)*1 + (sqrt(605) - (sqrt(605) + 0))*3)**2*5.\nAnswer: 3025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or -367\/1305?\nAnswer: -367\/1305","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = 10*c**2 - 15*c + 159. What is the hundreds digit of h(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1337782 or 14715588\/11?\nAnswer: 14715588\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*r - 4*a - 9, -1 = 5*r + 3*a + 3. Calculate the smallest common multiple of (10 - 1) + 4 + -3 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*(sqrt(132)*2 + sqrt(132)) - sqrt(132)*-2*-1)\/(sqrt(588) - (-1*sqrt(588) + sqrt(588) + sqrt(588) - sqrt(588))*5).\nAnswer: 16*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h be (24\/30)\/(1 + 1). Let q be (-12)\/(-9)*6\/(-4). What is the nearest to h in 1, -3, q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 18 divide 2406888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16*z + 12218 - 554 = 0. Suppose -3*w - 306 = -t, 0 = -4*t - w + 482 + z. List the prime factors of t.\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 196 - 194. Let n(p) = -9*p - 1. Determine n(j).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -520 = -j + 379. Calculate the greatest common factor of j and 87.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 0.3, 13, 0.36?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -98*q + 18 = -101*q. Let p(i) = -i + 5*i - 3*i + 0*i + 11. Let y be p(q). Solve -3*b = -y*h + 22, -2*b - 4 = -b for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1225*l**4 + 560*l**3 - 1210*l**2 - 560*l - 15 = 0.\nAnswer: -1, -3\/7, -1\/35, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((k*k**(5\/4))\/k*k)\/(k**(4\/7)*k))\/(k*k\/k**(3\/8)*k\/(k\/((k*k**0)\/k))) assuming k is positive.\nAnswer: k**(-53\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {e: 1, t: 19}. Give prob of sequence tet.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 2, 13413 in decreasing order.\nAnswer: 13413, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c = 2*c + 6. Suppose -6*x = -2*x - 24. Suppose -n = -x*n - 10. Put -0.5, n, c in ascending order.\nAnswer: n, c, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find g, given that 0 - 1\/7*g**2 - 1\/7*g**4 - 4\/7*g**3 + 6\/7*g = 0.\nAnswer: -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10*z + 8*z + 11*z - 43*z + 15*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 55 a factor of 2255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Divide 10 by -655.\nAnswer: -2\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 877040 and 304.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Work out -9298239 + 11413387.\nAnswer: 2115148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5415*-0.07585.\nAnswer: -410.72775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 491*u - 490*u = 397. Suppose 402*t = u*t + 335. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**(-3)\/s*s)**(-3)*s\/s**13*s**(3\/14) assuming s is positive.\nAnswer: s**(-39\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = -g**2. Let j(s) = 13*s - 13*s - 3*s**2. Give b(j(t)).\nAnswer: -9*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 504 and 8664?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 870*c**6 + 650*c**2 - 84 + 84 - 64*c**2 - 2*c wrt c.\nAnswer: 104400*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*(sqrt(405) + 4 + (sqrt(405)*3 - sqrt(405))) + 0 + 5*(-2 + sqrt(405)))**2*-4.\nAnswer: -648400 - 14400*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 902163718?\nAnswer: 2, 17, 26534227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) -4 (b) 7\/5 (c) 5 (d) 3.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:41 AM and 5:10 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000333407648 to seven decimal places.\nAnswer: 0.0003334","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-6)\/15*(-12 - 13). Suppose 0 = -d*r + 2884 - 354. What are the prime factors of r?\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 705139 is divided by 235043?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*sqrt(21)*1 - (1*sqrt(756) - sqrt(756) - sqrt(21)))\/(sqrt(108) - (sqrt(108) - (sqrt(108) + (sqrt(108) - -1*sqrt(108))))*6).\nAnswer: -sqrt(7)\/78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Work out -129 * 0.12515757.\nAnswer: -16.14532653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -54*l = -158939 + 41273. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -37\/27 and 71\/961140.\nAnswer: 8650260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -3? (a) 15 (b) -4 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 + 7 = 3*g + 3*r, 2*r = -5*g + 16. Let c(y) = 12*y**g - 16 - 11*y**2 + 3*y + 0*y + y. What are the prime factors of c(12)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 335152079.\nAnswer: 335152079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = -414*b - 2. Let p(c) = -4*c. What is p(g(a))?\nAnswer: 1656*a + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) be the second derivative of 0*r**2 - 2*r + 1\/6*r**3 + 0 + 0*r**4 + 3\/2*r**5. Is i(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1248195 = -24*j + 322965. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 10316 divided by 848.\nAnswer: 2579\/212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {h: 15, d: 5}. What is prob of sequence hhdh?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = 1. Let b(g) = -2*g**2 - g - 4. Let m(q) = -b(q) - 2*c(q). Let w be m(0). Solve -r = -3*f - 6, w*r - 21 = 4*r + 5*f for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f + 580 = -4*a + 7*a, 3*a - 548 = 4*f. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be -7*22\/77 - -57. Suppose 5*u - 7 = 2*y + 19, -y = u - 8. Let o = u + 5. Calculate the greatest common divisor of o and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = -n**2 - 13*n + 114. Calculate g(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*c - 3 = 10*c. Sort -0.2, 5, c in ascending order.\nAnswer: c, -0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*c - 3*c - c)*(-c**2 - 4*c**2 + 3*c**2) + (-5*c + c + 2*c)*(-1394*c**2 + 2187*c**2 + 1535*c**2).\nAnswer: -4658*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-32)\/(-48)*(-54)\/(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in 6150, 12293, 18436, 24579?\nAnswer: 30722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1 + 1. Let b = -0.24 - 0.06. Let q be -15 + 11 - (-26)\/6. What is the closest to q in b, h, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*(sqrt(11) + (sqrt(132)*-1)\/sqrt(12))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 32\/349 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*x - 6*x = 8. Suppose q + x*q = 675. Suppose -d + 85 = -5*p, -2*d + p = -2*p - q. What are the prime factors of d?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = 18*b**2 + 3. Let s(i) = i**2. Let j(p) = l(p) - 6*s(p). Find the first derivative of j(z) wrt z.\nAnswer: 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Add -25519405.26979 and 53.\nAnswer: -25519352.26979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -6894.6 * 2\nAnswer: -13789.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = 11*h. Let y(a) = 55*a. Give 11*x(b) - 2*y(b).\nAnswer: 11*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b be (0\/(-1))\/(16\/8). Suppose w - 6 = -w. Suppose b*n = -w*n + 30. Solve -4*h + 9 + 7 = -4*s, 3*s + n = 5*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) be the third derivative of -t**6\/120 - t**5\/15 + t**4\/6 - 7*t**3\/6 + 2*t**2. Let r(i) = 5*i**3 - i**2 + 3*i + 4. Let g be r(-1). Determine c(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (30*c**3 - 33*c**3 - c**5 - 2*c**5)*(-1 - 2 + 1).\nAnswer: 6*c**5 + 6*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -3 (b) -666 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 6 or 28\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*h = 82*n + 410, -90*h + 20 = 90*h - 276*h + 91*h - 4*n for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Does 40 divide 5951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z = 8394 + -4131. What are the prime factors of z?\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 85, 199, 355, 571, 865, 1255, 1759?\n\"Answer: 3*f**3 + 3*f**2 + 84*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = -d**2 + 7*d - 7. Let o be s(5). Suppose 2*w + 3*n = 23 - 10, -4*w = -3*n - 17. Is w at least as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 13\/51 and -19\/2004?\nAnswer: 34068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = -3*i**2 + 15*i + 1088. Give u(-42).\nAnswer: -4834","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -73\/632 and 41\/2128.\nAnswer: 168112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Round 17518.686656 to the nearest 100.\nAnswer: 17500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = 13*c - 2. Let f be l(4). Suppose -7*h + 2*h + f = 0. Suppose -p - 20 = -3*p. Calculate the lowest common multiple of h and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1245 and 249.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express 44044 - v**2 + 65*v - 44044 as r + g*v**2 + s*v and give s.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -7830, -7840, -7860, -7896, -7954, -8040?\nAnswer: -8160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b = 0.03 + 3.97. Let t = 0 + b. Sort 1, t, 0.5.\nAnswer: 0.5, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -457, -458, -459, -460?\nAnswer: -461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y = 837 - 477. Is 36 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from opxpxcoxxoppxxpx. Give prob of picking 1 c and 1 x.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1001527010?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -176574*o**4 - 284*o**3 - 328507300*o?\nAnswer: -2118888*o**2 - 1704*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = b**3 + 3*b**2 + 2*b + 2. Let c = 5 - 2. Let y = c - 5. List the prime factors of h(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-244 - -255) + (-28)\/3.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = -308*m**2 + 82*m - 83. What is c(1)?\nAnswer: -309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4166*o - 800 = 4150*o. Put 3, 5, 1, o, -3 in descending order.\nAnswer: o, 5, 3, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 13882 + -83291\/6. Let a(i) be the second derivative of 0*i**3 - 9\/5*i**5 + 0*i**2 - l*i**4 - 19*i + 0. What is the third derivative of a(k) wrt k?\nAnswer: -216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v**3\/17 - 200*v**2\/17 + 13984*v\/17 + 1421952\/17 = 0. What is v?\nAnswer: -92, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 18925437?\nAnswer: 3, 17, 371087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22*o + 15 = -36*o + 127. Let h(v) = 3*v + 2. Determine h(o).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:57 PM and 8:55 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 22*s**2 + 3650133*s - 3650133*s.\nAnswer: 22*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 33 and 39?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 20, 31, 40, 47, 52, 55?\n\"Answer: -z**2 + 14*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x*x**19*x)\/(x\/x**(-4\/23))*(x\/x**(1\/11))**(1\/3))**(-15\/2) assuming x is positive.\nAnswer: x**(-38195\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*z - z = 3. Suppose -5*i = -r - 4 + 9, i + 1 = 4*r. Let p(d) = -d**3 + 13*d**2 + 11*d + 42. Let y be p(14). Put y, z, i in decreasing order.\nAnswer: y, i, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2 times -3.8?\nAnswer: 7.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -2662*t - 2*u + 20 = -2665*t, 100 = -17*t - 2*u for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} {"text":"Question: Solve -5*o - 15 = -5*z, -2*o - 1 - 19 = 5*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = s + 14. Let y be d(-12). Let x be 28 + -1 + 0 + -1. Solve 3*l + x = -5*u, -5*l + y = -2*u - u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -4 + 4 + 0 - 3*t**2 - 7*t**3 wrt t.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*o**2 - 13644*o + 302104.\nAnswer: -4*(o - 22)*(o + 3433)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*x = -6*x - 4*d + 1333427, d = 3*x + 1333430. Let u = -828477 - x. What is u rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (31\/(-2))\/((-5)\/(-4)). Let r = -64\/5 - p. What is the third biggest value in r, 0.4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*t - o = 8, -5*o + 2 = -7*t + 3*t. Suppose 3*v - t = -11, -3*w + 15 = -v. Calculate the smallest common multiple of 17 and w.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 10490 to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -83372 in 3, -74, 6\/11?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -6.087 or 0.456?\nAnswer: -6.087","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-34)\/(-7191)*94)\/(39\/9).\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) be the third derivative of 0 - 2*d**2 + 0*d - 2\/9*d**3 - 1\/18*d**4 - 1\/180*d**5. Factor q(c).\nAnswer: -(c + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -145.1 + 124. Let i = l + 21. Which is the second smallest value? (a) i (b) -2\/5 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) be the third derivative of -i**5\/60 - 11*i**4\/24 - 2*i**3 - i**2. Let r be j(-10). Let a = -4 + 3. What is the nearest to a in 0.3, -4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (198\/4)\/((-48)\/(-64)). Suppose 3*b = -4*d + 156, -f = -2*b + d + 27. Is b a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12502 = 15*b - 29*b. List the prime factors of b.\nAnswer: 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -469*g + 470*g = -2*i + 36, -i + 18 = g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r = -0.1300029 + 0.13. Round r to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify l*l\/(l*l**(-9)\/l*l*l)*l**18*l\/(l**(-2\/15)*l)*(l\/(l\/(l*l*l**4)))\/l assuming l is positive.\nAnswer: l**(482\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -6 or -2482?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put -16, -279, 0 in increasing order.\nAnswer: -279, -16, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 252\/5985*-38*10*1?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 446 minutes before 6:08 PM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n = 6771 + -880. What are the prime factors of n?\nAnswer: 43, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -1.3 and -2663?\nAnswer: 3461.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose c + 4*r - 15 = -0*r, -4*c - 2*r = -4. Let g(z) = 2*z**3 + z**2. Let t be g(c). Which is smaller: 1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -5, -9\/221, 1\/7, -3 in descending order.\nAnswer: 1\/7, 0, -9\/221, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1841 + 4573. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*t - 7*t = 4*i - 10, 0 = -4*t - 4 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from qxqxqq. Give prob of sequence xxq.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate -14 + 13 + -4 + 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = n + 18. Let d(r) = -r**2 + 3*r - 2. Let a be d(2). Let g be b(a). Calculate the remainder when 14 is divided by 18\/45 + g\/5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence th when two letters picked without replacement from {t: 2, k: 2, m: 11, h: 5}?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 25325?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 14699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 1516529 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -5 (base 12) to base 13\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*f - 339621*k = -339626*k - 14, -5*f - 2*k + 6 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 7962, 16398, 25310, 34698, 44562?\n\"Answer: 238*s**2 + 7722*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8 - a**3 - 14 + 22.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express -6*p - p + 0*p + (6302 + 104*p - 6302)*(-4 + 5 + 1) in the form h*p + n and give h.\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = -1231*v**3 - v**2 - 17*v + 24. Let r(z) = -2*z**3 + 4*z**2 - z + 2. Let i(w) = -k(w) + 12*r(w). Find the third derivative of i(s) wrt s.\nAnswer: 7242","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 2 times -53\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = b**2. Let d(l) = 20855 - 20855 + 234*l**2. Give p(d(z)).\nAnswer: 54756*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 903775?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort -25, -2, 5, -58, 8, 3.\nAnswer: -58, -25, -2, 3, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 3 and 8969?\nAnswer: 26907","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is -2 smaller than 46886?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sum 19452.183 and -7.\nAnswer: 19445.183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 3102 and 2211.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/5? (a) -3466 (b) -2\/3 (c) -0.044997\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Multiply 1 and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -3\/1378 (b) -0.5 (c) 1\/9 (d) -2\/727\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 7599663397 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence eh when two letters picked without replacement from {c: 6, e: 4, h: 4}?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) -12 (b) -161 (c) 3 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -97\/28 and 17\/7916.\nAnswer: 55412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h be (8\/(-6))\/((-6)\/(-18)). What is the tens digit of (-51)\/(-2)*h\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1427856 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is (-16)\/56 - (-6878)\/14 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -0.15 + -10.85. Let b = -160855.23 - -160866.230047. Let k = a + b. Round k to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 35950914 times -0.4?\nAnswer: -14380365.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -73\/2150 and 3\/4300.\nAnswer: 4300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = -7 + 7 - 10*y. Let q(r) be the first derivative of -r**5\/60 - 5*r**3 - 11. Let v(i) be the third derivative of q(i). Determine v(c(n)).\nAnswer: 20*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Put -91, 0, -2 in ascending order.\nAnswer: -91, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l = -2 - -6. Let f(c) = -c**3 + 25*c**2 - 25*c + 27. Let h be f(24). Put h, 1, l in ascending order.\nAnswer: 1, h, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -5, 0, -2, 23, -4?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = 2*i**3 - 60 + 34 + 30 - 8*i**2. Let k be c(4). Solve 2*z + 4*s = 20, 2*z + 2*s - k = 10 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3 + 1 - 1)*(-2 - 4 + 4)*(10 + 3 - 5)*(2*b + 3*b - 7*b) to p + g*b and give g.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Work out 1.7 * 0.1839836.\nAnswer: 0.31277212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 131*s*x**2 - 9444*s*x + 3964719*s wrt x.\nAnswer: 262*s*x - 9444*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -0.01, -16, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - 4 + 2)*(s - s - 4*s) + (-s + 4*s - 4*s)*(986 - 521 + 1160).\nAnswer: -1613*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -5 + 30 = 5*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 5 + ((-22)\/(-11) - 5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.4 + 0.8. Which is the nearest to 1\/4? (a) z (b) 5 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 f and 2 h when three letters picked without replacement from {h: 8, f: 5}.\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -3\/8 and 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Product of -19 and -0.131.\nAnswer: 2.489","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m*m**(1\/2)*m)\/m)**(-18)\/((m**(-1\/4)\/m)\/m**(3\/4)) assuming m is positive.\nAnswer: m**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: (3\/(-12))\/((-21)\/140*5\/(-6))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Subtract 0.1566 from -1727160447.8.\nAnswer: -1727160447.9566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(50) - (sqrt(100) + sqrt(100)*2)\/sqrt(2) - (sqrt(50) + 2*sqrt(6050) + sqrt(6050))) + -5 + (sqrt(5000)*-2 + sqrt(5000) - sqrt(5000)))**2.\nAnswer: 2800*sqrt(2) + 156825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: (1*(-6)\/(-4))\/((-195)\/20)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = -n**3 + 2*n**2 + 3*n - 474. Let g(o) = -2*o**3 + 6*o**2 + 5*o - 947. Let j(y) = 2*g(y) - 5*v(y). List the prime factors of j(0).\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 36*d - 15254 = 65*d. Do -528 and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (8*u - 30*u - 1 + 6 - 22 + 85)*(-2 + 0 - 2) as v*u + n and give v.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -3 + (6 - (-3 - -6)) + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -1092*t**5 - t**2 - 195*t?\nAnswer: -65520*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 774.4531 nanoseconds in milliseconds?\nAnswer: 0.0007744531","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = -6*q**3 + q**2 + q + 1. Let f be s(-1). Solve 2*j - h = -6, -f = -4*j - 3*h - 29 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5303677 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 1036 - -21?\nAnswer: 1057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) -0.6 (b) 0 (c) -2028\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l - 81 = 5*x, 4*l - 57 = -2*x + 51. Let t = -18 + l. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -2109 - -1182. Is w at most as big as -927?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 3 + -6 + (3 + 0 - -1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 599553 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*c - c. Suppose 16 = 2*s - c. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1339238 is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 102 = 4*p + u, 3*p = 4*p - 5*u - 15. Let s = 25 + p. Let j(r) = 3*r - 14. Calculate the smallest common multiple of j(12) and s.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*g + 11*g = -2*m - 147, 2*g - 4*m + 326 = 0. Round g to the nearest 10.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 4\/3 or 0.97?\nAnswer: 0.97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from nxbmmlw. What is prob of picking 1 m and 1 n?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -70036 = -4*k + 3*b, -k = 2*k + b - 52514. Let i = -67999\/4 + k. Let h = 6293\/12 - i. Calculate the common denominator of -1\/4 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 11 divide 282253105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round 84.9 to the nearest integer.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s = 6\/35 + 1\/35. Let u = 422 + -422. Suppose 2 = f + 4. What is the nearest to f in s, 3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 84037849 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let 10285*p**4\/3 + 462835*p**3\/3 + 2314275*p**2 + 11572875*p + 11250 = 0. Calculate p.\nAnswer: -15, -2\/2057","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 410406239 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-6)\/(-33) + 62\/22. Solve -q*y = -0*y + 6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*t - 6 = c + 2, 0 = 2*t - 4*c - 14 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 111 and 195101?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b be 47 - (-2 + 3\/3). Suppose -4*n + 4*i = -248 + b, 0 = -5*n + i + 230. What is the remainder when n is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1\/126 + 257\/630. Which is the third biggest value? (a) -1\/3 (b) 3 (c) -1\/8 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -123238 divided by -2.\nAnswer: 61619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -12922 times -0.5\nAnswer: 6461","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 655079?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -67672 - 3840?\nAnswer: -71512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 26485107763 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 42*h**3*q - h**3 + 315*h*q - 173401*q with respect to h.\nAnswer: 126*h**2*q - 3*h**2 + 315*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 53027 less than 84?\nAnswer: -52943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*y**5 + y**5 - y**5 + (18*y**3 - 112*y**2 + 112*y**2)*(-1021 - 111*y**2 + 1021) - 2*y**5 + 5*y**5 - 5*y**5.\nAnswer: -1998*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = q**2. Let a(r) = 7*r**2 + 6*r + 9. Let u(f) = -5*a(f) + 30*k(f). Solve u(s) = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -6 (base 10) in base 9?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 26323?\nAnswer: 11, 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.07 in 0, 1\/9, -4\/7, -217002?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is f in 3220\/3*f + 1\/3*f**5 - 3496\/3*f**2 + 1621\/3*f**3 - 274\/3*f**4 - 1072\/3 = 0?\nAnswer: 1, 2, 268","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4005995 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many kilometers are there in 7.631081 centimeters?\nAnswer: 0.00007631081","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.4 and -61?\nAnswer: 24.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6 + 3 + 100719*s**2 - 3 - 100727*s**2 - 8.\nAnswer: -8*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 22587 divided by -1?\nAnswer: -22587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (10\/3)\/(42\/(4788\/(-1045)))?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {d: 2, v: 2, f: 4, o: 2}. What is prob of picking 2 d and 1 o?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/10 - 27714\/(-2235)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Put together -2218 and 15512747.\nAnswer: 15510529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7782 is divided by 415.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Put -2, -0.13, 0.0104984 in descending order.\nAnswer: 0.0104984, -0.13, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g + 3*g + 8 = 0. Let q = -1 + -1. Let h = q - g. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0, -1334, 2, 2\/11, -2\/11 in ascending order.\nAnswer: -1334, -2\/11, 0, 2\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 151279 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1260 - -1266. Calculate the remainder when 10 is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 3, 0.05, 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 17\/6 of a century?\nAnswer: 3400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q = -9\/49 - 5\/49. Let i(t) = t + 7. Let n be (-2)\/(-11) - 79\/11. Let r be i(n). What is the third smallest value in q, r, -1\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = 2*a - v, 25 = a - 5*v + 9. Let g be a + -4 - (14\/(-4) - 1). What is the nearest to 2\/7 in -2\/5, g, -2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w\/w**(8\/7))**(-1\/20) assuming w is positive.\nAnswer: w**(1\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find x such that -2*x**5\/5 + 16892*x**4\/5 - 1492884*x**3\/5 + 44665288*x**2\/5 - 464883514*x\/5 + 84338844 = 0.\nAnswer: 1, 29, 30, 8357","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -1.88 take away -1.6?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d = 40 - -83.7. Let q = d + -124. What is the third smallest value in 4\/33, 3\/7, q?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.065708122 rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 18338?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 0.01711 rounded to 4 decimal places?\nAnswer: 0.0171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from yffyy. What is prob of picking 1 f and 1 y?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -6, 14, 66, 162, 314, 534, 834, 1226?\nAnswer: 1722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let -x**3\/4 + 456997*x**2 - 835350299181*x\/4 - 15872975519211\/2 = 0. What is x?\nAnswer: -38, 914013","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 5ed (base 15) in base 2?\nAnswer: 10101000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 239844*j**3 + 239886*j**3 + 239887*j**3 - 719593*j**3.\nAnswer: 24*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*b**2 + 2*b**2 + 2*b**2 - 135*b**2 + 49*b**2 + 32*b**2 + b**2 + b - b - 3*b**2 + 6*b**2 - 4*b**2 + (-2 + b**2 + 2)*(-3 + 2 - 1).\nAnswer: -54*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (q**5 - 4 + 4)*(3 + 0 - 1)*(2 - 3 - 3)*(2 - 4 + 3).\nAnswer: -8*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 v when four letters picked without replacement from {m: 1, v: 11}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f be (10\/(-15))\/(4\/(-510)). Let y = f + -81. Suppose 4*t = -y, 5*k - 2*t + 4*t - 693 = 0. What is k rounded to the nearest 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 159 + 4615 = 62*d. Put -4, d, -3 in descending order.\nAnswer: d, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0, 3, 5, 8157, -11 in descending order.\nAnswer: 8157, 5, 3, 0, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 407757 to the nearest integer?\nAnswer: 639","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.2884 + -0.0116. Sort 0.4, 0.3, -1, g in decreasing order.\nAnswer: 0.4, 0.3, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -2.3 - -0.5. Let s = p + 1.8. Put -0.2, s, 0.13 in ascending order.\nAnswer: -0.2, s, 0.13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.03 - 0.23. Let h = -29 - -28. Which is the closest to h? (a) 1\/4 (b) r (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 14812 + -8213. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -296 = 3*u - 2*o, -3*u - 4*o = 145 + 127. List the prime factors of -3 - 2\/3*u.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-130)\/104*12\/(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -268*w + 64*w + 5418 = 97*w for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q = -2 - -4. Let c be (q - (-3 + 5))\/1. Suppose -5*j - 23 = -3. Sort 0.4, j, c.\nAnswer: j, c, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -101734, -203457, -305180?\n\"Answer: -101723*d - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u = 5984 + -5966. Put 0.6, u, 0.4, -1 in increasing order.\nAnswer: -1, 0.4, 0.6, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d = 6*d - 35. Suppose -4*s = -b + 12, 21 - 3 = d*b + s. Solve c - 2 = -b for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 59882303 - 1?\nAnswer: 59882302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m be 9012\/30 - (-2 - (-36)\/15). Suppose 4*j + m = 7*j. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -1b11c - -1?\nAnswer: -1b11b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m be -58*((-2)\/(-4) - 3). Let u = -90 - -3. Let i = 145 + u. Calculate the greatest common factor of i and m.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1353*c**2 - 1362*c**2 - 1305*c**2 + 5170*c**2 - 3 - 1434*c**2 + 2*c.\nAnswer: -284*c**2 + 2*c - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = 2*l - 2*d, 4*l - 9 = -0*l - d. Suppose 0 = 4*t - 0 - 8. Let k(u) = -l*u + 4*u**t + 0*u - 2*u. Let i(j) = 2*j**2 - 2*j. Give 5*i(o) - 2*k(o).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m be (36\/15)\/(32\/(-96) - 2\/30). What is the nearest to m in 0.356, -0.4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 2, 3, 1, 8, -5, -2195 in descending order.\nAnswer: 8, 3, 2, 1, -1, -5, -2195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2 in 0.1, -1, -0.13, 0.83?\nAnswer: 0.83","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/3 in -17, -57, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Determine w, given that -4*w**3 - 195308*w**2 - 2389243164*w - 126081863028 = 0.\nAnswer: -24387, -53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {h: 5, v: 2, k: 13}. Give prob of picking 2 h, 1 v, and 1 k.\nAnswer: 52\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*a - 8 = 2*m, -2*a - 5*a - 18 = 5*m for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = 10*y. Let v(w) = -9*w**2 + 6*w**2 + 18*w**2 - w**2. Give i(v(j)).\nAnswer: 140*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1195 - 2389\/2. Does g = 3\/67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*c = 3*q - 38, 72 = -4*c + 184*q - 180*q for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y - 4 + 84 = 0. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-3*(-18)\/15)\/(2\/215). Let n = 394 - z. Solve -n*i + 5 = -23 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = f - 5. Let a be t(7). Let v = a + 2. Suppose -v*u + 5*w - 2 = -u, -2*u + 3*w = 0. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = 57*n**2 - 22*n - 22. Let p(r) = 31*r**2 - 12*r - 12. Let m(s) = 6*j(s) - 11*p(s). Let u(x) = 172*x - 3. Calculate m(u(a)).\nAnswer: 29584*a**2 - 1032*a + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in two fifteenths of a millennium?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = 7*d**3 - 46*d**2 - 179*d + 1309. Calculate m(7).\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = 1195*p + 1 - 1 - 1196*p. Let f(o) = o. Let w(r) = 4*f(r) - l(r). Let n(c) = c**2. Determine n(w(k)).\nAnswer: 25*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.4 * 0.032.\nAnswer: 0.0128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*j**4 + 129*j**3 - 1659*j**2 - 3693*j - 1908 = 0. Calculate j.\nAnswer: -53, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 481 = r + 3*l, -1443 = 5*r - 8*r - l. What are the prime factors of r?\nAnswer: 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -6? (a) -1.09 (b) -1 (c) 22751\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from oououojouoojou. Give prob of sequence oo.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is (99\/30)\/((-2744)\/27440)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((b*b*b**(-31)\/b*b)\/b)\/b**(-12\/11))\/(((b\/b**(1\/3)*b)\/b)\/b*b\/(b\/((b*b**(-15))\/b))) assuming b is positive.\nAnswer: b**(-448\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(170) - sqrt(170)*-1*2)\/sqrt(10) - (-2*sqrt(425))**2*1.\nAnswer: -1700 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-9176)\/(-518) - (7 - -15)?\nAnswer: -30\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -39 (b) -1.478 (c) 4 (d) 1\/9 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 118182 is divided by 33?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is ad (base 15) in base 14?\nAnswer: b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = -380*l + 74*l + 2251 + 308*l. Let i(h) = 2*h**2. Calculate i(j(u)).\nAnswer: 8*u**2 + 18008*u + 10134002","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.3 + 12715.\nAnswer: 12714.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f = 14394 + -31344. What is f rounded to the nearest one thousand?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 507 minutes after 11:04 AM?\nAnswer: 7:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19*z - 26*z + 154 = 0. Solve -4*p - z = 5*f, -2*p + 7*p - 4*f + 7 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000155593 to 5 dps.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 407850629?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1129 or -889?\nAnswer: -889","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c = 10 + 8. What is the remainder when 33 is divided by c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = k + 5. Let r be q(0). Suppose -3*w - w = -5*p + 3, r*w = -3*p + 24. What is the greatest common divisor of p and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 340 - 199. List the prime factors of r.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -7*1776624\nAnswer: -12436368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-122)\/70 + (-296)\/(-185) - 32\/(-28)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: (-17)\/(-408)*6*10\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.949 + -0.985. Round h to 3 dps.\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 3, -1344, 2, 0, -1 in decreasing order.\nAnswer: 4, 3, 2, 0, -1, -1344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2960*v**3 + 11*v**2 + 22*v?\nAnswer: 17760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 88 minutes before 6:12 AM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (k + 2*k - 2*k)*(-6*k**2 + 18*k + 3*k**2 - 20*k) + 4*k**2 - 4*k**2 + k**3.\nAnswer: -2*k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in i - 2830657 - 2829759 + 5660416.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 8.116 - 4334882?\nAnswer: -4334873.884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 111 - -30633350?\nAnswer: 30633461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 584 = 10*n + 104. Let g = n + 29. What is the highest common divisor of g and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = -13*g - 4. Let r(v) = 39*v + 13. Let a(c) = 13*o(c) + 4*r(c). What is the units digit of a(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3325776?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3)\/(-4)*(2235\/90*-2 - -15).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 0*((-117)\/(-27))\/13. Which is the second smallest value? (a) f (b) 2 (c) 24 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 70640.43 hours in nanoseconds?\nAnswer: 254305548000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) be the second derivative of -r**4\/12 - r**3\/2 + 3*r**2\/2 - 8*r. Let w be v(0). Calculate the greatest common divisor of 27 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (16\/(-10))\/2*-10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find d such that -d**3 + 12094*d**2 - 24185*d + 12092 = 0.\nAnswer: 1, 12092","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*v = -11*v + 85 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n = 7*i - 3*i - 4, 0 = 3*n. Suppose 1 + i = -2*m. Let j be m\/(-3) + 1\/(-3). Solve 5*o + j*o = -15 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2724156 divided by -9.\nAnswer: 302684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 8 and 5209560?\nAnswer: 5209560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -0.16 times 769?\nAnswer: -123.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = f**2 - 3*f - 2. Calculate b(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 802 a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*l**5 - 18*l**4 - 52*l**3 - 36*l**2 + 54*l + 54.\nAnswer: -2*(l - 1)*(l + 1)*(l + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 10 divided by -10268?\nAnswer: -5\/5134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.12 - -0.22. Let q = -0.3 + p. Let d = 0.1018 - -0.3982. Which is the closest to -1? (a) d (b) q (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or -2\/20135489?\nAnswer: -2\/20135489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express -392*k + 1446*k - 7800*k - 1693*k in the form j*k + i and give j.\nAnswer: -8439","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {q: 9, j: 4, w: 4}.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.06262 - -0.56262. Sort 0.2, -78, n in descending order.\nAnswer: n, 0.2, -78","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) be the second derivative of -l**3\/6 + 2*l**2 - l. Let u be w(5). Let z = 313.6 + -314. Which is the nearest to u? (a) -2 (b) 5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 6\/(-14) - (11 + 320\/(-28)). Solve 0 = 2*j - s*j + 6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -34*m = 300 - 28 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Does 10 divide 608280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 2111338 divided by 2383?\nAnswer: 886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 35547931, 71095822, 106643703, 142191568, 177739411, 213287226, 248835007?\n\"Answer: -u**3 + u**2 + 35547895*u + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 471*r*s**2 - r*s*u - 2*s**2*u - 2*s - 2*u wrt s.\nAnswer: 942*r - 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c = 4 + -6. Let l be -1 - 0 - 2\/2. Let j be (-10)\/c - (-2)\/l. Solve -9 + j = r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l*l\/l**(-2\/17)*l*l\/(l\/(l*l*(l**(-3)*l)\/l*l*l)))\/((l\/(l**(-3\/4)*l))\/(l\/l**(-1\/2))) assuming l is positive.\nAnswer: l**(331\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o + v = 5*v + 758, 4*o - 1526 = -2*v. Let d = 380 - o. Suppose 0 = -4*t + 4*h, 3*h + 2 - 7 = -2*t. What is the third smallest value in d, 8, t?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -1\/6 (b) -2\/207627 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (63 - -238) + (0 - 6\/(-2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*m + 316604 = 8279. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 27, 9, -27, -87, -177, -303?\nAnswer: -471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y = 6 + 1. Suppose y*c = 4*c + 9. Suppose 0 = 2*j + c*j - 145. Is 13 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -53*w + 60*w = 14 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 414189 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k - 46*z - 3025 = -50*z, -3029 = -3*k - 5*z. Does 21 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -6 + 14. Let m = -7.7 + p. Let z = 2 - 2.4. Which is the closest to 0.2? (a) m (b) -2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) = 5*v**3 + 29*v**2 - 8*v - 8. Let c be b(-6). Suppose -5*j - 2*n + 197 = 0, 5*n + 168 = 4*j + c*n. Calculate the highest common factor of 41 and j.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = q**3 + 6*q**2 - q - 4. Let t be z(-6). Suppose 4*i - 4*o = o - 23, 3*o = -t*i + 5. Let v be ((-25)\/10)\/(460\/184). Is v at most i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {e: 7, r: 4}?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -133 + 214 + (-2 + -4 - (-2 + -1)) + 0\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -137 (base 8) to base 11\nAnswer: -87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Product of 108 and 167.\nAnswer: 18036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -570, -1966, -5076, -10758, -19870, -33270, -51816, -76366?\n\"Answer: -143*t**3 + t**2 - 398*t - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Determine q, given that -3*q**5\/2 + 108*q**4 - 2448*q**3 + 12975*q**2 + 241875*q\/2 - 421875 = 0.\nAnswer: -6, 3, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v = 41 + -77. Let t = 274595\/11 - 24963. Which is bigger: t or v?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 6*q - 2*q - 3*q + (4*q - 4*q - 3*q)*(3 - 2 + 1) + (-1 - 1 + 3)*(-5*q + 3*q + 0*q).\nAnswer: -7*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (8 - 1) + -1 - (-903)\/(-147)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:56 PM and 10:43 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -6 - (53 + -40 - 12)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x = 614 - 607. Solve 0 = -x*s - 2 - 5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = 8*n + 137. Let f(o) = -10*o. Give j(f(a)).\nAnswer: -80*a + 137","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 18 + -22 - (-4 - (4 + -1))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 541747 is divided by 668.\nAnswer: 667","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in -3, 4, -1\/2, 25?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put together -360103.9061 and 81.\nAnswer: -360022.9061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Round 5257 to the nearest 100.\nAnswer: 5300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 16 + -200?\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is -11\/1483 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-1)\/(2 - 186\/(-189) - 3). Suppose s + 70 = j. What are the prime factors of j?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 2\/31 + 23\/124. Let k = -81 - -487\/6. Which is the third smallest value? (a) k (b) g (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 o and 2 r when three letters picked without replacement from {o: 6, r: 2}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from sszzzzzszszzssszzss. Give prob of sequence zzz.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 434 at most 58601\/135?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 422477744 and 1466.\nAnswer: 1466","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*b = 4*o - 16, -10*o + 5*o + 20 = 3*b. Suppose -16*q - 64 = -o*v - 12*q, 0 = -4*v - 2*q + 52. Solve 8*z - z + v = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be ((-12)\/(-15))\/(1\/5). Suppose q + 3 = -2, 2*u - q + 1 = 0. Let g be (-3 + 7)\/2 + u. Sort -5, g, n.\nAnswer: -5, g, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -403, -753, -1103, -1453, -1803, -2153?\nAnswer: -2503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 166 - -606?\nAnswer: 774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 26939?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k be 8\/2 - 7 - (-16)\/2. Solve 7*u + 10 = 2*u - 3*a, k*u + 10 = -a for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many kilometers are there in 3624.646 millimeters?\nAnswer: 0.003624646","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 1728335 divided by 791?\nAnswer: 2185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 11 a factor of 11886?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = -13*z. Suppose 5*l - 21 = 9. Let h(a) = 6*a - 2*a - l*a. Calculate h(g(u)).\nAnswer: 26*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -234937, -234929, -234921, -234913, -234905?\nAnswer: -234897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -188*d = -192*d + 12 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0\/3*13*35\/(-1820).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 135 and 228540?\nAnswer: 2056860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) be the first derivative of 8*z**3\/3 - 5*z**2\/2 + 6*z + 71. Is 2 a factor of t(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.3? (a) 1\/8 (b) 2 (c) 55 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from affccfcmcccc. Give prob of sequence amc.\nAnswer: 7\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -3 - 2 - (8 - (17 + 2))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in 157, -2\/11, 2\/33, 2\/3, -2\/3, -12, -1\/12?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 6238 divided by 1?\nAnswer: 6238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 7195765 to the nearest integer?\nAnswer: 2682","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = s + 16. Let r be h(-10). Round r to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 2.7 - 2.6. Let y = 0.6 - m. Let w be 2\/3*(-9)\/39. Which is the smallest value? (a) y (b) 5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.63 + 0.83. Which is the second biggest value? (a) -5 (b) -10 (c) 2\/7 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = 6 - f**3 - 5*f - 1 - 3 - 5*f**2. Let i be b(-4). Let a(g) = i*g**2 - g**2 + 0*g**2 - g**2. Let d(s) = -2*s**2. Give d(a(y)).\nAnswer: -32*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -818 - 102*c + 818.\nAnswer: -102*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = b**3 - 3. Let i be k(2). What are the prime factors of (3 + -15)*i\/(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = 35*q + 31. Let r be d(9). Let x = -297 + r. Calculate the highest common divisor of x and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*i = -i + 10*q - 18, -13*q + 14*q = i - 1 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (p**3 - p**3 + 3*p**3 + (44 + 6*p**3 - 44)*(-34 - 7 - 4))*(-2*p**2 + 5*p - 5*p).\nAnswer: 534*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 2117185 and 60240?\nAnswer: 101624880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is ((8\/(-2))\/((-1650)\/25))\/((-76)\/(-456))?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) be the third derivative of -25*k**4\/24 + 14*k**3\/3 - 28*k**2. Let q be r(-4). Let l = q - 65. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = 217*v**2 - 2610*v + 40. What is a(12)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b = 2*b - y + 16, 5*b = -4*y + 29. Solve -d = -b*d + 20 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1\/49 - -149\/98. Let s(m) be the first derivative of 0*m + 1 - j*m**2 + 2*m**3. Find the second derivative of s(y) wrt y.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 323 - 318. Let f(u) = -10*u. Let c(y) be the second derivative of y**3\/2 + y. Let v(h) = l*f(h) + 16*c(h). Let x(m) = -4*m. Determine x(v(a)).\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 132 minutes before 12:10 PM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (630\/140)\/((-2)\/4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(336)*-1 - sqrt(21))\/((2*sqrt(18))\/sqrt(6)).\nAnswer: -5*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 15660 is divided by 375.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o = 30 + -26. Suppose -o*s + 104 - 15 = r, 15 = -5*r. Calculate the greatest common factor of 23 and s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/4 of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k = -5*o + 18, 5*o - 23 - 2 = -5*k. Solve 16 = -o*h - 4 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = -p**2 + 2*p**2 - 2*p + 3 - p. Let x be m(3). Suppose -1 = -26*w - 1. Solve x*d + 0 + 3 = w for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -2.8*2130\nAnswer: -5964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (119\/1428)\/(((-10)\/3)\/((-130)\/52) + 0)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hnzn when four letters picked without replacement from zznnhi?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Add -1.86 and 132.7637423743.\nAnswer: 130.9037423743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 - r + 4)*(-1 + 0 + 3)*(-8*r**2 - 10*r + 10*r).\nAnswer: 16*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 24367 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -175*f + 205*f - 249 - 261 for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1 + (-4 + 5 - (1 - -1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (90\/(-12))\/((-3)\/16).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) be the first derivative of 2*r**3\/3 + 9*r**2\/2 - 10*r + 1. Let i(l) = -l**2 + 4*l + 5. Let p be i(6). Is q(p) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = -7*c**3 - c**2 + 6*c - 5. Let n = -13 + 7. Let r(j) = -j - 15*j**2 + 5*j - 8*j**3 - 6 + 14*j**2 + 3*j. Calculate n*m(d) + 5*r(d).\nAnswer: 2*d**3 + d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (366 - 366 - 129*m)*(-4 + 2*m + 2 - 3).\nAnswer: -258*m**2 + 645*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 5189 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/2 in 6215, 8, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Multiply 27041 and 3.\nAnswer: 81123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1 - -6) + (5 - 1) + -6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 111 (base 14) to base 7.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -2\/7, 276.9, -0.4, -0.3, 4\/5, 12\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = -2*i**2 + 14*i - 3. Let d(v) = 20*v**2 - 112*v + 24. Let p(o) = d(o) + 8*y(o). Let q(w) = 1060*w. Determine q(p(x)).\nAnswer: 4240*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -3*a**5 + 12123*a**2*x**3 + 75*a*x**3 + 2*a*x + 5*x**3 wrt a.\nAnswer: -60*a**3 + 24246*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = -1. Let p(c) be the third derivative of -c**5\/60 - 11*c**4\/6 + 5*c**3\/6 + 5218*c**2. Calculate -p(d) - 5*u(d).\nAnswer: d**2 + 44*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 5 times 18227.369\nAnswer: 91136.845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = x**2 - x - 7. Let u be i(-4). Let c be 9 - 0*(-2)\/(-4). Let m = u + c. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -30 - (-14 + -26 + 4)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*(sqrt(132) - -2*sqrt(132)*-5 - sqrt(132)))\/(2*-2*1*sqrt(12)).\nAnswer: 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) = -15*p - 175. Let l(u) = -5*u - 58. Let c(g) = 7*l(g) - 2*o(g). Is 3 a factor of c(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -102 + 13*j**2 - 24*j**2 + 12*j**2.\nAnswer: j**2 - 102","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h = h - 46. Let g = 25 - h. Solve -2 + 4 = g*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*n + 174*m = 168*m - 37, 3*n = 25*m - 108 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 = 2*q + 2*i, 5*q + 7 + 7 = -3*i. Let d be 10*(4 - 2)*q. Let u = d + 50. Calculate the greatest common divisor of u and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (-1*474\/9)\/((-4)\/6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 2409 + -1099. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -26381, -26372, -26363?\nAnswer: -26354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = -178059*o + 2013. Let x(g) = -177*g + 2. Let b(a) = -2*j(a) + 2013*x(a). Let i(r) = -r**2. Determine i(b(w)).\nAnswer: -33489*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m be 4\/18 + -6 + (-53716)\/18. Let d = 7505 + m. Let z = d + -3222. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be -15 - -24 - (-3 + (-714)\/(-57)). Which is the closest to 0.4? (a) v (b) -0.2 (c) 4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 1 + 510918427.70255.\nAnswer: 510918428.70255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: (25\/(-60)*-3)\/(675\/72)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = g**3 + 7*g**2 - 3*g - 17. Let o be x(-7). Suppose o*z + 10 = 2*z. What is the closest to 3 in -0.3, -0.5, z?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((2*sqrt(56) - sqrt(56)) + sqrt(56))\/sqrt(8) + 2 - (sqrt(28)*-6 - sqrt(21)\/(sqrt(9)\/sqrt(3))))**2.\nAnswer: 60*sqrt(7) + 1579","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n = 428\/7 - 61. Suppose 466*h - 107 = 359*h. Sort n, -12, h in increasing order.\nAnswer: -12, n, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) be the first derivative of f**4\/2 - 4*f**3 + f**2\/2 + 3*f - 8265. Let p(t) = t**3 - 13*t**2 + 2. What is 3*p(k) - 2*z(k)?\nAnswer: -k**3 - 15*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2749?\nAnswer: 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 83 = 3*y - 43. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*a**2 + 2 - 5*a - 2.\nAnswer: -5*a*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 0.35019 + -0.55019. What is the nearest to 5 in -5, -1.9, 9, a?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.003 take away 11?\nAnswer: -11.003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-105)\/56)\/5 - -83*(-2)\/(-16).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 619 is divided by 48.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l = 50 + -34. What is the remainder when 63 is divided by l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = -7*t**2. Let m(b) = 16*b. Calculate m(i(v)).\nAnswer: -112*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z = -7 + 10. Suppose 4*p + 3*q = -0*q + 405, -z*p - 5*q + 301 = 0. Suppose 6*o = 3*o + p. Does 14 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 4, h: 3, d: 2}. Give prob of picking 1 u and 1 h.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 292388.\nAnswer: 2, 67, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*g + 2 - 14 = 0. Let u be -1*(2\/1 - g). Calculate the common denominator of (103\/u*(-4)\/6)\/(-4) and 41\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -k - 2*l = 3931 - 3934, 5*l - 18 = -6*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 2\/13 (b) -5 (c) 2.51 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Do 11 and 39\/5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -31139, -31137, -31135?\nAnswer: -31133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 1501948 to the power of 1\/2, to the nearest integer?\nAnswer: 1226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand 5701*i**3 - 5701*i**3 - 1315*i**5 - 1956*i**5 + 3*i**5 + 2*i**5 - 6*i**5 + (i - i - 2*i**2)*(-i**3 + i**3 - 2*i**3).\nAnswer: -3268*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 527*w - 769*w - 6256 = 1730 for w.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = 2*x**2. Suppose -3 = 4*a - 11. Let j(q) be the third derivative of 1\/30*q**5 + 0*q + 0*q**4 + 2*q**a + 0 + 0*q**3. Determine d(j(y)).\nAnswer: 8*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 0.13, -11, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 9959219 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -112 = -2*t - 0*t. Let n(p) = -39*p**2 + p. Let y be n(-1). Let m = y + t. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 646 and 1156.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 576 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -43\/61008 and 107\/624.\nAnswer: 793104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 48*y**5 - 26*y**4 + 4526*y**2 + y wrt y?\nAnswer: 2880*y**2 - 624*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4550 is divided by 1264.\nAnswer: 758","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = 18 - 18 - t. Let q be v(0). Solve 4*x + 16 = q, -3*p + 0*p - 3*x = 21 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = -o**2 + 17*o - 54. Let q = 1 + 2. Suppose -2*b + 28 = 3*w + 8, -2*w = q*b - 10. Calculate the least common multiple of g(8) and w.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1280, 1327, 1374, 1421, 1468, 1515?\nAnswer: 1562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 22660 and 2310?\nAnswer: 475860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Does 1379 divide 103629092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 2614593, 2614595, 2614597, 2614599, 2614601?\n\"Answer: 2*v + 2614591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5403760?\nAnswer: 2, 5, 67547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*b**3 - 28*b**2 + 1610*b + 8500 = 0. Calculate b.\nAnswer: -34, -5, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2 in 12543\/23, -5, -7, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1053 and 507?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 10225 (base 6) to base 11\nAnswer: 104a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 29 = -5*c - 3*l, -20 = 3*c + 16*l - 14*l for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 3886991 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (6 - 5 + 1)*(0*k - 2*k + 0*k)*(-8 - 3 + 0).\nAnswer: 44*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = b**2 + 7*b + 3. Let g be x(-7). Suppose -g*y = 8 - 32. Suppose 5*a - 7 = o, -5*o + 3*a = -0*a - 31. Calculate the highest common factor of o and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 222 divided by 4\nAnswer: 111\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) be the second derivative of u**3\/6 + 3*u**2\/2 - u. Let y be a(-4). Is y at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 h and 2 g when three letters picked without replacement from gghgggdgggwgdwgg?\nAnswer: 11\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*l**2 + 44*l - 42.\nAnswer: -2*(l - 21)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 11 and 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find f such that 24*f**2 + 43*f**2 + 35*f**2 - 133*f**2 - 7362*f + 34*f**2 = 0.\nAnswer: 0, 2454","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = -j - 5. Let q = -85 + 88. Suppose -25 = 5*c + 5*z, 0*z = q*c + 2*z + 16. What is u(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 36746776 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = -2*k**2 - 20*k + 27. Let q be j(-11). Suppose 3*g + q*u = 25 + 4, -4*u + 16 = 0. Factor 6\/5*i + 6\/5*i**2 + 2\/5 + 2\/5*i**g.\nAnswer: 2*(i + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 4.876127 millilitres to litres.\nAnswer: 0.004876127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 732960 and 4320.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w - 5*q = 12, -5 = -w + 2*q + 2. Let n = 0.494 - 0.094. Which is the nearest to w? (a) n (b) -1\/3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -475602, -951280, -1426958, -1902636, -2378314, -2853992?\n\"Answer: -475678*g + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 164 is divided by 44?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*d**2\/4 + 207*d\/4.\nAnswer: -3*d*(d - 69)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**(4\/11)\/(m*((m**(-19)*m)\/m)\/m))\/(m**5*m**(-2\/23)) assuming m is positive.\nAnswer: m**(3656\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c = -19 - -30. Let i(m) = m**2 + 2*m + 45. Let u be i(0). Let s = 65 - u. Solve -4*r = -z - s, 4*r + z - 1 = c for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2 + 209090*i - 209107*i - 2 + 0.\nAnswer: -17*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*k + 4784 + 3328 + 1847.\nAnswer: 3*k + 9959","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from kzjkkjkzjjzkkzk.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 18 = -8*o + 5*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -0.2978 rounded to 2 dps?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 10999 is divided by 549?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -11415*i = 31732 + 128078 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose h = 3*h + 2. Let k be (h - 0) + (-5)\/(-1). Let z(j) = -j - 1. Let t = -3322 - -3323. Let v(n) = 6*n + 3. Calculate k*z(a) + t*v(a).\nAnswer: 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z = -627.8 + 718. Let v = 9.8 + z. Let u = v + -30.3. What is u rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = -16*n + 93. Determine i(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Subtract 0.271745 from -0.07982.\nAnswer: -0.351565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -1 divided by -35?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/5 in -14.164, -5, -0.5, 147, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -1 + -50?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 50900880?\nAnswer: 2, 3, 5, 89, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i = -2 - 2. Suppose -5*c = -6*m - 34, -3*m - 11 - 11 = -5*c. Sort c, i, 9 in descending order.\nAnswer: 9, c, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4 + 2 + (2 + sqrt(162) + 0 + sqrt(162))*1 + -1)**2.\nAnswer: -36*sqrt(2) + 649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = z**3 + z**2 + z + 3. Let t be g(0). Suppose -4*c + 15 = v - 2*v, -5*v - 24 = -t*c. Factor -18\/7*n**c + 2*n**2 + 10\/7*n**4 - 4\/7*n - 2\/7*n**5 + 0.\nAnswer: -2*n*(n - 2)*(n - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 10 (base 3) to base 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g + 1 + 3 = 0. Let l be (-80)\/24*g\/10. Let j = 3.3 + -2.3. Which is the smallest value? (a) -4 (b) j (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = -y**2. Let u(d) = 37*d**3 - 3*d + 2. Let t be u(1). Let a(c) = -683*c**2 - 3*c + 2*c + c + 690*c**2. Give t*q(s) + 4*a(s).\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-12)\/18*3)\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -8610*i + 104*i**2 + 0 + 0 + 8607*i to m*i**2 + l + s*i and give m.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = -83*v**3 + 12*v**2 - 15*v. Let q(y) = 167*y**3 - 25*y**2 + 33*y. Let a(g) = -6*q(g) - 13*u(g). What is the third derivative of a(r) wrt r?\nAnswer: 462","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*l**5 + l**5 + 11*l**5 + 0*l**5 + 0*l**5 + 3*l**5 + (2*l**4 + 0*l**4 + 0*l**4)*(-l - 21 + 21).\nAnswer: 17*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -2, 34, 144, 364, 730, 1278?\n\"Answer: 6*h**3 + h**2 - 9*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = -16*c**2 - 10. Let b(t) = 5*t**2 + 3. Let p(o) = -10*b(o) - 3*d(o). Let n(m) = 2*m**2. Determine p(n(q)).\nAnswer: -8*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = 2*n**3 - 3*n**2 + 2*n - 1. Let s be y(2). Let o be (-28)\/8*24\/(-12) - 4. Solve s*z + 10 = -o*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -356, -884, -1768, -3014, -4628, -6616, -8984?\n\"Answer: -i**3 - 172*i**2 - 5*i - 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 8.050218 years to months.\nAnswer: 96.602616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) be the first derivative of 13*p**3\/15 + 7*p**2\/5 + p\/5 - 540. Let w(r) = 0. Calculate r.\nAnswer: -1, -1\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1772580 is divided by 240?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 13386 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -22*b - 3*b - 48*b.\nAnswer: -73*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is (-46 - -45) + 3 + -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -284, -554, -786, -962, -1064?\nAnswer: -1074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -14? (a) 2\/3 (b) 3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Round 17508.854503 to 1 dp.\nAnswer: 17508.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) be the second derivative of 7*n**4\/12 - n**2\/2 - 2*n. Suppose -4 - 1 = -5*b. Determine d(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u - 4*u + 900 = 4*l, 4*l - 5*u = 900. Let o = l - 18. Suppose 4*v + 3*k - 876 = 7*k, 0 = -v + 4*k + o. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2207752.16 - -4.0038?\nAnswer: 2207756.1638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-11 - -9 - -9) + (17 - -7 - -54).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*r + 6 = -3*a + a + 2, 9*r - r + 16 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is (2477 - 0\/(-1)) + 3 + -6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x - g + 1 = x, 2*g + 6 = 0. Let r = -4.7 - -5. Let f = 0.8 - r. Which is the third biggest value? (a) f (b) x (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l = -4*m + 1064048, 97*m - 1596088 = 3*l + 93*m. Round l to the nearest 10000.\nAnswer: -530000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:55 PM and 12:18 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 0.022901 rounded to four decimal places?\nAnswer: 0.0229","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = 2*k**2 - 4*k - 3. Let d(r) = r - 7. Let w be d(5). Let i be b(w). What is the second derivative of -55*j - i*j**4 - 9*j**4 + 100*j - 50*j wrt j?\nAnswer: -264*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d**(-2\/5))**(-19\/2)\/(d**(-3\/7)\/d*d**(-4)))**(3\/2) assuming d is positive.\nAnswer: d**(969\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2*(-1)\/10)\/(246\/(-615)) - 12852\/168.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2308428030?\nAnswer: 2, 3, 5, 47, 1637183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: (64\/112)\/(5*(-8)\/(-420))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 12852 is divided by 531.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -26 (base 16) in base 11?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v - 18*p = -16*p + 26, 6 = -2*p. Let n = -1 - -1.3. What is the second biggest value in 3\/4, v, n, -1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = 49*u**2 - 14*u + 3. Is v(16) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = -j**3 - 2*j**2 + 4*j + 2. Suppose -7*r + 2*r - 20 = 0. Let c be m(r). Calculate the greatest common divisor of c and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 24703 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Express -17 + 17 + 6*q + (-1 + 3 + 2)*(-q + 3 - 3) - q - 1 + 1 as r*q + d and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 67*y**2 + 16671*y + 7016542?\nAnswer: 134*y + 16671","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 93022 is divided by 6201.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 437567 to the power of 1\/2, to the nearest integer?\nAnswer: 661","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 = -2*a - 5*x, 0*a - 5*a = 4*x - 20. Solve k - a*k = 12 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = 5*u**2. Let x(p) be the first derivative of -11 + 1\/6*p**3 - 3*p + 0*p**2. Let m(o) be the first derivative of x(o). Determine w(m(l)).\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 185040?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000021253 rounded to seven dps?\nAnswer: 0.0000213","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = -q**2 - 24*q + 76. Let g be t(-44). Is g at most -805?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j - 14 = m - 6*m, 3*m - 4 = j. What is the second derivative of -4*o**2 + 2*o**3 + m*o + 0*o + 4*o**2 wrt o?\nAnswer: 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.10730059 and 3.\nAnswer: -0.32190177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 206 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert -36634 (base 7) to base 11.\nAnswer: -721a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 1\/5, -97\/5, -2\/33, 8.1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 2961 and 687281.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*q - 3*w - 35, -5*q - 27 + 73 = -3*w. Suppose 2 = y, -5*p + 2*p - q = 2*y. Put p, 5, 3 in increasing order.\nAnswer: p, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 436271?\nAnswer: 11, 17, 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -16201 (base 9) in base 8?\nAnswer: -25532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Put 0, -5, -7\/13, 175, -107 in descending order.\nAnswer: 175, 0, -7\/13, -5, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -2 - bc765?\nAnswer: -bc767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) be the third derivative of -y**4\/24 - 17*y**3\/6 - 66*y**2. Determine w(-18).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2*f + 5*n - 21, -4*f - 2*n = -6*n for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x + 18 = 4*v, 0 = -2*v - x + 4 + 11. Let j(a) = 3*a**3 + 1. Let m be j(-1). Let l = v + m. Solve -l = -t - 3*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (4 + -6)\/((-4)\/22). Calculate the highest common factor of z and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -412 - -382.3. Let a = u - -29.4. Sort a, 7, 1\/7 in ascending order.\nAnswer: a, 1\/7, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-17 - -46) + (-18 + (1 - -7) - 4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in fourty-three halves of a century?\nAnswer: 2150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u + 14 = -5*k, -3*u = -5*k - 0*k - 16. Let m be (-1)\/3 + 20\/6. Factor 2*f - 4*f**u - f**m + 7*f**3 - 2*f.\nAnswer: 2*f**2*(3*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3162124 divided by -790531?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.07 and -0.257.\nAnswer: -0.01799","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 80 and 33787020?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o = 136 - 130. Suppose -7*g + 51 = -o*g. What are the prime factors of g?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = -j**3 - 36*j**2 + 38*j + 38. Let l be i(-37). Let f(s) = 3*s**2 - 6. Let y(m) = 1. Determine l*f(r) + 5*y(r).\nAnswer: 3*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 4 a factor of 2549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 52*h - 10*h**2 - 52*h + 12*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 86 (b) 3\/11 (c) -24 (d) -2 (e) 1 (f) 1\/7 (g) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t = 4*t + 560. Let b = -1964\/7 - t. Let l(m) = -m**2 - 17*m + 19. Let s be l(-18). What is the closest to s in 3, 5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 113 - 151 - (3 + (5 - 11)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 78359.4016 rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = l**3 + 16*l**2 - 18*l - 21. Let w be c(-17). Let r = -16 + -16. Let b = w - r. What are the prime factors of b?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -4\/9 in -0.2, 3, -1, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in x**2 + 73197814197 - 73197814197.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = -44*p**2 + 3*p - 5. What is t(2)?\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 59 + -1 + (3 - -26) + -16.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d = -4*i - 0 - 8, 32 = 5*d - 4*i. Suppose d*w - 400 = 7672. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum 0.165 and 28982.\nAnswer: 28982.165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -7 + (-4 + 1 - (-6 + 2))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l = -2.99 - 0.01. Let s be 0\/(-5) - (-2)\/(-3). What is the nearest to -1\/3 in s, -0.1, l?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) be the second derivative of -63\/10*g**6 - 1\/20*g**5 - 245\/2*g**2 + 0*g**4 + 0*g**3 - 5*g + 0. Differentiate x(a) wrt a.\nAnswer: -756*a**3 - 3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.2 + 0.6. Let o be 4\/(-7) - 0\/(-1). What is the smallest value in v, 1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) be the third derivative of -2*n**7\/105 + n**6\/10 - 8*n**5\/5 - 2*n**2 - 28. Find the third derivative of r(m) wrt m.\nAnswer: -96*m + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*t = 2*t - 4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 4660, 9758, 14870, 20002, 25160, 30350?\nAnswer: 35578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = -2*b + 177. Let a(p) = p**2. Determine a(k(r)).\nAnswer: 4*r**2 - 708*r + 31329","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 o, 1 z, and 2 u when four letters picked without replacement from {z: 2, k: 1, u: 5, d: 3, o: 1}.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7486963.\nAnswer: 11, 680633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 119\/438570 and -89\/72?\nAnswer: 1754280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = -234*t - 1. Let o be x(-1). Let s = o - 163. Let i = s + -33. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = -z**2 - 2*z + 176. Give v(13).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -379*l - 400*l = -680*l - 9009 for l.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*x + 6*x - 4*x)*(-2*x**4 - 6*x**4 + 2*x**4).\nAnswer: -12*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 3713 and 1316.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*t + 0*t - s + 6 = 0, -21 = 2*t + 5*s for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (6 - -1) + 2 + -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = 30*s**2. Let n(a) = -1682222*a. Calculate n(b(d)).\nAnswer: -50466660*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*s**2\/7 + 113397*s\/7 + 566910\/7.\nAnswer: 3*(s + 5)*(s + 37794)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 52*j**4*u + j**2*u - 5*j**2*z + j*u*z + 71*j*u wrt j.\nAnswer: 624*j**2*u + 2*u - 10*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Total of 0.4 and 84625186.\nAnswer: 84625186.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 315742 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = -w**2 - 7*w - 1. Let x be t(-6). Let s be ((-16)\/20)\/(10\/(-25)). Put 0, s, x in decreasing order.\nAnswer: x, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = 2*o - 6. Determine a(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express 14 - 25*w - 14 + 1 - 1 - 2*w + (0 + 1 + 1)*(w + 0 + 0) + w + w - w + 4 - 4 - 2*w as x*w + p and give x.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m = -30 + 19. Let w(f) = 11*f**2 - 3*f - 10*f**2 + 14 + 8*f + 5*f. What is the tens digit of w(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z**(-1\/4)*z)\/(z*((z*z**(4\/13))\/z)\/z))**(3\/8)*(z**(-2\/7)\/((z\/((z\/z**0)\/z)*z)\/z))\/(z**(-2\/3))**(-31) assuming z is positive.\nAnswer: z**(-190327\/8736)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x = -42 + 97. What is the remainder when 106 is divided by x?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -34137110584809\/30521 + 1118479426. Let u = -1\/1327 + v. Calculate the common denominator of 111\/10 and u.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*g - 288488 = 141505. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -214 - -474. List the prime factors of o.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -64\/7 + 590\/63. Let o be (-2)\/3 - 1*25\/(-15). Is n != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -12*g**3 + 12*g**3 - 65*g**4 + (9*g**2 - 49*g + 49*g)*(7*g**2 + 8*g**2 - 4*g**2) to the form u*g + s*g**2 + b + k*g**3 + v*g**4 and give v.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o = 926.37 + -778. Let n = 149 - o. Round n to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -0.3, -3\/2, -0.4, -614706, 2\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = d**3 + 39*d**2 + 105*d - 109. Let w be p(-36). Put -4, w, -6.8 in ascending order.\nAnswer: -6.8, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = 3*l**2 + 1736*l + 60132. Determine o(-37).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*c - 4*c - f - 882, 5*c = -4*f - 2208. Let d = c + 444. Put 6, d, 0 in decreasing order.\nAnswer: 6, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = 3*m**4 - m - 13. Let c(y) = 2*y**4 - y - 6. Let b(n) = 13*c(n) - 6*u(n). What is the second derivative of b(r) wrt r?\nAnswer: 96*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -4, -2507, 4 in ascending order.\nAnswer: -2507, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from zzoznlogz. What is prob of sequence zgz?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q = 20 + 2. Let h(k) = -q - k - k + 40. Let m be h(7). Solve 0 = -5*v + m*t - 12, v = -t + 3*t - 6 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -7473663 (base 9) in base 16?\nAnswer: -3d1c4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {e: 8, y: 2, j: 2, s: 2}. Give prob of picking 1 y, 1 j, and 1 e.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = -x**2 - 24*x - 98. Determine u(-11).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*n**4 + 25920*n**3 - 74675502*n**2 + 71812785624*n - 214766976951.\nAnswer: -3*(n - 2879)**3*(n - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*s + 11*s = 198. Let p be 186\/s + (-2)\/(-11). What is the derivative of -6*a**p - 20 + 12 - 3*a**3 wrt a?\nAnswer: -27*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7041 is divided by 44.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate -36094350 divided by -246.\nAnswer: 146725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Does 11 divide 137104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = -5*u**3 - 3*u**2 - 2*u - 1. Let m be y(-2). Let c = -13 + m. Suppose -6*v = -7*v + c. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = -m**3 + 9*m**2 - 5*m + 3. Calculate the remainder when s(6) is divided by 43.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = -2*z**2. Let s(d) = -d**3 - 4*d**2 - 3*d + 2. Let c be s(-3). Let x(w) = -2*w**c - 2*w**2 + 7*w**2. What is p(x(v))?\nAnswer: -18*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 112\/6347 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 57950 - 8359537?\nAnswer: -8301587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) -0.4 (b) 1\/45 (c) -1 (d) 4 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*z + 9870 = -81057. What is z rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together -2 and -6.4249054991015.\nAnswer: -8.4249054991015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) -29 (b) 4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 37 minutes before 4:24 PM?\nAnswer: 3:47 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} {"text":"Question: Let h(p) be the second derivative of 0 - 5\/6*p**7 + 15*p + 0*p**5 + 0*p**2 + 0*p**3 + 35\/12*p**4 + 0*p**6. Find the third derivative of h(y) wrt y.\nAnswer: -2100*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*-2*(sqrt(24)\/sqrt(3) + sqrt(8) - sqrt(8)))**2.\nAnswer: 800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l = -10*a + 6*a, -2*a + 4*l = 0. Solve a = 2*t - 64 + 66 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 9703654.\nAnswer: 2, 23, 193, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Factor n**3\/9 - 23*n**2\/9 - 8*n\/3.\nAnswer: n*(n - 24)*(n + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j = -6 + 8. Suppose j*a - 5 = -41. Suppose 233 = 2*p + 18*p + 633. Is a greater than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 12 + (-57)\/38*(-7 + 13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 46082587, 46082582, 46082575, 46082566, 46082555, 46082542, 46082527?\nAnswer: 46082510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*s - 3*y + 27 = 0, 3*y - 6*y = -s - 9. Suppose -4*h = -s*h - 9. Let d be (-27)\/(-12)*(-24)\/h. Which is greater: d or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*a + 4*g - 66 = 0, -4*a - 4*g = -2*a + 4. Let y be (5\/(-2))\/(a\/8). Solve 0*m**y + 0*m + 3\/5*m**3 + 0 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0176178777 rounded to 3 decimal places?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 62 a factor of 744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m be 5*3\/(-30)*-78. Let w = -116\/3 + m. Let h = -6 - -11. What is the biggest value in h, w, -3\/4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 19370894 is divided by 2589.\nAnswer: 2585","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*z - 2*r + 6 + 3 = 0, 4*z + 5*r - 6 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*d + 7*d = 8. Let y(a) = -a**2 + 7*a + 10. Let u be y(d). Let b be u - (6\/(-9))\/(6\/27). What is the second smallest value in b, 0, -4, 3\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -16.5 - -8.1. Let u = s + 8. Which is the biggest value? (a) 0.05 (b) u (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h - h = -480. Suppose 40 = -0*y + 5*y. Suppose y*c = 4*c + 60. What is the greatest common divisor of c and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 4 (base 7) to base 11\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 273 and 39?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.7*-0.08.\nAnswer: -0.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 302918176 divided by 151459088.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7079 + 5605 = -11*k. What is the remainder when 148 is divided by k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = -9*o - 3. Let v(n) = -3*n - 1. Let j be -1*((-3)\/(-1) + 2). Let l = -1 - j. Let x(y) = l*m(y) - 11*v(y). Calculate x(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 45983463?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -24, -58, -130, -252, -436, -694?\n\"Answer: -2*u**3 - 7*u**2 + u - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = -6*u - 27. Let f be o(-8). Suppose -5*r = 7*p - 3*p + f, r + 4 = -p. Let n be p\/(4 - (-17)\/(-4)). Sort n, -3, -2.\nAnswer: n, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in 4\/7, -15\/8, 311, 0.051?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = 6*z**3 - 10*z**2 - 61*z - 92. Calculate m(-2).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l be 36\/48 - (0 - 49\/4). Suppose -1977 = -l*u + 1533. List the prime factors of u.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3 times 7762435?\nAnswer: -23287305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) = -6*a - 6. Let t(h) = -h - 1. Let v(i) = 2*k(i) - 11*t(i). Determine v(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 4596 and 252\/30*210\/84.\nAnswer: 32172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 11 + -18. Let k(h) = 4*h**2 - 7*h + 7. Suppose 0 = -3*b + 4*b - 4. Let w(i) = 0 - 5 - 4 - 3*i**2 + b + 5*i. Calculate y*w(r) - 5*k(r).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2058400 to the nearest integer?\nAnswer: 1435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 4, -2, 3, -2.4, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*x**5 - 2*x**5 + x**5 + (-7*x - 2*x**3 + 7*x)*(x + 0*x + 2*x)*(2*x - 3 + 9*x - 6*x).\nAnswer: -31*x**5 + 18*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = -f**2 - 6*f + 3836. Let z be g(-65). Solve 7*n + z = 6*n, 4*n + 24 = -5*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*(sqrt(209) + (sqrt(209) - (sqrt(209) - 1*sqrt(209)))))\/(sqrt(22)\/sqrt(2)*-3) - (sqrt(475)*1 + (sqrt(19)*3 - sqrt(19))*-5)**2.\nAnswer: -475 + 2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i = -29.978964 + 30.079. Let p = -0.3 - -0.4. Let h = p - i. Round h to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 13504192*d**4 + d**2 - 11769*d + 51 wrt d?\nAnswer: 324100608*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose m - 5*m + 2*k = -78, 2*m - 9 = -5*k. Let u(y) = -5*y + 22 + m - y**2 - 56 + 18. Let a(p) = -2*p**2 - 3*p - 3. Let q be a(-2). What is u(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) -52 (c) -5 (d) 3\/154 (e) -1\/9 (f) -3 (g) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 10*q**2 - 2*q**3 - 6*q**2 + 8*q - 6*q to t*q**3 + r*q + y*q**2 + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/2 in -0.53, -4, 1?\nAnswer: -0.53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 58290267 to the power of 1\/3, to the nearest integer?\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) be the second derivative of q**5\/20 + q**4\/6 - 3*q**3\/2 + 11*q**2\/2 - 73*q. Let p be i(2). Calculate the greatest common divisor of 81 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 23876 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = -r**3 - r + 13. Suppose 2*w = -3*w. What is the units digit of x(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -3343, -3611, -4031, -4579, -5231, -5963?\nAnswer: -6751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = x**2 - 4*x - 7. Suppose 4*h + 19 = -5. Does 24 divide t(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 4724675?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18*n - 11088 = -3*n. Does 24 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 16c + -7?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round -0.01427278344 to four decimal places.\nAnswer: -0.0143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 101088 divided by -156\nAnswer: -648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from gggggjjg. What is prob of sequence gjgg?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:13 PM and 12:51 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n be -7*(-1)\/1*85\/119. Let h(p) be the third derivative of 0*p**3 + 3\/8*p**4 + 0*p + 0 + 1\/6*p**n - 11*p**2. What is the second derivative of h(l) wrt l?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - p**3 - 1)*(8*p - 14 + 14 + (1 - 1 - 2*p)*(0 + 0 + 1)).\nAnswer: -6*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = -a**2 - 10*a + 1. Let i be c(-7). Let l = 61 - i. Does 10 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 10*y**3 + 2*y**2 - y**2 + 12*y**2 wrt y.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**3*h**(3\/4))**(-47)\/((h*h*h**(2\/7))**(-1\/8))**(-9) assuming h is positive.\nAnswer: h**(-5007\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = r**2 + 5*r - 10. Let p be q(-9). Let v be p\/10 + (-6)\/(-15). Let k be v*(-1)\/((-6)\/(-4)). Which is the biggest value? (a) -1 (b) k (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -17 + 12 + 8*c**2 + 5.\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = w**3 - 7*w**2 + 9*w - 9. Let r be u(6). Let v be (-390)\/r + (-1)\/(-3). Let n = -31 - v. Solve -x = -4*x - n for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -94 - 2 = 3*p + 3*h, 35*p - 4*h = -67 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a be 1\/(-2) + 86\/4. Suppose 0 = 3*h, -74*l = -76*l + 5*h + 44. Which is smaller: a or l?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find j, given that 4*j**2 - 28*j + 40 = 0.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round -0.175101362 to two decimal places.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(44)\/(-2*sqrt(256))*1 + sqrt(11) + -2 + 4 + -2 + -5)**2.\nAnswer: -75*sqrt(11)\/8 + 8875\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u = 4835\/7 - 691. Which is the nearest to -55? (a) u (b) -1 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {a: 2, f: 4, h: 1, l: 1, w: 1, n: 6}. Give prob of picking 1 h, 1 l, and 2 f.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/2 of a decade in years?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = -6*h**2. Let c(y) = -2*y**3 - 5*y**2 + 8*y - 5. Let k be c(-6). Let s = -34 + k. Let z(f) = s + 3*f - 165. Give a(z(j)).\nAnswer: -54*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 3845598306?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r = -2564 + 3679. Is r a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 17315, 34601, 51877, 69143?\nAnswer: 86399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-1152)\/27)\/(-8) + (-1)\/3. Suppose 4*k - 3*n + 26 = 0, -2*k + 3*n = z + 11. Let w = 0.11 + -0.31. Put -5\/3, 1, k, w in decreasing order.\nAnswer: 1, w, -5\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 6\/(-18)*(1 - -1292). Let l = 276 + -484. Let a = l - f. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -7\/81390 and 77\/691815?\nAnswer: 1383630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-18 - -23) + 18 + -15.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) be the second derivative of 0 + 5*j + 0*j**4 - 13\/20*j**5 - 13\/2*j**2 + 0*j**3. What is the derivative of p(k) wrt k?\nAnswer: -39*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:53 PM and 2:59 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -43\/19244 and 7\/12818.\nAnswer: 7254988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) be the first derivative of s**6\/360 - s**5\/15 - s**4\/12 + 14*s**3\/3 - 26. Let a(o) be the third derivative of q(o). Give a(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = 34*h + 102. Let n be t(-3). Suppose -2*q - 4 = 30. Let k be (-18 - q)*(2 + (-3 - n)). What is the highest common divisor of k and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = 28*m**2 + 397*m + 60. Let f be l(-14). Let t(q) = 9*q**2 + 89*q - 1. Calculate t(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (((-1600)\/8)\/(-5))\/(240\/150).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = 4*b**2 + 2*b**2 - 4*b**2. Let q(o) = 4*o + 5*o + 3*o + 0*o + 4*o. Calculate i(q(c)).\nAnswer: 512*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + sqrt(180) + -4.\nAnswer: -9 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = -l**3 + 25*l**2 + 259*l + 575. Calculate d(-5).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*c - 280 = c. Let x = -32 + c. Is x a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -100022210 (base 3) to base 6.\nAnswer: -51250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = 15*k**3 - 14*k**2 - 29*k - 93. Let w be t(27). What is the tens digit of (w\/121)\/3 + 4\/22?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-2*i + 0 + 0)*(-2 - 2 + 5) - 4 + 4 + i + 23*i + 8*i + 5*i)*(i - 2*i + 2*i).\nAnswer: 35*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = 3*d**2. Let n(f) = 371*f**2. Give i(n(h)).\nAnswer: 412923*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1 - 84*f + 84*f - 11*f**2 to the form s*f + t*f**2 + m and give t.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 26226310 and 61528.\nAnswer: 104905240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((u*u\/(u**(-1\/8)*u))\/(u\/(u**(-5)*u)))**(-11\/7))**(-28))**(-3\/7) assuming u is positive.\nAnswer: u**(1023\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = -d**2 - 49*d. Let c(q) = q**2. Calculate -c(v) + w(v).\nAnswer: -2*v**2 - 49*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*sqrt(18)*-2.\nAnswer: 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l be (1\/(-3))\/((-1)\/8). Let g = 0.587 + -5.027. Let h = -6.44 - g. What is the closest to 0.2 in l, h, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = n**2 + 11*n - 8. Suppose 0 = -2*o - 15 - 1. Find the common denominator of a(o) and (-12)\/16*(-4)\/(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 4276\/5 - 4258\/5. Factor 48\/5*f + 78\/5*f**4 + 8\/5 + o*f**5 + 134\/5*f**3 + 114\/5*f**2.\nAnswer: 2*(f + 1)**3*(3*f + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 48819856 to the power of 1\/2, to the nearest integer?\nAnswer: 6987","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = -x + 4. Let c be a(2). Let r(d) = -6*d**2 + 6*d**2 - d**3 + 2*d**3 - 2*d. Calculate r(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000233236 rounded to 6 decimal places?\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(320)*1)\/sqrt(4))**2*-4 + -1 + 2*sqrt(5) + -2 + -3 + 4.\nAnswer: -322 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q = -18 - -36. Let s be q\/(-1 + 4) - -1. Let k = s + -3. Solve k*z + 5*i = 12 - 47, -3*z = -5*i for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2352*t + 38214 = -615*t for t.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -43*z = -110950 - 125593. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 88.030195 rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -1744143, -1744131, -1744105, -1744059, -1743987?\n\"Answer: u**3 + u**2 + 2*u - 1744147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (1 - 3 + 0)*((-3 + 3 - 1)*(-5*a + 5*a + 2*a) + (12*a + 28 - 28)*(1 - 2 - 1) + 3 - 3 + 9*a) to u + q*a and give q.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l = 3 + -3.2. Let q = -3 - -6. Let t(y) = 2*y**2 - 4*y + 4. Let o be t(2). What is the closest to l in q, 0, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 149, 276, 417, 578, 765, 984, 1241, 1542?\nAnswer: 1893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -0.0131 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + 3*sqrt(2057).\nAnswer: -1 + 33*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Do 21996 and 21997 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 824*b - 999*b - 1244*b - 46827 for b.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {x: 2, g: 7}. Give prob of sequence xgg.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 52180 and 34?\nAnswer: 887060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 72 = 5*a + 12. Calculate the remainder when 69 is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 15 + -11. Suppose -3*l - 91 = -0*k - z*k, -2*k + 59 = 3*l. Calculate the remainder when k is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = -96*s - 7. Let v be w(-3). What is the second derivative of 11*k**2 + 6*k**2 - 300*k + v*k wrt k?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 2 + -11 + 6 + 41 + (10 - 16)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**(-9)*y)**(-13)*(y**(1\/10)*y)**(1\/38) assuming y is positive.\nAnswer: y**(39531\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = 4*r**2 - 26*r - 6. What is c(6)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s = 12368 + -12221. What is the remainder when 1474 is divided by s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 68 - 66. Let n(f) be the first derivative of f + 10 - 1\/2*f**r. Give n(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*l**3\/4 - 3952332*l**2 + 31618665*l\/4 - 7904667\/2 = 0 for l.\nAnswer: -5269778, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 22*q**4 - 70*q**2 + 1976 wrt q.\nAnswer: 88*q**3 - 140*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r - 310 = 5*u - 24, 0 = -2*r + 4*u - 544. Let g = r + 281. Solve -3*i + 6*i = 3*b - 12, 4*i - 11 = -g*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = -6*l**2 - 4*l - 3. Suppose 5*c = -0*c - 5. Let j be t(c). Let k = j + 10. Solve k*o - 3*o = -8 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1684*n**3 + 0*n - 4*n + 4*n.\nAnswer: -1684*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Product of 151 and -4.\nAnswer: -604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 0*y - 2*y - 5*y**3 + 3*y wrt y?\nAnswer: -30*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v + 5*v = -2*t + 11, 0 = -v - 4*t + 7. Suppose -2*r - 3 = -r + 2*a, -v*r - 4*a - 7 = 0. Let m be (-5 + 2 + 3)\/r. Put 5, m, 2 in descending order.\nAnswer: 5, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -32 - -36. Suppose 5*u - 2*r - 1617 + 487 = 0, 1140 = 5*u - h*r. Calculate the greatest common factor of u and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -793, -797, -803, -811, -821, -833?\n\"Answer: -b**2 - b - 791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = -c + 3. Let h be k(-8). Let b = h - 9. Suppose 113 = 5*l - b. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 5 and 139.\nAnswer: 695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 77*p - 6*p + 379 - 1231 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 809720.\nAnswer: 2, 5, 31, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 1663 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 j and 1 b when three letters picked without replacement from {f: 1, o: 1, j: 2, i: 1, b: 2, z: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from bbbbddbbdbbddadbdbb. What is prob of sequence dbad?\nAnswer: 77\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -6095 in 40, 0, -1, 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = 13*d**2 - 2*d - 1. Let g be p(-1). Suppose -10 - 15 = -5*z, 4*z - 17 = y. Suppose 0 = y*n - 4*n + g. What is the least common multiple of 26 and n?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 56125 to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 15*m - 16*m + 1343. Let u = 4096\/3 - m. Find the common denominator of u and -37\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -5\/7 in 1, 0, 1\/305?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-4)\/(-6) - 32\/(-24). Let y = -194 + 189. Which is the closest to 0? (a) y (b) 0.1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-16)\/(-42) - (27\/(-21) - -1)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -551 - -1912. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 20 and (16\/3 + 0)\/(110\/165).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2747*c**2*t**4 - 13*c**2 - 2*c*t**5 - 301*t**2 wrt t.\nAnswer: -65928*c**2*t - 120*c*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = -5*l**2 - 2*l + 3. Let i be s(-3). Let w = i - -40. What is the lowest common multiple of w and 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 0\/(1*(5 + -7)). Is k equal to -2\/805?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -109, -434, -957, -1666, -2549, -3594?\n\"Answer: 2*p**3 - 111*p**2 - 6*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -9070, -72461, -244516, -579565, -1131938?\n\"Answer: -9055*z**3 - 2*z**2 - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t = -73 + 50. Let a = t - -27. Which is smaller: 2 or a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be -1 + 1 + 4 + 0. Suppose -m*c + 1 = -11. Which is smaller: -2\/5 or c?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2323 - 4882 = -147185*g + 147527*g - 36275 for g.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -2 - 12 = -r + 5*v, -3*v = -3*r + 18 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 5, 1045, 1\/139.\nAnswer: -3, 1\/139, 5, 1045","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -2, -5, -1, 10 in ascending order.\nAnswer: -5, -3, -2, -1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j = 7*j - 5*x - 2850, 2*j - 2*x = 1904. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u + 57 = -0*u. Suppose 3 + 46 = 7*b. What is the remainder when 250\/b + (-42)\/(-147) is divided by u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 90 and -4657.\nAnswer: -419130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-105)\/33)\/((-7185)\/94842)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 376*l**3*x - 17*l**3 + 3*l**2*x + 202*l**2 - 17*l*x - 5*l - 2*x + 1 wrt x?\nAnswer: 376*l**3 + 3*l**2 - 17*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 58*r - 133*r = -323*r - 554*r - 28872 for r.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose h - 2*k - 5536 = 0, 24*h - 27628 = 19*h - 3*k. Is h a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*f**2 + 18496150*f + 73984520.\nAnswer: 5*(f + 4)*(f + 3699226)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -1564 (base 7) in base 4?\nAnswer: -21322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + (-1*-1*sqrt(684)*-1*6 - ((4 + 5 + 2*sqrt(684))*-4)**2).\nAnswer: -45069 - 3492*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 421303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w = 10953 - 10953.1. What is the closest to 0.1 in -2\/67, w, -1\/6?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -y**3\/5 + 927*y**2\/5 - 286443*y\/5 + 29503629\/5 = 0.\nAnswer: 309","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = 26*b**3 + 17*b**3 - b**2 - 13*b**3. Calculate the remainder when s(1) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*n - 3*n. Let a be 4\/(-6) + n + 1. Which is smaller: 4\/5 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 197*j = 103*j + 99*j - 30 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*c**2\/3 - 28*c\/3 - 160.\nAnswer: 4*(c - 15)*(c + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -12 = 3*z - 6*k + 3*k, 17 = -3*z + 4*k for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1*(254\/(-254))\/((-2)\/(-14))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 g and 1 r when two letters picked without replacement from hhighhghfkrg.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 416 minutes after 12:16 PM?\nAnswer: 7:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u = -132 - -154. What is the lowest common multiple of 2 and u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose t - 7 = -0*t + 5*v, 3*v = -t + 31. Suppose w - 3*w = -t. Does 11 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 7692.4 and -0.4.\nAnswer: -3076.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 106124005?\nAnswer: 5, 13, 31, 52667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -17, -27, -49, -89, -153, -247, -377?\n\"Answer: -z**3 - 3*z - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 29.90992284 rounded to zero decimal places?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 78627716?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 893 is divided by 36.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1456 + -3012. Let o = 889 + v. Let t = 307 - o. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence da when two letters picked without replacement from dddddaaddadd.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g = 9 + -8. Suppose -2*t + 4*f + 10 = 0, 3 = -t - 5*f + g. Let k be -1*2\/(-1 + 0). Solve t*j + 11 = k for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = y**2 - 7*y + 7. What is the lowest common multiple of x(6) and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*o**2 - o**2 + 71 - 71 + 4*o**2.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u = 217 - 136. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:42 PM and 8:06 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13 = -5*y - d, 4*d - 35 + 23 = 0. Sort -1\/18, y, -1, -5 in descending order.\nAnswer: y, -1\/18, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 81\/43947664 and -109\/690.\nAnswer: 659214960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-1)\/3 - 56\/(-6). Let m(y) = -7*y + 4. Let v be m(-6). Suppose 5*l - v = s. What is the remainder when l is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = a**2 + 7*a + 6. Let u(v) = 3. Calculate -d(g) + u(g).\nAnswer: -g**2 - 7*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:59 PM and 12:15 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) be the second derivative of 5*u**3\/6 - 201*u. Let j(o) = -145*o**2. Determine j(n(x)).\nAnswer: -3625*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 719960 - 206785 = -175505*i + 175530*i. What are the prime factors of i?\nAnswer: 13, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-12)\/(-4 + -2) - 6. Let q = 3 + -3. What is the nearest to 1 in q, -1\/2, z, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 24 divide 2424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 55155 is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m be 3 + (-1)\/(2 - 3). Solve -3*r - 5*w = r - 1, 9 = -m*r + 5*w for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 6647\/6 + -3325\/3. What is the nearest to z in -4\/3, 325, 0.7?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -39, -44, -39, -18, 25?\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -1\/8 (b) 2\/7 (c) 49 (d) 83013\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -17*o = 63*o + 113*o - 2123 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -2 - 113?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -2\/13, 2\/13, -0.1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r = 101.3 + -108. Let p = r - -7. What is the second biggest value in p, 3\/5, 5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 7274432, 14548856, 21823280?\n\"Answer: 7274424*v + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 31 in 2\/7, 4, 0.119?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = 7*n**2 + 5. Let h(d) = -4*d**2 - 3. Let r(c) = -5*h(c) - 3*j(c). Let g(a) = -18*a**2 - 60661*a - 60649*a + 121310*a. Give g(r(t)).\nAnswer: -18*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (16\/4)\/(48\/6*(-2)\/44)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 143 divide 83581554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q - 4*r = -3*q - 22, 4*r = q + 13. Let b(g) = -g**2 - 10*g - 7. Let u be b(q). Solve u*w - 4 = -2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 32 = 4*c - 0*c. Let s = c + -5. Let o(i) = 2*i**2 - 5*i - 1. Let y(l) = -l + 1. Let k(u) = -o(u) + 3*y(u). Determine k(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*v + 4*a + 28, -6 = 5*a + 4 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**(2\/27)*n\/((n\/(n\/n**(2\/17)))\/n)*n)\/(n**(2\/7)\/n**10) assuming n is positive.\nAnswer: n**(40711\/3213)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-2)\/8 - 17\/(-4). Let u(f) = -3*f - 1. Let j(l) = 4*l. Let w(n) = 2*j(n) + 3*u(n). What is w(p)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 6, -2\/17, -0.4, 5\/3, -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -17528565+-0.3\nAnswer: -17528565.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 10*h + 103 - 23. Put 5, h, -4 in descending order.\nAnswer: 5, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 88, 545953, 4.\nAnswer: 4, 88, 545953","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 1 + (4 - (-4 + 11))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is ((-4)\/12)\/((-2990)\/156)*5\/2?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -9 + (7 + -1 - (-19 - -1))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 6 - (-3 - -6) - 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-4 - 5\/(-5)) + (-561)\/(-198)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3.5323*0.0273.\nAnswer: 0.09643179","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u = 85 - 162. Let q = u - -77. Let r(l) = l**3 + l**2 - l - 6. Give r(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 97757118?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 0 or -59\/61?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b = -52 + 91. Does 13 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*q + 105*z - 4 = 109*z, 5*q - 4*z = 8 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 6*f - f - 50. What is the remainder when 39\/2*(3 + -1) is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 2\/29 - 41\/174. Let m = -294542 - -294545. What is the third smallest value in -5, m, s, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 113, 105, 95, 83, 69?\n\"Answer: -t**2 - 5*t + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((l**0\/l)\/(l\/((l\/(l\/(l*l**(3\/4))))\/l)*l))**(6\/17))**(-2\/5))**(-32) assuming l is positive.\nAnswer: l**(-864\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.5 - -1. Let f = y - 0.9. Let m = 2.5 - 2. What is the second smallest value in f, m, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*g = 5*l + 136, -17*g + 0*l - 6*l + 7*l - 920 = 8*g for g.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 6.25537 rounded to two dps?\nAnswer: 6.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 6 and 16670?\nAnswer: 50010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*p**3 - 44*p + 7*p**2 + 44*p + (3 + 0 - 1)*(-p**3 + p**3 - 2*p**3) + 2*p - 2*p - p**3 to v*p**3 + k*p + d*p**2 + m and give d.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -66710, -67239, -68680, -71489, -76122, -83035, -92684, -105525?\n\"Answer: -76*m**3 + 3*m - 66637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Add together -1 and 1.8.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2195*o - 2194*o = 9491. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 449 - 1101. Let d = -758 + f. What is d rounded to the nearest 100?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*z = -0*z - 15. Suppose 2*r = z*j - 13, -3*r + 0*r - 9 = -j. Solve -v = -j*v + 10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:05 AM and 2:39 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = -554*t. Let n(c) = 42*c + 48*c + 74*c - 168*c. Give n(r(i)).\nAnswer: 2216*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -3355 and -49.4?\nAnswer: 3305.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 1006, 2087, 3226, 4423?\n\"Answer: 29*i**2 + 994*i - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*c = 25, -r - 2*c + 1 = 2*r. Let g = -2486 + 2490. What is the closest to -0.2 in r, g, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -1587*f + 1541*f + 2162. Solve 53 = -25*c - f for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 352 - 352.1. Let n = -34 + 33.8. Which is the closest to p? (a) -14 (b) n (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -486, -1945, -4376, -7779, -12154, -17501?\n\"Answer: -486*g**2 - g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = 299*h. Let g(t) = 10*t. What is 91*g(v) - 3*o(v)?\nAnswer: 13*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z - 5 - 15 = 0. Suppose 5*r = 1 - 16. Suppose -5*o + 5 + 5 = 0. Put z, o, r in increasing order.\nAnswer: z, r, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 7*c - 97*c + 8*c**4 + 39 - 6*c**4 + 184 with respect to c.\nAnswer: 8*c**3 - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = a**3 - 2*a**2 - 4*a + 15. What is q(3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o = 47637.99966839 + -47638. Round o to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.7 times -0.05\nAnswer: 0.035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) be the second derivative of q**4\/12 - 2*q**3 + 4*q**2 + 247*q. Give a(7).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -1529, -3066, -4605, -6146, -7689?\n\"Answer: -n**2 - 1534*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.6, -2, -1, 5 in ascending order.\nAnswer: -2, -1, 0.6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m\/((m*m**(1\/12))\/m)*m*(m*m**6*m)\/m)**36 assuming m is positive.\nAnswer: m**321","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose a**2\/7 - 1622*a\/7 + 1155 = 0. What is a?\nAnswer: 5, 1617","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i = -41 - -37. Let u(q) = -2*q + 1. Let s(a) = 12*a + 4. Let m(w) = 8*w + 3. Let g(p) = 7*m(p) - 5*s(p). Let k(r) = i*g(r) + 9*u(r). Give k(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -8 + (2 + -4 - (-12 + 20)) + -2?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) be the third derivative of 0*v + 1\/8*v**4 + 1\/120*v**6 + 1\/6*v**3 + 0 - v**2 + 1\/12*v**5. What is j(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 95, 110, 115, 104, 71, 10, -85?\n\"Answer: -k**3 + k**2 + 19*k + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 560 minutes before 5:11 AM?\nAnswer: 7:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 162, 164, 166, 168, 170?\nAnswer: 172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 88446025.\nAnswer: 5, 3537841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -3\/5? (a) 0 (b) 0.1 (c) -175\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*c + 3*c + 432 = 0. What is the lowest common multiple of c and 1?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 165287 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n = 28 - 36. Let r = 2.9 + -3. Which is greater: n or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2071829362?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(180)\/sqrt(10) + -2*(sqrt(2) + -1 + sqrt(2)) - sqrt(4)\/((sqrt(2) + sqrt(2)*-2)*5).\nAnswer: -4*sqrt(2)\/5 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 q and 1 k when two letters picked without replacement from {j: 1, q: 1, n: 4, x: 3, k: 1, c: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i = 218 + -217.9865. Let u = i - -0.0612. Round u to 2 dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0 - -4. Let v = 9 + -41.8. Let l = v + 35.8. What is the second smallest value in z, l, -1\/4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or 332\/30991?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yhry when four letters picked without replacement from {j: 4, y: 4, r: 2, g: 2, h: 1, w: 2}?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let r be -3 + 2 - (3 - 28). Let d(k) = -24 + r + 8*k. Let t(l) = -4*l. What is t(d(j))?\nAnswer: -32*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -246 or 34?\nAnswer: -246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 5 and 0.084304?\nAnswer: 0.42152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 11794810?\nAnswer: 2, 5, 647, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -15519, -31039, -46559, -62079, -77599?\n\"Answer: -15520*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x = 1 + -0.7. Let r = 10 - 12.4. Let t = -0.6 + r. What is the second smallest value in x, 3, t?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = m**3 - 4*m**2 - 10*m + 9. Let y be b(6). Suppose -7 - y = t. Find the common denominator of 29\/11 and (-85)\/t + 2\/8.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is seven halves of a gram in milligrams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -85\/40560736 and 45\/112.\nAnswer: 283925152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose o - 2*o + 1 = 0. Let w be (26 + -28)*(-7)\/2. Calculate the highest common factor of o and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 14429 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 10101101 - -1010011?\nAnswer: 100000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*w - 8, 5*w = -2*f + 5 - 21. Let t be (22\/88)\/(f\/112). Solve 4*a - 2 - t = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 353\/35 - 65\/7. What is the nearest to -0.5 in -1\/2, -2\/13, 5, g?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 29 = -2*g + 27 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v = 50 + -51. Which is the closest to -2\/5? (a) v (b) 5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 977 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: What is the least common multiple of 26 and 5120?\nAnswer: 66560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 40, 33, 36, 55, 96, 165?\nAnswer: 268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = r**2 + 9*r - 4. Let w be h(-10). Let z be (-1 + 51)*w\/4. Suppose 0 = 5*n - 0*n - z. Is 5 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = -3*w + 1. Let m be s(-1). What is the closest to -1 in -0.3, m, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = 6*j**2 + 3*j - 4. Calculate c(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 35305 and 739870?\nAnswer: 1535","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = -7*a**2 + 15*a + 4. Let g(y) be the second derivative of y**4\/2 - 7*y**3\/3 - 3*y**2\/2 - 606*y. Calculate 6*g(q) + 5*j(q).\nAnswer: q**2 - 9*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) be the third derivative of -3*i**4\/8 + 9*i**2 - 1390. Let x = 0 - 1. Determine u(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 2146 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l + 10 = g, 4*g - l = 16 + 24. What is the second derivative of 16*x**5 - 20*x - 61*x - 12*x - 44*x**5 + g*x wrt x?\nAnswer: -560*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -2700 divided by -5\nAnswer: 540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t = -248 + 262. Sort 18, t, 0.3.\nAnswer: 0.3, t, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*b**5\/2 + 287*b**4\/4 - 1041*b**3 + 6033*b**2\/2 + 43301*b\/2 + 14079\/4 = 0 for b.\nAnswer: -3, -1\/6, 13, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate (32\/(-82)*15\/420*-7)\/10.\nAnswer: 2\/205","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0628601ml in litres?\nAnswer: 0.0000628601","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 253663773?\nAnswer: 3, 11, 1213, 6337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -2\/7 (b) 4 (c) 2\/3 (d) -136 (e) 9339\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 d when three letters picked without replacement from dddwddddddwddwwdddw?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -10 (b) -2\/5 (c) -421\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 52118 is divided by 26047?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express (3*a - a - 4*a + (3 + 1 - 2)*(-20*a - 22*a + 38*a))*(-3 - 2 + 2) in the form s*a + y and give s.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + sqrt(17) + sqrt(136)\/sqrt(8) + -2 + sqrt(17) + (sqrt(17) - sqrt(68)) + -2)**2*3.\nAnswer: -60*sqrt(17) + 279","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 12902978*c**3 + 601214*c**2 + 4*c wrt c.\nAnswer: 77417868","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ttdgtzbggtetg. Give prob of sequence gbgd.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) = -3*v + 23. Let u be c(7). Solve -u = -4*i + 6*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*p - 4*t - 22, 52 - 41 = -5*p - t. Let q(u) = u + 1. Let x(a) = -5*a + 4. Give p*x(r) - 2*q(r).\nAnswer: 3*r - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -427 = -5*p + 63. Let r = p - 4. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -3\/97 - -221\/873. Sort w, -5, -5\/4, -1\/7 in ascending order.\nAnswer: -5, -5\/4, -1\/7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -6\/31 - -167\/62. Sort o, -1, -2\/3 in ascending order.\nAnswer: -1, -2\/3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -48*y = -75*y + 251910. Is 109 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 404, 829, 1252, 1673, 2092, 2509, 2924?\n\"Answer: -v**2 + 428*v - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 31*z - 13538 + 2936 = 0. Calculate the lowest common multiple of 18 and z.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 3869436 and 644906?\nAnswer: 3869436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 365114040\/(-2477640) + ((-36)\/(-11))\/(-2).\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 3.5019 + -3.711. Let v = -0.192 - y. What is v rounded to 3 dps?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -56*u = -58*u - 3*w + 1642, 0 = -u - 3*w + 815. Calculate the remainder when u is divided by 172.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -57 at most as big as 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = 2*m**2 + m**3 + 3*m**2 - m + 149 - 155. Calculate k(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (22*(-53)\/(-583))\/(3*4\/(-228)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3072463348.\nAnswer: 2, 29, 43, 615971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = -k**3 + 4*k**2 - k - 4. Let b = 14 - 9. Suppose 2*g - b*v - 25 = -3*g, 5*g = v + 17. What is z(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 145703388?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l - 11 = 9. Let f = 7 - 4. Which is the biggest value? (a) f (b) 0 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = y**2 + 74. Let i(q) be the second derivative of q**6\/720 - 11*q**4\/12 + 115*q. Let l(b) be the third derivative of i(b). Calculate l(r(a)).\nAnswer: a**2 + 74","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many microseconds are there in 2.716066 milliseconds?\nAnswer: 2716.066","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:23 PM and 5:55 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 54345434461 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 803*p = 982*p - 716 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 3 - (-24)\/21*3\/(-3) and -36.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 2 + 0)*(-1 + 8 + 2)*(-1 - s + 1).\nAnswer: 18*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = a**2 + 17*a + 38. Suppose 5*n + 69 = -4*y, 2*y - 3*n + 14 = -15. What is the smallest common multiple of t(y) and 16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 99*l**2 - 58203*l - 353*l**2 + 58203*l + 118*l**2 + 116*l**2.\nAnswer: -20*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-4)\/18 - (-380)\/9?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = 9*o**2. Let f be g(1). Let b be (-1)\/(-2)*18\/f. Let d be b\/(-4) + (-119)\/(-28). What is the closest to -2\/5 in d, -1, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 117 minutes before 12:36 PM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 341135652 a multiple of 5434?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) be the second derivative of 11*n**3\/3 + 6*n**2 - 10*n. Let r be d(4). What is the highest common divisor of 25 and r?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 259801 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -1, -3, 15.\nAnswer: -3, -1, 0, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Put together -0.034 and 390859.35.\nAnswer: 390859.316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-2)\/((20\/(-6))\/5). Suppose 5*m + 3*a = 2350, f*m - 2*a = m + 924. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 497718 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*(-5 + -2*(sqrt(637) - -3*sqrt(637))).\nAnswer: -280*sqrt(13) - 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 2236650 a multiple of 806?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -235*l**5 - 176*l**2 + 2 wrt l.\nAnswer: -14100*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 543 minutes before 10:05 PM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-2)\/3)\/(72\/(-12)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*r**5\/5 + 62602*r**4\/5 - 490283056*r**3\/5 + 6366106856*r**2\/5 - 23496787392*r\/5 + 17620900992\/5 = 0.\nAnswer: 1, 6, 15644","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) 1 (b) 2\/57 (c) -14 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -33 + (-49 - -52) + 84.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 109478 a multiple of 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*z + 409 = 419 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 52215 and 185?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {b: 9, t: 3}. Give prob of sequence ttt.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y be (5436\/(-15))\/((-57)\/(-30) + -2). Suppose -2*b + 4*b = -y. Let s = 5486\/3 + b. Calculate the common denominator of 34\/9 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -10661, -1, 5, -4, 2\/2561 in increasing order.\nAnswer: -10661, -4, -1, 2\/2561, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {z: 1, p: 2, w: 1, m: 3, s: 4, n: 4}. What is prob of picking 1 z and 1 n?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/5 in -3\/308, -0.063, -0.4?\nAnswer: -3\/308","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(2744) + (sqrt(2744) - sqrt(2744)*-1) + sqrt(56))\/(sqrt(392)*-1).\nAnswer: -22*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:57 AM and 10:35 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j + q + 7 = 3*q, 0 = -3*q + 3. What is the second biggest value in -17, -0.2, j?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 9064 is divided by 395?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1100 = 5*f + 5*g, 8*g = 4*f + 5*g - 866. What are the prime factors of f?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = -4*q - 4. Let b be y(-4). Suppose 0 = 2*u - 7*u + 5*k - 1410, 0 = -3*u + k - 838. Is 2*(-3)\/b*u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 782720177?\nAnswer: 127, 6163151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {q: 11, r: 1, s: 1, p: 2}. Give prob of picking 2 q and 2 r.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r + 2204 = 5*f + 719, -4*r - 1483 = -3*f. What is the smallest common multiple of 1\/(1475\/r + 4) and 9?\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = -q**2 + 7*q - 3. List the prime factors of p(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*x - 769 = -4*n, 0 = 2*n - 165*x + 164*x - 395. Calculate the remainder when 963 is divided by n.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -18.208655132 to three dps.\nAnswer: -18.209","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 5050822?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*v**3\/2 - 49*v**2\/2 - 63*v - 36.\nAnswer: -(v + 3)*(v + 6)*(5*v + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 107, 240, 375, 512, 651?\nAnswer: 792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many days are there in 1.3026933 hours?\nAnswer: 0.0542788875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*k + 107 = -153. Calculate the remainder when k is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 192480 divided by -4\nAnswer: -48120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(-1 + (5*(sqrt(192) + 0 + 1) - -3*(-3 + sqrt(192) + 1)))**2.\nAnswer: -12292 + 256*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 10030 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-22)\/(-56)*276\/1518.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 13524*h**4 - 798*h**3 + 53180596*h**2?\nAnswer: 324576*h - 4788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 341, 1544, 3541, 6326, 9893, 14236, 19349?\nAnswer: 25226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -6 + (10 - 5) + -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence sxf when three letters picked without replacement from {b: 1, g: 1, x: 1, t: 1, f: 1, s: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} {"text":"Question: Let n = 2 - -3. Let w be -3*20\/(-12) + -2. Suppose 0 = -3*o + 2*o - 5*v - 5, 0 = n*o - w*v - 3. Solve -4*m - 12 = 5*z, -z + 12 = -4*m - o*z for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:02 PM and 12:31 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = -11*n**2 - 1. Let l(p) be the second derivative of 5*p**3\/6 + 7*p**2\/2 - 3*p + 41. What is u(l(t))?\nAnswer: -275*t**2 - 770*t - 540","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 5064818 a multiple of 451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2123?\nAnswer: 11, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w be -7 - (29\/(-1) - -15). Let h(b) be the second derivative of b**3 + 11*b**2 + b. What is the units digit of h(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = 6*k + 14. Let b be t(8). What are the prime factors of (4 - (1 - 2))*(0 + b)?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) = -2*n - 4. Let k be w(-4). Let s(r) = -10 + 19 - 4 - k. Let l(y) = 5*y - 6. Let b(c) = -l(c) - 6*s(c). Calculate b(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 960.2207 centuries?\nAnswer: 1152264.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v = 4 + -6. Let s = -6 + 6. Put s, 3, v in decreasing order.\nAnswer: 3, s, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 a and 1 g when two letters picked without replacement from {f: 10, a: 2, e: 1, l: 2, g: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -8*b**3*l**2 + 73*b**3*l - 2*b**2*l + 5*b*l**2 - 19 wrt b.\nAnswer: -48*l**2 + 438*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m = 4.4 - 4.5. Which is the nearest to -0.9? (a) 4 (b) m (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10 a factor of 523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 31148.\nAnswer: 2, 13, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -1\/3, -4, -4.7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r = 19 + -19. Suppose -8*t + 40 = -r*t. What is the nearest to -2\/7 in -4\/3, t, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -1 + 4 - 5 - (-3 - -5)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 1 divided by 154?\nAnswer: 1\/154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j be 12\/(-18) - 163\/3. Let n = 83 + j. Suppose l = -l + n. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = 4*g**2 - 3*g - 2*g - g - 3. Let q = 0 - -17. Let c(s) = -s + 9 - q + s**2 + 7. Determine -5*c(o) + d(o).\nAnswer: -o**2 - o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) be the first derivative of -j**3\/6 + 4*j**2 + 18*j - 1. Let o(w) be the first derivative of t(w). What is the least common multiple of o(-12) and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: (130 + -100 - (-2 + -35)) + 12\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) be the third derivative of 53*j**7\/105 - 17*j**4\/8 - j**3\/6 - j**2 + 48. What is the second derivative of w(l) wrt l?\nAnswer: 1272*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.5 and 0.062?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = z**2. Let s(l) = 22*l - 44*l - 9 + 27*l. Calculate t(s(p)).\nAnswer: 25*p**2 - 90*p + 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = x + o - 4 - 61, 5*x - 313 = o. Let l be 3\/(x\/7*(-2)\/(-24)). Solve l*v = 8*v - 8 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = 2*s + 5. Let p(d) = -d - 2. Let c be 1\/2 + (-12)\/(-8). Let n(f) = c*j(f) + 5*p(f). Determine n(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 13043 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c = -170 + 117. Let f = -38.6 - c. Let h = -1.6 + f. What is h rounded to zero dps?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 6 - 2. Suppose -13 = 2*q + 5*h, -y*q + 8*q + 2*h = 14. What is the highest common divisor of q and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = 1502*c. Let v(y) = -23*y. Give v(a(p)).\nAnswer: -34546*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y = -1 - 3. Let l be 1\/(1*(-1)\/3). Let c be (l\/2)\/((-3)\/10). Solve c*s - 3*s + y = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -28*a - 174429 = -174765 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express (23*x - 196 + 196)*(5*x**2 - 2*x**2 - 4*x**2) - 6*x**3 + 12 - 9*x**3 + 20*x**3 + 5*x**2 - 3*x**3 - 5*x**2 as n*x**3 + f*x**2 + u*x + r and give r.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0123 - 6628?\nAnswer: -6628.0123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = -2*s**3 + 6*s**2 + 5*s. Let c(y) = -4*y**3 + 11*y**2 + 11*y + 1. Let g(q) = 6*c(q) - 10*h(q). Factor g(z).\nAnswer: -2*(z - 3)*(z + 1)*(2*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*h**2\/2 + 90*h.\nAnswer: 3*h*(h + 60)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -60655*b**3 + 20226*b**3 + 20212*b**3 + 20202*b**3.\nAnswer: -15*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from nnnnnnnnnn. Give prob of picking 4 n.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-4)\/(-6) + 228\/9. Suppose -8*v + 3*x = -4*v - 35, v - h = -5*x. List the prime factors of v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = j**2 - 18*j. Let x(r) = r**2 - 2*r. Let n(g) = -s(g) + 8*x(g). Let y(a) = a**2. Give -n(o) + 3*y(o).\nAnswer: -4*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*t - 2448 = -2427 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**(-13)*k**(-46\/5))\/(k**(6\/5)\/((k*k**(-2))\/k**(-1\/4))) assuming k is positive.\nAnswer: k**(-483\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} {"text":"Question: Let v = -166 - -171. What is the second biggest value in v, 5\/4, 4, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -202*h + 197*h + 18*j + 16 - 45 = 0, 2*j = h + 1 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (6\/(-4))\/(-1)*(-8)\/42.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u*u**(10\/9))\/u*(u*u*u**(-13)*u*u)\/u*(u\/((u*u*u*(u*(u*u\/((u\/u**2)\/u))\/u*u*u)\/u)\/u*u))**(-33) assuming u is positive.\nAnswer: u**(1999\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 162 = 114*a - 132*a for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {r: 1, g: 3, n: 3, w: 3, d: 4, f: 1}. What is prob of sequence nr?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 50430?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 33b331 (base 14) in base 3?\nAnswer: 10022101121222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u = 10 - 10. Solve u = -2*o - 3*w - 15, 0*o - w - 5 = -2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = -4*r**3 - 26*r**2 + 12*r + 9. Let z(q) = q**3 + 2*q**2 - 4*q - 2. Determine w(p) + 3*z(p).\nAnswer: -p**3 - 20*p**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: (2 + (-12)\/7)*(-98)\/70\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 19042 - 19038. Determine i, given that -26\/5*i**2 + 2*i**m - 2\/5*i**5 + 16\/5*i + 24\/5 - 6\/5*i**3 = 0.\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 10318 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w be 57\/285 + (-18)\/40. Let r be (-1 + 2)*(-50)\/10. Let n = -0.3 - 0.2. Sort w, n, -0.4, r in decreasing order.\nAnswer: w, -0.4, n, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 34 = 2*n + 3*v, 5*n - 25 - 39 = 3*v. Suppose n = -9*m + 50. Let w = -2 + 3. Which is the nearest to 0.1? (a) w (b) m (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -52224 + 99874. What is s rounded to the nearest 1000?\nAnswer: 48000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5106386291 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = 9 + 2*w**2 + w**2 - w**2 - 14*w + 0*w**2. Let l be n(13). Suppose l = -a + 6*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of ((-1*2\/(-6))\/(-3))\/((-7840)\/4956) and -49\/4.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1717, 692, -331, -1352?\nAnswer: -2371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 26*o = 27*o - 7, -11*w + 2*o = 37760814. Round w to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be -2 - -4 - (0 + 2). Suppose b = 5*f + 1 - 6. What are the prime factors of (((-12)\/16)\/1)\/(f\/(-140))?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -161 divided by -4?\nAnswer: 161\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is (-20)\/(8\/2) + 48\/9?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 4068624?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1248)\/39 - (-51 - 6)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*u - u - 142000. Round u to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from lngmhkl. Give prob of sequence gl.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {f: 7}. What is prob of picking 4 f?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Factor -w**5\/3 - 56*w**4\/3 + 116*w**3\/3 - 2*w**2\/3 - 115*w\/3 + 58\/3.\nAnswer: -(w - 1)**3*(w + 1)*(w + 58)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 8 + -3 + (-7 - 2 - 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1636009?\nAnswer: 1636009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 8 and 32\/3*(-6 + 16 - 4).\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 f and 1 o when two letters picked without replacement from {z: 6, h: 6, b: 1, f: 3, o: 1}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand -5*l + 0*l + 6*l + (-3*l - 2*l + 3*l)*(-5 + 2 + 1) + (1 + 1 - 1)*(-14*l - 5 + 5) + 5*l - 3*l - l + (-4 + 4 + 1)*(l - 2 + 2).\nAnswer: -7*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v be 2\/(-4) - 7288\/16. Let s = -889\/2 - v. What is the common denominator of s and (-7)\/56*26\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -94 + 416 = 7*c. Suppose 4*y - 38 = c. What is the third derivative of -29*t**2 + 52*t**2 - y*t**2 + t**6 wrt t?\nAnswer: 120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3817*d**2 + 1929*d**2 + 1113*d**2 + 8302*d**2 + 8083*d**2)*(-4*d + 3*d + 0*d).\nAnswer: -23244*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2320*y + 1149*y + 1171*y + y**3.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = g + 3. Suppose 20 = -2*f - 3*j, f + 3*j = 2*f + 1. What is x(f)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: (6\/(-27))\/(16\/(-504))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -8206b2 (base 13) to base 14\nAnswer: -58ba25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -100\/9 (b) -5 (c) 1\/6 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round 497564.98 to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4655\/(-798) + (-10455)\/(-1800).\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -49 + 115 + (-27 - 10).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = -33*w. Let k(v) be the second derivative of -35*v**3\/3 - 1168*v. Determine h(k(x)).\nAnswer: 2310*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from bmqqbbbq. Give prob of sequence mqqq.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is (-5 - (3 + -4 - 6)) + 7?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = 323*g**2 + 12*g + 11. List the prime factors of p(-1).\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (6\/(-18))\/((-22)\/(-6)) and -44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 141728 and 3188880?\nAnswer: 6377760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = y**3 + y**2 - y - 1. Let g be m(-2). Let x be -3 + (2\/6 - g). Determine n, given that -1\/3 - x*n**2 - 2\/3*n = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*((sqrt(171) + -1)*-6 + -2) - ((sqrt(171) + 1 + sqrt(171))*-6 + sqrt(171)*1 + sqrt(171) + -1))**2*-4.\nAnswer: -3636 + 720*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s - 174 = -3*v - 0*v, -s - 3*v = -54. Let y = 85 - s. Suppose 4*n - 97 + y = 0. What is the lowest common multiple of 22 and n?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4762013 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1149873432.\nAnswer: 2, 3, 29, 419, 3943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = k**2 + 16*k + 65. Let f be o(-6). Suppose 0*j + f*l = -j - 2, -4*j + 3*l = -15. Solve 7 = j*r + 10 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 207\/50 + -66\/25. Which is the nearest to 0? (a) 4 (b) 3 (c) -0.5 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 1724 divide 142924772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 45 + r**2 + 2*r**2 + 62 + 13*r**3 - 107.\nAnswer: 13*r**3 + 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Work out -667 * 225170.\nAnswer: -150188390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*s - 2*s + 10. Suppose 2*p = -u - 24, -s*u - 51 - 7 = 2*p. Let x = u - -58. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -15*k - 13*k + 46*k - 20*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n = -5 - -20. Let b = -4 - -7. Suppose 0 = -5*l + b*l + 8. Solve -4*v - l*r + 20 = -v, v - n = -3*r for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together 307926 and 704076.\nAnswer: 1012002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 0 - 11?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 10677 to the power of 1\/2, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 21800664 to the power of 1\/3, to the nearest integer?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1225184 is divided by 19761?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*m**2 - 1008235484*m - 127067348899589282 = 0 for m.\nAnswer: -252058871","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = -2*a + 2. Let h(g) = 2*g - 2. Let n(l) = -2*h(l) - 3*p(l). Let b(o) = 6290071 + 0*o - 6290072 + 2*o. Calculate 6*b(z) - 5*n(z).\nAnswer: 2*z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 2835, 2836, 2837?\n\"Answer: v + 2834","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 340*p = 401*p - 183 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*z + 33*y - 32*y = -12, -2*z + y = 8 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1358 and 518.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 20 a factor of 2\/(-4)*(17 - 57)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = -v**3 + 4*v**2 + 11*v - 10. Give y(6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = -9*q - 17. Let f be g(-3). Let t be (-2 - -1)\/(f + -9) - 8. Sort t, 3, -4, 4 in decreasing order.\nAnswer: 4, 3, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w**3\/2 - 5625*w**2 + 1991772*w = 0. What is w?\nAnswer: 0, 366, 10884","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*v = 3*h + h + 195, -4*h - 5*v - 165 = 0. Which is smaller: h or -44?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*s + 10*q - 8*q - 16 = 0, -3*s - 8 = -5*q. Suppose 2*x = a + 12 - 7, 4*x - 16 = s*a. Solve -19 = -4*o + x for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 34*u - 14*u - 18*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l = 10 - 5. Let o = 42 - 30. Suppose -l*a + o = -4*a. What is the smallest common multiple of a and 22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 224381a4a + 3?\nAnswer: 224381a52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((-6*sqrt(99)*3 + sqrt(99))*6 + 0)*4)**2.\nAnswer: 16479936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 1658411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*x + k + 16, -x - 88 = -2*k - 93 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 6*(-234)\/116 - (225 - 251) - 2*7?\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) be the first derivative of -f**3\/3 - 17*f**2\/2 - 35*f - 10270. Calculate j(-15).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {e: 1, q: 1, o: 2, a: 2, n: 1}. Give prob of picking 1 o and 1 a.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = -8*m - 2. Let w be u(-7). Let l = w - 20. Round l to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) = 99*f. Let s(i) = 29*i**2 - 13328 + 13328. Give s(p(a)).\nAnswer: 284229*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -270, -820, -1638, -2724?\nAnswer: -4078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-4)\/(-6))\/((-59)\/(-1770)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Factor c**3 + 5914*c**2 + 11824*c.\nAnswer: c*(c + 2)*(c + 5912)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5 + 5 - 8*i**5 - i**5 + 0*i**5 + 2*i**5 + (-3*i + 3*i + i**5)*(0 - 3 + 1))*((-2 + 2 - 2)*(-3 + 2 - 1) + 1 - 2 + 2).\nAnswer: -45*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 109354 and 3367.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m\/m**9*m*m*m*m\/(m\/((m**(2\/29)*m*m)\/m))*m*m)**(-24)\/((m*m\/(m**(-1)*m)*m)\/m**5*(m**2)**(-12)) assuming m is positive.\nAnswer: m**(2098\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate (5 - (-1 + 6)) + (-1 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 13210 (base 4) to base 3\nAnswer: 122221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 270, 533, 796?\n\"Answer: 263*y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 21*y**3 + 10*y**2 - 19*y**3 + 6*y**2.\nAnswer: 2*y**3 + 16*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + ((sqrt(240) + -1*sqrt(240))\/sqrt(8))\/(sqrt(6) - ((-2*sqrt(864) - sqrt(864)) + sqrt(864) + sqrt(6))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 32353945 to the power of 1\/2, to the nearest integer?\nAnswer: 5688","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d = -391 - -406. Suppose 0 = -d*p + 54 - 144. Suppose 7*h - 11 = 3*h + 3*j, j + 8 = -3*h. What is the second biggest value in h, p, -1\/4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 629*z - 317*z - 317*z.\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = -114*r**2 + 19*r - 12. Let s be o(12). Round s to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1 + 1 + -20 + 17?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 4, 6, 4, -2, -12?\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*n + 41 + 1. Calculate the remainder when (-237)\/(-6) - 2\/(-4) is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -41*a = -47*a - 4*b + 3774, 0 = -5*b + 30. What is the highest common factor of 75 and a?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 132 in -2, 0.1, 3, 1, -4\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3 - (-1 - -2)) + -5 + -2.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2576 - 5144 + 2568 - 4*s**3.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -8708985146 - -9?\nAnswer: -8708985137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*b + 5*x - 9*x + 12, 2*b - 6 = 4*x. What is the least common multiple of b and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence px when two letters picked without replacement from {g: 4, s: 2, x: 4, p: 4}?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -127\/150 and -91\/21375.\nAnswer: 42750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -3? (a) -5 (b) -165 (c) 0.4 (d) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from mllzullusuululluuzzh. Give prob of picking 1 z, 1 l, and 1 h.\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort -7, -58, -5, -1695 in ascending order.\nAnswer: -1695, -58, -7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 1\/(-20)*11040\/(-92)*((-7)\/(-12) + 0)\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Put 927, -1.5, 3, 8, 3\/8, -3 in increasing order.\nAnswer: -3, -1.5, 3\/8, 3, 8, 927","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w = 521\/2 + -17197\/66. Sort -2\/7, -31, w in ascending order.\nAnswer: -31, -2\/7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.58 + 0.28. Let a = -0.2 - 0.3. Let s = g - a. Put 3, s, -4 in descending order.\nAnswer: 3, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = 6511*y - 34. Let k be q(-6). What is k rounded to the nearest 1000?\nAnswer: -39000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 3 (b) 0.23 (c) 2\/13 (d) 2 (e) -0.1 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = b**2 + 156*b - 17267. What is m(75)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = 43*i**2 - 12*i - 26. What are the prime factors of t(-4)?\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -144 divided by 3\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 1 (base 9) to base 13\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1811485 is divided by 2891.\nAnswer: 1719","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose i + 3*r + 208 = 5*i, 4*i + 4*r = 236. Is 15 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2224*a**3*o - 2*a**3 + 7*a**2*o - 99*a**2 - 103421*a*o + 106*a wrt a.\nAnswer: 13344*a*o - 12*a + 14*o - 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {h: 4, i: 2}. Give prob of picking 2 h.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c + 0*c + 60 = m, 5*c = -2*m + 185. What is the remainder when m is divided by 29 + (-20)\/5 + 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 458500 and 140.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = -g**3 + g**2 - g - 1. Let d = 31 + -34. Let f = -2 + 1. Let w(q) = 4*q**3 - 2*q**2 + 3*q + 3. Let s(c) = d*h(c) + f*w(c). Find u such that s(u) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 236340 and 15158?\nAnswer: 137786220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = 5*g**3 - 6*g**2 + 6*g - 1. Let i(m) = m**3 - m**2 + m. Let x(l) = 30*i(l) - 5*p(l). What is the derivative of x(d) wrt d?\nAnswer: 15*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in 0.06, 0, -778165?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 19 divided by -170?\nAnswer: -19\/170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 21 - 23 - (2 + -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*b - 12 = 5*j, 36*j - 16 = 40*j - 4*b. Suppose j = 3*f - 3*o + 15 - 0, 4 = o. Sort -4, 4\/5, f, -1\/2 in descending order.\nAnswer: 4\/5, -1\/2, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.274? (a) -1511 (b) -1.7 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f = -3 + 86. Suppose 78 = 4*s - 10. What is the remainder when f is divided by s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b = 5*b - 15. Let v(f) be the third derivative of 11*f**2 - 1\/120*f**6 - 1\/12*f**4 + 0 + 1\/6*f**3 + 1\/12*f**5 + 0*f. Give v(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -365\/33 - -107\/11. What is the closest to 1 in 0.031, 3, 5, p?\nAnswer: 0.031","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 284963213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + (-3 + ((sqrt(325) + -1 + sqrt(325))*-4 + 1 + sqrt(325) + 0)*-5)**2.\nAnswer: -9800*sqrt(13) + 398912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = 3406*f**2 + 31*f - 769. Let j(r) = 3407*r**2 + 37*r - 770. Let s(b) = -5*j(b) + 6*k(b). Find the second derivative of s(c) wrt c.\nAnswer: 6802","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m = -4*f - 1029, 0*f - 5*f = -20. Suppose 5*j + 103 = 2*g - g, -3*g + m = 5*j. Calculate the remainder when g is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1674?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) be the first derivative of -3*k**5\/5 - k**4\/6 + 14*k**2 - 44*k - 36. Let c(x) be the first derivative of o(x). What is the derivative of c(j) wrt j?\nAnswer: -36*j**2 - 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 1244, 1237, 1224, 1205?\n\"Answer: -3*q**2 + 2*q + 1245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = -v. Let p(q) = 10*q**2 - 9*q**2 - 27*q**2. Let c(s) = 446 - 9*s**2 - 446. Let g(a) = -17*c(a) + 6*p(a). Give g(f(j)).\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = -r**3 + 6*r**2 - 13*r + 11. Let z be x(5). Let q be (-1 - -2)*(z - -16). Sort 2, q, 1, -1 in decreasing order.\nAnswer: 2, 1, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*r = -13*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -173\/37506 and 59\/56.\nAnswer: 150024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 0.1*21.7\nAnswer: 2.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 18 - 1670156?\nAnswer: -1670138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c**(-3\/20)*c)\/((c*(c**(-6\/7)\/c)\/c*c)\/c))**41 assuming c is positive.\nAnswer: c**(15539\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -22*n**2 + 28*n**2 + 31*n**3 + n**5 - 3*n**2 + 38*n**2 wrt n?\nAnswer: 60*n**2 + 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 2*(14\/4 - 2). Let l = 2 + v. Let n(g) = l - 5 - 2*g. Let c(w) = -w. Calculate c(n(u)).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from tetneggbeibgt. Give prob of sequence bt.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1371790414?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3 + (-4)\/1 + 0\/(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2*q**2 - 9 + 9)*(-86*q + 112*q - 155*q) + (3 - q - 3)*(9*q**2 - q**2 - 4*q**2) to l*q**3 + x + a*q**2 + h*q and give l.\nAnswer: 254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 276, 1489, 4788, 11217, 21820, 37641?\n\"Answer: 174*s**3 - s**2 - 2*s + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -2.464528 rounded to 3 decimal places?\nAnswer: -2.465","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand 1 - 17*q**2 - 20*q + 43*q - 21*q + (-101 - 36 - 9)*(q**2 - 2*q**2 + 3*q**2).\nAnswer: -309*q**2 + 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b = -1.0182 - 0.0238. Let o = 0.96 + b. Let v = o + 0.0871. Round v to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many microseconds are there in 5.129884ms?\nAnswer: 5129.884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 376003246?\nAnswer: 2, 17, 181, 61099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let l be 12\/(-8)*300\/9. Let r be l\/(-4 - (-7)\/((-63)\/(-30))). Suppose -240 = -5*v + 5*p, 3*v - 5*p - r = 61. Calculate the greatest common factor of 39 and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1)\/483*-42 + ((-2)\/4)\/((-253)\/18678).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -67\/65 and 21\/320.\nAnswer: 4160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0613342289 rounded to 5 decimal places?\nAnswer: -0.06133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 45 a factor of 31229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1.8 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is -113318 equal to -113318?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b = -34 + 99. Suppose -4*i = -3*t + 626 - 185, -4*t + 575 = -i. What is the highest common divisor of t and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 224 divided by -8?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.0459 + 0.038. Round z to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) be the second derivative of 43*o**3\/6 + o**2 - 2*o - 23. Let m(f) = 2*f**2. Calculate m(b(q)).\nAnswer: 3698*q**2 + 344*q + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express (-f**2 - 3*f**2 + 5*f**2)*(1 + 12 - 2) + (3 + 2*f - 3)*(-2*f + 0 + 0) as i*f + y + a*f**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 69623.27 litres?\nAnswer: 69623270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 2470 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f + 14 = -3*w, 1 - 9 = w - 2*f. What is the first derivative of 13*s**2 + 45 - 3*s**w - s - 6*s**2 wrt s?\nAnswer: 8*s - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = 4*n**3 - 8*n**2 + 5*n - 21. Let q(z) = -9*z**3 + 14*z**2 - 10*z + 40. Calculate -5*l(f) - 3*q(f).\nAnswer: 7*f**3 - 2*f**2 + 5*f - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*d - 0*d - 6, 0 = 3*k + 2*d - 12. Suppose -k*v = -4 - 4. Suppose v*w - 51 = -3. Solve 4*p = 5*p + c - 3, 4*p - w = 3*c for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 0.325 from 24.\nAnswer: 23.675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -64070174 divided by -4\nAnswer: 32035087\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = -2*k - 1. Let r be a(-6). Let p = 11 + r. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gax when three letters picked without replacement from {x: 3, a: 3, z: 1, h: 2, g: 1}?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 1c3d64 - -9?\nAnswer: 1c3d6d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:53 AM and 8:21 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 157.5822 millennia in years?\nAnswer: 157582.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -0.3 times 4.8\nAnswer: -1.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p = 799 - 802. Put 0.14, p, -5 in increasing order.\nAnswer: -5, p, 0.14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-24)\/(-18) - 2\/(-3). Let h(y) = -8 + 3 - 8 + y**2 + c - 6*y. Calculate h(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -157, -81, 45, 221?\nAnswer: 447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1.7 in -5\/6, 1\/3, 1, 5?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*(sqrt(70) - (sqrt(70) + -2*sqrt(70)))\/sqrt(10))**2 - (0 + 0 + sqrt(1008)).\nAnswer: -12*sqrt(7) + 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 72*17258.18.\nAnswer: 1242588.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -2, -6, 1580, 1 in descending order.\nAnswer: 1580, 4, 1, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 76565 at most as big as 76565?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -6329*g*q + 84200285*g + 3648*q**2 wrt q?\nAnswer: -6329*g + 7296*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = -93*h. Let n(d) = -13*d. Give r(n(y)).\nAnswer: 1209*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 237656?\nAnswer: 2, 61, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 74921 and 147?\nAnswer: 224763","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2267283, 4534558, 6801835, 9069114, 11336395, 13603678, 15870963?\nAnswer: 18138250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((h*h\/h**(-1\/7))\/h)\/h)**(-3\/4)*(h\/h**(-1))**(-2\/53))**(-1\/21) assuming h is positive.\nAnswer: h**(271\/31164)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*p - 12*p - 32 = 0. Solve -3*a = a + p for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -40 = -3*m + 4*o, 5*m + 126*o - 128*o - 34 = 0. What is the remainder when 281 is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 92.1115l to millilitres.\nAnswer: 92111.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.5, 1\/2, -5, 510, 7 in descending order.\nAnswer: 510, 7, 1\/2, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) be the first derivative of m**6\/6 - 3*m**5\/5 - 5*m**4\/2 - 2*m**3\/3 + 9*m**2\/2 + 5*m + 340. Determine x, given that c(x) = 0.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find q, given that -20*q**5 + 459975*q**4 + 10705195*q**3 + 807630*q**2 - 42820460*q - 10590120 = 0.\nAnswer: -23, -2, -1\/4, 2, 23022","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {j: 4, w: 2}. Give prob of sequence jjj.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -0.2 times -0.67\nAnswer: 0.134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -127\/4956 and 117\/20?\nAnswer: 24780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -n = 3*f + 1, -6*f - 24*n + 19*n - 14 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-131)\/2*6*2\/3. Let f = -157 - c. Calculate the greatest common factor of 21 and f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 7247807 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(270)*5)\/(sqrt(6) + sqrt(48)\/(sqrt(8) - 3*sqrt(8))).\nAnswer: 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = -i**2 + 5*i - 13. Give t(12).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = n + i - 45, -i = -0*n + 2*n - 85. Let j be 6\/(-10) + 18*(-56)\/(-80). Let s be j\/(-4)*32\/(-12). What is the greatest common factor of s and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-3)\/20)\/((-24)\/(-48))*2.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l be 3\/(3 - 18\/8). Let v(x) = 2*x - 8 + 12 - l. Let t(z) = z. Give v(t(u)).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = o**3 + 6*o**2 + 4*o + 2. Determine g(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort -12, -400, 585.\nAnswer: -400, -12, 585","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 8310?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 5 and 445.\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r = -16047 + 15982.53. Let v = 1.47 + r. Let u = -63.1 - v. Round u to zero decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 85820327 divided by -71.\nAnswer: -1208737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 4928 - (-8)\/((-16)\/(-22))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = -53*b**3 - 3*b**2 + 3*b - 1. Calculate q(1).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 4603810 a multiple of 151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = 2*i**3 + 3*i**2 + 11*i + 3. Suppose -17*c - 34*l + 37*l = -42, -4*c + 4*l = 0. Let h(r) = -r**2 - 1. Determine c*h(x) + m(x).\nAnswer: 2*x**3 + 11*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 58379874 to the nearest integer?\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 2 - 2)*(-3 - 6 + 1)*(-v + 2 - 2)*(2*v**2 + 0*v**2 + 0*v**2).\nAnswer: 16*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is (-1 - 1 - (2 + -4)) + -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p = -8006\/23 + 348. What is the closest to 0 in 1, -4, p, 22?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 2\/9*(4 + 132\/(-24)). Which is the third smallest value? (a) m (b) 0 (c) -2\/5 (d) -1\/12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine p so that 5*p**2 - 2265*p + 4510 = 0.\nAnswer: 2, 451","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -1923, -1916, -1909, -1902, -1895, -1888?\n\"Answer: 7*t - 1930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence eyey when four letters picked without replacement from {y: 3, e: 4}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = -2*g + 31. Let w be n(12). Let l(o) = 14*o**3 + 3*o**2 + 2*o - 8. Is l(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (27\/90)\/((-11)\/(-55)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.7 - 0.6. What is the third smallest value in 2\/7, 2\/9, r?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 36154877 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -17? (a) -0.1 (b) -1\/9 (c) -4 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 2416518 and 10776?\nAnswer: 9666072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 4783592071 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2987.\nAnswer: 29, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 43537952 to the nearest integer?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -9 in 1\/2, -1\/6, -0.1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*l - 3*k - k = 116, -4*l - 10*k = -102. Calculate the remainder when 181 is divided by l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-2)\/(-4) - (-26)\/(-4). Let c be 5 + 33\/h - -1. Factor -1 - c*j**2 + 3\/2*j.\nAnswer: -(j - 2)*(j - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -401542, -401543, -401544, -401545?\n\"Answer: -i - 401541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 16 in -3, -6\/11, 0.15, -0.3?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-6 + (-39)\/(-3))*408\/14. Let r = -199 + k. Calculate the greatest common divisor of r and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -79\/1092 - 1\/91. Let y = -8 + 8.3. What is the nearest to y in -0.3, 5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1*1\/(-2)*1020\/3315?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (2279209\/(-1358) + (-1)\/7)\/(3\/(-76))?\nAnswer: 2, 3, 19, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (76\/494)\/((-14)\/(-26))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 8 a factor of 1392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate (9\/(-33)*-11)\/1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let -160\/13*k + 3200\/13 + 2\/13*k**2 = 0. What is k?\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 111575363?\nAnswer: 1033, 108011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in 11, -23, -8\/9?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*s - 7 = -3*t, 2*s - 264 = t - 263 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3498*z**3 - 2*z + 7003*z**3 - 3504*z**3 - 5*z.\nAnswer: z**3 - 7*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -134*s**4 - 2*s**2 + 1013*s - 794844?\nAnswer: -536*s**3 - 4*s + 1013","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s = 9 + -19. Let x = 1 - s. Is 3 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -9.47 and -42.6283.\nAnswer: 403.690001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert 112116 (base 10) to base 3.\nAnswer: 12200210110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = -42*d - 19. Let b be i(5). Let a = -94 - b. What are the prime factors of a?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 89013080671 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose t - 2*j - 45 = -9, -4*j - 156 = -4*t. Is 12 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*n**2 + 215*n + 20 - 20 - 70*n.\nAnswer: 2*n**2 + 145*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -44439746 + -5?\nAnswer: -44439751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w = -4*g + 1337831, -157*w + 18 = -155*w. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 2*(-2)\/6*24\/(-104). Which is the smallest value? (a) -2\/23 (b) v (c) -2\/7 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = 18*a**2. Let x(w) = -66 + 93 - 42 + 3*w. Determine y(x(r)).\nAnswer: 162*r**2 - 1620*r + 4050","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from qjqjqjjqjxj.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 11010000100000010 - 100?\nAnswer: 11010000011111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -716, -2973, -6860, -12479, -19932, -29321, -40748, -54315?\n\"Answer: -17*d**3 - 713*d**2 + d + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) = 14*v**3 - 4*v**3 - 7*v + 6*v**2 + 169 - 168. Let f be c(2). Calculate the highest common factor of f and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 6 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 15267589643 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -3? (a) 1 (b) 42.9 (c) -113 (d) 2 (e) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -841*p + 57584 = -561*p + 664*p for p.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 145\/48 and -7 - ((-386)\/16)\/(-48 - -52).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = 2*l**2 - 7*l + 5. Let u be r(4). Let d = 5 - 0. Let b = u - d. Solve t + b*t = 25 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 2 - 2*d - 2 + (5 - 2 - 4)*(3*d + 2*d - 6*d) - d + 0*d - d + (-3*d + 5 - 5)*(-1 + 2 + 0) + 4 - 4 - d in the form x*d + z and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find x, given that 2*x**5 - 82*x**4 - 1716*x**3 + 17352*x**2 - 27216*x = 0.\nAnswer: -21, 0, 2, 6, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = l**3 + 41*l**2 - 5*l - 84. Let g be b(-41). Is 359\/3 greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = -10*l. Let j(i) = -19*i. Let z(w) = 7*h(w) - 3*j(w). Let k(s) = s**2. Give k(z(n)).\nAnswer: 169*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) be the third derivative of 0*g**5 - 11\/6*g**4 + 1\/6*g**3 - 120*g**2 + 1\/12*g**6 + 0*g - 2. What is the second derivative of h(a) wrt a?\nAnswer: 60*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = -4*i. Let g(o) be the second derivative of -7*o**3\/2 + 2*o. Let k(d) = 2*d**3 + 6*d**2 + 252*d + 759. Let w be k(-3). Calculate w*g(a) - 14*t(a).\nAnswer: -7*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v = 20 - 24. Let k be 2 + v + 16 + -3. Let g(n) = n**3 - 11*n**2 + 2*n - 13. List the prime factors of g(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 29111 or -886\/3?\nAnswer: -886\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w\/(w**(-2\/7)\/w))**(-14\/3)\/((w\/w**(-9)*w)\/(w*w\/(w\/w**3))) assuming w is positive.\nAnswer: w**(-53\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -4 + -2 + 13 + (2 - (0 + 2))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Work out 1 * -39.4.\nAnswer: -39.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 961, 2803, 5733, 9745, 14833, 20991?\n\"Answer: -l**3 + 550*l**2 + 199*l + 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -4291 times -0.4\nAnswer: 1716.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -26153 divided by 1?\nAnswer: -26153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 828 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {z: 1, h: 3, d: 5, e: 1, m: 2}. Give prob of sequence dhz.\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = y**3 + 9*y**2 + 13*y + 33. What is z(-8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -15\/389 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 21\/40 and 37\/440.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Add 244357 and 1.\nAnswer: 244358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 5, 45, 113, 209, 333?\n\"Answer: 14*h**2 - 2*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**(-4)\/l**6)**(-24\/7) assuming l is positive.\nAnswer: l**(240\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 40.0233 take away 8654315?\nAnswer: -8654274.9767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 35.23 in 1, 0, 0.053, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -268, 516, 2266, 4988, 8688, 13372?\n\"Answer: s**3 + 477*s**2 - 654*s - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b = 32 - 9. Suppose 5*w - 894 = -2*t, 0 = -5*t + 9 - 24. Suppose 0 = -z + n + w, 3*n = -0*z - z + 196. Calculate the highest common divisor of z and b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 23802437405 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = -14*g + 6. Let r(w) = -w + 1. Let c(n) = -j(n) - 5*r(n). Is 29 a factor of c(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 595854.8ug?\nAnswer: 595.8548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -4 + 3 = o + t, 0 = 4*o - 5*t + 40 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from wgng. Give prob of picking 2 g and 1 n.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put together 15 and 4656.\nAnswer: 4671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) 4\/15 (b) 0.3 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 5 + 0 - 27 - (-30 + 24)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*j - 4*k - 11 = 9, 2*k = -4*j + 16. Suppose w = -j*w + 55. Let g = 96 + -97. Which is smaller: g or w?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = 12*l**3 + l + 1. Determine c(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -10 = -4*s - 6*l + 4 + 24, -27*l = 3*s - 32*l for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 16461876 a multiple of 1718?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:23 AM and 1:23 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1053 + 1534. List the prime factors of t.\nAnswer: 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 102\/(-21) + (-6)\/42. Let r(b) = 93*b**3 + 66*b**2. Let o(h) = -62*h**3 - 44*h**2. Let c(s) = d*r(s) - 7*o(s). Find the third derivative of c(a) wrt a.\nAnswer: -186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -67*z + 4 = -63*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = g**3 - 6*g**2 + 5*g - 3. What is h(3)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = -11*j**4 - 5*j**3 + 30*j**2. Let n(t) = -31*t**2 + 1 - 1 + 11*t**4 + 6*t**3. Let m(p) = 6*k(p) + 5*n(p). Find the third derivative of m(r) wrt r.\nAnswer: -264*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 0 - 3)*(-5 - 5 + 3)*(2 - 5 + 2)*(i**5 - i**5 + i**5).\nAnswer: -35*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 210400668.\nAnswer: 2, 3, 5844463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 47\/22116 and -131\/22116?\nAnswer: 22116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y + 15 = 2*o - o, 5*y = -2*o + 39. What are the prime factors of o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 2 + -10?\nAnswer: -d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -85 + -60?\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**(-5)*m*m*m*m\/(m\/(m*m**(1\/5)))*m*m**(-2\/5)*m**(3\/8)*m)\/(m**5*(m*(m*((m**(-11)\/m)\/m)\/m)\/m)\/m)**(-1\/18) assuming m is positive.\nAnswer: m**(27\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 5 (b) -5\/2 (c) 5\/2 (d) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t + t + 1936 = -4*i, 2884 = 3*t - 2*i. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = -88*j**2 - 1588*j + 7940. What is y(5)?\nAnswer: -2200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*f, 4*z + 8*f + 4 = 9*f. Let l = -5 - -9. What is the nearest to z in 5, l, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-15 - 10*r + 15)*(-4*r - 2*r**2 + 4*r) + 2*r**3 + r - r.\nAnswer: 22*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/9? (a) 1\/2 (b) 0.3 (c) 0.4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z = 53 - 49. Suppose 2*i = -n + 8, z*n + 0*n - 2*i - 22 = 0. Is n a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -28 = -10*d + 12 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 824163 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n = -9 + 3. Let p be (0 - (n - -5))*10\/(-2). Which is the smallest value? (a) p (b) 2 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = -j + 3*j - 1 - 5*j - 14*j. Suppose 2*z = 4*f - 2, 3*f - 3*z - 3 = -z. Is 8 a factor of p(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -19 + 19.5. Let r(j) = j - 17. Let a be r(21). Suppose -a*q + 32 = -3*s, -2*s - s - 27 = -3*q. Sort n, 1, -5, s in descending order.\nAnswer: 1, n, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ujd when three letters picked without replacement from {d: 1, b: 1, q: 2, j: 1, u: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-1)\/((-2)\/(-1)))\/(1\/2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.10659 - -0.4.\nAnswer: 0.29341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 35\/(-42) - (25\/(-5) - -4)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/4? (a) -24\/5 (b) -1\/2 (c) 0.5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 44\/(-264)*1*-233346 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 982 is divided by 101?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1 or 48\/1339?\nAnswer: 48\/1339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1 - -1. Let c = -347 + 363. Suppose g = -4*v - 4*y - c, 4*y = -2*v - 10 - 8. Put -3, 4, -1, v in decreasing order.\nAnswer: 4, v, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) be the second derivative of -k**6\/120 + k**5\/30 - k**4\/12 + k**3\/3 + k. Let t(r) be the second derivative of q(r). What is t(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((r\/(r**(-1\/5)*r*r)*r)\/r)\/r)**(-49)\/(r\/(r*r**(2\/5)*r)*r**(-5\/4)) assuming r is positive.\nAnswer: r**(1817\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 0.396688323 less than 12618?\nAnswer: 12617.603311677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -4175, -8354, -12545, -16754, -20987, -25250?\n\"Answer: -z**3 - 4172*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u = 3763952 - 1377052. Let w = u - 2386886.9999968. Let q = w - 13. Round q to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -22 = 18*d - 4*d + 76 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z be 400\/(-18) - 2\/(-9). Let s = -14 - z. Suppose 3*y - 2 - 7 = 0. Calculate the remainder when s is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (2 + -3)\/(-2 - -1). Let o = -70 + 102. Which is bigger: o or i?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 341517 and 3144?\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -91 = 24*b + 77 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 360 minutes before 9:08 PM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 30*k - 72 = 28*k. Is k a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 232357.\nAnswer: 232357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 14027.35ng?\nAnswer: 0.01402735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 12 + -13 - 3*5\/3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 76928961?\nAnswer: 3, 17, 1163, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) be the second derivative of -p**5\/20 - p**4\/3 + p**2 - 12*p. What is d(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -3*u**3 - 48450*u**2 - 1354536*u - 4643136 = 0. Calculate u.\nAnswer: -16122, -24, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -4236.4425 rounded to the nearest 10?\nAnswer: -4240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/3 in 2\/9, 1\/9, 1?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 7851996?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 533694650 to the nearest integer?\nAnswer: 23102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = 4*n**3 + 2*n**2 + n - 3. Let s be y(2). Let x be (-8)\/12*6\/(-4) + s. Let p = -35 + x. Solve -7 = p*v - 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 29 divide 15575041?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = 1107*d**2 + 4402*d - 126. Give l(-4).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = -w**2 - 8*w + 2. Let i be u(-8). Let v be ((-2930)\/114)\/(i\/6). Let o = v - -77. Is -1 smaller than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 26*f - 4 = 24*f - 2*c, 5*f + c + 10 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 426149280 a multiple of 4191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 4, 2\/5, -7\/78, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ci when two letters picked without replacement from ziicffcclccicf.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -69*b**3*i**2 - 12*b**3 + 199*b**2*i**2 - b**2*i - 2*i**2 + 2*i wrt b?\nAnswer: -414*i**2 - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0001473 to 5 decimal places.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -0.02 * -4\nAnswer: 0.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c = 6 - -3. Suppose 0 = v - 4*v + c. Determine s, given that 2\/3*s**v + 4\/3 + 0*s**2 - 2*s = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find h such that -37*h**5\/2 - 41*h**4 + 169*h**3\/2 + 131*h**2 + 24*h = 0.\nAnswer: -3, -1, -8\/37, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 1095 + -31?\nAnswer: 1064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 7257728 and 4.\nAnswer: 7257728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = -n. Let i = 9 + -7. Suppose -i*j = 3*j - 10. Let x(v) = 0 - 4*v + 0 - j + 0. What is -2*u(l) + x(l)?\nAnswer: -2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f be 8\/6 - 2*53\/(-6). Suppose -f*y - 6 = -21*y. Solve -3*r + 3*q - y = 0, -2*q = 3 - 11 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4 minus -2507302?\nAnswer: 2507306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = 8*h - 23. Let v be z(4). Suppose -16*r = v*r - 6050. Calculate the greatest common factor of 66 and r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 17 + -1214ab2?\nAnswer: -1214a97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*k + 20 = 5*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 8027 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 67*j**3*m**2 - j**3 + 2*j**2*m**2 - 6*j*m + 2*m**2 + 33*m wrt j.\nAnswer: 402*j*m**2 - 6*j + 4*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is next in 84, 115, 146, 177?\nAnswer: 208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0.6 or -205306?\nAnswer: -205306","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 237517 is divided by 463.\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 24 and 193416?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l be 4*((-30)\/(-8) - 3). Suppose 34 = 3*v - v + 4*f, -l*f + 15 = 0. Suppose 4*d - 4*a - 4 = 0, d + 26 = -4*a + v. Is -4 <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = d**3 - 10*d**2 - d + 26. Let n be z(10). Suppose 21 = -c + 4*c. Let s = n - c. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*p + 5*j = 10*p - 2, -4 = -2*p + 5*j. Let k be (-440)\/(-32)*4 - 4\/p. Which is greater: k or 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -624*t + 493*t + 1965 for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -101 - -10000011000111011010?\nAnswer: 10000011000111010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*u - 38 - 106 = 0. What is the lowest common multiple of u and 7?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 57697014 to the power of 1\/4, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 36 - 276 = -5*c. What is the common denominator of -23\/17 and c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 16464676*j**3 + 234*j**4 + j - 1 - 16464676*j**3 to the form v*j**2 + n*j**3 + u + y*j + a*j**4 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 7 - (-13 + 20) - 9\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 305850234?\nAnswer: 2, 3, 673, 75743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*p**3\/13 - 462*p**2\/13 + 35574*p\/13 - 913066\/13.\nAnswer: 2*(p - 77)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.02*7.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d + 5*k = -400, 483 = 5*d - 4*k + 2*k. Let g(s) = -s**3 - s**2 + 22*s + 380. Let a be g(0). What is the greatest common divisor of a and d?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0110392 rounded to 3 dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-27)\/2)\/(9\/(-12)). Let i = 18 - q. Solve 2*l + l - 15 = i for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-176)\/(-18) + 12\/54. Suppose 8*w = u*w. Let m be w\/(-2) - (0 + -3). Solve d = 2*r, -16 = -2*r + 8*d - m*d for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 233 + -4 + (2 - 0). Differentiate n - 242 - 17*z**2 + 2*z**2 wrt z.\nAnswer: -30*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 10467\/33 - 6\/33?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = -3*g. Let i(d) = -4*d**2 + 5*d. Let k(w) = -2*w**2 + 3*w. Let t(c) = -6*i(c) + 10*k(c). Calculate t(l(v)).\nAnswer: 36*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z = -4*b + 94, -5*z = -2*z - 6. Suppose -3*x + b + 26 = 0. Suppose 0 = 17*q - 700 - 658 - 87. What is the greatest common divisor of x and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2021?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r = -1331 - -1330.441. Let v = -0.059 - r. Suppose -2*j = 4*b - 3*j - 8, 0 = 5*b - 2*j - 10. What is the smallest value in b, v, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = 2*x**3 - 61*x**2 + 390*x + 127. Determine c(21).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -87\/254660 and -83\/714.\nAnswer: 763980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-227)\/(-3) - 8\/(-24). Let l = 107 - g. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 384 less than or equal to -88405?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = -2*u**2 - 67*u - 368. Let h be d(-7). What is the biggest value in -103, 1, h, 1\/4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -56674623 - -4?\nAnswer: -56674619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z be -4 + 57\/(-9)*-3. Let l be (192\/5)\/((-3)\/z). Let g = -130 - l. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 5 (b) -296.4 (c) 2 (d) -0.4 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose i - 84 = 5*i. Let o be (9\/(-21))\/(3\/i). Suppose 3*s = -2*j - 2, -40 = -4*j + o*s + 2*s. Let x(w) = -1. Let y(h) = -h**2 + 5. Calculate j*x(f) + y(f).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 411 is divided by 383?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 62*r + 150 = 37*r. Let u be (-5)\/r + (-5183)\/(-1065). Is 5 not equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2382 is divided by 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2.66254*-1.3.\nAnswer: 3.461302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 w and 2 d when four letters picked without replacement from uwlwwwdwguluwudlluuu?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**(2\/5)\/k)\/(k**(2\/23)*k)*(k**20\/k)\/(k*k**(5\/3)\/k) assuming k is positive.\nAnswer: k**(5398\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (((-328)\/(-574))\/(2\/(-7)))\/(-1*3\/(-90)).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = -d**2 + 23*d - 138. Let h be c(10). Sort h, 1, 251 in descending order.\nAnswer: 251, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {o: 18, y: 1}. What is prob of picking 2 o?\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j + j = -36. Suppose -r - 3 = -4. Let t = j - r. Solve b = 5*b + t for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2\/3 or -462553?\nAnswer: -462553","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k be (90\/25)\/((-3)\/(-10)). Suppose -l + 2 = n - 0*l, 4*l = -5*n + k. What are the prime factors of (-2)\/n + (-110)\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 144*h = 139*h + t - 157, 2*h + 22*t - 17*t + 52 = 0 for h.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 370831?\nAnswer: 97, 3823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let l = -139 - -139.5. Put l, -3\/5, 1, 9 in ascending order.\nAnswer: -3\/5, l, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-3)\/(1\/(20\/(-15))). Suppose z = -4*a + c*z + 584, 5*a = 5*z + 725. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*sqrt(52)*-5.\nAnswer: 40*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r + 17 = -4*q - 7, -4*q - 8 = -5*r. Let f = q - -11. Suppose 0*p = f*p + v - 59, 0 = 5*p + 2*v - 73. List the prime factors of p.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:11 AM and 6:14 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y - 4*y = -21. Let i be 21\/(-27)*(-6)\/y. Suppose 2*t = -2*t + 4. Which is bigger: t or i?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*l - 14*l + 4 = 0. Let y = 128 + -130. Put 3, l, y, -4 in increasing order.\nAnswer: -4, y, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 2556*i**3 + 151*i**4 - 2556*i**3 - i**2 + (-2*i**2 + 4 - 4)*(-4*i**2 + 2*i**2 - i**2).\nAnswer: 157*i**4 - i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = 6*k + 1557 + 2*k - 1546. Let g be h(2). What is the greatest common divisor of 243 and g?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Express l**2 - 29*l + 1 + 28*l - 118*l**3 + l as u*l**2 + p*l + f*l**3 + j and give f.\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 517*q**3 + 1130060 - 1130060.\nAnswer: 517*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.1 - -0.1. Let c = 0 + 0.1. Let r = c + o. What is the third biggest value in r, 0.5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 134267 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n + 6 - 28 = 0. Let a = n - 7. What is the remainder when 15 is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 4 in 5\/2, 3, 2\/183?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k = -3*k + 22. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 3108795550 to the nearest 1000000.\nAnswer: 3109000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-7 + (-987)\/14)\/(12\/(-8) - -2). Which is smaller: -158 or w?\nAnswer: -158","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -64617, -64784, -64951, -65118?\n\"Answer: -167*r - 64450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 81 - 82 - ((1 - -99) + 35 + -22 + -17).\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + 5 + 1*sqrt(128) + (2 + sqrt(128))**2*6)*5.\nAnswer: 1000*sqrt(2) + 3960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round -560894.03 to the nearest one thousand.\nAnswer: -561000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = -6*h - 4. Let o(p) = 5*p + 3. Determine 6*f(a) + 7*o(a).\nAnswer: -a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 15459500 divided by -6125?\nAnswer: -2524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*g + x = -31, 15 = -g - 3*x + 10. Which is smaller: g or -8?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2313101 (base 7) in base 9?\nAnswer: 480632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 37 and 592.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i = -29 + 33. Let u be 2*-2*((-18)\/i - -4). Solve d - 5 = 4*n, -d - 2*d + u = n for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -6, 0.1, -3.08, 0.5, -12.3, -3 in ascending order.\nAnswer: -12.3, -6, -3.08, -3, 0.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t + 1113 = -37*z + 40*z, 3*t - 1671 = -3*z. What are the prime factors of t?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 36*(5 - (-52)\/(-12)). Let d(h) = h**2 - 5*h - 2. Let m be d(7). Calculate the highest common factor of k and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2688\/(-1568)*105\/9?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5258*t - 1691*t - 1912*t - 1662*t.\nAnswer: -7*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i = 17 - 16.8. What is the nearest to -2 in 2\/13, i, 0.3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 3.792 to 1 decimal place.\nAnswer: 3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Put together 6159547.28 and 5199.\nAnswer: 6164746.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 528 and 440?\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-1)\/4 + (-174)\/8. Let k = -14 - -24. Let v = i + k. Let q(l) = -14*l - 14. Let u(o) = -o - 1. What is v*u(c) + q(c)?\nAnswer: -2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (-4 - (3 - 4))*-19.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = -2*r + 7. Suppose 19*g = 16*g + 24. Give b(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 60833.73 grams to milligrams.\nAnswer: 60833730","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (3\/(180\/16))\/(10\/(-15))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1)\/(((-108)\/(-324))\/((-2)\/6)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 581911?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round 0.177697955 to three decimal places.\nAnswer: 0.178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 395763 + 195774 = 23*z. What are the prime factors of z?\nAnswer: 3, 8573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.2? (a) 1 (b) -0.9 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 9417*k*z - 2*k + 2*z**2 - 8649 wrt z.\nAnswer: 9417*k + 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 13\/8 of a microsecond in nanoseconds?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (3 - -6 - 5) + -7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 1 divided by 962\nAnswer: 1\/962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:01 AM and 6:26 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 95\/4 and -43\/5428.\nAnswer: 5428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) be the third derivative of c**5\/60 + 7*c**2. Let v(p) = 4*p. Determine v(u(t)).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g = 317132 - 398317835\/1256. Calculate the common denominator of g and 22\/1413.\nAnswer: 11304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from uwuuuwuw. Give prob of sequence uu.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/3? (a) -50 (b) 1\/4 (c) -4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j = 143 + -299\/2. Let i(x) = -3*x**2 + x + 1. Let z be i(-1). What is the biggest value in 0.5, j, z?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0, -18\/13, 895, -7, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 0.4307898 milligrams in micrograms?\nAnswer: 430.7898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:44 PM and 2:16 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 199*z**2 - 9 + 2*z**3 - 183*z**2 - 215*z**2 - 232*z**2.\nAnswer: 2*z**3 - 431*z**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1169, -1155, -1127, -1079, -1005, -899?\nAnswer: -755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 3288590?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(539) + 3 + sqrt(891)*2 + 3)**2 + 5.\nAnswer: 300*sqrt(11) + 6916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert -300131 (base 6) to base 13.\nAnswer: -a849","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p = 1 + -5. Let a = 4.1 + p. Let l = -3 - -2.6. What is the closest to a in l, 0.5, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1421.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 3620389 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 the greatest common divisor of 180 and 180612?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) be the second derivative of 2*i**3 + 0 - 1\/12*i**4 + 0*i**2 - 8*i. Find the second derivative of l(o) wrt o.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 771 - 788. Which is the third biggest value? (a) 14 (b) t (c) 5\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -268, -6, 1\/2, -2\/13, 0.1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = w**3 + 2*w**2 - 4. What is z(-3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z = 31.7 - 35. Let p = -3.2999973 - z. Round p to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -103 + 48\/(1191456\/2556918).\nAnswer: 2\/197","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Convert 3 (base 8) to base 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = -210*y**3 - 6*y**2 - 8*y. Let m(z) = 419*z**3 + 14*z**2 + 18*z. Calculate 4*m(j) + 9*t(j).\nAnswer: -214*j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1\/12)\/((-148)\/((-2699520)\/342))?\nAnswer: 40\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = -b**2 + 4*b + 6. Let a be w(-4). Let k be a\/(-6) + 2\/(-6). Suppose k = -7*q + 32. Solve 2*h - 10 = q*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = -6*h - 4. Let r(i) = 3*i - 4. Let t(p) = -108*p + 0 + 11 + 102*p. Let b(y) = -5*r(y) - 2*t(y). Give -13*b(m) + 6*s(m).\nAnswer: 3*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0 - 2 + 6)*(0*j - 11*j - 19*j) to the form a*j + n and give a.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 647 minutes after 10:41 PM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 173, 1120, 2067, 3014?\n\"Answer: 947*f - 774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t be 8\/(-14) + (-32)\/(-7). Suppose -3*z + 2*b = 5*b, -5*z + 4 = t*b. Suppose 0 = -5*p - 15, -z*p + 2*p - 10 = -4*s. Put 4, 2, 7, s in decreasing order.\nAnswer: 7, 4, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -10111222 + 1021111012?\nAnswer: 1010222020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -312\/11 or -27?\nAnswer: -312\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from mmmmmmmmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1 - 1 + 604*x + 474*x + 298*x**2 - 1078*x + 2*x**3.\nAnswer: 2*x**3 + 298*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0.069391 or -3\/16?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from bbzuguxgbbpbbbx. Give prob of sequence gp.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -102 - 11?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Does 212550 = -483?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = 76*l + 1824. Let g be i(-24). Solve -b + 20 = -5*o, g = 2*o - 6*o - 3*b - 16 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 21115182.\nAnswer: 2, 3, 11, 319927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 0.2, 1, 0, -3.7, 5\/7, 2\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m be (7 + (-90)\/14)\/((-10)\/(-35)). Let h(u) = 4*u**2 + 12 - 9*u - 11 + 5*u - 2*u**m + u. Calculate h(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = 3*w**4 + 5*w + 4. Suppose -20 = -6*h + 2*h. Let u(m) = -3*m**4 - 4*m - 3. Let x(l) = h*u(l) + 4*v(l). Differentiate x(p) with respect to p.\nAnswer: -12*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -37755237 divided by 6.\nAnswer: -12585079\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*y = -3*s - 54, s + 4*s + 6*y + 12*y + 60 = 15*y for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 16? (a) 1\/5 (b) 1\/21 (c) 4\/9 (d) 1\/6 (e) 5\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = -9*o**2 + o**3 + 7 + 2 + 11*o + 2 - 21. What is the tens digit of v(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 r and 1 k when two letters picked without replacement from ckekerkkc?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00000117074922 rounded to seven decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z = 2.39 + -0.19. Let f = -2 + z. Sort 0.1, f, 1 in increasing order.\nAnswer: 0.1, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -31, -24, -11, 8?\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q = -7976 + 7993. Calculate the remainder when q is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 67428942?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = m + 8. Let p be j(-8). Let n be ((-2)\/362)\/((-4)\/(-8)). Is p greater than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 j, 1 b, and 1 k when four letters picked without replacement from bjgbabjbbgbjk?\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = 3*h + 40. Let k be f(-14). What is the biggest value in -3\/7, -0.03, k?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2385)\/3180*(-5 - 46 - 5)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*h - 3*u + 69, -4*h + 2*u + 25 - 91 = 0. Let m = -6 - h. Suppose -m*b = -6*b + 249000. What is b rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) = -v**2 - 12*v + 12. Let b be g(-12). Let p(r) = r + b*r - 3*r + 16*r**2 - 15*r**2. Let z(s) = 3*s. Give 2*p(i) - 7*z(i).\nAnswer: 2*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 393400926?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor -1\/5*l**2 + 329\/5*l + 662\/5.\nAnswer: -(l - 331)*(l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n + 510664 = 4*d, d + n + 8474 = 136146. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) be the third derivative of -o**6\/120 - o**5\/15 + o**4\/24 + 2*o**3\/3 - 304*o**2. What is k(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = 5*y**2 + 43*y + 70. Let r be q(-7). Solve 4*n + 18 - r = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 1\/((-2199)\/(-549) - 4). Suppose -5*t + 387 = -k. List the prime factors of t.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 15 and 8416545.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t + 20 = m, -36 = -m - 0*m - 4*t. Let d = 25 - m. Let k(a) be the second derivative of a**3\/3 + 2*a**2 - 290*a. Determine k(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*s - 43 = 4*n, 0*s - 3*n = -4*s - 53. Let w = -8 - s. Suppose -5*a + 6 = 3*q - q, 5*a + q = w. Solve 2*j = -5*r - 26, 4*j - 8 = 5*r - a*j for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -8*t + 3*t + 10. Let m = -4 + t. Let u be (-1 - 5\/m)\/(-9). Which is the nearest to -0.2? (a) u (b) -0.3 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 98574 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express (961 + 47*k - 961)*(-8 + 16 - 4)*(3*k - k - 4*k) in the form c + h*k**2 + v*k and give h.\nAnswer: -376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Add together -6.7 and 17852530380.\nAnswer: 17852530373.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 464*m - 6353 + 10 - 16393 = 0 for m.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1142, 1245, 1418, 1661, 1974?\nAnswer: 2357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from kovkkvvkkkkooook. Give prob of picking 2 k.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c be (310 + 5\/1)\/(3\/2). Let j be (-60)\/c*(-1 - (-14)\/8). Which is bigger: -1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = -56*b - 2178. Calculate i(-39).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -46 - 12*f**2 - 4 + 6*f**2 + 2*f - 3*f**2 + 8*f**2 to v*f**2 + x + n*f and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*w**3 + 448*w**2 - 15360*w + 147456.\nAnswer: -4*(w - 48)**2*(w - 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -3.34817689 rounded to 2 dps?\nAnswer: -3.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 95 divided by 96663\nAnswer: 95\/96663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is next in -127, -123, -119, -115?\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2731, 2730, 2729, 2728, 2727?\nAnswer: 2726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1 - 56 - (4 + -37 + 52 - (12 + 1)).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o = -302 - -309. Solve 7*m - 7 = o for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 26461*x - 26498*x + 666 = 0 for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*d**2 - d**2 + 2*d**2 + (7*d + 2*d + 2*d)*(-2 + 2 - 14*d) + 3 + 2*d**2 - 3 to q + p*d + t*d**2 and give t.\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j be (2\/12)\/((-2)\/8). Let n be (4\/(-21))\/(-4 - 30\/(-9)). Sort n, j, 2 in increasing order.\nAnswer: j, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -1487560 (base 9) to base 4\nAnswer: -3021211113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 10293805 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 4 minutes before 9:50 AM?\nAnswer: 9:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 1508 = -293*l + 5317 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h = -117 + 125. Let n = h + -8.1. Let z = -3 + 8. Put 4, n, z in increasing order.\nAnswer: n, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.9? (a) -0.4 (b) -1\/9 (c) 0.4 (d) 29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -25 (b) -6\/5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = w + 11. Let f be k(0). Suppose -f = -5*c - 1. Calculate the least common multiple of 6 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 719 and 127344247?\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose d - 3*d + 30 = 0. Let l be ((-4)\/6)\/(20\/(-90)). Suppose -l*v + 276 = d. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*g + 20 = -5*s - 6*g, g + 5 = -2*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g = 97 + -63. Let s be (0 + 1020\/(-17))*g\/(-8). What is the highest common divisor of 51 and s?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {i: 8, l: 5, k: 5}. Give prob of sequence li.\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Put together 424.45 and 114079.\nAnswer: 114503.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from oooooooooooooouooo. Give prob of picking 3 o.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p be -13*1\/(-3) + -3. Let s = -6 + 2. Let t = 40 + -79\/2. Which is the closest to 2\/13? (a) p (b) s (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = -w**3 + 7*w**2 + 2*w + 4. Let a be b(7). Is 4\/a - (-466)\/9 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n - 4*u = -5*n + 40, u + 3 = 0. Does 14 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of ((-180)\/24)\/((-42)\/(-61)) - -8 and 3\/208.\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = 30 - 10*v + 16 + 26 + 21 - 60. Calculate w(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) be the first derivative of f**2\/2 + 11*f + 159. Determine h(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -103 or -104?\nAnswer: -103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is next in 3263, 3274, 3289, 3308, 3331, 3358, 3389?\nAnswer: 3424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2673 is divided by 135.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = 2*l + 14. Let c be r(-7). Suppose -x + 0*x + 1293 = c. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 110, 448, 1016, 1814, 2842?\nAnswer: 4100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = r**2 - r + 3. Let i(o) = -2 + 10 - 7. Let w(p) = 3*i(p) - y(p). Factor w(h).\nAnswer: -h*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 282 and 3.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let 3*k**3\/7 - 1653*k**2\/7 + 223512*k\/7 + 1159260\/7 = 0. What is k?\nAnswer: -5, 278","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 5700588 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {o: 1, g: 1, c: 2, w: 5}. Give prob of sequence gow.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from pxgggnpxxgpggxn. Give prob of sequence xx.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/5? (a) -46 (b) -0.5 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*d - b - 15 = 0, 4*d + b = 67 - 40 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = -8*h**3 + 5*h**2 + 6*h + 5. Let y(o) = -o**2 + o - 1. Let a(j) = -s(j) - 5*y(j). Find the second derivative of a(x) wrt x.\nAnswer: 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-1 + 1 - 1)*(-2*h - 2*h + 2*h) + 84 + 13*h - 84 + (2*h + 3 - 3)*(-71 + 206 - 18) in the form b + f*h and give f.\nAnswer: 249","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3*3\/9*8*(-154)\/(-176)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = -7*g + 6. Is n(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 22101030230 (base 4) in base 10?\nAnswer: 2691884","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Subtract -6.6 from -44.\nAnswer: -37.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = a - 9. Let j be v(10). Let r(b) = -b**3 + b. Let t be r(j). What is the common denominator of 1\/4 and t + 6\/(-14)*-13?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -2808540.053 to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 244 minutes before 8:19 AM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is -296112374 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) be the first derivative of v**2\/2 + 7*v - 3. Let l be s(-6). Suppose 2*r + 29 = 5*k, 4*r - 12 = -3*k - k. What is the biggest value in -1\/12, r, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 37 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.38 - -0.03. Let i = -0.05 + z. Let d = 1470763 - 139722483\/95. What is the second biggest value in -0.1, i, d?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -6 + (-11 - 1287\/(-77))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -23\/711 and -65\/16353?\nAnswer: 16353","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-405)\/36)\/((-9)\/48). Let b = 143 - 96. Let x = c - b. What is the remainder when 21 is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -98.9 + 99. Let j = 0.6 - 1. What is the closest to s in -1\/8, 0.2, j?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (1 + 1)\/((-1)\/(-4)). Suppose 0 = v - 3*v + p. Solve 0 = l + 3*r - 3 - 12, 0 = 5*l - v*r + 20 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*d = 2*c - 52, c - 50 = -33*d + 29*d for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -dc958 (base 16) to base 14\nAnswer: -1973a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 0.00819 and -7236403077?\nAnswer: 7236403077.00819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*((3 + sqrt(2))*1 + sqrt(18) + sqrt(18)*-2) + -4 + 4*(1*-1*sqrt(2) + sqrt(18)*3))**2.\nAnswer: 384*sqrt(2) + 1216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let -3*i**5\/5 + 39*i**4\/5 - 129*i**3\/5 - 51*i**2\/5 + 456*i\/5 + 336\/5 = 0. What is i?\nAnswer: -1, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate 24\/28*(-3)\/(-6).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -15 divided by -1128.\nAnswer: 5\/376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -955, 0.5, -4 in increasing order.\nAnswer: -955, -4, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve d + 32 = -4*p - 3, d - 55 = -2*p - 70 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4*((-312)\/(-880) - (-6)\/(-15)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is seven halves of a tonne in kilograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = -18 + 21. Suppose -n*h = -4*h + 57. Let z = -33 + h. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 27 + -28 - (12\/3 + -6)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2893, 5833, 8827, 11905, 15097, 18433, 21943, 25657?\nAnswer: 29605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q be 1 - 6 - (35 - (4 + 1)). Let g be ((-25)\/q*4)\/((-3)\/(-21)). Solve -2*b = 2*b + g for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-45)\/10 - (-3)\/1.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 18, 184, 626, 1482, 2890, 4988?\nAnswer: 7914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) be the third derivative of -63*j**6\/40 + 13*j**3 - 87*j**2. What is the derivative of o(a) wrt a?\nAnswer: -567*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 8 + -8.1. Let l = 36.8 + -34.9. What is the nearest to w in -0.1, 1, l?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -151\/1518 and -129\/3254776.\nAnswer: 107407608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*n + 6*n = -52. Let b = -56 - -101. Let f = n + b. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -5\/3? (a) -2 (b) -3\/4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 574 and 36255972?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -86*b - 85*b + 3287133 = 0. Calculate the greatest common factor of 47 and b.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 49\/7086 and 35\/12991.\nAnswer: 77946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g be 39 + 8 - (-120)\/15. Solve -5*m - g = 6*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -59 + 61. Suppose k*g - 225 = -3*g. Calculate the greatest common factor of g and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 131774227933 from -70.\nAnswer: -131774228003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s\/s**(-2\/7))\/s**(-1\/6)*(s*((s*s**0\/s)\/s)\/s)\/s**(-2\/19))**50 assuming s is positive.\nAnswer: s**(11125\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -29, 4, 35, 3, -2.\nAnswer: -29, -4, -2, 3, 4, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 15\/4 of a millennium?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Total of -4 and 146536661850159.\nAnswer: 146536661850155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 1358335 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 75934330 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -24*h**2 + 1770 - 5312 + 1773 + 1769.\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a be (0 - -1) + (5 - 1). Suppose -3*r - 6 = 2*v + 9, -r + 3*v + 6 = 0. Put a, r, 0 in decreasing order.\nAnswer: a, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand q**2 + 4*q**2 - 3*q**2 + (157 - 149 - 347)*(0*q + q + 0*q)*(6*q - 2*q + 0*q).\nAnswer: -1354*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 323 and 277?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -2, 7\/158903, 2, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Total of 373.63 and -1684729692.\nAnswer: -1684729318.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r = -2066 + 43384\/21. Which is the closest to 0.12? (a) 5 (b) r (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -137 (base 8) to base 15\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1325?\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 4422450051 - -3?\nAnswer: 4422450054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {z: 2, p: 4, o: 3, a: 4, y: 3}. Give prob of picking 1 o, 1 p, and 1 z.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o be (3\/(-9))\/((-2)\/42). Let t(a) = 74*a - 4 - 23*a - 25*a - 25*a. Let p be t(o). Solve -p + 0 = c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) be the second derivative of b**4\/12 + 7*b**3\/6 - 4*b**2 - 43*b. Determine q, given that g(q) = 0.\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 8620.\nAnswer: 2, 5, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = j**3 + 11*j**2 - 3*j - 3. Let z(c) = c**3 + 10*c**2 - 2*c - 3. Let h(p) = -5*s(p) + 6*z(p). Let k be h(-3). Which is bigger: 5 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.23 - 0.03. Let z = o - -0.2. Round z to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -2*j**5 + 12*j**3*m - 3*j**3 + 178*j*m + 1 wrt j.\nAnswer: -40*j**3 + 72*j*m - 18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 43, 165, 369, 655, 1023, 1473?\nAnswer: 2005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -92*i + 2446 - 54. Sort 5, -17, 1, 2, i in increasing order.\nAnswer: -17, 1, 2, 5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*g**2\/15 - 22*g\/5 + 112\/3.\nAnswer: -2*(g - 7)*(g + 40)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a = 47 - 32. Suppose -3*d = -8*d + a. Let b(c) = 8*c**3 - c**2 - 5*c + 2. Is b(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = 6*g**2 - 33*g - 8. Let p be n(6). Suppose -13*b + p*b + 1611 = 0. List the prime factors of b.\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((n\/(n**(2\/13)\/n)*n*n)\/n*n*n)\/n)**(-24)*(n*n**(4\/9))**(-15) assuming n is positive.\nAnswer: n**(-4445\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o = -3984 - -3984. Let s = 3 + -3.5. Let h = -11 - -7. What is the second smallest value in h, o, s, 0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) be the second derivative of n**4\/48 + 27*n**3\/8 + 24*n + 13. Factor u(f).\nAnswer: f*(f + 81)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9*x**2 + x**2 - 23*x**2 + 3*x**2 - 226 + 30*x**2.\nAnswer: 2*x**2 - 226","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-7)\/(14805\/350 - 43).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/19 in -2, -4, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o = 1 - 3. Let d = 1.7 + o. Which is the nearest to -1? (a) 0.1 (b) d (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-4)\/(-3*8\/(-108)) + 1. Let y(k) = 4*k + k**2 + 14 + 16*k - 4*k. Is y(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 63.5086 - 0.7786. What is h rounded to zero decimal places?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -98, 12, 18, 1 in descending order.\nAnswer: 18, 12, 1, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -1\/3 and 5 + (-48)\/10 + 524\/(-4920)?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d - 2*u = u - 1895, -2*d = 2*u - 758. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 divided by -22.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + 1*sqrt(612))**2.\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is next in -163, -160, -157, -154, -151?\nAnswer: -148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 11\/2 of a centimeter in micrometers?\nAnswer: 55000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 12 minutes after 8:40 PM?\nAnswer: 8:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -m - 79 = -77 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = 4*q**3 + 18*q**2 + 23*q + 22. Let t be z(-6). Which is greater: -331 or t?\nAnswer: -331","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 1316349460?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1 minus 3569.071?\nAnswer: -3568.971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -1028, -1235, -1470, -1733, -2024, -2343?\n\"Answer: -14*z**2 - 165*z - 849","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -519\/827 or -2?\nAnswer: -519\/827","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s = -45 + 67. What is the remainder when 85 is divided by s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanoseconds are there in 622.1879 weeks?\nAnswer: 376299241920000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p = 3082 - 3082. Factor 2\/3*x**3 + p*x**2 - 1\/3 - 2\/3*x + 1\/3*x**4.\nAnswer: (x - 1)*(x + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3470821 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 0 + (78 - 76 - (-1 + 13)) + 3 + 28?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*j**2\/13 - 1278*j\/13 + 80656\/13 = 0 for j.\nAnswer: 71, 568","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-4)\/8*(-6 - -2). Suppose 2*m = -y*s + 10, 4*m = 3*s + 4 + 2. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be ((-12)\/(-21))\/(8\/28). Solve 0*m**u + 0 + 5\/2*m**3 - 5\/4*m - 5\/4*m**5 + 0*m**4 = 0 for m.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = 2*a - 5. Let h = 28 + -3. Suppose j = 5*p + h, -j + 3 = -3*p - 14. Let n be o(j). Solve n*v - 4*t = 28, -18 = -4*v - 5*t + 6*t for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = -10 + 2*h + 0*h**3 - h**3 + 306*h**2 - 298*h**2. Let w be k(8). List the prime factors of 21 - -3 - (-2 + -2 + w).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = 3433*f + 16930. What is b(-5)?\nAnswer: -235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is -0.2 at most as big as -7865?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n + 7 = 3*g, 3*g - 11 = n - 6*n. Let s(m) = 44*m**2 - m + 1. Let u be s(n). What is the greatest common factor of 11 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 12 (base 8) in base 6?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = -16752804*c**2. Let r(t) = 18*t + 2. What is r(p(y))?\nAnswer: -301550472*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r = 9 - 5. Suppose 0 = -r*l - 5 + 145. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00407933764 to 7 dps.\nAnswer: -0.0040793","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1781?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.04 in 1759, 1\/12, 9?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -20759790 divided by -1910.\nAnswer: 10869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -16*a - 5*d = -20*a - 9, 2*d - 10 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -1876*a**6 + 884*a**5 - 1082111*a**2 + 3*a.\nAnswer: -225120*a**3 + 53040*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l = 33 + 0. Suppose 0 = -2*k + 2*z - 18, 0 = 5*k - 2*z + l - 3. Which is the second biggest value? (a) -3\/5 (b) k (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 57 divide 6840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 511 and 104609.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose i - 3 = 4*t, 2*i + 11 = -4*t - 7. Let n be i\/15 - 607\/(-3). Is n\/8 - 2\/8 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 1943*-1 - ((2 - 5) + 3). Let c = -343 - t. What is c rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 12 smaller than -6\/847?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y + 19 - 3 = 0. Suppose -4*v = -v - 3. Let n be 3*(v + -2 + 2). Solve m = n*m - y for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3 + 4*j**2 + 3*j**2 + 3 + j**3 to the form g + m*j**3 + i*j**2 + v*j and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 39\/305 and 57\/119840?\nAnswer: 7310240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 26\/21 and 74\/24719571.\nAnswer: 173036997","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -84362, -168719, -253088, -337475, -421886, -506327, -590804?\n\"Answer: -d**3 - 84350*d - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 m and 3 g when four letters picked without replacement from {m: 1, x: 6, g: 4}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m = -18457 - -18457.2. What is the third smallest value in -5\/6, m, 2, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -50 + 5*d**3 + 7 - 4*d**3 - 1.\nAnswer: d**3 - 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*g + 2*g = 12 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = -82 + 85 - 4*l - 5*l + 0*l. Let d = -9 - -4. Let v(f) = f**2 + 4*f. Let j be v(-3). Let y(p) = 5*p - 2. What is d*y(k) + j*c(k)?\nAnswer: 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3\/(30\/(-9) - -3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (12\/(-8))\/(6\/(-1840)). Let k be ((-1)\/10)\/(136\/w). Let l = k - -3\/34. Which is the third biggest value? (a) 3 (b) 2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 3850610, 7701214, 11551818?\nAnswer: 15402422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -26 + 44 + 1 + -8\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -1\/32, 3.5 in descending order.\nAnswer: 3.5, 1, -1\/32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = 8*l + 37. Let i be z(-15). Let s = i - -124. Is s a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -121657288*k**3 + 3274999*k**2 - 1 wrt k.\nAnswer: -729943728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) be the first derivative of -1\/9*p**3 + 0*p + 2 - 1\/3*p**2. Find h, given that y(h) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 184 is divided by 32.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q be -1 + -1 - 42\/(-12). Let z = 0.22 + -0.02. What is the biggest value in 1\/2, z, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 7 and 704.\nAnswer: 4928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = 453*s + 4*s**2 - 3*s**2 - 455*s. Let o be d(5). Let w = o + -19. Are -9\/2 and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -110397472*p**3 - 10*p - 2709918?\nAnswer: -662384832*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 150931*i + 12*i**3 - 150931*i.\nAnswer: 12*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 81671 is divided by 280?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 21.99114593 - 1\nAnswer: 20.99114593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-54)\/(-2376)*-22)\/(22\/(-8)). What is m in -4\/11 + v*m - 6\/11*m**3 + 8\/11*m**2 = 0?\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**(-24)\/b)\/(b**(-21\/2)*b) assuming b is positive.\nAnswer: b**(-31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -k + 2792 + k - 5552 + 89*k**2 + 2763 to j + p*k**2 + q*k and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 514536 and 42878?\nAnswer: 514536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 37*q - 120*q + 78*q.\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t = -6*t + 144. Let n be t*(3 - 3\/(-1)). List the prime factors of (-3)\/((n\/(-80))\/9).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k = -m - 14, 3 = 3*k + 3*m - 0*m. Let w(o) = k + 12 - 12 + 3*o. What are the prime factors of w(6)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = 2*h**3 + 70*h**2 + 384*h - 233. Determine w(-28).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 177866556 and 890142?\nAnswer: 1956532116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y*y**(-21))**(-22)*y\/y**(-2\/15)*y*y*y*y*y**38 assuming y is positive.\nAnswer: y**(7247\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p = 114 - 70. Let r be (-2)\/3 - p\/(-3). Let a = 29 - r. What is the greatest common divisor of 75 and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) be the first derivative of 0*i + 0*i**3 + 0*i**4 + 7 + 1\/100*i**5 - 7\/2*i**2. Let c(a) be the second derivative of d(a). Suppose c(g) = 0. What is g?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -102 (b) -68593 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 717870 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 2383 = 439*b - 4534 + 771 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*x**2 + 196535462*x - 196535462*x.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 693 minutes after 12:15 AM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {r: 2, q: 1, w: 2, v: 9}. What is prob of sequence vrq?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = 2*l. Let z(i) = 10*i**2 + 10*i**2 - 5*i**2. What is z(c(g))?\nAnswer: 60*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x be -1 - 5 - 9\/3. Let s(y) = -y**2 - 10*y + 13. Is s(x) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-12)\/(-84)*14\/(-3)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 696726 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence cxg when three letters picked without replacement from tctgcx.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c = 17*r - 22*r + 135, 0 = -3*c + 5*r + 115. Is c != 51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -6 by -152.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert 7578 (base 14) to base 2.\nAnswer: 100111101000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 15704555 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -51254440 rounded to the nearest 1000000?\nAnswer: -51000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 70, 115, 150, 169, 166, 135, 70, -35?\n\"Answer: -w**3 + w**2 + 49*w + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 80*x - 101688 + 62300 = 83092. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = -m**3 - 3*m**2 + 10*m + 34. Let v be d(-3). Factor 0 + 8\/5*k**v + 0*k**2 + 0*k + 2\/5*k**5 + 8\/5*k**3.\nAnswer: 2*k**3*(k + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.05 plus -6331?\nAnswer: -6331.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 311315700?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in 108, -3, 115, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ik when two letters picked without replacement from {k: 2, i: 9}?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 16 - 1125*l - 5647*l + 8 - 24 to f*l + r and give f.\nAnswer: -6772","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = -9*c**2 - 3*c - 5*c**3 + c**2 + 6 + 3*c**3 + c**3. Does 10 divide x(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (4*v - 3*v - 3*v)*(2*v + 5*v - 15*v**2 - 8*v)*(4 - 4 + v) to the form a + t*v**4 + q*v**2 + k*v + x*v**3 and give t.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3774\/255 + (-32)\/40 + -3.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -33694 and -0.231?\nAnswer: 33693.769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t = 10*a - 8*a + 2383, a - 3192 = -4*t. Is t a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = 3*t**3 - 5*t**2 - 5*t + 5. Let b(n) = n**3 - n**2 - n + 1. Calculate -5*b(j) + r(j).\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = -20*y - 7*y + 2 - 24*y. Suppose 178*t - 175*t = -3. What is the units digit of u(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 139\/280 and 37\/192?\nAnswer: 6720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -38488 or -38489?\nAnswer: -38488","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 66211 and 803?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -10 + 1 + 2 - (-12 - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 303 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i + 9 = 2*y + 3*i, -3*y = -2*i + 4. Suppose -5*s = 3*k - 25, 0*k + 18 = 4*s + y*k. Differentiate p**2 - 4*p**s - 3 + 1 + 5 wrt p.\nAnswer: -6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = q. Let f be x(3). Is 23 a factor of 60*f\/(-12)*-3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1293 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 481 minutes after 3:59 AM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*g = 11 + 1. Suppose -q = g*c + 2*q - 48, 3*c - 2*q = 28. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c + 135 = -4*w, 0*c - 5*c = w + 28. Let d = 65\/2 + w. What is the nearest to 0 in -3\/4, 5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 717*p - 600*p + 1737 = -18 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Does 13 divide 2054?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = -2148*j**2 - 4856*j - 10. What is m(-2)?\nAnswer: 1110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.78 + 0.22. Which is the second biggest value? (a) 3 (b) m (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 80\/15393 and 20\/7.\nAnswer: 15393","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Do 99 and 2114 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 261144653?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -4, -0.5, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 134 and 2144?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Round 85.88 to zero decimal places.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*d - d - 300. Let m(j) = 24*j + 1. Let p be m(-6). Let g = d - p. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:31 PM and 2:58 AM?\nAnswer: 267","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2 in 114, -0.4, 4, -5\/7?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k = 77 - 48. Calculate the remainder when k is divided by -19*(-7 - -6) + (-3 - 0).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 29976679 is divided by 1152949.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -23164 + 46336 + 9*a**2 - 23172.\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 8734855 to the power of 1\/2, to the nearest integer?\nAnswer: 2955","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5871 is divided by 1956?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) be the third derivative of -z**6\/120 + z**5\/20 + z**4\/8 - z**3\/2 - 8*z**2. Calculate the least common multiple of a(3) and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 3.6 + 0.3. Let u = m - -0.05. Let k = u - -0.05. What is the second smallest value in k, -2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 412?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-12)\/(-15)*110\/(-4). Let c be 1\/(-3) + x\/6. Let v(k) = 3*k**2 - 4*k. Let h = -138 + 145. Let a(t) = 5*t**2 - 7*t. Determine c*a(o) + h*v(o).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 257064.\nAnswer: 2, 3, 10711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = 4*c**2 - 4*c - 1. Let u be q(3). Suppose g - 4*w - 12 = -3*g, -5*g + u = -3*w. Let f = 11 - g. Solve -k = f*k - 15 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -10011 (base 2) in base 7?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -46134 or -10?\nAnswer: -46134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {v: 13, d: 3}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Factor -2025*x**2\/11 + 403830*x\/11 - 20133169\/11.\nAnswer: -(45*x - 4487)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(832) + 2)*-5*-4.\nAnswer: 40 + 160*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 1707048610?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 12604361?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + sqrt(7) + -5 + sqrt(7) - ((sqrt(84)*2)\/sqrt(12))**2.\nAnswer: -34 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v = -15892 - -16392. What is the remainder when v is divided by 78?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.003039 rounded to 4 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) be the first derivative of 3*j**4\/8 + 3*j**3 + 27*j**2\/4 + 6*j - 15. Solve p(k) = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v - 377 + 1242 = 0. Is v 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 {r: 1, i: 4, l: 4, q: 1, n: 1, h: 3}. Give prob of sequence ir.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = q - 47873. Let s(j) = -28*j. Give s(r(c)).\nAnswer: -28*c + 1340444","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 677586 a multiple of 438?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose l + 3 - 8 = 0, 64 = n - 2*l. Let y = n + -17. Suppose 0 = 2*a - 1 - 1, -4*t + y = a. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 115 (b) -9 (c) 1\/3 (d) 4\/5 (e) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -153*q**3 + q**3 + 5*q - 5*q + 27*q**3.\nAnswer: -125*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1 - 20 - 28 + 3*y to the form a*y + i and give i.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:45 AM and 4:29 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is (-2037)\/2*22\/(-33) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) be the third derivative of t**5\/10 + t**4\/24 + 140*t**2 + 12*t. Let i(f) = -f**2. Suppose -2*x - 6 = x. Give x*i(y) - g(y).\nAnswer: -4*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c = -4169 - -4182. Solve 0 = 4*p + 3*t, -5*p + 6 - c = 2*t for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 23, -0.5, -0.04, 0.0122 in increasing order.\nAnswer: -0.5, -0.04, 0.0122, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m = 11 - -44. Let o = m - 49. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -36a1 - -2?\nAnswer: -369b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 152604004 to the power of 1\/5, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -274953, -549906, -824859, -1099812, -1374765, -1649718?\nAnswer: -1924671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = -10*b + 18. Let y(i) be the second derivative of 5*i**3\/6 - 9*i**2\/2 - i - 667. Calculate -4*q(s) - 7*y(s).\nAnswer: 5*s - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 39*z + 130 = -27*z + 92*z. Solve -5*i = -5*m + 5 + 5, 31 = z*m + 2*i for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17*r = -16*r + 5*x - 122885, -4*r + 2*x + 491408 = 0. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 175, 2\/13, 5, 0, -2, 2 in increasing order.\nAnswer: -2, 0, 2\/13, 2, 5, 175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (5\/(-10) + (-3)\/2)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Work out -2 * -5108.\nAnswer: 10216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 178784, 357564, 536344?\nAnswer: 715124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -87 = -4*d + 345. What is the highest common divisor of 36 and d?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) = -727*v**2. Let l(i) = 2*i + 3. Determine l(b(y)).\nAnswer: -1454*y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 285*z - 793 wrt z.\nAnswer: 285","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose y + 4*d = 24, -576*y - 24 = -573*y - 4*d. Solve y = -11*z + 313 - 225 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4964099017 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -2412 divided by -36\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*l + 21*g - 12*g - 66, -l - 5*g + 43 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = -5*x**3. Let b be g(1). What is the units digit of 12*(b\/(-4) - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 152 and 380.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b = -3 + 9. Suppose 11 = 2*r - k, 3*r - 5*k + 13 - 12 = 0. Suppose -3*u + r = -c, -5*c = -0*u + 2*u - 11. Solve u*t = b*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -63024.2 to the nearest 100.\nAnswer: -63000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 39022?\nAnswer: 2, 109, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s = 8 + -12. Let v be (10\/(-45))\/((-8)\/(-6)). Which is the nearest to 1? (a) s (b) v (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 2 + -1. Which is the third smallest value? (a) -3\/7 (b) y (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -0.69, -6, -0.4, 608.25, 4?\nAnswer: -0.69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 710.\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 147*n**4 + 20 + 0 - 128*n**4 wrt n?\nAnswer: 76*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -57 by 38.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -84*o + 4544 = -80*o. What is the tens digit of 18\/((-15)\/5) + o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 r and 2 y when three letters picked without replacement from uyurruuuyhhuyru?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = -y + 6. Let i(u) = -3. Let h(j) = c(j) + 2*i(j). Let z(s) = 7*s**2 - 1. What is h(z(l))?\nAnswer: -7*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (4\/28)\/((-29)\/116)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-798)\/(-28))\/(2\/(-4)). Let n = i + 136. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 3 - 6 - ((-1 - (3 - -1)) + -8)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-84)\/(-136248))\/((-26)\/8). Which is greater: 1 or o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -105\/1558 and 37\/3138.\nAnswer: 2444502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -19 - (21 - 69) - 26?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor 1298*h**2 - 1022*h - 3148.\nAnswer: 2*(h - 2)*(649*h + 787)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -231105 divided by 602\nAnswer: -33015\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = 3*o**2 - 3*o - 5. Determine r(5).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -61, -56, -43, -16, 31?\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) be the second derivative of 5\/12*g**4 - 1\/240*g**6 + 5*g + 0*g**3 + 1\/30*g**5 + 0*g**2 + 0. Let d(h) be the third derivative of n(h). Determine d(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.2+2436.63554\nAnswer: 2436.83554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let o = -105.9999875 + 106. What is o rounded to six dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = n**2 - 8*n - 5. Suppose -5*f + 33 = c, 0 = -5*f + 2*c + 50 - 11. Give b(f).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = r**2 - r + 22. Let y be v(0). Suppose 0 = -3*z + z + y. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -6486, -13005, -19526, -26049, -32574, -39101?\nAnswer: -45630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u**(-2)\/u)\/u**(-10))**(-25)\/((u*u**2)**(-35))**(-31) assuming u is positive.\nAnswer: u**(-3430)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -33120502 - -33?\nAnswer: -33120425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i = 20 + 0. Let n = i - -9. Let d be ((-12)\/(-108))\/((-1)\/(-261)). Calculate the greatest common factor of n and d.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4 - (11 + (-5 - -5))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p = -30 + 106. Let d(n) = 18*n - 8. Let k be d(11). Calculate the highest common divisor of p and k.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -16 + 38 - (7 + 19)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -14*z + 73233 + 48758 - 6141. List the prime factors of z.\nAnswer: 5, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 381592, 381563, 381534, 381505?\nAnswer: 381476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0008416274 rounded to 5 decimal places?\nAnswer: -0.00084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -71*t - t + 58157 = -72019. Calculate the highest common divisor of 32 and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*x**4 - 304*x**3 + 1924*x**2 - 1824*x - 1728 = 0.\nAnswer: -4\/7, 2, 6, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x be 1085\/15 + 3\/(9\/2). Suppose o + 0*o = 3*h - 48, -5*h = -4*o - x. Let r = h + -14. Solve -5*n = 2*u + 23 - 9, r*u + n = 5 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -157 - -158. Let h = 119 + y. Is 7 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) be the first derivative of -u**5\/120 + u**4\/24 - u**3\/12 + u**2\/12 + 9*u + 1. Let f(d) be the first derivative of x(d). Solve f(w) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = -r**3 - 9*r**2 - 3*r - 195. Let p(l) = l**2 + l + 32. Let h(j) = -d(j) - 6*p(j). Let k(y) = -3*y**2 + 2*y - 2. Give 2*h(g) + 3*k(g).\nAnswer: 2*g**3 - 3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is ((-232)\/32 - -6)\/(2\/(-32)) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1007461 (base 10) in base 8?\nAnswer: 3657545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sum 261 and 84850.\nAnswer: 85111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {i: 2, u: 6, c: 2, n: 1, f: 1}. What is prob of picking 1 i and 1 n?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = o**3 - 6*o + 3 + 32*o**2 - 35*o**2 - 1. Calculate t(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -268\/5*b**2 + 0*b + 0 - 2\/5*b**5 + 534\/5*b**3 - 264\/5*b**4.\nAnswer: -2*b**2*(b - 1)**2*(b + 134)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z - 6 = -5*z. Suppose 3*b - z = 0, -4*f - 387 = b - 2624. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -17*h - 2*h + 1 + 8*h to i*h + f and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand 13*u**5 + 4*u**2 - 4*u**2 + 4*u**5 - 5*u**5 + 0*u**5 - 3*u**5 - 3*u + 3*u + (-2*u**2 - 2*u**2 + 3*u**2)*(-2*u + 2*u + 2*u**3).\nAnswer: 7*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 t and 2 g when three letters picked without replacement from {u: 1, f: 1, s: 1, g: 2, i: 1, t: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Divide -226884 by 2.\nAnswer: -113442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 773*y**3 - 44*y**2 - 4*y?\nAnswer: 4638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 6 + -2 - (-72 - -3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-779132)\/(-780) - (-4)\/(-26). Let a = g - 998. Let u = 907\/30 - a. Calculate the common denominator of u and -143\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = -t**3 + 2*t**2 - 2*t + 3. Let v be a(2). Let d = -2\/3517 - -298977\/56272. Find the common denominator of (-1)\/(-22)*29*v and d.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u*u\/(u**(-2\/43)*u)*u**8*u)\/(u**(-37)\/((u**(-1\/3)\/u*u)\/u)) assuming u is positive.\nAnswer: u**(5897\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 12 = -4*a - 4*z, 2*a + 43*z = 40*z - 6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 1209\/(-156)*168\/189*(-6)\/8\nAnswer: 31\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is (0 + 22 - 40 - (-10 + 0)) + (-5 - 60)?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -290.06538 - 0.1\nAnswer: -290.16538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 5256 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is -1876269 bigger than -3\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.1 + -0.5. Let m be 0 + (3\/4 - 1\/2). What is the nearest to m in s, 4\/13, -3?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = 5*y. Let s(g) = -21*g**2 + 63*g + 3. Let v(p) = 12*f(p) - s(p). Let o(j) = 252*j**2 - 35*j - 35. Give 3*o(b) - 35*v(b).\nAnswer: 21*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (84\/(-63))\/((-16)\/(-12)*(-22)\/8)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (756\/(-210)*(-2)\/(-4))\/((-24)\/(-80)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Add -44139880331.018 and 0.5.\nAnswer: -44139880330.518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = -7*l - 8. Calculate f(-5).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 1069169 - -687?\nAnswer: 1069856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide 863222540?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1297, 865, -255, -2411, -5951, -11223, -18575, -28355?\nAnswer: -40911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = w**2 + 170*w - 15830. Calculate d(-235).\nAnswer: -555","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x = -14 + 20. List the prime factors of (-16)\/(-2 - (-9)\/x).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = -5*u + 22. Let k = u - 5. Suppose 5*d - 2*z - 68 = k, -4*d - z = -5*z - 64. Calculate the greatest common factor of 24 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 2, m: 1, y: 3, u: 4, k: 2}. What is prob of picking 1 y and 1 u?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -3 - 18908?\nAnswer: -18911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = -x**3 + 2*x**2 - 8*x + 63. What is g(5)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 0.864551 rounded to 4 decimal places?\nAnswer: 0.8646","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 6*m + 1878*x - 1879*x - 69, 3*m - 36 = x for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is ((-2)\/(-11))\/(2\/22)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 112 and 196.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 581 minutes before 5:56 PM?\nAnswer: 8:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v = -2\/1723 + 29297\/5169. Find the common denominator of -17\/465 and v.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 30586726 is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j = -72710012149.2399972 - -72705943597.24. Let p = j + 4068551. Let z = 1 + p. Round z to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h**4*h*h\/((h\/(h*h\/(h*h\/h**(5\/4)*h))*h)\/h))**(-6\/11))**(1\/9) assuming h is positive.\nAnswer: h**(-7\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 22*w**4 + 44*w**3 + 3735*w**2 wrt w?\nAnswer: 528*w + 264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.0112*-0.03.\nAnswer: 0.000336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 14 divided by 2835\nAnswer: 2\/405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = -15*k**2 + k. Let v(d) = -5*d + 176. Determine v(c(h)).\nAnswer: 75*h**2 - 5*h + 176","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*p**2 - 675*p + 1370.\nAnswer: -5*(p - 2)*(p + 137)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2\/(-6)*9\/15?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -8.87*9.\nAnswer: -79.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = h**3 - 9*h**2 + 11*h - 1. Suppose 4*c - 5*i = 12 + 20, -2*c = -4*i - 16. Let k be y(c). Calculate the greatest common divisor of 92 and k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2137*w = -130*w - 115617 for w.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 30461 is divided by 30358.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Divide -458 by 1.\nAnswer: -458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2478)\/14160*(-2)\/7.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -17, -1\/6, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = h**2 - 5*h + 3 - 1 + 2*h. Let o be (-48)\/(-9)*(-21)\/(-14). Is t(o) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = -2*i. Let n(w) = -3 - 459*w - 2*w**2 + 459*w + 3*w**2. Give n(p(l)).\nAnswer: 4*l**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -h**2 - 3*h**3 + 22*h + 7*h**2 - 2*h**2 + 152*h wrt h?\nAnswer: -18*h + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 8414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = 149*p + 412*p - 59*p - 122 - 67 - 165*p. Is i(10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = -11*s**2 + 3*s - 280. Let v(o) = 3*o**2 - o + 93. Let a(y) = 2*g(y) + 7*v(y). What is the first derivative of a(h) wrt h?\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve f = 3*i + 2*i + 36, -2*f = -38*f - i + 19 + 372 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Factor -21*u**2\/4 + 2469*u - 705.\nAnswer: -3*(u - 470)*(7*u - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let 597*c**3 - c**2\/3 - 597*c + 1\/3 = 0. Calculate c.\nAnswer: -1, 1\/1791, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = 2*m**4 - 2*m**3 + 2*m + 1. Suppose 3*o = -s + 2 - 5, -4*o = -s + 4. Let a(g) = g**3 - g + 1. Let y(w) = o*j(w) + 3*a(w). Solve y(i) = 0.\nAnswer: -1, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = -989*i - 7325. What is o(-7)?\nAnswer: -402","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify v**(-1\/3)\/(v\/(v*(v**6\/v)\/v*v))*(v\/v**0*v)**25 assuming v is positive.\nAnswer: v**(164\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Determine s so that -4*s**2 + 72748*s - 310507968 = 0.\nAnswer: 6843, 11344","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v**(-2\/9)\/(v\/(v*v**(2\/7)*v)))\/((v*v**0)\/((v**0\/v*v)\/v)))\/(v\/v**(-1\/17)*v**5*(v**(-1))**(-27)) assuming v is positive.\nAnswer: v**(-36409\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1010111111 + -10?\nAnswer: 1010111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g be 104\/(-39)*6\/(-4) - -644. Suppose -10*t + 8*t = -v - 255, g = 5*t + v. Is 53 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 10, 2, -5 in decreasing order.\nAnswer: 10, 4, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 6663238 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1158?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 302 and 2757864?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is (-12)\/(-20) + 570\/(-75)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 19323826 to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Factor -q**3\/2 + 375*q**2 - 27767*q\/2 + 13509.\nAnswer: -(q - 711)*(q - 38)*(q - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x + 3*a - 170 = 0, -2*x + 4*a - 27 = -169. Calculate the remainder when 479 is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (351 - 824 - 868)*(22*w - 1 - 1 - 14*w).\nAnswer: -10728*w + 2682","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -683.41 rounded to the nearest 10?\nAnswer: -680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i = -5 + 3. Let s be -5 - (-10)\/(-9 + 10). Let y be 155\/(-186)*s\/(75\/(-12)). What is the nearest to y in 0.3, 1, i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = 239*f + 62. Is c(15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:41 PM and 2:25 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is p in p**4 - 2174442*p**3 + 1576044258768*p**2 - 380753379082560384*p - 11424019871020446720 = 0?\nAnswer: -30, 724824","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 8533798 and 1456.\nAnswer: 68270384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2 - -3 - (-1 - 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = -3*u**3 + 32*u**2 - 63*u - 4. Let z be s(8). Solve -17*p - z*f = -22*p - 22, -12 = -4*f for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 21215 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 1\/3 (b) 1124 (c) 6 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -1609*c**4 + 14407*c**3 - 95*c**2 + 5321*c + 15?\nAnswer: -38616*c + 86442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 56.28*-4660.\nAnswer: -262264.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 105*f**2 - 55*f**2 - 52*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = i**3 - 223*i**2 - 9908*i - 2601. Calculate o(261).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = 2*p**2 - 135*p + 1649. What is r(16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 572 minutes before 8:03 AM?\nAnswer: 10:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o - 45 = 5*d, 20 = 2*d - 6*d. Let k(m) = -8*m - 1. What is the remainder when k(-3) is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) be the second derivative of 19463*x**3\/3 - 16*x**2 + 3*x. Let v be s(20). Let l = -1881512 - v. What is l rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 4 - (242\/66 + 3\/9). Let k(i) be the first derivative of -5 + x*i - 3\/5*i**2 + 2\/15*i**3. Factor k(w).\nAnswer: 2*w*(w - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3 + 8*x**3 + 6 + 1 - 4.\nAnswer: 8*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*x + 0*x + 4 + 5*x**3 + x**2 - 7*x**3 + (-x + 4*x - 2*x)*(-1 - x**2 + 1) to the form t + u*x**2 + c*x + g*x**3 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 28\/(-5) - (28 - 34)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 162 a factor of 15108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*j = 5*w + 114, w - 54*j = -46*j for w.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((100\/(-420))\/((-300)\/336))\/(6\/(-10)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 33\/9 - (-5)\/15. Suppose -5 = -t*u + 3. Suppose 3*y + 4 = 7*y. Put u, 0, y in descending order.\nAnswer: u, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 68 divide 82834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) be the third derivative of t**6\/120 - 11*t**5\/30 - 25*t**4\/24 + 23*t**3\/3 - 10*t**2 - t. Let c be z(23). Put 8, c, 2 in increasing order.\nAnswer: c, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -t + 8*t - 56. Suppose 3*y - 2*h + 29 = -t, -2*h = -y - 19. Let w(v) = -2*v**3 - 9*v**2 + 5*v - 11. Is w(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-3)\/(-2 - 1) + -1. Solve -5*r + 3*r = x for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 284212 and -29.41?\nAnswer: 284241.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) be the second derivative of 5*x**8\/4 - x**6\/30 + 9*x**5\/20 + 41*x**4\/12 + 2*x + 1880. Find the third derivative of m(p) wrt p.\nAnswer: 8400*p**3 - 24*p + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 101992 and 46360?\nAnswer: 509960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 26513739 and 413.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1300708?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = -3*p + 2*p**2 + 2*p + p**3 - 7 + 7*p + 5*p**2. Let f = -9 + 4. What is the units digit of d(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 8 and 61.\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1733, -3499, -5269, -7043?\nAnswer: -8821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (1 - 0)\/(6\/(-12)) + 119.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 1, 27 in increasing order.\nAnswer: -3, 1, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j = -2*h + 38, 4*j + j = -4*h + 62. Suppose -5*x = h - 78. Calculate the remainder when 58 is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in -0.02, -1, 2?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -568058*c**4 - 10*c**2 + 59511 wrt c.\nAnswer: -13633392*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express -2*k**4 - k**3 + 3*k**4 + 0*k**4 - 2 - 2*k**4 as y*k**4 + t + v*k**2 + d*k**3 + h*k and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (17 - 62) + 2 + -2 + (3 - 5 - -1)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y = -223 - -227. Solve -51 = y*c - 31 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 19018026, 19018022, 19018016, 19018008?\nAnswer: 19017998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) be the first derivative of -1\/3*b**3 - 8 - 7\/2*b**2 - b. Give p(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-8)\/10*(-10)\/12*-3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t be 270\/(-36)*(-8)\/10. Let w(l) = -l**3 + l**2 - l + 1. Let s(d) = 5*d**3 - 6*d**2 + 8*d - 8. Give t*w(o) + s(o).\nAnswer: -o**3 + 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:12 AM and 3:40 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 11 - -10110000100101101110111001?\nAnswer: 10110000100101101110111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand ((d + 4*d - 4*d)*(-3 + 0 + 0) + 3*d - 4*d + 2*d)*(0*d + 5*d + 4*d).\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z + 21 = 9*z. What is the second biggest value in 0, z, 10\/7?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose y - 2*g = -3*y + 10, -2*y = 5*g + 1. Let k be (2 - 5\/2)*-6. Solve y*q - q = -k for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) be the first derivative of -2*i**7\/315 - i**6\/360 - i**2\/2 - 11. Let h(s) be the second derivative of c(s). Factor h(d).\nAnswer: -d**3*(4*d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = -g - 5. Let j be n(9). Let i = 9 + j. Let f be 1 + i + 1*434. What is f rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.049732658 and -5?\nAnswer: -0.24866329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = 7*m**2 + 2*m. What is o(2)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -11, -88, -217, -398, -631?\nAnswer: -916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose b + 16 = -20. Is (-23358)\/b + 2\/12 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -14 + -9870bd?\nAnswer: -9870d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ttw when three letters picked without replacement from rrrwttr?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1147 is divided by 170.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -51*s**2 - 9*s**2 - 3*s + s**3 - 3*s**3 - 16*s**2.\nAnswer: -2*s**3 - 76*s**2 - 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put -0.3, -0.16, -2\/37 in decreasing order.\nAnswer: -2\/37, -0.16, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from aeppoadppeaacedpceo. What is prob of sequence aod?\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 100198 and 170.\nAnswer: 500990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = -j - 2. Let g(r) = 1. Let t(f) = -3*g(f) - s(f). What is t(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -23*c + 1944 = -19*c. Let i = -483 + c. What is the smallest common multiple of i and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2045 or -1905?\nAnswer: -2045","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express (0 - 1 - 3)*(2*z - z + z)*(-3 - 13*z**2 + 17 - 10) in the form w*z**2 + q*z + l*z**3 + s and give l.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 42 minutes before 2:04 PM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify j**(-2\/7)\/(j*j**(3\/17)*j) assuming j is positive.\nAnswer: j**(-293\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p = 13.9 - 13.8. Put -0.3, -0.45, p, 5 in descending order.\nAnswer: 5, p, -0.3, -0.45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 385 and 76395.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Factor 63648484*p**2\/7 - 29422864*p\/7 + 3400336\/7.\nAnswer: 4*(3989*p - 922)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*f - 45 = 3*f. Suppose -2*i + f = -i. Find the second derivative of 6*p - i*p - 5*p**3 - 5*p**3 wrt p.\nAnswer: -60*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 163027.\nAnswer: 163027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 - 4 + 2)*(4505 - 226*d**3 - 4505)*(2 - 1 + 1).\nAnswer: 1808*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = -6 + 3*n + n - 2*n. Is 8 a factor of v(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = j**3 - 4*j**2 - 12*j + 2. Let n be l(6). Solve -4*a = -10 + n for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = -40*j - 3227. Determine h(-81).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 2*-10*608\/1216\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 16843 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 692185?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 60 and 45.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (-7*c**2 - 5*c**2 + 6*c**2)*((-31*c - 20*c + 73*c)*(-2*c - c + 5*c) - 2*c**2 + c**2 + 18*c**2).\nAnswer: -366*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor -q**2\/2 - 440*q\/3 - 293\/6.\nAnswer: -(q + 293)*(3*q + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 9464?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 9d9 (base 16) to base 4\nAnswer: 213121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = v**2 - 83*v - 341. Determine y(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -12 = -4*s - 5*l, -3*s - 2*s + 10 = 5*l for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -0.2, -4466, 11\/5, 0.1, -4, 0.2, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 41 (base 9) in base 5?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l = 25 + -8. Let o = l + -9. Let y = 25 - o. What is the highest common factor of 51 and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -31*s - 159901 = -11*s + 30*s - 156601 for s.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = -5*c**3 + 2*c**2 + 3*c + 1. List the prime factors of z(-2).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 6 + 4 - 20 - 2*f**2 + 4*f**3 + 36*f - 3*f**3 + 11 to w*f**2 + r + y*f**3 + d*f and give d.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -35 = -3*v - 23. Solve 5*d - 4*w - 28 = -6*w, -d = -v*w + 12 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*h**3 + 5215747 - 5215747.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f + 4*a = -335, 5*f - 16*a + 12*a = 545. Suppose 13*k = 6*k + f. Solve i - 4*i + k = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -9, -1\/15, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6781 is divided by 483.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*sqrt(1216) + -4 + sqrt(1216) + (sqrt(304) + -2*sqrt(304) + -5)**2.\nAnswer: 64*sqrt(19) + 325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = 34*u**3 + u**2 - 3*u + 2. List the prime factors of r(1).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -35660765 (base 8) to base 15\nAnswer: -a482ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -191, -1661, -5641, -13385, -26147, -45181, -71741?\n\"Answer: -209*u**3 - u**2 - 4*u + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 5 and -0.0039336?\nAnswer: -0.019668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put -2, 0, -4, -23 in descending order.\nAnswer: 0, -2, -4, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -36604 in -1, 0.11, -0.3, -1\/8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o = -87 - -68. Let g be (-2)\/4*(-120)\/20. Let h be (o\/g + 3)*72\/(-15). Solve -4 = 4*d + h for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 0 + (-1)\/((-3)\/18). Suppose -s = 3*f - 4*f. Let b = -6 - -15. Calculate the remainder when b is divided by f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 6 + 2. Let y(s) = -s + 10. Let o be y(z). Suppose f = 20 + o. Does 11 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 18 + 6 + -2 + -342 + 324.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = 5*g - 3. Let v be (135\/(-18))\/(6\/(-8)). Let k(l) = -6 - l**4 + v - 3. Let s(u) = 3*k(u) + o(u). What is the second derivative of s(w) wrt w?\nAnswer: -36*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k*(k\/k**16)\/k)\/k**(-1\/16) assuming k is positive.\nAnswer: k**(-239\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 594900?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 3424729 to the power of 1\/2, to the nearest integer?\nAnswer: 1851","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j = -11 + 11. What is the closest to -0.3 in 1, -2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) be the first derivative of q**6\/9 - 2*q**5\/45 - q**4\/2 + 2*q**3\/3 - 2*q**2\/9 - 9. Let p(h) = 0. What is h?\nAnswer: -2, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c + 4*q - 215834 = 0, 119*c + 2*q = 122*c - 323775. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -24\/17 - -38\/51. Which is the fourth smallest value? (a) -4\/9 (b) -0.1 (c) r (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 19 a factor of 2808079160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 637434 and 840.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} {"text":"Question: What is the closest to 6 in -81, 1\/14, -3\/8, 2\/9, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1*sqrt(704))**2 - (sqrt(77)*1)\/sqrt(7)) + -5.\nAnswer: -sqrt(11) + 699","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 47332, 47398, 47464?\nAnswer: 47530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n = -526 + 370. Let w = -156.000147 - n. What is w rounded to five decimal places?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = -2*z. Let i(l) = -l. Let j(u) = -6*b(u) + 11*i(u). Let x(g) = -g**2 - 13. Give x(j(n)).\nAnswer: -n**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Subtract 3430 from -4.\nAnswer: -3434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -3, 145\/8, -23\/4, 3, 1.4?\nAnswer: 145\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 56, 100, 146, 194?\nAnswer: 244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 897888 and 152832.\nAnswer: 7183104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00446371078 to 6 decimal places.\nAnswer: 0.004464","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l = -3*q - 7, -4*l - 2*q - 12 = 2*q. Let 0*r**2 + r - r**2 + l + 5*r**3 - 6*r**3 = 0. Calculate r.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 71 + -69. Let w = 1742 + -24407\/14. Let z = -6\/7 - w. Sort n, 3, 2\/9, z.\nAnswer: 2\/9, z, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = c**2 - 2*c - 4. Let v be n(4). Let u = 3 + 0. Factor 7*j**4 - 7*j**v + j**u - j**5.\nAnswer: -j**3*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 779 is divided by 192?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.259? (a) -4 (b) 0.2 (c) 1.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r = 80 + -21. Suppose 3*s + 0*w = w - 188, -r = s - 4*w. Let d = s + 120. Is d a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 1154, 2 in increasing order.\nAnswer: -3, 2, 1154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a = -27054 + 28248. Calculate the remainder when a is divided by 140.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) be the first derivative of -u**4\/4 - 7*u**3 - 21*u**2\/2 - u - 68. Let n be (-99)\/5 - 2\/10. What is the tens digit of d(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {e: 9, p: 1, h: 7, x: 1}. Give prob of picking 1 e and 3 h.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*z - 59 = -167. Let x(r) = z*r**2 - 7*r**2 - r**2 + 5*r + 22 + 10*r + r. Determine x(-14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 8756098 to the nearest integer?\nAnswer: 2959","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g = -0*g - 2640. What is g rounded to the nearest 100?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -6395.5 to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4021*c + 2*c**2 + 4020*c - 8045*c + 2*c**3 - 1 to r*c**2 + i*c + j*c**3 + q and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1820\/9 or -202?\nAnswer: -202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -2 + -65?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -1684, -3066, -5442, -8818, -13200, -18594?\n\"Answer: -q**3 - 491*q**2 + 98*q - 1290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l = 105411 + -61775. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -5 times -365907?\nAnswer: 1829535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 9 and 8689356?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*w + 4 - 0. Let r = -4 + 2. Let h = -5\/2 - r. Put 3, h, w in descending order.\nAnswer: 3, h, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*s = -0*s + 3*k + 451, -2*s - 3*k = -239. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -9.18 - -0.18. Let x = l + 10. Let b = -766\/11 - -70. What is the nearest to x in -2, -0.1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 306458 is divided by 768?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -71.39160036 rounded to 2 dps?\nAnswer: -71.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 240 and 335450?\nAnswer: 8050800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 38 + (11 - (30 - 21)) + 13 + -3\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 54*x + 3*b + 24 = 57*x, 4*x - 2*b = 20. Solve -f - 2*a - 533 = -540, -x = -5*f + a for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 18 - 16. Suppose 3*f - 4*q - 16 = -r*f, 5*f - 5*q = 15. What is the remainder when 4 is divided by f*2\/4 - -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 20*f**5*y - 92068*f**2*y - 19731375*f*y wrt f.\nAnswer: 400*f**3*y - 184136*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) be the third derivative of -q**6\/120 + q**4\/12 - q**3\/6 - q**2. Let m be g(-2). Let r = 27 - m. Is 8 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 188 and 329?\nAnswer: 1316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d = -4 + 4.01. Let j = d - 0.08. Let q = -0.57 - j. Which is the second smallest value? (a) 1 (b) q (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (2\/(-4) - 1)\/(12\/(-1624)). What is the greatest common factor of m and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -30 + 59. Suppose 5 + 45 = 5*u. What is the remainder when c is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -51, -90, -131, -174, -219, -266, -315?\nAnswer: -366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -5*(-16)\/(-1600)*230\/(-4)*8?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 4 divide 13138416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -5*u**3 - 132686539*u + 1135973182 with respect to u.\nAnswer: -15*u**2 - 132686539","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -1 + 3533?\nAnswer: 3532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*(sqrt(204) + 6*(-1*sqrt(204) - sqrt(204)) - 4*-2*sqrt(204)))\/(1*(sqrt(1728) - 5*(sqrt(1728) + (sqrt(1728) - sqrt(1728)*1) - sqrt(1728)))).\nAnswer: -5*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2623675390 is divided by 768?\nAnswer: 766","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Does 11 divide 397364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 60 and 1620?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 126107 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-9)\/(3*(-2)\/(-78)). Let i be (-32)\/18 + 2 - (-44)\/w. Which is the smallest value? (a) -2\/3 (b) 12 (c) i (d) -1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 226733587 and 202?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-3)\/(30\/4)*-10. Suppose 0*k + v*k = 8. Suppose 5 = -m, -k*b - 5*m = 7 + 120. Round b to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 83, 74, 53, 14, -49?\nAnswer: -142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 18075.\nAnswer: 3, 5, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 44 - 83\/((-415)\/(-60))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 2773 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -2 + -39.55\nAnswer: -41.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -10022112 + -20200211?\nAnswer: -101000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 1786 divided by -38?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z - 15 = z. List the prime factors of z\/2*((-1316)\/20 + -1).\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17 = -2*i - 7. Let n be 2\/i + 190\/25. Calculate the highest common divisor of 16 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = -9*c**2 + 44*c + 10. Let i be u(5). Suppose 4*y = 0, 9*g - 7*g - 6 = -i*y. Determine w so that -5*w + 5\/3*w**g + 0*w**2 - 10\/3 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -108, -111, 80, 561, 1428, 2777?\n\"Answer: 16*a**3 + a**2 - 118*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i = 2.2 + -2.7. Put -4, 5\/6, i in decreasing order.\nAnswer: 5\/6, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1427999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (-p + p + 2*p)*(2 + 4*p - 2) + 172906*p - 172906*p + 635*p**2.\nAnswer: 643*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.1 - 0.2. Suppose -110 = -4*m + 2*c, 3*m + 3*c - 42 = 45. Suppose -36*u + 16 = -m*u. What is the nearest to r in 6, u, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3798 is divided by 552?\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -17\/373470 and 131\/18990?\nAnswer: 1120410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*m**3 - 2*m**3 + 3*m**3 + (3*m**2 - m**2 + 0*m**2)*(2*m - 2*m + 2*m).\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 210038319 to the nearest integer?\nAnswer: 594","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m be (1\/12*996\/(-844857))\/(0 - -1). Is m bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = 12*x**3 - 4*x**2 - 16*x - 12. Let d be p(-8). Let s = -2341 - d. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.74735 - -0.06701?\nAnswer: 0.81436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -2060487 - 5?\nAnswer: -2060492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let g = 453 - 452. Solve -u - 1 = g for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -74\/39 and 95\/2184?\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 15 - -425?\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-3716685)\/(-2277) - (-6)\/(-22)) + 1*6. What is the greatest common divisor of t and 630?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1 - 0.23085?\nAnswer: -0.13085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = -w**3 + 8*w**2 + 18*w + 15. Let s(n) = -3*n**3 + 15*n**2 + 36*n + 34. Let j(z) = 2*s(z) - 5*v(z). Determine j(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -5\/54 and 131\/72?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2230 is divided by 551.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z = -w + 8880, -4*z + 1983 = -w - 5130. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t - 6 = -0*t. Let g be (-2 - (1 - 3))\/(-1). Find the second derivative of g*x - x**4 - x**4 - t*x wrt x.\nAnswer: -24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 23425 is divided by 202?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose h - 60 = -56. Solve h = -v + 1 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 60248, 240964, 542156, 963824, 1505968, 2168588?\nAnswer: 2951684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -8259\/6937 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate (328\/82*(-7)\/2)\/(-4).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -12 (base 5) in base 7?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify n**(2\/13)*n*n\/n**(1\/4)*n*n**(-4\/3)\/((n\/n**(-7))\/n)*(n\/n**3*n)\/(n*n**(-5\/2))*(n*n**(-2\/7))**(-9) assuming n is positive.\nAnswer: n**(-12403\/1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = -n**3 + 6*n**2 - n - 4. Let s be b(6). Let y = 6 + s. List the prime factors of (-52)\/(-12) - y\/6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = 11 - 2 - 2 + y. Suppose -7*l - 111 + 35 = 5*q, 0 = -5*q + 15. Give o(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 148 minutes before 3:05 AM?\nAnswer: 12:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*l - 6*l - 134. Let x = 100 + l. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1 - 5. Let t be ((-22)\/u)\/(2\/12). Suppose -t = -6*r + 3*r. Calculate the greatest common divisor of r and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = -10*k**2 + k + 1. Let m(u) = -61*u**2 + 6*u + 6. Let o(y) = -6*l(y) + m(y). Let c(q) = -1 + 2*q**2 + 1. What is o(c(w))?\nAnswer: -4*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x = -9011 - -9034. What is the remainder when 10*(54\/4)\/1 is divided by x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -3 + 0 + 11 + 0\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = -2*x + 34. Let j be h(17). Suppose j = -3*a - 10 + 208. Does 6 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 4615.31 years to months.\nAnswer: 55383.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 106497, 110482, 114467, 118452, 122437?\n\"Answer: 3985*q + 102512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -13\/288 and -35\/3296.\nAnswer: 29664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u be (15\/(-6)*4)\/(-2). Let f(t) = -t**2 + 5*t + 9. Let r be f(u). Suppose 0 = 5*g - r - 11. What is the highest common factor of 28 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 51 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*t + 4*q + 10, 0 = -t - q + 6*q + 8. Find g such that -2\/3*g + 0 + 1\/3*g**4 - 4\/3*g**t + 5\/3*g**2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -8 + 7.8. Which is smaller: -2\/3 or i?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: (-9)\/(3375\/40)*(-3)\/(-4)\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -1053600 to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 43, -6173 in descending order.\nAnswer: 43, 3, -6173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*g - 4*w - 772, -5*w - 198 - 416 = -4*g. Suppose 4*v - 176 = -a, -5*v - 2*a + g = -61. Calculate the highest common divisor of v and 855.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -9 (base 11) to base 8.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = -x**2 + x. Let g(q) = -4*q**2 + 6*q + 2. Suppose 27*d - 26*d + 5 = 0. Calculate d*y(c) + g(c).\nAnswer: c**2 + c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*b - 1 = 4*k, -b - 3*k = 3*b - 8 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 405 a factor of 1090773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort -26, -10, 34, 1 in ascending order.\nAnswer: -26, -10, 1, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = r**3 + 17*r**2 - 26*r - 17. Let n be u(-18). Suppose 4*g - 5 = n. Let z = 37 - g. Which is the closest to 0.02? (a) 2\/7 (b) -0.3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 21 + 16d?\nAnswer: 18e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k = -35.1945 + 34.709. Round k to 2 decimal places.\nAnswer: -0.49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*t + 4*u - 135, 4*u - 9 = u. Let c be -1 + 16\/12 - (-86108)\/66. Let n = 1510 - c. Calculate the highest common factor of n and t.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) be the third derivative of 0 + 0*t**6 + 2\/105*t**7 + 0*t + 0*t**5 - 13*t**2 + 0*t**4 + t**3. Differentiate d(w) wrt w.\nAnswer: 16*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 3 + -115331350?\nAnswer: -115331343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 110716211 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 s when three letters picked without replacement from sqsdsssdsssqsqsss?\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1266850593 is divided by 1947.\nAnswer: 1944","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 22542 times 83\nAnswer: 1870986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:31 AM and 10:25 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = -3*f**3 + 2*f**2 - 56*f + 1. Let p(u) = -10*u**3 + 7*u**2 - 171*u + 4. Determine -7*b(c) + 2*p(c).\nAnswer: c**3 + 50*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6 - 3*x**2 - 7 + 13.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -15 - 3441837?\nAnswer: -3441853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:26 PM and 11:22 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -145*f**2*y**5 - 583*f**2 - 180*l**3*y**4 - l**3 - 10*l**2*y**2 wrt y?\nAnswer: -8700*f**2*y**2 - 4320*l**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = -12*v - 2. Let g(i) = -2 - 3*i - 3*i - 2*i - 5*i. Calculate 3*g(n) - 4*o(n).\nAnswer: 9*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -0.28 times 0.051?\nAnswer: -0.01428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:25 PM and 4:53 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -3620, -28665, -96612, -228911, -447012, -772365, -1226420?\n\"Answer: -3575*g**3 - g**2 - 17*g - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let -2\/7*z**2 + 32\/7*z + 32\/7 - 2\/7*z**3 = 0. What is z?\nAnswer: -4, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 39994.\nAnswer: 2, 19997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.27 * 1469.87.\nAnswer: 396.8649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:32 AM and 5:55 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round -0.033860746 to 5 decimal places.\nAnswer: -0.03386","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10783*r**2 + 2 - 2.\nAnswer: -10783*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -24? (a) 3\/5 (b) -11 (c) 4 (d) 2\/5 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = 2*n**2. Suppose 0*i = -i + 5*s, 0 = 3*s. Let p(c) be the second derivative of 0*c**3 - 1\/4*c**4 - c + 0*c**2 + i. What is k(p(d))?\nAnswer: 18*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Product of 14 and -0.24.\nAnswer: -3.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = -40*n**2. Let h(p) be the third derivative of p**4\/8 + 2*p**2 + 52*p. Calculate j(h(m)).\nAnswer: -360*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = -5982*a. Let z(j) be the second derivative of j**3\/3 + 166*j. Calculate z(h(t)).\nAnswer: -11964*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 17 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m = 98.949 - 99. Let h = -0.051 - m. What is the second biggest value in 5, 5\/2, h, 0.5?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 28248 and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 22047, 54984, 87921?\n\"Answer: 32937*s - 10890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 231395685 divided by -215?\nAnswer: -1076259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = 374*v + 4791. Is r(44) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 16 - 3 - (-173 - -172)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u = -23 - -209\/9. Let f(g) = 2*g - 4. Let z be f(4). Suppose t = -z*t. Which is the second smallest value? (a) 1 (b) u (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w + 5*v + 139 = 0, 5*w - 122 - 234 = 4*v. Let q be -1 + 2 + 8 + 0. What is the highest common divisor of q and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be -13 + 6*40\/24. Let g(w) = -9*w**3 - 4*w**2 - 2*w + 4. Let d(u) = 10*u**3 + 5*u**2 + 3*u - 5. What is i*g(x) - 2*d(x)?\nAnswer: 7*x**3 + 2*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from eqqqeeqeqeqqee. Give prob of sequence qq.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 2*i - 1)*((-1 + 11 - 38)*(0 + 0 + 2*i) + 4*i + 2*i - 5*i + 3 - 3 - i).\nAnswer: -112*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 34106 to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand -o**5 + 4 - 4 + (-2 + 1 + 3)*(-o**5 + 4*o**5 - 5*o**5) + 3*o + 2*o**5 - 3*o + 6*o**5 + 2*o**5 - 3*o**5.\nAnswer: 2*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) be the first derivative of -2*s**3\/3 - 672*s**2 - 225792*s - 1473. Factor c(f).\nAnswer: -2*(f + 336)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 8284 = -m - 2*h + 8293, 4*m + 5*h - 42 = 0 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -41 + 17*t**2 - 73 + 42 - 4*t**2 - 61 to k*t + j + p*t**2 and give p.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = g - 11. Let z be x(9). Let p(d) be the third derivative of d**4\/24 - d**3\/3 + 6*d**2. Determine p(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 3281, 14676, 33649, 60182, 94257, 135856, 184961, 241554?\nAnswer: 305617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 36344 and 292600.\nAnswer: 17263400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in -2\/485, -0.2, -79, -3?\nAnswer: -2\/485","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 5409503 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = -a - 4*w, 0*w = -5*a - 4*w - 5. Let o be a\/3 + (-4)\/(-12). Suppose o = y - 2 - 2. Solve 0 = -x - y + 7 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 334294\/7 - 47885. Let j = a - -129. Which is smaller: 0 or j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = -21 + 7*u**2 - 39*u**3 + 38*u**3 + 32 - u. Calculate t(8).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = 4615*n - 1919831. Calculate r(416).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) be the first derivative of t**4\/4 - t**3 + 3*t**2 - 3*t - 178. Let f(q) = -4*q**3 + 13*q**2 - 24*q + 13. Calculate 6*f(h) + 26*x(h).\nAnswer: 2*h**3 + 12*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -10011011 + 1001011100010110100?\nAnswer: 1001011100000011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g = -7 - -11. Suppose 0*r + 12 = -g*r. What is the units digit of (-4)\/(-3) + r\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -366351*l + 366351*l - 248 - 35*l**2.\nAnswer: -35*l**2 - 248","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 22413060 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + (-2 + sqrt(19))*3)**2 + sqrt(133)\/(2*sqrt(63) - sqrt(63)).\nAnswer: -89*sqrt(19)\/3 + 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 42746?\nAnswer: 2, 11, 29, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) be the third derivative of -p**8\/84 - 2*p**7\/105 + 3*p**6\/10 - 11*p**5\/15 + 2*p**4\/3 - 144*p**2. Suppose g(c) = 0. What is c?\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*t = 5*n - 4130, -5*n + 2*n = -4*t - 2450. Let w = n - 811. Calculate the remainder when (-234)\/(-10) - (-4)\/(-10) is divided by w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -1365 to the nearest 100.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a + 3*a + 30 = 0. Let q(f) = -f**2 - 3*f + 2. What is the remainder when q(-3) is divided by 3\/(-15) - a\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 82*f**3*m**3 + 2*f**3 + 1202*f**2*m - 9*m**5 wrt m.\nAnswer: 492*f**3*m - 180*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 82777 is divided by 678?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in -0.2, -2, 3\/8, 0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 18554 + -4?\nAnswer: 18550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 15294 is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {q: 13, w: 3, m: 2}. Give prob of picking 2 w and 2 q.\nAnswer: 13\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 + 106 = 3*p. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 98*t - 109*t - 110 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 24*d**3 + 40*d**3 - 2*d**3.\nAnswer: 62*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (2586 + 2308 + 901)*(-1 + 3 - 4)*(-2 - o + 2 + 0*o - 4*o + 2*o + o + 3*o - 3*o + (2*o - 1 + 1)*(4 + 3 - 5)).\nAnswer: -23180*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f = 9 - 4. Suppose 9 = -0*y + 9*y. Calculate the greatest common divisor of f and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 4 times -466402\nAnswer: -1865608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2047 = -5*s - w, 51*w + 1646 = 4*s + 49*w. Suppose 4*i - 1020 = -0*i. Let j = s - i. What are the prime factors of j?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q - 4*u = -1, q - 5*q = -3*u + 72. Let p(g) = g + 31. Let r be p(q). Is (-1841)\/(-2) + (-24)\/r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -251 - -249. Let i be 1\/p*(-1 - 17). Let k be -2*(-6)\/(-15)*5. Sort 3, k, i in descending order.\nAnswer: i, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 986 is divided by 54.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 70680108?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = 327*y - 23. Let l(o) = 82*o - 6. Calculate -11*l(w) + 3*q(w).\nAnswer: 79*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 11037 = -40619*b + 40902*b for b.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is next in -4044, -4049, -4054, -4059, -4064, -4069?\nAnswer: -4074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 23.13696 weeks?\nAnswer: 233220.5568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -464, -4923, -12340, -22703, -36000, -52219, -71348?\n\"Answer: 2*m**3 - 1491*m**2 + 1025","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.5 + 0.8. Let l = 7 + -7. Let v(p) = p + 6. Let r be v(-3). What is the closest to l in r, 0.4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 15852 or 17674?\nAnswer: 15852","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = -h. Let u(n) = 5*n - 1. Suppose 6*k = 2*k + 4. Let g be 33\/6 - k\/(-2). Determine g*t(d) + u(d).\nAnswer: -d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h = -36 + 54. Calculate the remainder when h is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -113 - -125.5. Let r = 12.4832 - p. What is r rounded to 3 dps?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = 4*h - 24. Let z be p(10). Let f = z - 20. Is (f - (-10 - -3)) + 256 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 60*x - 1452 = 5928. Calculate the greatest common divisor of 1312 and x.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 56 and -3345.\nAnswer: -187320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Determine n so that -15 - 17*n**2 + 20*n**2 + 2*n**2 + 10*n = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 33 - 22. Let v = -14 + n. Let y = -0.22 - -0.02. Which is the biggest value? (a) y (b) 4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.349 - 0.051. Let t be 0*2\/(-4) - 1. What is the nearest to t in -5, y, -5\/2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + (sqrt(1300))**2 - (-2*(sqrt(13) + sqrt(13) + sqrt(156)\/sqrt(192)))**2.\nAnswer: 4147\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = -2*f + 3. Let l(o) = -3*o + 4. Let p(m) = m**3 - 4*m**2 - m. Let u be p(4). Calculate u*l(x) + 5*b(x).\nAnswer: 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 20 + (-2 - (-13)\/((-780)\/1308))\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2 - 2*v - 565*v**2 + v + 384*v**2 + 0*v + 410*v**2 to the form s + g*v + f*v**2 and give f.\nAnswer: 229","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*r - 0*r + 15, -2*r + 6*r + 0*r - 679 = 23*n - 0*r for n.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Round 326188612 to the nearest ten thousand.\nAnswer: 326190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {l: 1, q: 1, y: 1, z: 1, b: 3}. Give prob of picking 2 b.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.00026 - 0.46.\nAnswer: -0.45974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -112, -147, -176, -199, -216, -227, -232?\nAnswer: -231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Round 0.2123 to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i be (9\/(1026\/(-73435)))\/(1\/9)*8. What is i rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d - 22 = d - 2*y, 2*y = -2*d + 18. Suppose 60*k - 178 - 122 = 0. Let p = 5 - 8. Sort p, k, d.\nAnswer: p, d, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 17870, 35712, 53540, 71348, 89130, 106880, 124592?\n\"Answer: -l**3 - l**2 + 17852*l + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Does 95 divide 3391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -11\/3 (b) 0.46 (c) 9 (d) 1 (e) 2\/1175\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 8\/407313 and -41\/57114334.\nAnswer: 514029006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) be the second derivative of -s**5\/10 - 2*s**4 + 4*s**3 + 31*s**2\/2 - 51*s. Is z(-17) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = 45*w - 1. Give k(1).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 9725?\nAnswer: 5, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose t + r + 4 = -4*t, 2*r = -4*t - 8. Put -6, t, -3 in decreasing order.\nAnswer: t, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*w - 14*n = 124, 79*n - 234*n = -4*w - 79*n - 73*n + 46 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -361 = -131*k - 99. Let p(c) be the third derivative of 0*c - 7\/12*c**4 + 0 - 1\/15*c**5 + 1\/60*c**6 - 4\/3*c**3 + 13*c**k. Factor p(h).\nAnswer: 2*(h - 4)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 223091447?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -6095.72 rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -662*g + 216 = -638*g for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 13 (base 14) in base 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is (-18)\/42 - (-8)\/(-112)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*f - 6484*u = -6486*u - 15, -4*f + 25 = u for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*k + k + 2*k)*(-35 - 118*k + 35)*(-3 - 2 + 4)*(-1 + 1 - 3*k) - 4*k**3 - 9*k**3 + 18*k**3.\nAnswer: 359*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r = -75.182 + 0.182. Let k = 75.2 + r. Suppose -8*g + 3*g + 4*t = -20, -t - 5 = -5*g. Sort k, 5, 3, g in descending order.\nAnswer: 5, 3, k, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) = 18*t - 271. Let j be o(15). Which is the biggest value? (a) j (b) -8\/5 (c) 1\/4 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 126 minutes before 4:24 AM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = -2*h**3 - 17*h**2 + 14*h + 3. What is the hundreds digit of r(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*(sqrt(180) + 1))**2*4 + -3.\nAnswer: 432*sqrt(5) + 6513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*(sqrt(76)\/(3*3*sqrt(4)) - (2 + sqrt(19) + (sqrt(228)*-3)\/sqrt(12)))*5)**2.\nAnswer: -47500*sqrt(19)\/9 + 4489375\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 201176927 and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = 4*i**3 - 7*i**2 + 7. Let n(m) = -m**3 + m**2 - 1. Let q(j) = -6*n(j) - t(j). What is the remainder when 55 is divided by q(2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -76782.2707124 - 205\nAnswer: -76987.2707124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*h - 5*h + 2. Suppose h*m + 5*z - 23 = 0, -2*m - 4*z - 3 + 25 = 0. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.7756 + 0.0244. Which is the second biggest value? (a) -0.3 (b) -1\/10 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0.32 + 0.08. Let o = 41.6 + u. Let a = o - 42.000145. Round a to five dps.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -354701 and -62.\nAnswer: 21991462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*(4 + sqrt(128) + -1 + (sqrt(4)\/sqrt(2)*-6 + sqrt(2) - sqrt(2)) + sqrt(162) + 0))**2.\nAnswer: 1650*sqrt(2) + 6275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 594 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p - 18 = 17. Let q = p - -25. What is the lowest common multiple of 2 and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 159322256?\nAnswer: 2, 1123, 8867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-46)\/(-14) + 4\/(-14). Let q be z\/4*(-3 - -7). Solve -r = -p + 3*r - 10, 5*p = -q*r + 19 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + -3*(sqrt(272) + 0)*6 + (6*(-1*sqrt(272) + -3))**2)*-3.\nAnswer: -30354 - 2376*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 76\/20943 and -145\/78.\nAnswer: 41886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = -h + 52. Give a(13).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -4614001 divided by -2681\nAnswer: 1721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 4 + 285\/(-70) + 0\/(-6)\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 734126708*f**3*p**3 - 1382144*f**3*p**2 + f**3 + 83*f*p wrt p?\nAnswer: 4404760248*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = 7*u**3 + 15*u**2 - 23*u - 186. Calculate s(-6).\nAnswer: -1020","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = -w + 51 - 24 - 26. Calculate j(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 40967134 is divided by 405615?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u = 11017\/3480 + -34\/87. Find the common denominator of -35\/8 and u.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-2)\/(-36)*-1)\/(4\/16). Let i(p) = p**3 + 5*p**2 + 6*p + 4. Let h be i(-4). Let w be ((-11)\/7 - -1)\/(h + 6). What is the smallest value in 1, a, 17, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 107\/169526 and -61\/3.\nAnswer: 508578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*r = -10*r + 10. Solve r*i - 8 + 3 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 230 = 7*k - 3732. Does 101 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 7480*g - 14951*g = -7470*g - c - 17, -14*g + 2*c = 2 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = -6*r + 17. Let k(q) = 26*q. Determine k(t(f)).\nAnswer: -156*f + 442","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -5950, -11419, -16790, -22063, -27238, -32315, -37294?\n\"Answer: 49*g**2 - 5616*g - 383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 42 + (16 - 45) - -6.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 1 - 2*z**4)*(z + 10 - 10 + (-3 + 0 + 5)*(-2*z - 2*z + 2*z)).\nAnswer: 6*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (93*s - 39*s - 30*s)*(s**2 - 3*s + 3*s).\nAnswer: 24*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -174 = -3*l + 18. Is 8 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = 23 - 3*h + 4*h**2 - 3*h**2 + 41 - 4 + 7*h. Is q(14) a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 3, 5, 2, 2281, 7 in ascending order.\nAnswer: -2, 2, 3, 5, 7, 2281","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b = -125 + 126. What is the closest to b in 3, 2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1014?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*r = -5*i - 1, 4*i + r + r + 14 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-g**2 + 3 - 3)*(3*g - 2*g**2 - 3*g) + 5*g**4 + 0*g**4 - 2*g**4 + 765*g**4 - 1295*g**4 + 1273*g**4.\nAnswer: 748*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s be 7\/(1 + -22) - 32\/(-6). Suppose b + y = -0*b + 41, s*b - 2*y = 240. Suppose -4*l + b = -2*g, 18 + 22 = -5*g - 5*l. Which is bigger: g or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from fdfdfddbfdddqwfdfwd.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g = 557\/4328 - 2\/541. What is the third smallest value in -0.5, 25, g?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 60859, 60862, 60867, 60874, 60883, 60894, 60907?\nAnswer: 60922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:51 AM and 5:08 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 0.3 * 0.022751\nAnswer: 0.0068253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.11 * -0.03.\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 568 minutes before 2:46 PM?\nAnswer: 5:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -42387, -169537, -381453, -678135, -1059583?\n\"Answer: -42383*y**2 - y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y + s = 10 + 13, -4*y + 2*s = -14. Calculate the remainder when y is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 2788 - 2776. Is 3 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 234 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hvh when three letters picked without replacement from vhhehvlvhlhhhlhhlm?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is -8522 at least -8536?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h = 20 - 20.006. What is h rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 85 to the power of 1\/3, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:39 AM and 1:29 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*y**2 - 3*y**2 + 6*y**2)*(3*y**3 + 2*y**3 - 2*y**3) - 2*y**4 + 2*y**5 + 2*y**4 + 6*y**5 - 2*y**5 + 14*y**5.\nAnswer: 23*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = -3*m**2 + 18*m + 156. Calculate y(11).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1272923 and 622?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 3473 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 35 a factor of 11630080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 675 minutes after 1:42 PM?\nAnswer: 12:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19*f = 920 - 939. Suppose 2*l - 5 = 5*n, 2*l - 15 = -l. Let z be 6\/(-3)*1 + n. Is z >= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m - m = -3*i - 35, 5*m = 3*i + 83. Suppose 11*c = 51 + 37. Calculate the smallest common multiple of m and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -647*d**3*y**6 + 71*d**3*y**2 + d**3 - 2 wrt y.\nAnswer: -77640*d**3*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24*m + 23*m + 3 = 0. Sort m, 6, 8 in increasing order.\nAnswer: m, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 135.96474ms?\nAnswer: 0.002266079","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v = 3459.4 + -3456. What is the third smallest value in 0, v, -24?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 15, -14, 6, 5, -6, -11 in increasing order.\nAnswer: -14, -11, -6, 5, 6, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 5783, 7334, 9907, 13496, 18095, 23698?\nAnswer: 30299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Determine o, given that 16*o**4 - 1132*o**3 + 836*o**2 + 280*o = 0.\nAnswer: -1\/4, 0, 1, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 905475637 to the power of 1\/3, to the nearest integer?\nAnswer: 967","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = -g - 3. Let q be r(6). Let n be (q\/18)\/(1\/(-6)). Let y(p) = -p**2 + 4*p - 2. Let v be y(n). Solve k - 4 = v for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*o + o = 4*a + 6, 3 = 3*a + 3*o. Let r = -1224.97 - -1220. Let t = -5 - r. What is the nearest to a in t, 2, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -1.492921 + -0.16402. Let c = -21.343799 + m. Let d = 23 + c. Round d to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 8 in 3, 0.24, 1\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 12 + 531\/(-45) - 29\/(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -186.3 times -4\nAnswer: 745.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1262426581?\nAnswer: 13, 97109737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put 1\/5, 10805, 7\/43, 1, 0 in ascending order.\nAnswer: 0, 7\/43, 1\/5, 1, 10805","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 38657, 77044, 115181, 152942, 190201?\nAnswer: 226832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 27358 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1140 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-1 - -3)*(1 - 4). Let r be (-3)\/(-6) - (-273)\/(-6). Let d be r\/(-6)*(-568)\/a. Round d to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 4? (a) -3 (b) 19\/2 (c) -17 (d) 1\/3 (e) 0.031\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i*i\/(i**(-1\/2)*i)*i*i)\/i*i\/(i*i*(i\/(i\/((i**(1\/10)\/i)\/i)*i))\/i))\/((i*i*i*i*i**(-1\/4)*i*i)\/i**0) assuming i is positive.\nAnswer: i**(-7\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is (-8)\/(-6)*144\/(-32)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*j - 2*j + 2*j + (4 - 2 - 1)*(0*j - 4*j + 3*j))*(2*j - 2*j - 3*j) + (-5*j - 2*j - 7*j)*(0 + 0 - j) - 4*j**2 + 7*j**2 + j**2.\nAnswer: 15*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -155596699\/7 or -22228099?\nAnswer: -22228099","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k = 55 - 55. Suppose k = -m - 8 + 33. What is the remainder when 198 is divided by m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 13173696?\nAnswer: 2, 3, 22871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 3\/(-2) + 850\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = -220*k**2. Let d(w) be the third derivative of -w**5\/20 + 185*w**2. Determine v(d(r)).\nAnswer: -1980*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 3472541 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Convert 10 (base 12) to base 2.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express (8 + 8*t - 8)*(2*t**3 - 2*t**3 + 3*t**3) - 2*t**4 - t**4 + t**4 in the form k*t**2 + i + f*t**4 + a*t + r*t**3 and give f.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2 divided by -49.\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*v + 3*z - 2901, 4*v - 3*z - 1782 = 1077. Calculate the lowest common multiple of 2800 and v.\nAnswer: 25200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 234 - -905. Suppose u + v = 4*k, 3*k - 826 = 3*u + 17. What is k rounded to the nearest 10?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ggyy when four letters picked without replacement from yfgxgyygyyfgyygggyyy?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -115 - 45 = -20*g for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is -665727 < -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 0.5, 5, 3\/7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 13785206 to the power of 1\/3, to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v*v\/(v\/(v*v*v**(-4\/5))))\/v)\/v**(-20) assuming v is positive.\nAnswer: v**(106\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = p**2 - 2. Let m be x(-3). Suppose 5*q - 23 = m. Let u = 1896 - 1894. Solve -y + 1 = 4*l - 7, -u*l - y = -q for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 548617264 divided by -68577158\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 327, 333, 343, 357, 375?\nAnswer: 397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*b - b + 4*t = 17 - 55, -4*t + 66 = 40*b - 154 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose d - 5 - 1 = -5*h, -2*h = d - 3. Let r(j) = 65*j. Is 18 a factor of r(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = 12*p**2. Let a(f) = -327*f**2. What is a(d(o))?\nAnswer: -47088*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n = -4 + 11. Let h = 7.25 - n. Let f = 0.25041 - h. What is f rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 32 - 21. Suppose -5*i + 3 - 9 = 3*t, 3*i = -5*t - 26. Let q = -5 - t. Solve -q*n = -1 + l for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 12454 and 31642.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 891 is divided by 879?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l + 184 + 196 = 0. Is 36 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 36 minutes after 6:08 AM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -31*d = -35*d + 12. Suppose -2*b = -6*b. Suppose b = -c + 6*c. Solve c + d = a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -25 + 24.52. Let w = -0.02 + t. Which is the biggest value? (a) w (b) -0.4 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 32 and 248.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = -l**2 + l. Let t(q) = q**2 - 2*q - 2. Let u(d) = -d - 3. Let o be u(-6). Let r be t(o). Calculate w(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 123498178 is divided by 2670?\nAnswer: 2668","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2 in 21, 2\/7, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 177723 is divided by 88393?\nAnswer: 937","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.28 + -136.\nAnswer: -136.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert -142117 (base 8) to base 6.\nAnswer: -1024355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:27 AM and 3:21 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand -115 + 115 - 4*l + (-2 - 2 + 3)*(-2 + 2 + 2*l).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence vzvi when four letters picked without replacement from {y: 1, i: 1, j: 3, v: 5, z: 3, q: 1}.\nAnswer: 5\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -28360408, -28360409, -28360410, -28360411, -28360412?\n\"Answer: -a - 28360407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x = 20.29 + -0.29. Let n = -20 + x. Is n >= -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = x**3 + 6*x**2 + 6*x + 7. Let j be w(-5). Suppose -3*b + 81 = 2*r + j*b, r + 2*b = 39. Calculate the lowest common multiple of 18 and r.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -313 + 312. Let h be (-2)\/(-20)*(-10)\/(-4). Let x(y) = y**3 + 9*y**2 - 3*y - 1. Let f be x(-9). What is the closest to t in h, f, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 31889532 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 14193451 to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 178 is divided by (0 - (-20)\/6)*486\/36.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 223 - 220. Let a(l) = 20*l - 24*l**2 - 6*l**2 + 10*l**2 + 14*l**m + 20 + 14*l**3. Let k(v) = -4*v**3 + 3*v**2 - 3*v - 3. What is 6*a(z) + 40*k(z)?\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m = -5*q + 3050, 27*q + 1818 = 30*q - m. Solve q = -5*g + 579 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1208478 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let p = -72 - -50. Let y = p - -15. Is (-135)\/y - (-2)\/(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 79\/(-13) + -7 + 84\/(-28) + 17\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 34616 divided by 23.\nAnswer: 34616\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Divide -21 by 19.\nAnswer: -21\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1650 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:09 AM and 12:40 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -11001010011001110001010 (base 2) in base 14?\nAnswer: -c4905c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 7*v + 2056*v**3 - 7*v - 1994*v**3 - 3*v**2 to l*v + f*v**3 + b + p*v**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 3485935 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let a be (4 - -2)\/(3\/2). Let y = -51\/301 - 5\/43. Put a, y, -4 in decreasing order.\nAnswer: a, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2157987.\nAnswer: 3, 13, 55333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {v: 5, o: 1, t: 1, s: 5}. What is prob of sequence ts?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -23, -47, -41, 25, 181, 457, 883?\n\"Answer: 5*s**3 - 15*s**2 - 14*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -686790*l**2 + 28*l + 212*l**4 + 686790*l**2 wrt l?\nAnswer: 2544*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 809287?\nAnswer: 61, 13267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g be 48\/30*(-25)\/(-2). Let w(f) = g + f**2 - 20. Let n(h) = h**2. Calculate n(w(o)).\nAnswer: o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = s**3 - 4*s**2 + 8*s + 3 - 5*s**2 - 13. Suppose -v - 5*d - 15 = 0, 3*v - 30 = 2*d - 7. Suppose 46 = 3*h - v*a - 3, -3*h + 34 = -2*a. Give u(h).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 903 a factor of 717333267?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 450493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor -13*a**2 - 357*a - 162.\nAnswer: -(a + 27)*(13*a + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((((-32)\/(-50))\/(1012\/3795))\/5)\/(4\/(-70))?\nAnswer: -42\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) -3 (b) -0.114 (c) -1 (d) -2\/7 (e) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o - 12 = -5*f + 8*o, -4*o = 4*f + 12. Suppose -3*l + 3*d = 20 + 4, 0 = -3*l - 2*d + 1. Put 3, f, l in descending order.\nAnswer: 3, f, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 680, 684, 712, 770, 864, 1000, 1184?\nAnswer: 1422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Does 152 divide 4179809923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-1)\/((-1 - -2) + -2). Let j = -1 - 3. Put r, j, -5 in ascending order.\nAnswer: -5, j, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:31 PM and 8:23 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d = 75 - 65. Let c be (48 + 1)\/((-5)\/d). Let x = -57 - c. Calculate the remainder when 78 is divided by x.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 21446430 * 4\nAnswer: 85785720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is (15\/5)\/(1*1\/(-1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g + x = 1077, g + 4*g + 4*x - 2685 = 0. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3 + 2 - (8 - (-11 - -18))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 0 (base 4) to base 10\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = -65*a + 2. Let w(g) = g + 3. Give p(n) - 2*w(n).\nAnswer: -67*n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 32 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: What is 3c7b (base 13) in base 9?\nAnswer: 12860","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) be the third derivative of -i**6\/720 - i**5\/120 - 11*i**4\/4 + 25*i**2. Let g(b) be the second derivative of a(b). Determine g(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 24*s = 6*s - 90 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = -j**3 + 5*j**2 + 12*j + 5. What is k(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) 180 (b) -2 (c) -0.3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) be the first derivative of -10*a**6\/3 - 11*a**5 + 235*a**4\/4 + 5*a**3\/3 - 215*a**2\/2 + 50*a - 168. Solve d(p) = 0.\nAnswer: -5, -1, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 355 is divided by 36.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(152)*-2*3)\/sqrt(8).\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -51313 (b) -3\/56 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) be the first derivative of w**4\/4 + 3*w**3 + 3*w**2\/2 + 11. Is k(-6) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) be the third derivative of -g**6\/120 + g**5\/15 + 11*g**3 - 3*g**2 - 4. What is the derivative of d(u) wrt u?\nAnswer: -3*u**2 + 8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z = 4*b + 8, 2*z - 4*b - 2 + 0 = 0. Suppose -4*h = 5*j - 18 - 23, j = -4*h + 21. Let d be -4 + 2 + 11\/j. Which is smaller: d or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) = a**2 + 6. Suppose 1 + 5 = 2*r. Let p(c) = 3*c**2 + 18. Let x(k) = r*p(k) - 8*n(k). Let j(f) = -f**2 - 5. Determine 6*j(g) + 5*x(g).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 24801 is divided by 4017.\nAnswer: 699","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 1\/3, 4, 2\/5, 1\/4, 5, -11\/2295?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 38294.52 years?\nAnswer: 382.9452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 12870 and 396?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = i**3 + 4*i**2 + 2*i - 3. Let x be f(-3). Suppose l - 19 = -u, 4*u + x = -l + 4. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (5*c**2 - 4*c**2 - 2*c**2)*(c - c + 5*c**2) + (-4*c + 0*c + 2*c)*(-3*c + 3*c + 2*c**3) in the form g*c**3 + v*c + u*c**2 + y + i*c**4 and give i.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Divide -159058 by 42.\nAnswer: -79529\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4592280 divided by -131208.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is (-28)\/(-4) + (233540 - 1*-1*2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -113*j**3 + 87*j - 182*j + 95*j.\nAnswer: -113*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w*w**(2\/3))**(1\/16)\/((w*w**(-3)\/w)\/(w*w**(-10))) assuming w is positive.\nAnswer: w**(-283\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is -46083 at most as big as -46100?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -37.15985 - 0.9535485?\nAnswer: -38.1133985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 789*-15\nAnswer: -11835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 280254\/5 or -103\/3?\nAnswer: -103\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -235093*c + 28511*c + 25 + 13 - 44898*c.\nAnswer: -251480*c + 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + 1 + (sqrt(76)*-4)**2.\nAnswer: 1212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = d**2 + 9*d + 3. Give v(-6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y = 17813 + -9618. List the prime factors of y.\nAnswer: 5, 11, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b = 3*k + 2451, 2*b - 2*k - 736 = 242. Suppose -4*x - 2*j = -4*j - b, 4*x + j - 504 = 0. Does 25 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s**(-7\/5)\/s)\/(s\/s**(-8)))\/(((((s\/(s\/s**(-7\/5)))\/s)\/s)\/s)\/(s*s**(-22))) assuming s is positive.\nAnswer: s**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -795*j + 392*j + 8866 = 0 for j.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -45 + 135 - 46 - 44 + 120307*r**3.\nAnswer: 120307*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*f + 2*n + 11 = 7*n, 3*n - 9 = 3*f. What is the common denominator of -107\/22 and (270\/44)\/3 - f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 928\/348*(-18)\/56\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 24 and 17124702.\nAnswer: 68498808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.52 + -2.62. Let n = 2 + f. Let d = n - 0. What is the closest to d in 0, 2\/5, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.3 in -1, -2\/137, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is t in 6*t**3 - 49190*t**2 + 360452*t - 393168 = 0?\nAnswer: 4\/3, 6, 8191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 13828507.\nAnswer: 7, 11, 179591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Are 3382\/11 and 308 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2 - 1114*x + 296*x - 121*x - 312*x.\nAnswer: -1251*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 11 + -121331003303?\nAnswer: -121331003232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i - 10 = 0, 7466 = 5*l - 3*i - 2534. What is the hundreds digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -2311, -2353, -2399, -2449?\n\"Answer: -2*k**2 - 36*k - 2273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x = 209 + -105. Suppose 15*d - x = 17*d. Is d <= -52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 125331 (base 10) in base 9?\nAnswer: 210826","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {x: 3, j: 1}. What is prob of picking 3 x?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -3\/4 in -0.2, -42, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Multiply 198.6 and 6.\nAnswer: 1191.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q = -724 - -12303\/17. Which is smaller: 56 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w + 3 = -27. Is 668\/w*(-18)\/(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -175196 + 474151. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 11 + 101001110010001110000001111?\nAnswer: 101001110010001110000010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -16.72392 rounded to 2 decimal places?\nAnswer: -16.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = i**3 - i. Let s be m(-1). Let r = -31 - -33. Let w = 4.9 - 5. Which is the smallest value? (a) r (b) w (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be -1 + -3 - 1 - -21. Solve -4*y + o = -4*a - 3*y, -a - 4 = -2*y for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 23, 464982, 6\/11, -13, -4\/3?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = 49*m**2 - m - 2. Let p(d) = -d**2 - d - 1. Let g(v) = -f(v) + 2*p(v). Let w(r) = -2*r. Determine g(w(k)).\nAnswer: -204*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 3634960*n**4 + n**2 - 409819*n + 1 wrt n.\nAnswer: 87239040*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -2, 3\/7, 97, 1, -1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) be the second derivative of -307*i**6\/30 - 5*i**3\/6 - 17*i**2 - 801*i. Find the second derivative of a(b) wrt b.\nAnswer: -3684*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 1\/((16\/12)\/4). What is the highest common divisor of f and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 33647?\nAnswer: 33647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = 2*h**2 + 5*h - 1. Calculate u(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 36 (b) 60 (c) -1\/2 (d) 3\/2 (e) -1 (f) -0.1 (g) 187\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n = 581 + 53. Let b = -443 + n. What are the prime factors of b?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*t + 705 = -u + 694, 2*t - u = 8 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 14009, 13681, 13351, 13019?\n\"Answer: -x**2 - 325*x + 14335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/3? (a) 2\/9 (b) 12 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a = -15 + 19. Solve 5*c**4 - 22*c**2 + 2 - 5*c**5 + 0*c**4 + 5*c + c**4 + 16*c**3 - 2*c**a = 0.\nAnswer: -2, -1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 309, -0.2, -2, 47 in descending order.\nAnswer: 309, 47, -0.2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2888 is divided by 2869?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 40644219 and 231.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c + 21 - 9 = 0. Suppose 2*x + 4*f - 8 = 0, -3*x + c*x + 4 = 2*f. Suppose 4*u - q + 3*q - 202 = x, -3*q + 197 = 4*u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 7 + -4. Calculate the common denominator of (-82)\/70 - h\/(-5) and 63\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -615, -616, -617, -618, -619?\nAnswer: -620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 593429489?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r = 17 + 43. Let x = 251 + -971. Let u = -688 - x. Calculate the remainder when r is divided by u.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -1\/252 and 11 - (1662\/(-2268) + 12).\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 1\/2*2*5. Suppose -10 = 5*a, 2*l + 2*l + 26 = -v*a. Sort 0, l, -5.\nAnswer: -5, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 19079 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: Solve -37*f + 18*f + 2310 = 36*f for f.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**16\/(o**11*o*o))**37 assuming o is positive.\nAnswer: o**111","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (-7*m - 12*m + 33*m)*(2*m - 2*m**2 + 3*m**2 + 4*m).\nAnswer: 14*m**3 + 84*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 21313 > 21312?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -167, -332, -497, -662?\n\"Answer: -165*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2713 is divided by 895.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 892797 and 695?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f = 3.225 - 1.6. Let m = -34.365 + f. Let c = -35.6 - m. Round c to 1 decimal place.\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.5+329.254043277\nAnswer: 329.754043277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -171071, -334964, -498857, -662750, -826643, -990536?\n\"Answer: -163893*i - 7178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 4 + -7 + 4 + -4 + -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z = -5858830 - -5858889.50494. Let h = -59.5 + z. Round h to four dps.\nAnswer: 0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 960*y + 95621*y**3 - 194114*y**3 + 96168*y**3 wrt y.\nAnswer: -13950*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 64\/9 and -23\/4908.\nAnswer: 14724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b be -3 - (0 + 1 + 2145). Let s = b - -38659\/18. Calculate the common denominator of s and 37\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 4012 + 152.9872018.\nAnswer: 4164.9872018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2 + (-5*(-2 + sqrt(162) + sqrt(162) + sqrt(162)))**2)*2*-2.\nAnswer: -146192 + 10800*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 1 = -3*y + 7*o - 8*o, 5*y = -2*o for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 619742 and 55366?\nAnswer: 1786","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h = 7 + -23. Let v = h + 25. Let f be ((-24)\/9)\/(3\/(-9)). Which is greater: f or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -9 (base 10) to base 2\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from ffqqqfqfff.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 34*w - 35*w + 53767 = 3*i, 2 = -i. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/15 in 2, -20, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 u, 1 e, and 1 g when three letters picked without replacement from {f: 6, e: 5, s: 3, u: 1, g: 5}?\nAnswer: 5\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m = -1 - -4. Let b(o) = o**3 + 6*o**2 + o + 4. Let i be b(-6). Let d be (0 + -3)*i\/m. Calculate the greatest common divisor of d and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = -j**2 + 168*j + 1412. Let q be n(-8). Solve -9 = 3*y + l + q*l, -2*l = 4*y + 12 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 706930 is divided by 1880?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -3.1059 rounded to 0 decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -8307*c**3 + 22*c**2 - 1270998*c.\nAnswer: -49842*c + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = -t**3 + 5*t**2 - 9*t. Let u(j) = j**3 - 4*j**2 + 8*j. Let d(s) = -5*u(s) - 4*x(s). What is the second derivative of d(n) wrt n?\nAnswer: -6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-3)\/15)\/(((-80)\/(-352))\/((-55)\/66))?\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -8\/11 in -0.4, 1\/6, -4, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Does 14 divide 2478?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is three fifths of a millennium in years?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 6575948711 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 3 + (-3 - (-4 + 2 + 4))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from owveneo. Give prob of picking 1 w and 1 e.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 200701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 44679?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -42378*q**4 + 264*q**3 - 58006*q**2 + 7089*q wrt q.\nAnswer: -1017072*q + 1584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*i + 17 = 3*d, 2*i = 123 - 131 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 41952313?\nAnswer: 13, 809, 3989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 9332091?\nAnswer: 3, 115211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1988*n - 1994*n - 12 - 1990*n + 5973*n.\nAnswer: n - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g be 24\/2*(-2)\/(-6). Suppose 0 = -3*n + g*n - 4*h - 7, -5*n = -5*h - 20. Let z(f) = f**3 - 4*f**2 + 2*f - 1. Determine z(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (-44)\/154 - (-15)\/4 and 47\/132.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 88634105 is divided by 79.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = -273*w**3 - 4*w. Let l(x) = -128582*x**3 - 1883*x. Give -1883*j(y) + 4*l(y).\nAnswer: -269*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from sgeleegssssssegsss. Give prob of sequence sgel.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -3\/11? (a) -0.2 (b) -4 (c) -66\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -1046421 (base 7) to base 8\nAnswer: -374762","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) be the first derivative of 13*t**6\/6 + 6*t**2 + 23. What is the second derivative of r(j) wrt j?\nAnswer: 260*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = -m**2 + 4*m + 3. Let w be q(5). Let l = -47903 + 47904. Suppose 3*s - 20 = s - g, -3*g = -6. Sort w, -3, l, s in increasing order.\nAnswer: -3, w, l, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (2*a**2 - a**4 - 2*a**2)*(-1 + 0 - 2) + 19*a + 50*a**4 - 19*a in the form y*a + j*a**3 + z*a**4 + k + g*a**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = h**3 + h**2 - 27*h + 5. Give d(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Multiply -104 and -50.\nAnswer: 5200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-2036)\/(-10) - 8\/(-20). Suppose -61 + l = d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {e: 4, c: 6}. Give prob of sequence eee.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2 + (-5 - -2) + 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 26063849 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-3)\/4)\/((-945)\/(-700)*(-15)\/36).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -410*k + 2*k**2 + 162*k + 201*k + 0*k**2.\nAnswer: 2*k**2 - 47*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -3309417, -3309405, -3309391, -3309381, -3309381?\n\"Answer: -n**3 + 7*n**2 - 2*n - 3309421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u\/(u*u**7)*u*u\/(u**(-1\/4)\/u)*u*u)\/(u**(3\/4)\/(u\/(u\/(u*u**2)))) assuming u is positive.\nAnswer: sqrt(u)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (22\/3366*17)\/(8\/(-12)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k = -n - 2*n - 258, n = -k + 258. Let t = 593 + k. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 219428 is divided by 781.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*q + 4*q = -2*g + 76, q - 3*g - 33 = 0. Suppose -5*r = -a + q, -5*a - 1 - 19 = 0. Let z be 0 + (0 - (2 + r)). Put 0.4, z, 2 in descending order.\nAnswer: z, 2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 13*p**6 + p**4 - 3*p**2 - 65*p wrt p?\nAnswer: 1560*p**3 + 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d be (0 + 1)*1*4. Solve -3*o - 1 = -d*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 102034001 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t - 10 = 0, -5*j + 58 = t + 53. What is the closest to -1 in j, -0.2, 0.2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = -o. Let u(i) = -1190360*i**2. What is u(g(n))?\nAnswer: -1190360*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 14226 is divided by 107?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 102020 (base 3) to base 4\nAnswer: 10233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -0.002558984 rounded to 5 dps?\nAnswer: -0.00256","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) -0.2 (b) 0.334 (c) 2 (d) 128 (e) 1\/5 (f) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -376*t + 1954488 = -302*t. List the prime factors of t.\nAnswer: 2, 3, 31, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 m and 1 d when two letters picked without replacement from bmmdmddbjjombmm.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -257 = -6*g + 103. What is the smallest common multiple of g and 36?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = 13*z**3 - 11 - 16*z**3 - 6*z + 11 + 17*z**2. Let u be m(5). Find the second derivative of -16 + 8*c**4 - u + 36 - 13*c wrt c.\nAnswer: 96*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 0 + (-74)\/(-2) + 2. Let p = w + -20. What is the first derivative of p*s**2 - 19*s**2 + 6*s**3 + 2 wrt s?\nAnswer: 18*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -309 + 339. Calculate the remainder when 383 is divided by s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5277?\nAnswer: 3, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 19310, 77406, 174250, 309836, 484158, 697210, 948986?\n\"Answer: -x**3 + 19380*x**2 - 37*x - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 139026119 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 425 and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify q**(-4\/3)*q**(-8\/7)*(q\/(q\/q**(-4)))**(-37) assuming q is positive.\nAnswer: q**(3056\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -14? (a) 0.557 (b) -0.3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 6621.781172 - 5\nAnswer: 6616.781172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*r + 4*r - k - 18, 4 = 2*r - 3*k. Suppose 5*n - 4*m + 2*m = 35, -r = 2*n + 3*m. Suppose -5*h = -6*h + n. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 62 and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -3012504055 - -11?\nAnswer: -3012504044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: ((9\/(-6))\/3)\/(-35*(-43)\/602)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {v: 11, w: 1, s: 2}. What is prob of picking 2 s and 1 v?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 6 and 440?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 7908641 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 11481 take away -111951.56?\nAnswer: 123432.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -3 + -21d?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 76446716?\nAnswer: 2, 19111679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p = 538 + -493. Let z(c) = 359*c**3 + 2*c**2 - 1. Let f be z(1). Calculate the highest common divisor of p and f.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = 69*x**3 - 6*x**2 + 48*x - 289. Let o be z(7). Round o to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (36922\/14)\/((-194)\/(-1358))?\nAnswer: 18461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = 59*t**2 + 1472*t - 18. Let q(v) = 29*v**2 + 733*v - 8. Let m(z) = 4*j(z) - 9*q(z). Find the second derivative of m(n) wrt n.\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from jifflflfq. Give prob of sequence lq.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Divide -1298500 by 49.\nAnswer: -26500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 497660 and 6680.\nAnswer: 995320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f = -37 + 33. Let h = f - -3.08. Let d = h + 0.91999994. What is d rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2 in 14, 7, -113968?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n = -1.1948 - 0.8052. What is the second biggest value in -0.0203, -5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -648 by -320.\nAnswer: 81\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 32*w**2 - 23*w - 3.\nAnswer: 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (196 - 196 - 44*a)*(1 + 8 - 3) + (2*a + 0*a + 0*a)*(1 + 3 - 2) to w*a + r and give w.\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 76797*q - 1946 = 76658*q for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*h - 2*h - i - 18 = 0, -4*h - 736 = -5*i - 762 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Subtract -128394 from -2627.\nAnswer: 125767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Round 0.003740069 to four dps.\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) be the second derivative of -p**5\/20 + 11*p**4\/12 + 5*p**3\/6 + 4*p**2 + 95*p. What is the least common multiple of g(11) and 30?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:41 AM and 4:44 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k = -468 - -472. Does -0.275 = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -109*a + 0 + 126*a - 5 + 5.\nAnswer: 17*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3 - ((1 - 10) + 1 + 14 + -10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = 34*m**2 - 3*m + 4. Determine q(2).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zh when two letters picked without replacement from {p: 1, h: 10, z: 3, s: 2}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d = -34 + 42. Is d at least as big as 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -3793 - -1384. Let m = x - -43309\/18. Calculate the common denominator of m and 6\/(-5)*(-2 - (-20)\/(-32)).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -2581 + 170333\/66. Let m = i - -1\/66. Which is the smallest value? (a) 11 (b) m (c) -0.5 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2 divided by 36640118?\nAnswer: -1\/18320059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -86*((-1)\/4*3)\/(91\/(2912\/(-24)))\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 13606, 12873, 11724, 10219, 8418?\n\"Answer: 10*t**3 - 268*t**2 + t + 13863","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.01? (a) 3 (b) -5 (c) 10 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = -x**3 - 6*x**2 + 19*x + 13. Let z be v(-9). Let d = 100 - z. What is the remainder when 132 is divided by d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 1 + 9*i)*(5 - 18*i - 5 + (1 - 1 - 3*i)*(-3 - 2 - 4)).\nAnswer: 81*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*v - 4 + 4)*(-3 - 1 + 6)*(v**3 - 3*v**3 + 3*v**3 + 5 - 5 - 3*v**3 + (v - 2*v + 0*v)*(-4*v**2 + 5*v**2 + 0*v**2)).\nAnswer: 12*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 0.06196 less than -0.029?\nAnswer: -0.09096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Divide -8024000 by 4720.\nAnswer: -1700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o = 5.93 - 6. Let a = -0.0699952 - o. Round a to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 98*o**5 - 59*o**2*r - 18*o*r - 39*r wrt o.\nAnswer: 1960*o**3 - 118*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(40) - -2*sqrt(640))*-2)\/(sqrt(32)\/(sqrt(16)\/sqrt(4)) - (sqrt(8) - -1*sqrt(968))).\nAnswer: 18*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*x - 0*x - 10, 5*h - 31 = 2*x. Let o(b) = b**2 - 3*b + 2. Let s be (-27)\/(-6)*(-4)\/(-6). Let v be o(s). Solve h*u = v*u + 25 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = -x**3 + 8*x**2 - 8*x - 9. Let w be m(9). What is the common denominator of w\/(-16) + (-2)\/(-8) and ((-6)\/(-20))\/(4\/(-45))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 5 + -15. Let y = 8 + b. Is (y - 234)*(12\/(-3))\/8 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 23760326?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate (136\/(-16) - -5)*2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 8015076 + 5?\nAnswer: 8015081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -123, -2, -0.177?\nAnswer: -0.177","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = g + 36. Let k be z(-5). Let d = k - -4. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = 62*g**3 - 20*g**3 - 47 - 20*g**3 - 21*g**3 + 25*g**2 - 62*g. Is v(-27) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = -3 - s**3 + 9*s**2 + s - s**2 + 8*s**2 - 1. Let o be g(16). Suppose 4*t = o*t - 6152. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-12)\/(-10) - 1) + 2\/(-10). Suppose 2*w + v*w = -w. Suppose 6*g = g - 5. Sort 6, 3, g, w in decreasing order.\nAnswer: 6, 3, w, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 356370?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-304)\/(-6) + (-28)\/42. Suppose p - 6 = -4*l. Let x = l - -15. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -183*z**2\/5 - 27266*z\/5 + 149\/5.\nAnswer: -(z + 149)*(183*z - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1824 + -1114. What are the prime factors of g?\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -3376 - -3380. Let n be 33\/(-11)*(-6)\/99. Put w, n, 5, -3 in increasing order.\nAnswer: -3, n, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3021689501?\nAnswer: 461, 6554641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put -20, 1\/6, 4 in descending order.\nAnswer: 4, 1\/6, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = -3*b**2 + 1533*b - 17. Let a(t) = t**2 - 511*t + 6. Determine -17*a(g) - 6*o(g).\nAnswer: g**2 - 511*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l = 143\/603 - 1\/67. Do 0 and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -1422, 9, -56 in ascending order.\nAnswer: -1422, -56, -2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 5925209617 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is thirty-one fifths of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1084991 is divided by 100?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) = -u + 1. Let l(v) = -9*v + 7. Suppose -188*o + 194*o = 18. Give o*l(t) - 21*q(t).\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from fbrffbbfrbbffbr. What is prob of sequence bfrr?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1068*o**2 - 6254*o**2 - 3078*o**2 - 1954*o**2.\nAnswer: -12354*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is (34\/(-320) - 30\/(-150))*4?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 31030 is divided by 341.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10*k**2 - 168 + 79 + 89.\nAnswer: -10*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 461*p**4 - 1965*p**4 + 3808 - 2513 wrt p.\nAnswer: -6016*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-11)\/3 + 14\/21. What are the prime factors of (-1)\/((-3)\/(-18804)*(-7 - v))?\nAnswer: 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 124*u**3 - 4*u**2 - 9357737 + u**2 + 9357737.\nAnswer: 124*u**3 - 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is (0 - 8)*(-6 + (-147)\/(-28))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 881 - 880.6. Let o = -8\/7 - -1. Which is the second smallest value? (a) y (b) o (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6461333.\nAnswer: 6461333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) = -4*t**2 + 2*t - 1. Let j(g) = 0*g - 10 - 7*g + 5*g. Let y be j(-6). Let v(q) be the second derivative of -q**4\/12 - q**2\/2 - 3*q. Give y*v(p) - o(p).\nAnswer: 2*p**2 - 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 97 = -4*t + 77. Let d(v) be the first derivative of v**4\/4 + 2*v**3 + 5*v**2\/2 + 3*v - 1. Let x be d(t). Let g(h) = -2*h**2 + 4*h. Give g(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 265, 269, 273, 277, 281, 285?\nAnswer: 289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = -9*r**2 - 19*r - 8. Let x(j) = -11*j**2 - 18*j - 9. Determine -6*a(m) + 5*x(m).\nAnswer: -m**2 + 24*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g = 76 - 69. Which is the nearest to 1? (a) -2 (b) g (c) 0.3 (d) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -348 = -4*q - 5*s + 991, -3*q + 3*s = -1038. What is the remainder when q is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-4 + sqrt(77)\/(sqrt(756)\/sqrt(3)))**2 + 4 + 2*(sqrt(88)*-3 + sqrt(88) + sqrt(88) + sqrt(88))\/sqrt(8))*2.\nAnswer: -8*sqrt(11)\/3 + 731\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 339*y - 3618 + 21342 = 353*y. Calculate the remainder when y is divided by 313.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) be the first derivative of -5*k**2\/2 - 5*k - 16. What is the first derivative of p(n) wrt n?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from uxjuccxxcuuxxjxcj. What is prob of sequence cj?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = -t + 7*t**3 + 0 + 2 + 4*t**2 - 3*t. Is p(2) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = 2*k**2 - 3*k - 2. Let b be a(-2). Suppose 3*t + q = 119, -147 = -4*t - 3*q + 15. Suppose -b = r - t. Does 9 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 569468400 to the nearest one hundred thousand.\nAnswer: 569500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1*8*6685\/64940*3\/7.\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence wqwk when four letters picked without replacement from {q: 2, m: 2, w: 6, k: 3}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y = -190 - -1899\/10. What is the common denominator of y and 93\/14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 544 and 68?\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -2\/27, -4\/3, 100, -4\/5, -0.5, -0.1?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = -6*h**3 + h**2 + 2*h + 1. Let x be o(-1). Let c = x + -4. Suppose -c*z = -3*z + 10. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1 + (175\/56)\/5)\/((-42)\/336).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4 + 1 + sqrt(19) + 1 - -1*(1 + sqrt(76)\/sqrt(4)))**2 + 1.\nAnswer: 28*sqrt(19) + 126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = -t. Let w(b) = -b + 2. Calculate 2*i(y) - w(y).\nAnswer: -y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 54 (base 13) to base 8\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3924 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -8 + 2 + 5 + (-4 - 1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = 7*c**2 + 5*c + 9. Let l(h) = -2*h**2 - h + 1. Let k(z) = 4*z**2 + z - 13. Let v(g) = k(g) + 5*l(g). Calculate -5*d(u) - 6*v(u).\nAnswer: u**2 - u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 6? (a) 600 (b) -5 (c) 5\/2 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = 95*d - 1118. Determine u(12).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 71 - 2 - (2 + -1).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = 4*r**2 - 7*r + 2. Let v(n) = n**2 + 2. Let m(p) = -2*v(p) + x(p). Give m(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 21931435?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2*c**5*j**2 + 3*c**3*j**2 + 86*c**3 + c**2 - 515*j**2 wrt c.\nAnswer: -120*c**2*j**2 + 18*j**2 + 516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 2667026959 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -131458, -525818, -1183084, -2103256?\n\"Answer: -131453*v**2 - v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Does 67 divide 87324852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 3511450?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of w**3 + 355474*w**2 - 47*w - 6751?\nAnswer: 6*w + 710948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1800)*-1 - sqrt(1800) - -2*sqrt(18)*3)\/(-1*sqrt(726)*-2).\nAnswer: -7*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g be (10\/4)\/(-5)*0. Which is bigger: -2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*u**2 - 127552070*u + 813476528064245.\nAnswer: 5*(u - 12755207)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Express s - 6*s - 26*s in the form o + p*s and give p.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: ((-10)\/15*3)\/(0 + 4)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(180) + (sqrt(5) - 5*(sqrt(5) + -2)))**2.\nAnswer: 40*sqrt(5) + 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l be 4 - (18 - 13 - 7). Put 16, l, 5 in decreasing order.\nAnswer: 16, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) be the first derivative of u**2\/2 - 1. Let o(a) = 3*a**2 - 8*a. Let k(z) = o(z) + 2*r(z). Factor k(x).\nAnswer: 3*x*(x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -13*x**3 + 13*x**3 - 12*x**3.\nAnswer: -12*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 134 - 97 + 75 + j + 135 to the form z + f*j and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j be 3\/((-6)\/2)*0. Suppose 0 = -0*n + n - 5*c - 20, 2*n - 3*c - 12 = j. Sort n, -0.3, 0.5 in decreasing order.\nAnswer: 0.5, n, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = 3*d**3 + 6*d**2 - 23*d + 12. Let p(c) = c**3 + 2*c**2 - 8*c + 4. Let i(u) = 17*p(u) - 6*y(u). Give i(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 55 and 5865?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*a - 4*m - 16, -169*m - 20 = -2548*a + 2553*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b = -6 - -9. Let p be (-3)\/(-60)*62 - b. Let m be (4\/(-18) + 20\/225)\/(76\/(-114)). What is the closest to m in p, -5, -0.07?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 0, 17, -37, 4 in decreasing order.\nAnswer: 17, 5, 4, 0, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r\/(r**14\/r))\/r**(-6)*(r**(-1))**(-14))**26 assuming r is positive.\nAnswer: r**208","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 0.07 or -6\/31?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -218, -1020, -2408, -4382?\nAnswer: -6942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*r**3 - 5*r**3 + r**3 + (5*r + r + 4*r)*(3*r**2 + 3*r**2 - 5*r**2) + 2*r**3 - 4*r**2 + 4*r**2 + (r**2 - r**2 + 2*r**2)*(-4 + 4 + 3*r).\nAnswer: 12*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1 + 8 + 27*o - 3 - 3.\nAnswer: 27*o + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a = -5 - -2. Let d = -4 - 0. Let t = d + 4.3. What is the third smallest value in 4, t, a?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 500951 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 7955947?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 511197154.\nAnswer: 2, 13, 19661429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express (14 - 6 - 4)*(3*u + 0*u - 1 + 2*u) in the form t + v*u and give v.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c be 3\/(-1) - (-12 + 5). Let x(z) = 3 - 5*z - 5*z**2 - 1 + c*z**2 - 5. Let p be (9 - (15 - 7))*-2. Determine x(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum 161133.824 and -0.04.\nAnswer: 161133.784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 28 and 5854170?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 170931278?\nAnswer: 2, 7, 29, 43, 9791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -71\/8063331 and -35\/288.\nAnswer: 774079776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate 9\/6*(-1)\/(132\/16).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-112973133188)\/(-1780))\/(42\/35). Let w = -52890062 + i. Let s = -41\/89 + w. Calculate the common denominator of 145\/12 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2559*p**3 + 47*p**2 - 7*p**2 - 2 - 2560*p**3 to l*p**3 + d*p + m*p**2 + s and give m.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 424 minutes before 5:14 PM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2762*t + 918*t + 920*t - 3*t**3 + 924*t.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1352, -1367, -1408, -1487, -1616, -1807, -2072?\nAnswer: -2423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 807 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 32299.\nAnswer: 32299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 x and 3 y when four letters picked without replacement from xlyrwyluyuuyyylxxx.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {f: 2, g: 8, b: 3, i: 2, v: 4, w: 1}. What is prob of picking 2 b and 1 w?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Convert -270663 (base 8) to base 4.\nAnswer: -113012303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -39 - -45 - ((-21 - -19) + (-2)\/(-1)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = 9*i**2 - 2*i - 1. Let q(c) = 4*c**2 - c - 1. Let g(y) = -y**2 - 78*y + 248. Let r be g(3). What is r*q(x) - 2*s(x)?\nAnswer: 2*x**2 - x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*g - 3, 50 - 159 = -5*x - 4*g. Let t be (-6)\/x + 46\/14. Suppose t*f - v - 107 = 0, 3*f - v = 2*f + 39. List the prime factors of f.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -147*b = -288*b - 5781 for b.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 720.7101 micrograms in grams?\nAnswer: 0.0007207101","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 31351750?\nAnswer: 2, 5, 125407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Convert 681.26616 milliseconds to days.\nAnswer: 0.000007885025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-2)\/(-8) - (-15)\/4. Suppose s + 5 = -5*t - 5, -s = -5*t - 10. Solve -5*d + a + 22 = s, -14 + u = -4*d - 3*a for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -17*g + 15*g - 2*j - 6, 0 = 4*j + 12 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 15616 and 13?\nAnswer: 203008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Total of -860403881891 and -0.53.\nAnswer: -860403881891.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h be (5 + -7 + 3)*-1. Suppose 0*p + 1 = p. Let b(a) = a**2 - 1. Let f(l) = -l + 0*l**2 - 1 + 2*l**2 + l. Give h*f(s) + p*b(s).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence vl when two letters picked without replacement from lllvvv?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z be 5*(-33)\/(-22)*4\/3. Let x be 1508507\/35 - 2\/z. Round x to the nearest one thousand.\nAnswer: 43000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -296 divided by -89195?\nAnswer: 296\/89195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = 2*d**2 + 4*d + 14. Let l(p) = p**2 + 5*p + 16. Let s(g) = -5*l(g) + 6*n(g). Let f(c) = 15*c**2 - 3*c + 9. Determine -6*f(a) + 13*s(a).\nAnswer: a**2 + 5*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 8*g**2*j*u - 2*g**2*j - 5728226*g**2*u**2 - 34955*g**2 + 2*g*j - 130*g - 3*j + 2 with respect to u.\nAnswer: 8*g**2*j - 11456452*g**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 0.1, -0.1, 82849, 4, 3\/5, 38?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 31*q + 2981 = -238*q - 2*q for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3150*y - 10121*y - 737*y - 19362*y to the form z*y + v and give z.\nAnswer: -27070","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -3\/8, 7, 3\/8, 5, 8.3?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = -m**2 + m. Let i(t) = -5*t**2 + 4*t + 11. Let o(b) = i(b) - 4*r(b). Let s be o(0). Calculate the greatest common factor of s and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a - 86 - 34 = 0. Let c = a - -7. What is the highest common divisor of c and 74?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20*b**4 + 78908572*b**3 - 31563432*b**2 = 0. Calculate b.\nAnswer: -3945429, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Factor -718*p**2 - 10055*p - 42.\nAnswer: -(p + 14)*(718*p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = -15*k + 22. Does 26 divide d(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = 44*l + 1. Is z(1) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -10255 (base 6) to base 16\nAnswer: -57b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Put 4, -4, -47027, 14 in descending order.\nAnswer: 14, 4, -4, -47027","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round -1.428781088 to 1 decimal place.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u = -4*w, 6*w + w = -3*u - 52. Put -2, w, -17, -1, 17 in descending order.\nAnswer: 17, -1, -2, w, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*j**2 - 48367907*j**3 + 48368082*j**3 + 4*j**2.\nAnswer: 175*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 2 (base 5) in base 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round 435.806 to zero dps.\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*a + 6*a + 4. Let t(m) = -9*m**3 - m**2 + 1. Let j be t(a). Calculate the remainder when 11 is divided by (-4)\/((-24)\/j - -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*n**3\/7 - 3068*n**2\/7 - 18470*n\/7 - 2200.\nAnswer: 2*(n - 1540)*(n + 1)*(n + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 22665108.\nAnswer: 2, 3, 1888759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is next in 320, 319, 318, 317, 316, 315?\nAnswer: 314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = -61*m**2 - 6*m + 1. Let w(f) = f - 1. What is -c(t) - 6*w(t)?\nAnswer: 61*t**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*v + 97 = -4*h, 509*v - 47 = 2*h + 506*v for h.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t be 2\/24 + (64780\/240 - (5 - -1)). Calculate the highest common divisor of 168 and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = -2 + 5*p - p - 5*p**2 + 4*p**2. Let f be x(2). Let u be (f\/(-2) + -3)*-60. What is u rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = -p + 1. Let u(v) = -2*v + 2. Let d(y) = y**3 - y**2 + 2. Let i be d(2). Let o(m) = i*u(m) - 13*b(m). Differentiate o(g) wrt g.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n + 28 = u + 2*n, -4*n + 76 = 4*u. Let t be -2 + 20\/(u\/4). Suppose -4*v**3 - 3 + 8*v**t + 3 - 4*v**2 = 0. Calculate v.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (159 - 157)*44\/(-8).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 41 and 44.85?\nAnswer: 3.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 33961928.\nAnswer: 2, 7, 11, 13, 4241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = -o**3 + 21*o**2 + 11*o - 6. Let u(t) = 2*t**3 - 38*t**2 - 21*t + 12. Let v(f) = 11*r(f) + 6*u(f). What is v(-5)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4\/(40\/3)*51\/(2448\/(-32))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o be -1*(1 + (-30)\/5). Is 1182\/30 + (-2)\/o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*o + 6*o + 5*o)*(1116*o**2 - 1116*o**2 + 74*o**3) + (2*o - 2 + 2)*(-2*o**3 + 2*o**3 + o**3).\nAnswer: 594*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 110*t - 292*t = -2366 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i = 37 + -13. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*a + 19 = -3*s, 3*s + 2*a + 2*a = 26. Let q be ((0 - 0)*1)\/1. Let o = q + s. Sort -0.2, 0.3, o.\nAnswer: -0.2, 0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 465366 a multiple of 726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is next in 67882, 67900, 67936, 67996, 68086, 68212, 68380?\nAnswer: 68596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -55*m + 32*m + 2369. What is the remainder when m is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 1, 2\/81 in descending order.\nAnswer: 1, 2\/81, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2957, -2939, -2913, -2873, -2813, -2727?\nAnswer: -2609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y + 15 - 22 = -b, -2*y = -5*b + 8. Solve b*g - 5*k + 14 = 0, 2*g - 3*k = -8 - 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) be the second derivative of 0 + 0*q**4 + 0*q**2 - 3*q - 1\/2*q**3 - 1\/10*q**5. Find the second derivative of w(o) wrt o.\nAnswer: -12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = 2*v**2 - 5*v + 6. Let d be u(3). Let s = -2 + 5. Calculate the highest common factor of d and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -9445 + 9434. What is the fifth smallest value in -3\/4, a, -5, 1\/11, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4225*u**2 - 8440*u**2 + 4216*u**2 - 39 + 115*u - 115*u.\nAnswer: u**2 - 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 2151 divided by -3\nAnswer: -717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g = 14.13996 - 14. Let h = 0.14 - g. Round h to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 1597185 and 2484510.\nAnswer: 22360590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = 3*y - 0. Let m(h) = -h + 3. Let p(j) = -1. Let c(x) = m(x) + 3*p(x). Let r be c(y). Solve 5*v = -b + 2, -r*b + 0*b = -2*v - 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 1 - 0. Let u = -5.9 - -6. What is the nearest to 0.1 in f, -2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5*o - 4*o + 3*o.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence iz when two letters picked without replacement from zzi?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*x - 8696 = -4*t, 3*t + 7*x - 11*x - 6517 = 0. Let n = t + -1246. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 48 - 36. Let m = h + -3. Let p be (-40)\/(-105) - (-4)\/14. Are p and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 110042497 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:03 AM and 7:49 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0.3 - 4.3. Suppose 2*f = i - 2, 2*f - 3*i = -2 - 4. Which is the third biggest value? (a) j (b) -5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -97 - -102. Suppose 5*n - h = 5. Suppose 5*m = 2*j - 395, -3*m - 817 = -4*j - n*m. List the prime factors of j.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 36304 and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-31)\/(-6076)*56)\/((-2)\/(-28)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 4, 12\/7, 0.3, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1705 - 1702. Sort 2, t, -4 in decreasing order.\nAnswer: t, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -0.2, 1\/2, 34\/9?\nAnswer: 34\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -0.196 or 71\/7?\nAnswer: -0.196","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1, 9, 39, 101, 207, 369, 599, 909?\nAnswer: 1311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -242 * 418\nAnswer: -101156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put 5, -11, -1, -3 in increasing order.\nAnswer: -11, -3, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = 18*n - 24. Let y(d) = d - 2. Let i(r) = l(r) - 12*y(r). Let z(g) = 3*g**2. Calculate i(z(s)).\nAnswer: 18*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Does 6.8 = -2\/52795?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t**3\/11 + 36*t**2\/11 + 200*t\/11 - 48 = 0. What is t?\nAnswer: -6, 2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 4659448 to the power of 1\/2, to the nearest integer?\nAnswer: 2159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert 4117 (base 8) to base 7.\nAnswer: 6126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-25)\/(-3)*(-63)\/(-105).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -229*u - 56040 = -253*u. What is the thousands digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 43465.64 decades to months.\nAnswer: 5215876.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 28 a factor of 558284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*t**2 + 1232*t - 189728.\nAnswer: -2*(t - 308)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j = 3 - 3. Suppose -10*x + 20 + j = 0. Solve 0 = -3*o - x*o - 10 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = 32742*q - 32744. Calculate m(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} {"text":"Question: Solve -228 = -0*p - 5*p - 3*k, -2*p = 3*k + 40844 - 40928 for p.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g = -4\/1003 - -1015\/3009. Let c = 0.08 - -0.093. Which is smaller: c or g?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 534444*l**3*p - 3*l**2*p - 57416*l*p wrt l?\nAnswer: 3206664*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -107\/29 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d = 99.24320455 - 15.24320845. Let i = -402 - -318. Let o = i + d. Round o to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = q**3 - 3*q**2 + q. Let f be p(3). Suppose f*x - 4*y = -8040, -x + 2*y - 2680 = -y. Let o = -1439 - x. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 18264.16 centuries in months?\nAnswer: 21916992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w + 8 = -5*s, 0*s = -4*s + 4*w. Let q = 0 - s. What is the second derivative of 0*g + 2*g**2 - q*g + 5*g - g wrt g?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -75583 + 907001\/12. Factor s - 1\/4*m**2 + 7\/6*m.\nAnswer: -(m - 5)*(3*m + 1)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*c + 5*l - 1, 2*c + 4*l = -0*l + 3*l - 2*l for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*y + 3*y + 110 = -i, 3*y + 3*i + 102 = 0. Let w = -17 - y. List the prime factors of w.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-6 - (-64)\/12)*(-2912)\/(-78)*252\/49?\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = 4*t**2 + 5. Let o = 139 - 134. Let u(j) be the second derivative of j**4\/4 + 2*j**2 - j. Let w be 5 + 3 + (-15 - -3). Give o*u(g) + w*h(g).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j = 4*y + 100, 2*y = -2*j - 0*y + 66. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = 2411*d**3 - 2*d**2 + 4*d - 1. Is 18 a factor of z(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = -54*f**3 - 3*f**2 + 112*f - 133. Let m(n) = -270*n**3 - 16*n**2 + 616*n - 664. Determine 2*m(g) - 11*r(g).\nAnswer: 54*g**3 + g**2 + 135","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 10*(63\/(-45))\/(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 1346038 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 4880218 to the power of 1\/2, to the nearest integer?\nAnswer: 2209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -39, -73, -109, -147, -187, -229?\nAnswer: -273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 756 is divided by 77.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 22 take away -51627.1?\nAnswer: 51649.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -166, -620, -1388, -2488, -3938, -5756, -7960?\nAnswer: -10568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = -6*x + 2. Suppose 4*r - 118 = -134. Calculate z(r).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2 - 2 + 2*u)*(-1 - 1 + 6) + 5*u - u - u + 3*u - 3*u - 2*u to y*u + i and give y.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 149762 is divided by 73893.\nAnswer: 1976","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -g, 2*u - 17 = 4*g + 111. Suppose u = 13*b - 1. Suppose -4*y + 25 = 5*k, 2*y = -0*y - 5*k + b. Solve 0*w - y = -5*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 21919?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -2, -30, 17, 5, -523 in decreasing order.\nAnswer: 17, 5, -2, -5, -30, -523","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*(-2 + -4 + ((5*((sqrt(77)*4 - sqrt(77)) + sqrt(77) - sqrt(77) - sqrt(77)))\/sqrt(7) + -3)*-2)*6)**2.\nAnswer: 633600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = -u**2 - 2*u. Let v = -17 - -32. Let d be 12\/v + 18\/(-10). Determine r(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -4824, -14941, -30358, -51075?\n\"Answer: -2650*p**2 - 2167*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -28*m + 26*m - 8 = 4*v, 12 = -4*v - 4*m for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -0.019, -3, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in 0.4, -4, 3, -2, -0.14?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) be the third derivative of -1\/8*y**4 - 37\/120*y**6 + 11*y**2 + 0*y + 0 + 0*y**5 + 0*y**3. What is the second derivative of g(c) wrt c?\nAnswer: -222*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 14*o - 252943*o**3 - 27*o + 13*o.\nAnswer: -252943*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1.62 - 0.18. Let w = o - -2.2. Let f = -2803\/11 + 255. What is the second smallest value in -3\/5, w, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 34\/(-4)*85\/(680\/(-16))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u - u = -3*n - 33603, -u - 16804 = 2*n. Let y = -5957 - u. Suppose 65663 = 5*c - y. Round c to the nearest one thousand.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = 54*l + 6 + 10*l + 51*l. Let b be o(10). Is (b\/8 - -2)*2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -40 > 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -k - 7*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 38 + -1 - 15 - 6.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6421 is divided by 4840?\nAnswer: 1581","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/7? (a) 1\/8 (b) -5 (c) 6 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put -11, -4\/7, 121\/133 in ascending order.\nAnswer: -11, -4\/7, 121\/133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j = -92 + 92. Suppose -7*k - 75 + 327 = j. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 59 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(-1 + (3 + sqrt(5)*-1 - sqrt(5)) - (6*sqrt(25)\/sqrt(5) + -4))*-1 + 0 + -2.\nAnswer: -20 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort -164, -1, -72 in increasing order.\nAnswer: -164, -72, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -5 + 5ab0b?\nAnswer: 5ab06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f = 40 - -33. Calculate the remainder when f is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1274673 is divided by 72.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {c: 2, i: 7, d: 1}. Give prob of sequence iid.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a = -2 + 5. Let v = 13 - 6. Calculate the least common multiple of v and 2*(1 + 0) + a.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 0 (b) -2\/7 (c) -0.09 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z be (342\/27 - 13)*-4. Let m = -2 - -1.5. Let a = 0 + -0.2. What is the nearest to z in m, -1\/7, a?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: (4 - 6) + 12 + -24 - (1 - 7)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = f - 9. Let p be c(16). Which is smaller: 2 or p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1634.7 - -45.9459273?\nAnswer: -1588.7540727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express (-7026*f - 3957*f - 17163*f)*(-3*f - 2*f + 4*f) in the form m + c*f + s*f**2 and give s.\nAnswer: 28146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:48 PM and 7:42 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 115*j**3*n**5 - j**3*n**2 + 243*j**3*n + 2*j**2*n**2 + 2*n**5 wrt n.\nAnswer: 6900*j**3*n**2 + 120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of (-92192822)\/(-44671) + (0 - 4\/(-22)) and 240.\nAnswer: 10320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in -4, 10, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -0.81*-5187\nAnswer: 4201.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 855473 or 855472?\nAnswer: 855472","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 3 and 5703?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) be the second derivative of -q**5\/35 + 11*q**4\/21 - 16*q**3\/7 - 72*q**2\/7 - 4*q - 2. Let y(o) = 0. Calculate o.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-2)\/((-24)\/42)*8\/14. Suppose -2*x + r*y + 3 = -7, x - 5*y = 9. Solve -6*o + x*o = 8 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -76\/527943 and 70\/121833?\nAnswer: 1583829","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 671008 to the nearest integer?\nAnswer: 819","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) be the third derivative of 0*j - 16*j**2 + 1\/2*j**3 + 0 + 1\/12*j**4. Let d(s) = s**3 + 7*s**2 - 7*s + 5. Let x be d(-8). Give r(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in 2, 1\/3, -1\/36?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -621, -3354, -6087?\n\"Answer: -2733*y + 2112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 10193056?\nAnswer: 2, 37, 8609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 899499?\nAnswer: 3, 41, 71, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 + 3 + 1 - (3 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 72 - 63 = -3*z, 2*i - 486696 = -6*z. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x = -5*s + 1, 4*x - s - 43 = -0*s. Solve -3*b - 2*c = -b - 8, -b - 3*c + x = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (23*z + 7*z - 12*z)*(0 - 2 + 1) + 4*z - 2*z - 4*z + (-4*z + 5*z - 3*z)*(-5 + 3 + 3).\nAnswer: -22*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s + 3*s = 10, 0 = 5*o - 5*s + 15. Suppose o*u + 3*u = 80. Solve 3*b + u - 1 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d - 491 = -476. Suppose d*a - 850 = 5*g - g, 4*a - g = 691. Is a a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 26 divided by -9868?\nAnswer: -13\/4934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find l such that 4*l**5 - 20*l**4 - 12*l**3 + 116*l**2 + 8*l - 96 = 0.\nAnswer: -2, -1, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(1*sqrt(363) - (sqrt(48)\/sqrt(2))\/sqrt(8))**2.\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 243, 401, 665, 1035, 1511, 2093?\n\"Answer: 53*p**2 - p + 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -13*9\/(-39) - -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 14074749 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 72 and 230796?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = -3*p**3 - 5*p**2 + 16*p + 34. Let l be r(-2). Solve 51 = -l*a + 21 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 20 divide 14664?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*sqrt(2160)*-6 + -4*(sqrt(2160)*-1 - sqrt(2160)) + sqrt(2160))\/(-2*(sqrt(192) - sqrt(192)*-1)*-1).\nAnswer: 45*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 + 0 + -2 + (-21 - -16).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 14*j**5 - 18*j**2 - 2*j + 20.\nAnswer: 280*j**3 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 0.7 and -11.9?\nAnswer: 12.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*i + 2*i = p + 2*p + 114, 147*p = i - 5586 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 7 and 160?\nAnswer: 1120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = -1093*w - 212037. What is t(-194)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a = 1.408 - 0.198. Let n = -19 + 20.3. Let b = n - a. Round b to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 0.7927035 millilitres?\nAnswer: 0.0007927035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert -101340402 (base 6) to base 9.\nAnswer: -3264272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2601, 721, 4043?\nAnswer: 7365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = 21*b. Let n(p) = -776*p - 153. Calculate n(w(x)).\nAnswer: -16296*x - 153","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i\/(i\/i**(2\/9)))**(1\/19)*(i*((i\/(i*i**2)*i)\/i)\/i)**(-10\/7) assuming i is positive.\nAnswer: i**(3434\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4 + 3 - 5 - 2 + 730*c.\nAnswer: 730*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = -3*q - 5. Let n be f(-2). Let t be n*(2 + (-18)\/10). Factor 3\/5*s**4 + t*s**3 + 2\/5 - s**2 - 1\/5*s.\nAnswer: (s - 1)*(s + 1)**2*(3*s - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2 - -1 - (40 - (-34 - -72))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = 8*p - 3. Let r(w) = w**2 - 17*w + 5. Let o(m) = 5*h(m) + 3*r(m). What is the second derivative of o(c) wrt c?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10*n + 12*n + 10*n.\nAnswer: 12*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -14345452*-1.9\nAnswer: 27256358.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i + 3*z - 5*z = -170, -4*z = -3*i + 220. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1442 bigger than 1454?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m = -4 + 1. Let u = 13 + 5. Let g be u\/12*(-2)\/12. Which is the nearest to g? (a) -4 (b) -0.1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (249\/166)\/(1\/(1*-6))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 6380, 9612, 18400, 35522, 63756, 105880, 164672?\n\"Answer: 463*y**3 - 9*y + 5926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 56997, 228017, 513051, 912099, 1425161?\n\"Answer: 57007*r**2 - r - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c be (3 + 6\/((-150)\/85))*-5. Suppose 2*p = -3*p - 4*o - 8, -6 = 4*p + 3*o. Sort 4, p, c in decreasing order.\nAnswer: 4, c, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2 in 2\/7, -21\/65, 2\/11, -1, 0?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Round 1.41121593 to two decimal places.\nAnswer: 1.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*p - 2*y - 30 = 0, 2*p + 3*y - 21 = 6*y. Find the first derivative of -v - v + p + 3*v + 0*v wrt v.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 630 minutes before 9:36 PM?\nAnswer: 11:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 30 in 5\/6, 1\/4, 1.2, -2?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1064, 4500, 10540, 19418, 31368, 46624, 65420?\nAnswer: 87990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: (-21 - -4) + -2 + 2\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y*y**(2\/9))\/y*y**(-5)*(y\/(y\/y**(-1\/4)))**18)**(-8) assuming y is positive.\nAnswer: y**(668\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = -8*y**3 - 9*y**2 + 9*y - 9. Let s(b) = b**3 + b**2 - b + 1. Suppose 133*r + 30 = 148*r. Suppose -n - 36 = -3*n. Determine n*s(o) + r*a(o).\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 573340127 to the power of 1\/2, to the nearest integer?\nAnswer: 23945","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 1134 and 3?\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (18\/(-21))\/((-18)\/28).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 592746?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence rqr when three letters picked without replacement from {q: 1, r: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a\/(a**1\/a*a))\/(a*a**(4\/13)*a*a)*a**(20\/7)*(a*(a**(4\/17)\/a)\/a)\/a)**(-28) assuming a is positive.\nAnswer: a**(13708\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -4 + 16 + -36 + 45?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = -r**2 + r + 132. Let t be (1\/3)\/(5*(-8)\/1320). Let x be j(t). Which is bigger: x or 6\/125?\nAnswer: 6\/125","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = 26*h + 16288. Let b(q) = q. Give b(g(w)).\nAnswer: 26*w + 16288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = -z**3 - 11*z**2 + 3*z + 18. Let m be u(-9). Let b = 31 - m. List the prime factors of b.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-160)\/15*(-135)\/(-360).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 58700 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*r + 2*r - 5*r)*(-10*r**4 - 62*r + 62*r) + (4*r - r - 2*r)*(5*r**4 - r**4 - r**4) - 3*r**5 + 3*r**5 + 2*r**5.\nAnswer: -5*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -7, -22, -51, -94?\n\"Answer: -7*u**2 + 6*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g = -30419 - -71419. What is g rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -13 + -3. Let g be (4\/j)\/((-1)\/4). Let z(w) = -4*w**2 + 1. Let k(n) = -n**2 + n + 1. Let m(c) = g*z(c) - 3*k(c). Calculate m(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 46880411 to the power of 1\/3, to the nearest integer?\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ttq when three letters picked without replacement from tqtqwqqtqtt.\nAnswer: 10\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:50 AM and 6:50 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose m - 3*m = 0. Suppose m*z + 4*z = 80. Suppose 4*x = 4*o + z, 5*x + 2*o = 5*o + 25. Solve -4*k = -x*t - 37, 2*t + k = 4*k - 19 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = -2*a + 9. Let f(y) = 9*y - 38. Let m(d) = -6*f(d) - 26*p(d). Let u(k) = 4*k + 11. Calculate -7*m(i) - 4*u(i).\nAnswer: -2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 223243303 (base 7) to base 2\nAnswer: 110011110001111110010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 343903 to the power of 1\/2, to the nearest integer?\nAnswer: 586","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -20*u**4 + 161*u**3 + u**2 - u - 545 wrt u.\nAnswer: -480*u + 966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -129*c**2 - 127*c**2 - 3*c + 3*c - 186*c**2 + 445*c**2.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -103.85 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7*t - 2*t + 4*t + 2*t.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find m, given that -3*m**5\/8 - 27*m**4\/8 - 3*m**3 + 69*m**2\/2 + 36*m - 120 = 0.\nAnswer: -5, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-8)\/(-6))\/((-20)\/(-510)). Suppose 17*y - a*y + 18*y = 0. Solve c - 14 + 13 = y for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) be the second derivative of k**7\/1260 + k**4\/6 - 2*k. Let s(h) be the third derivative of n(h). Let f(m) = 5*m. What is f(s(b))?\nAnswer: 10*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 3450648947 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = 52*v**2 + 3*v - 3. Let q be j(3). Let b = 16 + q. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m = -15, -m - 83 = a + 43. Let s = 132 + a. What is the remainder when 76 is divided by s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.5 + 0.034148\nAnswer: 0.534148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert -3 (base 13) to base 16.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 0\/4*1\/(-1)*-1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 1613471 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is (3*1\/6)\/(((-2150)\/(-20))\/(-43))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = 3604*s - 1153. Determine c(0).\nAnswer: -1153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = 11*l**2 - 21*l + 25. Let g(u) = 4*u**2 - 7*u + 8. Let r(h) = -3*c(h) + 8*g(h). Let s be r(8). Let t = s + 41. List the prime factors of t.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -111 + 1000101111110?\nAnswer: 1000101110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t = -150 - -145. Sort 152, 3, t in decreasing order.\nAnswer: 152, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 42*k + 467 = 43*k. What are the prime factors of k?\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -372 + 167 + 351*s**3 + 397*s**3 - 694*s**3 + 205.\nAnswer: 54*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = 76*o - 39*o - 33*o. Let l(m) be the third derivative of -m**4\/8 - m**2. Determine 5*f(n) + 6*l(n).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 1 (base 14) in base 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y = -223 - -220. Let v be (-14)\/(-1 + 4 - 5) - y. Solve 5 - v = -b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 28, -3, -320 in increasing order.\nAnswer: -320, -3, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) = 3*y - 17. Let j be n(7). Suppose -o + j*o = 321. What are the prime factors of o?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 485e1 - 19?\nAnswer: 485c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Put 0, -294, -2, 43 in descending order.\nAnswer: 43, 0, -2, -294","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) = -5*p**2 + 92*p - 425. Let w be o(9). Let a = -1 - 4. Let f = -1.1 - -5.1. What is the fourth smallest value in a, w, f, 1\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -7104*s - 22 = -7102*s - 5*n, -8*s - 122 = -3*n for s.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 c and 1 g when three letters picked without replacement from ddggggdcdckkd.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Round 72792490 to the nearest one million.\nAnswer: 73000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 36603.\nAnswer: 3, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 5a84 + -3252?\nAnswer: 2832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = 7*v**2 - v + 6. Let m = 106 - 109. Let r(l) = -4*l**2 + 2. Let n(q) = 5*q**2 - 3. Let u(o) = m*n(o) - 4*r(o). Give -f(h) + 6*u(h).\nAnswer: -h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 82401805?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express (73 + 6*a - 73)*(19842 - 19842 + 141*a**2) as z*a**3 + u*a + m + n*a**2 and give z.\nAnswer: 846","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -4, 0.13, 2926?\nAnswer: 2926","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = 2*a**3 - 23*a**2 - 10*a - 24. Let l be g(12). Solve l = 5*q + 4*p - 36, -q = -4*p + 11 + 1 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -24186 - -25081. Solve 871*x - v*x + 96 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 0.1 or 884049716?\nAnswer: 884049716","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 7623?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*o - k + 3 = 7*o, 2*k - 18 = -5*o. Let f(p) = -p**2 - 4*p - 9. Let d(a) = -a**2 - 3*a - 8. Determine o*d(l) - 3*f(l).\nAnswer: -l**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 152*q**3 + 94*q - 128*q**3 - 47*q - 48*q.\nAnswer: 24*q**3 - q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Multiply -4 and 1782.\nAnswer: -7128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = -509*r + 514*r. Let u(d) = -7920043*d - 43. Let p be u(r). Round p to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 12966?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 7*3\/(-3)*9\/(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(204) - (-2*sqrt(204)*1 + sqrt(204)))\/(6*sqrt(48)) + -5.\nAnswer: -5 + sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v + 2*c - 12 = 0, 3*v + 7 = 8*v - c. Solve 0 = 2*d + 4*u + 12, -d - 3*u - 3 = -v*u for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 239434662 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000010462088 rounded to 7 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*g + 4 = 2*j, -4*j + 0*j - 3*g = -28. Suppose -4*r - r = -2*h + j, r + 25 = 5*h. Solve 3*q + 5*k + 4 = r, -14 = -2*q + 4*k + k for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 84253.\nAnswer: 13, 6481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is ((-952)\/(-51))\/(96\/90*55\/88)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -13, -38, -111, -256, -497, -858, -1363, -2036?\n\"Answer: -4*o**3 + 3*o - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is (125 - 162) + 285*(-616)\/(-4746)?\nAnswer: -1\/113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 0.1 and 0.3431?\nAnswer: 0.2431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**(-15)\/u*u*u\/(u*u**(-2\/19)))**(-29)\/((u**(-1\/3))**(-49))**36 assuming u is positive.\nAnswer: u**(-2965\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = -2*m**3 + 12*m**2 + 11*m - 15. Let d be r(7). Let s = d + 36. Suppose 9*f - 5041 - 11546 = s. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 10461 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -975, -1650, -2325, -3000, -3675?\n\"Answer: -675*t - 300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of (-32)\/(-80) - (-4)\/10 and (9\/(-4))\/(5\/2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -183486, -183529, -183592, -183675, -183778?\n\"Answer: -10*r**2 - 13*r - 183463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 322050889 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find k such that k**3 + 680*k**2 + 31396*k - 65520 = 0.\nAnswer: -630, -52, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = -w**3 - 4*w**2 - 2*w + 1143. Determine m(0).\nAnswer: 1143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 41 a factor of 112866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = -d**3 + 5*d**2 - 3*d + 9. What is b(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1.221 in 0.1, -4, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 51640, 103246, 154854, 206464, 258076, 309690, 361306?\nAnswer: 412924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify x**(-18)\/x**38*(x**15)**(13\/2) assuming x is positive.\nAnswer: x**(83\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**(-22)\/(i**(-27\/2)*i))**28 assuming i is positive.\nAnswer: i**(-266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -683*o - 170 = -717*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 7, 43, 131, 295, 559?\nAnswer: 947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 142524 (base 6) in base 3?\nAnswer: 200122021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*r = -4*r - 1344. Suppose 675*h - 668*h - r = 0. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) be the first derivative of -5*w**4\/4 - 2*w**3\/3 + w**2 + 10. Let d = -5 + 3. Does 14 divide l(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -11*k + 5665 + 1320. What are the prime factors of k?\nAnswer: 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 m and 2 b when four letters picked without replacement from bnmbvmbbvmnmbnm?\nAnswer: 20\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 192890?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s = -2 - 0. Let u = 0.2 - s. Let o = -0.7 - u. What is o rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3478 + 3508 = 10*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (127 + 20 + 24)*(-4 + 29*y + 16*y + 4) to the form q + d*y and give d.\nAnswer: 7695","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -1 - -853.7781\nAnswer: 852.7781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = 173 + 17*k - 104 + 3*k**2 - 7. Calculate the smallest common multiple of t(-5) and 6.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*((-5*2*sqrt(135))\/sqrt(9))\/((1*sqrt(90)\/sqrt(6))\/sqrt(3)) + 1.\nAnswer: 1 + 60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = 4*i + 15. Let x be w(-6). Let q(v) = 8*v. Let m(c) = 4*c. Suppose d - 10 = -4*d, -2*l - 54 = d. Let o be 7*(3 - (-68)\/l). Give o*q(j) + x*m(j).\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 20 + -44 + 5 + (-10 - -35)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i = 342 - 70. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = 2*l**2 - l + 25. Let v be s(0). Let g = v - 83. Let u be g\/(-10) - 2\/(-10). Solve -u - 14 = -5*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*x + 0*x - 2*x - 2 + (81*x + 145 - 145)*(-2 - 3 + 3).\nAnswer: -164*x - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 791 = 4*w - 777. Let j be (-1566)\/w + (-1 - (-4 + -1)). Which is greater: j or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 192 divide 71913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express 122 - 249*t - t**3 - 122 as d*t**3 + g + v*t**2 + z*t and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let v = 91 - 133. What is the common denominator of (-289)\/60 + (-6)\/(-9) and 1 + 1 + 411\/v?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 8 divide 34 - (3 - 1 - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -73 - (-2 + (6 - (-6 + 5)) - (3 - 9))?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = b**2 + 3*b + 2. Calculate p(4).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = b**2 + 15*b - 13. Give c(-16).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_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: In base 12, what is 8b08976 - 19?\nAnswer: 8b08959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 2005, 2006, 2009, 2014, 2021?\n\"Answer: f**2 - 2*f + 2006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = -2*b**2 - 3*b - 4. Let n be 12\/18*(7\/(-2) - -2). Let c(w) = w**2 + w + 1. Give n*y(u) - c(u).\nAnswer: u**2 + 2*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 210 and 800?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) be the first derivative of 9*o**2\/2 + 6. Let g(z) = z. What is g(p(k))?\nAnswer: 9*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z be (2 + (-18)\/8)*4. Let d(p) = -66*p**2 - p. Let b be d(z). What is the tens digit of (b\/(-26))\/(1\/14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (72 - 72 - 6*u)*(18*u**2 - 10*u**2 + 11*u**2) + 7*u**3 + 2*u**3 - 2*u**3 as h*u**2 + k + t*u + n*u**3 and give n.\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Does 7425965 = 7425965?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*u + 18 = -0*u. Let c(j) be the second derivative of -5*j**3\/6 + 2*j**2 - j. Calculate c(u).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 12279, 9943, 7603, 5259, 2911?\nAnswer: 559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = 2*q - 8. Let r(z) = 1. Let o(s) = -2*r(s) - y(s). Let f(n) = -n + 15. Let h be f(16). Let d = 6 + h. What is o(d)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -4 in -3, -1, -6\/5, -1\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -143 + 101 = -j. Suppose 40*q = j*q - 746. What is the remainder when q is divided by 75?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7 = 2*u + z, -8*z + 9*z = -5*u + 13. Find p, given that 3*p**u + 2*p**4 - 15*p**2 + 20*p**3 - 6*p**4 + 16*p - 20*p**2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1039? (a) 0.088 (b) 1\/54 (c) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 25*o = r - 28, 2*r + 3*o = 5*r - 84 for r.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -50*u + 18770 = 620. Calculate the greatest common divisor of 6 and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 702056 (base 8) to base 16\nAnswer: 3842e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 46 divide 2849230616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 612 minutes before 2:04 PM?\nAnswer: 3:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 6612 and 3724.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify d**(-1\/8)*((d*d**(-15)*d)\/d)\/d*d*d assuming d is positive.\nAnswer: d**(-105\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -33802300.4031 and -256?\nAnswer: 33802044.4031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*z - z - 21631 = j - 21575, -3*z + 56 = -j for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -33749 less than -0.0623?\nAnswer: 33748.9377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 85.37? (a) 1\/6 (b) 1\/7 (c) 0.3 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: (-10)\/(-12)*(-10)\/(-150)*-3\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qjjq when four letters picked without replacement from {q: 10, j: 4}?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 l when four letters picked without replacement from lklklkllllklllklllk?\nAnswer: 715\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p*p*p*p**4\/p*p*p**6\/p)\/(p**(-2\/7))**(-1\/3) assuming p is positive.\nAnswer: p**(250\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 17502 a multiple of 145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: (155\/248)\/(3\/48)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j = 45.38 + -50.4. Let d = j + 0.02. Let g = 1 - d. Is g at most as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = -h**2 + 3*h - 4. Let g(q) be the second derivative of q**3\/6 - q**2\/2 + 4*q. Let z(n) = -4*g(n) + i(n). Find the second derivative of z(b) wrt b.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 4 + (-4)\/((-40)\/(-335)). Let j = 29 + b. Let k = -9 + 9.4. Which is bigger: j or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 91\/72 and -31\/38808.\nAnswer: 38808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*-1*-2*(2*(0 + 3 + sqrt(931) + sqrt(931) + sqrt(931) - (-4*sqrt(931)*1 - sqrt(931))))**2.\nAnswer: 2688*sqrt(19) + 476744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = -5*k**2 + 9*k + 2. Let q(c) = -4*c**2 + 8*c + 1. Let l(p) = 3*g(p) - 4*q(p). Suppose -2*o + 4*a + 25 = -3, 0 = -2*o - a + 3. Give l(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1451, 1574, 1779, 2066, 2435, 2886, 3419?\nAnswer: 4034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 129691013 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) be the first derivative of -5*v**4\/16 + 91*v**3\/6 - 9*v**2 + 183. Find a, given that u(a) = 0.\nAnswer: 0, 2\/5, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f - 7 = k, 3*k + 15 = -4*f - 9. Let h(l) = l**3 + 5*l**2 + 7*l + 1. Let j be h(k). Let t = 9.9 - 10. Which is the closest to j? (a) t (b) -4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = -33*x**2 + 7*x + 237. Let j(k) = -k + 35. Let h be j(46). Let t be w(h). Round t to the nearest one hundred.\nAnswer: -3800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth smallest value? (a) 46 (b) 2\/3 (c) -3 (d) 3 (e) -2\/3 (f) 3.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v be 6\/2*204\/(-18). Let b = 23 + v. Which is bigger: b or -12?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-16)\/(-18) - 4\/6. Let l be 200\/99 - 6\/3. Let c = 68\/99 - l. Which is greater: d or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 10 + -17 + (-1 - 0). Let g(w) = 2*w + 12. Determine g(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -11*c**2 + c**2 + 5*c**2 to z + l*c + r*c**2 and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 29*j = 34*j - 1420. Let d = j - 280. Let t(w) = -w + 10. Let r be t(5). Solve 21 = -d*c - 2*l + l, -r*l = -c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -1.4215 times 0.4\nAnswer: -0.5686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence nc when two letters picked without replacement from {c: 8, w: 3, r: 4, n: 4}?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 662 minutes before 2:07 AM?\nAnswer: 3:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 64 = 5*g + 3*g. Let c(z) = -5 + g - 2. Let l(b) = -2*b + 1. What is -4*c(m) + l(m)?\nAnswer: -2*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) -0.5 (b) -9 (c) 2\/265 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p be -2*(-6)\/(-12)*(-2 + 14). Let g be (16\/p)\/(5 - 8). Factor g*h - 2\/9*h**2 - 2\/9.\nAnswer: -2*(h - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 17 divide -2 + 312\/150 + (-124586)\/(-175)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -10 - -3788?\nAnswer: 3778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y + 5*w + 8 = 0, 23*w = 19*w. Let q(v) = 10*v + 12*v**y - 2*v + 10 - 8*v**2 - 5*v**2. What is q(8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 623 divided by 76\nAnswer: 623\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate -8*(-9)\/42 - 34\/(-119).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 161 + 2186?\nAnswer: 2347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 464 a factor of 388368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 j and 1 n when two letters picked without replacement from {j: 1, n: 7}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r = 112739\/14 - 8060. Let u = -378\/851 - -21453425\/5106. Let w = u + -4179. What is the common denominator of r and w?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = o**2 + 40*o + 207. Let h be i(-34). Let t(l) = -l**2 + 7*l - 2. Let d be t(5). Solve -h*n - d*p + 27 = -3*p, 0 = -4*n - p + 19 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 5 - 2*f**3 - f**3 + 3*f + 4*f**3 - 2*f to i*f**2 + b*f**3 + w + d*f and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-76)\/(40736\/(-603))*8.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 7305415 and 4841330.\nAnswer: 10855","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -218 + -3?\nAnswer: -21b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a = -3575 - -6082. What is the thousands digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 0 - (0 + -5 + 0). Suppose -5*w + 20 = 0, 26 + 24 = 5*y - f*w. Calculate the highest common divisor of 7 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 3883 by 11.\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -6 - 1 - (-8 - (6 + -11))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n be 0 - ((-138)\/24 + 6). Let u = 29\/3 + -154\/15. What is the third smallest value in 0, u, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 1\/10 + (-32747)\/(-1430). Solve 4*v - 16 = 0, v - p = -3*b - 4*v for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = -x + 6. Let w be 75\/(-10)*4\/(-6). Let u be c(w). Suppose m - 6 - u = 0. Is 4 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 q, 1 n, and 1 l when three letters picked without replacement from lqnlnqqnllnnqnn.\nAnswer: 16\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0148506 to four dps.\nAnswer: 0.0149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (7*v**5 - 4*v**5 + 2*v**5)*(1 - 3 + 0) + 3*v**4 + 2*v**5 - 3*v**4 - v**4 - v**5 + v**4 + (v**4 + 2*v**4 - 2*v**4)*(2*v + 1 - 1).\nAnswer: -7*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 205688350 a multiple of 1106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c = -5*h + 13, -7 = 4*h + 2*c + 3*c. Let b(a) = -5*a - h + 4 - a**3 + 2*a**2 + 3*a. Is b(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 3\/5*5*1. Suppose -220 = y - q*y. Suppose -2*b - 3*b = -y. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c**5\/3 + 15052*c**4 - 714080*c**3\/3 - 83577824*c**2\/3 + 931889728*c - 24006980800\/3 = 0. What is c?\nAnswer: -50, 22, 11273","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 17203544?\nAnswer: 2, 241, 8923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Convert 92261 (base 10) to base 12.\nAnswer: 45485","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -p = 4*r - 4, -102*p = -97*p - r + 1 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 4? (a) 2\/5 (b) 6 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-33)\/44)\/((-3)\/2)*10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 63 + -65. Let q be ((1 + -2)\/j)\/((-4)\/(-40)). Suppose 4*z - 58 = 5*x, -q*z + 0*z + 50 = 5*x. What is the remainder when 22 is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -51\/64 and -11\/391616.\nAnswer: 391616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = 2*x + 525917. Let j(d) = d. Calculate v(j(g)).\nAnswer: 2*g + 525917","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 q when four letters picked without replacement from {q: 5, c: 8}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**(-2\/9)*n**1)\/(n**(-3\/8)*n*(n\/n**(-22))\/n*n*n) assuming n is positive.\nAnswer: n**(-1717\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w + w + 736 = 4*d, -3*d + 3*w = -552. Suppose 0 = -5*q - m + 405, 0 = 3*q - q - 4*m - d. Let u = 22 + q. Is 13 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 352864?\nAnswer: 2, 11027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) be the third derivative of -c**6\/960 + c**4\/192 + 710*c**2. Solve v(l) = 0 for l.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**(-4)*p*p**(-1)*p*p)**29 assuming p is positive.\nAnswer: p**(-58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 265?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n = -2\/17 - 9\/68. Suppose 0*r + 3*r = -6. Put r, n, 4 in descending order.\nAnswer: 4, n, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5895588 to the power of 1\/3, to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j = 896 + -796. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*p + 18 = -4*w, 2*w = 4*p - 2 + 6. Let m(d) = 7*d + 2. What is m(p)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 425536606 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 59948 is divided by 78.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = 58*x. Let v(n) = 108 + n - 32 - 34 - 42. Calculate v(j(i)).\nAnswer: 58*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let 6*j**5\/7 - 8*j**4\/7 - 88*j**3\/7 + 12*j**2 + 306*j\/7 - 108\/7 = 0. Calculate j.\nAnswer: -3, -2, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 224 and 40880?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 27104 a multiple of 270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*r + 5*x + 22, 5*r - 4*x = -3*x + 17. Suppose w = -q, 2*q - 3 = -r*w - 2. Let u(d) = -d**2 - 7*d - 5. What is u(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*r**3 - 7*r**3 + 15*r**3.\nAnswer: 12*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 3200390054?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -54*n + 18*n - 64*n - 1400 = 0 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 2002, 7582, 16742, 29488, 45826, 65762, 89302?\n\"Answer: f**3 + 1784*f**2 + 221*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 156, 26, -208, -558, -1036, -1654, -2424?\n\"Answer: -2*n**3 - 40*n**2 + 4*n + 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*i**2 - 10288*i - 20584.\nAnswer: 2*(i - 5146)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Product of 593 and -0.146.\nAnswer: -86.578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*(sqrt(1900) + sqrt(1900)*1*2 + sqrt(1900)) - ((sqrt(1900) - sqrt(1900)*2)*-1 + -3))**2.\nAnswer: 180*sqrt(19) + 17109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 107162744?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 212848.16 and 3.5?\nAnswer: 744968.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8*s - 22*s - 10*s + 36*s.\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -82*f + 119*f. Solve 0 = 5*q - f - 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1012111012 (base 4) in base 2?\nAnswer: -1000110010101000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((2*(sqrt(102) + sqrt(102)*1))\/(sqrt(72)\/(sqrt(12) + (sqrt(12) + 1*sqrt(12) - sqrt(12)))))**2 + sqrt(204)\/(sqrt(300)*2 - sqrt(300))*4.\nAnswer: 4*sqrt(17)\/5 + 1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose n - 64 = -0*n. Does 16 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 53 minutes after 1:35 PM?\nAnswer: 2:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -349*u - 7 - 118*u - 12*u - 2*u**2 - 14 + 15.\nAnswer: -2*u**2 - 479*u - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = -2*j**2. Let q be (-990)\/385 - 4\/14*-2. Let m(o) = o + 1. Let a(i) = 4*i**2 - 6*i - 6. Let g(k) = q*a(k) - 12*m(k). What is g(l(z))?\nAnswer: -32*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} {"text":"Question: Evaluate (-20)\/10 + 1 + -6 - 2*1233\/(-342).\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*w - 32 - 8 = 0. Suppose 3*d - 17 = -3*m + w*m, 0 = -5*d - 2*m - 13. Let s = d + -2. Put 0, 1, s in descending order.\nAnswer: 1, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14 = 3*u + 4*k, 5*u - 2 = 3*k + 2. Let y = 2 + u. What is the units 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 2471794744?\nAnswer: 2, 109, 139, 20393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1*3\/12*2*6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a = -5.79 + 6.19. What is the nearest to 3 in 0.6, -2\/5, a?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -162 - -164. Sort o, -7, -4, -2.\nAnswer: -7, -4, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2 + (sqrt(76) + (sqrt(76) + (sqrt(76) - (sqrt(76) + 2)) + sqrt(76))*2 + -5 + sqrt(76) + 1 + -2)**2)*1*-2.\nAnswer: -5668 + 480*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z = -36 + 48. Let v(w) = -z + 12 + 3*w**2. Let s(b) = 2*b**2 - 5*b**2 + 5*b**2 - 4*b**2. Determine s(v(k)).\nAnswer: -18*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -24*i**3 + 4022 - 4022 + 13*i**3.\nAnswer: -11*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u be (13 - 0 - -13)*(-9)\/(-6). Solve 5*h = 0, u*h - 41*h = o - 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) be the first derivative of -j**3\/3 + 8*j**2 - 21*j - 1. Let n(l) = 20*l**2 + 1429*l - 1434. Let m be n(1). Give h(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -3514.64287476 and -0.1?\nAnswer: 3514.54287476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = -18*q**2. Let l(c) = 8*c + 24. Give v(l(n)).\nAnswer: -1152*n**2 - 6912*n - 10368","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o**34\/o)\/o)\/o**(-45)*(o**(-21))**(7\/8) assuming o is positive.\nAnswer: o**(469\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1655 is divided by 591.\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 12*b**3 - 37*b**2 + 773*b wrt b?\nAnswer: 72*b - 74","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 20\/11? (a) 2.28 (b) 0.3 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -3\/11 and 19\/7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 62 - -7b67a3?\nAnswer: 7b6845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express (-470 + 787*v**2 - 256*v**2 + 473)*(13*v**2 - 20*v**2 + 11*v**2) as y*v**4 + k*v**2 + s*v**3 + o*v + b and give y.\nAnswer: 2124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -12234 + 3*d + 12234.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 221*o**2 - 543*o**2 + 226*o**2 + 92*o**2.\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.1059504 - 0.106. Round q to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 335656, 671320, 1006984, 1342648, 1678312?\n\"Answer: 335664*n - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = 5*w - 145. Let z be g(-11). Let h = z - -468. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 357 = -135*x + 84*x for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = -i + 6*i + i + 5. Let d(p) = p - 4. Let s(n) = 4*n - 8. Let r(h) = -7*d(h) + 3*s(h). What is -2*g(u) + 3*r(u)?\nAnswer: 3*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -154970, -155203, -155432, -155657, -155878, -156095, -156308?\nAnswer: -156517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = -15*p**3 + 4*p**2 + 4*p + 4. Let c(h) = -5*h**2 + 3*h - 7*h - 6*h**2 - 7*h - 11 - 12*h**3 + 56*h**3. Determine -11*b(t) - 4*c(t).\nAnswer: -11*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -136*j**2 + 37*j**3 - 13*j**3 - 169*j**2 + 305*j**2.\nAnswer: 24*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 208*r - 229*r + 323421 = 0. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1403626 + -691793. Let d = 711831.299965 - q. Let r = 1.7 + d. Round r to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*b**3 + 57411205*b**2 + 229644880*b + 229644900.\nAnswer: -5*(b - 11482245)*(b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = -k**3 + k**2 + 31*k - 460. Give l(9).\nAnswer: -829","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 172 minutes before 12:30 AM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = -1357*q. Let p(z) = -4*z. Determine b(d) + 11*p(d).\nAnswer: -1401*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i = -60 - -65. Suppose i*j - 4*v = 1443, 4*j + 3*v - 432 - 741 = 0. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.204 * 0.07\nAnswer: -0.01428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Work out 284.5 * 4.96.\nAnswer: 1411.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a = 47971 + -33162. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = 19100*c - 57302. Give x(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = u**3 + 10*u**2 - 3*u + 9. Let b be 20\/(-3)*9\/6. What are the prime factors of t(b)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*w + 2359 = 5*c, 434 - 1380 = -2*c + 4*w. List the prime factors of c.\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 3\/60 - 3 - -3. Let x(t) be the second derivative of h*t**5 + t**2 - 2*t + 0*t**3 + 0*t**4 + 0. Differentiate x(w) with respect to w.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-10)\/95 - 1840\/(-152). Calculate the remainder when -3*(4544\/m)\/(-8) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -52650*z**2 - 54631*z**2 + 103941*z**2 in the form c*z + t + w*z**2 and give w.\nAnswer: -3340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = 5*s**2 + 3*s. Let k(v) = -26*v**2 - 16*v. Let m(z) = 3*k(z) + 16*y(z). Let n(u) = -u + u**2 + u + 0*u**2. Give m(n(t)).\nAnswer: 2*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -2\/7, 0.3, -9.3, -0.3, 3, -2?\nAnswer: -9.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in 1, -6, 3, -13473, -0.3, -4\/7, -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 4 (b) 5 (c) -206345 (d) -5\/4 (e) -0.3 (f) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a + z = 105 + 151, -3*z = 5*a - 320. Calculate the remainder when a is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -25 divided by -2579\nAnswer: 25\/2579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -1211078, -1211073, -1211068, -1211063, -1211058?\n\"Answer: 5*b - 1211083","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 0.2, -0.2, 1\/2, -2\/3, 3\/22?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 129 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g = -656 + 700.7. Let p = g - 40.7. Which is the nearest to 1? (a) p (b) -0.4 (c) -5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o\/((o**(4\/11)\/o*o)\/o))\/o*o**(4\/7)*o)**(-23) assuming o is positive.\nAnswer: o**(-3910\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*d + 0*t = -4*t + 10, 11 = 2*d + 3*t for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 96848833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -62111*q**2 + 4371*q wrt q.\nAnswer: -124222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: (3 - (0 + 21 + -4)) + (12 - 5)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 20 and 2294.\nAnswer: 22940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 1.9, 0.08, 2\/7, -53280, -0.3, 0?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0.1, 218771\/62, -3, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*v**2\/3 + 100*v\/3 + 1250\/3.\nAnswer: 2*(v + 25)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: (30 + -56 - -11) + 5\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 2*u**3 - 4681*u**2 - 7655*u + 277449120?\nAnswer: 6*u**2 - 9362*u - 7655","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = -2*s**2 + 16*s**2 - 2*s**2 - 8*s**2 - 5*s**2. Let p(b) = -29*b + 11. Let d(h) = -15*h + 6. Let o(i) = -11*d(i) + 6*p(i). Calculate k(o(f)).\nAnswer: -81*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) be the first derivative of -45*i**2\/2 + 3. Let o be w(-1). Let m be 29\/9 - 10\/o. Which is smaller: m or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -x**2\/4 - 7*x + 32.\nAnswer: -(x - 4)*(x + 32)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of (-1)\/(-6) + (-2205)\/8730 and -19\/5?\nAnswer: 1455","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract -11010 from -24.08735056.\nAnswer: 10985.91264944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = -16*h**2 + 613*h - 416. What is c(38)?\nAnswer: -226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-5)\/(((-4)\/(-3))\/((-22)\/33))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -28741*s**6 + 157*s**2 + 4*s?\nAnswer: -3448920*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*m**3 - 1184*m**2 - 4712*m - 4704.\nAnswer: -2*(m + 2)**2*(m + 588)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t - 54 = 1216. What is the hundreds digit of (t\/25)\/(3\/(-30))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*w - 4 = 4. Suppose 0 = 4*d + 4 - 24. Let a = 6 - d. Do w and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -59114 + 8458?\nAnswer: -50656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 60*v - 55*v = -3*x - 54, -3*v - 42 = 5*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 0.367763 minutes in milliseconds?\nAnswer: 22065.78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -1 + -69a8a?\nAnswer: -69a8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y = 15 - 17. Let r = 43\/28 + -16\/7. Let t = 695 - 700. Sort y, 0, t, r in descending order.\nAnswer: 0, r, y, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1212 is divided by 572.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round 1.702009 to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 77 is divided by 62.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 27690.22002 less than -77002?\nAnswer: -104692.22002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is (((-24)\/15)\/2)\/(-41*(-264)\/(-1109460))?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 231994 is divided by 64?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 4582287 to the power of 1\/2, to the nearest integer?\nAnswer: 2141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -141*v + 144*v - 3282 = 0. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-2*v + 2*v + v)*(3*v - 2*v + 0*v) - 2*v**2 + 2*v**2 - 8*v**2)*(58 - 14*v - 58).\nAnswer: 98*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 15 + 465367?\nAnswer: 465404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 2016 and 28?\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*k = 5*r + 10*k - 46, -5 = -r - 5*k. Suppose -12*v = -r*v - 52. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 3\/2*o**2 + 0*o + 0.\nAnswer: 3*o**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5612916 is divided by 14655.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 6313137, 6313136, 6313135, 6313134, 6313133, 6313132?\n\"Answer: -p + 6313138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {m: 1, u: 2, q: 1, v: 2, w: 1, b: 1}. Give prob of sequence qw.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Round -0.472382 to 3 dps.\nAnswer: -0.472","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -310*b - 439*b = 1220*b - 63008 for b.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -65, -263, -607, -1109, -1781, -2635, -3683, -4937?\n\"Answer: -2*h**3 - 61*h**2 - h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = -2*y + 3. Let f = -6 + 8. Let l(w) = w**2 + 7*w - 8. Let x(o) = -o + 1. Let q(t) = f*x(t) + l(t). Give -5*p(i) - 2*q(i).\nAnswer: -2*i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = -y**3 + 10*y**2 - 22*y + 1. Let m be a(6). Let n(z) = -5*z - 2. Let d(f) = 1 + 11*f + 0 + 3. What is m*n(u) + 6*d(u)?\nAnswer: u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t = -3*j - 6, -j - t + 0*t + 8 = 0. Is (j\/2)\/(9\/460470) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 29 - 27. Solve 0 = -2*w - j*w, 2*w + 25 = 5*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = -b**2 + 3*b. What is v(-2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = -v**3 + 11*v**2 + 6. Suppose -182 = 3*l - 653. Suppose -5*m = -5*k + 255, -k + 4*k - l = -m. Let j = k + -41. What is s(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 8806051?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = -y**2 + 12. Let u(k) = 3*k. Calculate u(q(p)).\nAnswer: -3*p**2 + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) be the third derivative of -j**5\/120 - 5*j**4\/24 + j**3\/6 + 5*j**2. Let d(g) be the first derivative of w(g). What is the units digit of d(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u + 4*k = -2*u - 8, -3*k = u + 12. Is 7 less than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 1*(-4 + 2) - -59. Suppose 89 = 5*b - 2*c, -b + 31 = 4*c - 0*c. What is the greatest common divisor of s and b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1860 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 2989238*p - 2405 = 2989275*p for p.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h be -2 - (3\/(-3) - 8). Suppose 0 = 2*x - 0*x + 5*u + h, u = -x + 1. Solve 5*q - 19 + x = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 10000001101100010100011100 - 101?\nAnswer: 10000001101100010100010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = -42*w - 11. Suppose 8*g = 5*g - 3. Let p be d(g). What is the third biggest value in p, -1, -1\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 501 minutes before 7:47 AM?\nAnswer: 11:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 4*q**5 + q**4 - 3*q**3 + 162*q**2 - 83*q + 1416?\nAnswer: 80*q**3 + 12*q**2 - 18*q + 324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a = -2\/355 - -77\/1065. Is -1 at most as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 9389.\nAnswer: 41, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h be 6 + (-3 - (-3 - -4)). Suppose c - 9 = -h*w, 0 = 2*w - 2*c + 7*c - 29. Suppose 0 + 2\/5*b**w + 8\/5*b = 0. What is b?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) be the third derivative of i**6\/120 - i**5\/30 + i**4\/24 + i**3\/3 - i**2. Let m = 260 + -258. Give o(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5876371 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:59 AM and 10:42 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Does 11 divide 1298?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1907702847?\nAnswer: 3, 19, 101, 4091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = 76 - 216*p - 38*p - 50*p. Let t be c(9). What is t rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -3801901 * 292.\nAnswer: -1110155092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*l + 160 = 2*l. Let h = -46 + l. Suppose -5*r + 161 = -c, -r + 5*c - 3*c = -h. Calculate the remainder when r is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (0 + (-12)\/10)\/((-2)\/5). Find the third derivative of -a*w**2 - 2292*w**3 + 1302*w**3 - 22 + 4*w**2 - w**4 + 1284*w**3 wrt w.\nAnswer: -24*w + 1764","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (3\/12)\/(1475\/(-4602) - (-4)\/26)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {z: 4, l: 7, p: 5}. Give prob of picking 2 z, 1 p, and 1 l.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*x + 14*x + 4 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*n - 2*z = -3*z - 13, 12 = -4*n - 4*z. Suppose -4*g = -4*l + 50460, n*l + 5*g = g + 25206. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 6*b**2 + 5*b**3 + 4 - 4*b**2 - 4 to x*b**2 + l + y*b**3 + d*b and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 6093145 - 11246*g - 6093145 to w + s*g and give s.\nAnswer: -11246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 27 + (-4 - 29) + (-2 - 1) - -3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g = 193 - 117. Does 19 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = -14*x**2 + 4*x - 8. Calculate n(2).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 3693, 3789, 3885, 3981, 4077, 4173?\n\"Answer: 96*q + 3597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Subtract 1.9849946 from -11181.\nAnswer: -11182.9849946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1049505 is divided by 5896?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -35.0421646 * -0.2\nAnswer: 7.00843292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = -s**3 - 2*s**2 + 4*s + 21. Give d(-9).\nAnswer: 552","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 18130 and 1260.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = -49*v**2 + 15*v + v**3 + 49*v**2 + 22*v**2 + 12. Is z(-19) a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5497 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = -t**3 - 28*t**2 + 144*t - 38. Is n(-33) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 131 - -198. Suppose -2*t + s = 5*t. Is t a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 11*-1*(-25)\/(-100)*2*2\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (6 - 6 - y)*(-2*y**2 + 4*y**2 + y**2) - y**3 + y**3 + y**3 to g*y + w*y**3 + i*y**2 + v and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from xmxxmmmmmmxxmmmm. Give prob of picking 3 x and 1 m.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = 4*w - 2. Let m be a(3). Suppose -4*x = j - 36, 3*j - m = -3*x - 2*j. Suppose -5 = -4*f + 5*f + 2*t, 5*t = 5*f + x. Put -2, f, 1 in ascending order.\nAnswer: f, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 21029714, 21029716, 21029718, 21029720?\n\"Answer: 2*k + 21029712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 1111121101001011 - 11?\nAnswer: 1111121101001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -16187*d**6 - 151*d**2 - 84 wrt d?\nAnswer: -1942440*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -2*9\/(1215\/9)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 2178 and -0.242?\nAnswer: -527.076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:00 AM and 8:13 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 10561744007 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = q**3 - 2*q**2 - 2*q + 6. Let y be w(4). Suppose -o + y = o. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) be the second derivative of 5*t**7\/42 - 2*t**4\/3 + 2*t. Find the third derivative of q(o) wrt o.\nAnswer: 300*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w + 58 = 4*s - 434, w = -4. Calculate the highest common factor of 40 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2\/6 - (20\/(-4) + 5)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.2? (a) 0 (b) 4\/3 (c) -582444.2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = 2*z**2. Let h(j) = -106*j**2 - 3*j + 3. Let s(p) = 213*p**2 + 5*p - 5. Let v(b) = 5*h(b) + 3*s(b). Give v(t(i)).\nAnswer: 436*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 102 and 15456?\nAnswer: 262752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*-1*sqrt(119) - -5*sqrt(119)*2)\/(sqrt(343) + -5*1*sqrt(343) + sqrt(343)*3*-3).\nAnswer: -12*sqrt(17)\/91","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 1 - 1 - 3 - i**2 - 11 to n + z*i + t*i**2 and give n.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = -h - 7. Let b be c(-9). Suppose -3*u - 2*r = -11, 3*u + 2*u - 20 = -5*r. Find k such that 0*k + 2\/3*k**b + 2\/3*k**u + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-472)\/(-177)*(9\/9)\/((-156)\/(-18))?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) be the third derivative of 0*m + 5\/3*m**3 + 11\/60*m**5 + 2\/15*m**6 - 53*m**2 + 0 + 0*m**4. Let h(q) = 3*q**3 + 2*q**2 + 2. Calculate 11*h(k) - 2*w(k).\nAnswer: k**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -4*d**3 + 2673*d**2 + 229670*d wrt d.\nAnswer: -24*d + 5346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d be 1\/((-14)\/12 + (-34)\/(-204)). Let y(t) = 2*t**3 + 4*t. Let a(x) = -x**2. Determine d*y(n) - 2*a(n).\nAnswer: -2*n**3 + 2*n**2 - 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o be (2 + (-48)\/27)*3. Let y be 4\/14 + 2\/(-7). Let y*l + o - 2\/3*l**2 = 0. What is l?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 272, 2\/3, -73154?\nAnswer: 272","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 9838643 * -0.9\nAnswer: -8854778.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: (15 - 4) + -11 + -5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c be 6 - 1139\/(-187)*1\/(-1). Sort -3\/7, c, 0.18, -0.3 in ascending order.\nAnswer: -3\/7, -0.3, c, 0.18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 96 a factor of 8640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 0.0463 greater than -86?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 137277 is divided by 27423.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate (4\/10)\/((-816)\/(-40) - 21).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -112 + 114. Let l be -6*((-25)\/15 + o\/(-6)). Suppose -5*p = -k - 52, -2*p - 7*k = -3*k - l. Solve -p*a = -9*a - 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-2)\/3*10\/(-8 - -28). Let w be 3\/3 - (-7)\/(-6). Let j = p + w. Which is the closest to j? (a) -0.01 (b) -0.4 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is nine fourteenths of a week in hours?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) be the second derivative of -183*t**5\/20 - 25*t**4\/4 + t**2\/2 - 291*t. What is the third derivative of u(n) wrt n?\nAnswer: -1098","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -13\/3504 and -115\/876.\nAnswer: 3504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -7 (base 14) to base 3\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -3 + 0 - (10 + -9 - -3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -3 - -5.43272?\nAnswer: 2.43272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 491234746 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -1102112 - 12?\nAnswer: -1102201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z = -133 - -199. What is the remainder when ((-44)\/z)\/(362\/366 + -1) is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (3 - (7 - (-520)\/(-35))) + -10?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10101*g**2 + 0 + 10131*g**2 + 0.\nAnswer: 30*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Convert 1100022022112 (base 3) to base 5.\nAnswer: 140332100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*f**2 + 11*f**2 - 6*f**2)*(-18*f - 3*f + 8*f - 6*f)*(5*f**2 - f**2 + 0*f**2).\nAnswer: -760*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v = -8, 4*v = -5*u + 2*u + 44. Let o(z) be the third derivative of -z**6\/20 - z**5\/30 + z**3\/6 - 2*z**2. Let j be o(-1). Solve j*m = m - u for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 3.281 + -11.281. Which is the third smallest value? (a) 45 (b) h (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 11.36 + -11. Let v = c - 0.3599967. Round v to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1*-2)\/((3480\/(-30450))\/((-6)\/7)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -4\/11 (b) 0.1 (c) -4\/7 (d) 2\/13 (e) 1 (f) -1738 (g) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 39 a factor of 14307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = i**3 + 8*i**2 - i + 10. Let p = 15 + -13. Suppose 0 = p*d - 8 + 24. What is the tens digit of x(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 53844 and 10.\nAnswer: 269220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 19\/4 of a microgram in nanograms?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 2 + 0)*(-2*z + 3 - 3 + z - z + z + (0 - 2 + 1)*(-4 + 4 + 2*z) + 10*z - 36 + 36).\nAnswer: -7*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -4950 = -7*x - 4936 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v = -4700 + 4714. Solve -251 + 167 = v*b for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -136.338388 rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 199388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Divide 4582 by 54.\nAnswer: 2291\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = -4*n**2 - 34*n - 55. Determine a(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 818172252 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = 3*v**3 + 11*v**2 + 7*v + 8. Let o(u) = -7*u**3 - 22*u**2 - 13*u - 17. Let t(s) = 2*o(s) + 5*r(s). What is the units digit of t(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*f + 2*h - 6 = 0, f + 0*f - h = -3. Suppose f = -3*x + 31 + 14. Suppose -117*w - 11*w = -19200. Calculate the greatest common divisor of w and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 1502841, 1501971, 1501101, 1500231, 1499361, 1498491?\n\"Answer: -870*f + 1503711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) 0.06 (b) 1 (c) 778 (d) 0.1249 (e) 1\/2 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 197*z - 16272 + 3664 = 0 for z.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j = 18.12 - 18. Let d = j + 0.08. Which is the biggest value? (a) -0.4 (b) d (c) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = -y**3 + 6*y**2 - 4*y + 4. Let q be (7\/7)\/(2\/10). Suppose 12 = -2*k + q*k. Calculate the remainder when f(k) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 31944 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = 3*q**2 - 666*q - 1. Let a(l) = l**2 + 72. Determine g(a(y)).\nAnswer: 3*y**4 - 234*y**2 - 32401","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.998 and 0.4.\nAnswer: 0.3992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 4\/11, 0.2, 1\/6, 259, 2\/5?\nAnswer: 259","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = 5*s**2 + 2*s + 1. Let z be v(-1). Let l = 2379 - 2364. Solve b = -z*b + l for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -57027 by -596.\nAnswer: 57027\/596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 10785 to the power of 1\/2, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t = 674 + -82901\/123. Find the common denominator of 2\/11 and t.\nAnswer: 1353","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w = -4*w. Suppose -9 = p - 4*h, w*p - h = -p + 3. Let t = -3603 - -3605. What is the smallest common multiple of t and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-40)\/25*(-34)\/(-408). What is the third biggest value in -7, 27, 1\/2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 49 a factor of 685455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = -4809*m + 43279. Determine a(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*g**3\/3 + 16*g**2 + 170*g\/3 - 72.\nAnswer: -2*(g - 27)*(g - 1)*(g + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7321104 is divided by 35539.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1770985.\nAnswer: 5, 271, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 162 and 5751.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 623 minutes before 12:22 AM?\nAnswer: 1:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 91\/182048 and -99\/91024.\nAnswer: 182048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -349.19 rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -42*h - 81 - 3 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1388\/605 - 10\/363. What is the common denominator of 17\/96 and h?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6273?\nAnswer: 3, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 231 + -257 + 54 + -1.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of k**3 - 77363*k**2 - 229*k + 39 wrt k.\nAnswer: 6*k - 154726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 702 minutes before 9:48 AM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = -2*r + 47. Calculate p(19).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {z: 2, i: 2, f: 4, o: 3, k: 1, c: 6}. Give prob of sequence ccfz.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 22001110 + -1021?\nAnswer: 22000012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z - 11 = 7. Suppose -2*s - s = -z. Suppose i = 2*i. Solve d - s + 0 = i for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = -6*x**2 - 2*x - 2. Determine r(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.1 - -0.3. Let y = -38.3 + 3.3. Let g = y - -35.3. Which is the biggest value? (a) g (b) v (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 133294024*z**3 - 454627454*z.\nAnswer: 799764144*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 784*q - 33901 = -524*q + 55043 for q.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 z and 1 a when two letters picked without replacement from zzeazaaa?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -67*o**2 - 47*o - 22*o + 3*o**2 + 70*o.\nAnswer: -64*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 73\/25977 and -8\/1965593.\nAnswer: 5896779","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 14 and 518.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = 2*s + 2. Let c = -19 - -24. Suppose 72 = c*t - 38. Calculate the least common multiple of z(6) and t.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 125689946 and 86?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Convert 6070.869 nanograms to milligrams.\nAnswer: 0.006070869","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p = 158 - 163. Let q = 0.5141 + -5.5571. Let i = -0.043 - q. What is the second biggest value in -14, i, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 166.6321um to nanometers.\nAnswer: 166632.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**(2\/15)*k**(-2\/3)*k*(k**(-7)\/k*k)\/(k**1\/k))**4 assuming k is positive.\nAnswer: k**(-392\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -21*g - 7*g - 132 = 2*u, 11*u - 21*u - 2*g = -14*u - 4*g + 6 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/4 in -1\/12, -94, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n = 1 + 8. Let s(g) = -g - 2. Let f be s(n). Do -2\/13 and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 605 minutes after 10:41 AM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y = -201 + 203. Let f(h) = 7*h**3 + 6*h**2 - h + 5. Let s(z) = -3*z**3 - 3*z**2 - 2. Let m(o) = y*f(o) + 5*s(o). Factor m(l).\nAnswer: -l*(l + 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = -1572*f + 31435. Calculate u(20).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j = 2295 - 13727\/6. Find the common denominator of j and 151\/1350.\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -920 - -0.059\nAnswer: -919.941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -34\/3*c - 1\/3*c**3 - 19\/3*c**2 + 0 = 0 for c.\nAnswer: -17, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) be the first derivative of 7*a**4\/4 - a**3\/3 + a - 189. Give l(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-108)\/(-5) - 6\/(-15). Suppose 3*m - j = -5*t, -3*t - t - m = -19. Solve -b - b - 14 = t*u, u - b = -7 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6497764 = -2*t - 77744. Suppose h + k = 3*k - t, 3*k = -3*h - 9629985. Round h to the nearest one hundred thousand.\nAnswer: -3200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} {"text":"Question: Which is greater: 195 or 32?\nAnswer: 195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -55 = -v + 5*m, -v + 25 = -m + 2*m. Suppose 7*s = 2*s + v. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -19 + (4 + -18 - -16).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {x: 6, y: 8, g: 1}. What is prob of picking 3 x?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -0.167752 plus 10686299.45?\nAnswer: 10686299.282248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r be 5 - (3 - (2 + -2)). Solve -r = 4*o - 6 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (26 - 1)*60\/(-50). Let k be ((-6)\/(-4))\/((-9)\/g) - 3. Put k, -5, 135 in ascending order.\nAnswer: -5, k, 135","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 6 and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t be 92\/(-23) + 1*40. Suppose -u - 30 = -4*u. Suppose u*b - b = t. What is the lowest common multiple of b and 11?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -12022012222 (base 3) to base 4.\nAnswer: -121133120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.4*7.82.\nAnswer: -3.128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose h - 4 = -0*h. Solve 4*w - h*v = v + 12, -w + 4*v = -3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = -6*y - 5. Let i = -72 + 68. Let x be i\/26 + 0 + (-228)\/39. Let m be q(x). Solve -3*n + 5*o - m = n, 0 = -5*n - 4*o - 8 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -30*g**2*t*u**2 - 56*g**2*t*u + 2149*g**2*u - 30124*g*t*u**2 - 5 wrt u?\nAnswer: -60*g**2*t - 60248*g*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s be (3*(-3)\/(-2))\/((-318)\/(-12) + -25). Solve -4*l - v = -1, s*l - 2*v - 14 + 5 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -46188*o**2 + 40*o - 4915551?\nAnswer: -92376*o + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} {"text":"Question: Let w(h) = 405*h + 817. Calculate w(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 10221976.\nAnswer: 2, 127, 10061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort -1.79, -5, 17.\nAnswer: -5, -1.79, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let 136 - 33*t**2 - t - 145 + 34*t**2 + t = 0. Calculate t.\nAnswer: -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(2) + sqrt(2) + 0 + sqrt(2)*-2 + sqrt(200)*-2)*6)**2.\nAnswer: 28800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Work out 751 * 2.4.\nAnswer: 1802.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -0.1 (b) -0.3 (c) -7\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.2985 - -0.0155. Let y = i + -0.114. Which is the smallest value? (a) 5 (b) y (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 27 - 25. Suppose -3*b - y = 221, y + 134 = -s*b + 3*y. Let t = b + 120. Is t a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1625132 is divided by 231.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) = -m**3 - 3*m**2 + 4*m + 5. Give n(-5).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = 47*w**2 + 42*w - 2. Calculate c(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 21363 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is -14936217 less than -14936206?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = -n**2 + 15*n - 47. Let o be p(10). Suppose 0 = -5*g + 4*r + 224, -o*r + r = 3*g - 130. Calculate the smallest common multiple of g and 10.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -61\/2 + 32. Let h be (-128)\/(-252) + 4\/(-14). Which is the closest to 0? (a) g (b) h (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/4? (a) -22 (b) 4 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) = -273*u**3 - 13100*u**2 - 20231*u - 4174. Let o(g) = 54*g**3 + 2620*g**2 + 4046*g + 836. Let i(a) = -2*f(a) - 11*o(a). Let i(k) = 0. What is k?\nAnswer: -53, -4\/3, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*p**4 - 1490*p**3 + 30328*p**2 - 9944*p = 0.\nAnswer: 0, 1\/3, 22, 226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r**(-14)\/(r**6*r*r))\/((r*r**(-5\/3)*r)\/(r\/r**(-3\/7))) assuming r is positive.\nAnswer: r**(-439\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 x and 1 s when four letters picked without replacement from mxgxxmgsgxxgxsgomgx?\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2684.\nAnswer: 2, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 23587 and 103.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = 10*k - 151. What is b(15)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 558 minutes after 3:31 PM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {h: 4, o: 2, i: 2, p: 1}. What is prob of sequence pi?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 11616 and 7328448?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 79768*o + 27590*o + 76851*o - 36133*o + 60604*o.\nAnswer: 208680*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (10 - (-37 - -44)) + (1 - 14)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-1 + 3)\/(-2) + 1\/(-1). Is 10379\/5 + c - (-4)\/(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -2249 + 146164\/65. Find the common denominator of v and -1*(-1 - -1 - 7\/14).\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -0.3, 1, -4, -1, 0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.2102 - -2.2102. Which is the fourth biggest value? (a) 2\/49 (b) 0.1 (c) x (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g\/g**(-2\/5)*g*g**(-15))**(4\/11) assuming g is positive.\nAnswer: g**(-252\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 116972158645 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Convert 1020432 (base 5) to base 6.\nAnswer: 210400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k = -8 - -10. Suppose k*x = -2*x. Suppose -5*n - 45 = -u, -3*u + x*n + 145 = -5*n. Does 10 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 4\/16*-34*-2. Calculate the greatest common factor of n and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 42 a factor of 39096?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 5265 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 20592 and 2904?\nAnswer: 226512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = 3*j**2 + 3*j**2 + 13*j**2 - 21*j**2. Let v(m) = 65*m**2. What is v(p(g))?\nAnswer: 260*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (v + v - 4*v)*(3*v**3 - 5*v**3 + 3*v**3)*(-6 - 5 + 5).\nAnswer: 12*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1179 + 1184. Solve -10 = -4*q + 2*o, -5*o = -q + 21 - a for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -4 - -3.81. Let y = o - 5.41. Let w = 5.59932 + y. What is w rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = 13*l - 183. Let f be s(17). Is f greater than or equal to 38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -61, -118, -175?\nAnswer: -232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 42854627?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 15941?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2204 is divided by 2195.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Total of 104 and -0.02.\nAnswer: 103.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1372)\/sqrt(4) + 2)*-3 + ((sqrt(70) + sqrt(70)*-2)*-6)\/(sqrt(10) + (6*sqrt(40)\/sqrt(4) - sqrt(10))).\nAnswer: -20*sqrt(7) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 285057, 285061, 285065, 285069, 285073, 285077?\n\"Answer: 4*o + 285053","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 685 minutes before 8:26 PM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 3528 and 1744176.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2597 is divided by 137?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -152*k + 153*k - 2900 = 0. What are the prime factors of k?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -2.4 - -2.21. Let d = -0.09 - y. Which is the closest to 1\/2? (a) 3 (b) -5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*d = -3*d - 90. Suppose p - 30 = -4*q - p, 5*q = 4*p + d. Which is bigger: q or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3872572\/11 + (14 - 3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = 250384*p + 6509980. Give t(-26).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 3\/10 of a hour?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-12*q**4 - 12*q**4 + 7*q**4)*((3*q - q - 4*q)*(-1 + 2 + 0) - 5*q - 15*q - 20*q).\nAnswer: 714*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*(sqrt(187) - (sqrt(187) - (sqrt(187) + 4*(sqrt(187) + sqrt(187)*1)))))\/(-3*2*sqrt(1100)).\nAnswer: 3*sqrt(17)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is (2 + -2 - -1) + -2*2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = -21*i**3 - 2*i**2 + i. What is the remainder when j(-2) is divided by 46?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-1)\/(-3)*-3*2. Let b be t\/10 + (-4)\/(-10). Put b, 2\/5, -5 in ascending order.\nAnswer: -5, b, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = 258*m + 196*m + 83*m - 75*m - 25. Is k(16) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3409 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -58505 - 3?\nAnswer: -58508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is next in -21, -6, 33, 108, 231?\nAnswer: 414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) be the first derivative of 21\/4*w**2 + 3\/10*w**5 + 9\/2*w**3 + 5 + 3*w + 15\/8*w**4. Find m, given that d(m) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + ((-1 + sqrt(1088) + 0 - (sqrt(1088) - -3*2*sqrt(1088)))**2 - -6*((sqrt(1088)*2)**2 - sqrt(1088))*4).\nAnswer: -96*sqrt(17) + 143618","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = q**3 - q**2 - q. Let m(c) = 2*c**3 - 18*c**2 - c - 2. Give m(u) - 3*x(u).\nAnswer: -u**3 - 15*u**2 + 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = 10*t**3 + 6*t**2 - 7*t + 13. Suppose 4*d + 31 - 3 = 0. Let m(f) = 3*f**3 + 2*f**2 - 2*f + 4. Calculate d*m(w) + 2*v(w).\nAnswer: -w**3 - 2*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*x + 2358 = -3*h + 2364, 0 = -h + 2*x - 1 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -5548228*k**3 - 2*k**2 + 593849 wrt k.\nAnswer: -33289368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 272560*y + 1 - 1 + 0.\nAnswer: 272560*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*t**2 - 9*t**2 + 0*t**2 + 5*t**4.\nAnswer: 5*t**2*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -16*j**4 - 6 - 27*j**4 + 2*j - 3*j**5 + 37*j**4 wrt j?\nAnswer: -60*j**3 - 72*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -11805 + 37062 = 1517*q + 261*q - 36973 for q.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x = -11.2 + -2.8. Let c = x + 14.5. Let y = -0.5 + 0.3. Put c, -1\/3, y in descending order.\nAnswer: c, y, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -56 + o**2 + 17 + 0*o - 5*o - 72 + 7*o as s*o + f + v*o**2 and give f.\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -6080723 or -6080728?\nAnswer: -6080723","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -161\/1860 and 41\/117800.\nAnswer: 353400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 283 minutes after 4:03 AM?\nAnswer: 8:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (-79*i - 2*i + 610*i**2 + 81*i)*(2*i**2 + 13*i**2 - 2*i**2).\nAnswer: 7930*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 4.366609l in millilitres?\nAnswer: 4366.609","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 188 and 6796811.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s be 12*(1 + 2\/(-4)). Let n be (3\/s)\/((-2)\/8). Is n\/(-10) - 19\/(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) be the first derivative of r**6\/360 + r**5\/24 - r**4\/8 + 16*r**3\/3 - 3*r - 25. Let w(h) be the third derivative of g(h). What is w(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*d**2\/19 - 13032*d\/19 + 13030\/19.\nAnswer: 2*(d - 6515)*(d - 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 265 equal to 258?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 566.\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 - 18 = -2*p. Let j(d) = -d**2 + 7*d - 2. Let l be j(p). Find the third derivative of -8*x**2 - 5*x**l + 2*x**2 + 2*x**2 wrt x.\nAnswer: -120*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -14 + 346672\/15792 + -8*1.\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = -7*o**3 - o**2 - o - 1. Let c be v(-1). Suppose -r = -c*r + 30. What is the greatest common divisor of 54 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -646\/45 - -20903\/1710. Find the common denominator of 83\/6 and v.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -92 = 2*i - 20. Let d be (4\/(-3))\/(8\/i). Let h = 8 - d. Solve 3*z = 3*p - 24, 0 = h*p + 3*z - 0 - 1 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 838790.\nAnswer: 2, 5, 37, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -40 in -0.1, -1\/6, -4\/3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 0 to the power of 1\/9, to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 6165525 (base 7) in base 6?\nAnswer: 23501410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 16\/10*5\/(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -11943600 rounded to the nearest one million?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -158a + 28729?\nAnswer: 2716c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -752*l**6 + 19*l**2 - 17*l wrt l.\nAnswer: -90240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round 0.413577943 to 4 dps.\nAnswer: 0.4136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-4)\/6 + 51\/9. Let m(q) = -q**2 + 6*q. Let t be m(f). Let h(d) = d**3 - 5*d**2 + 3*d - 3. Let y be h(t). Solve 0 = -2*o - o - y for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -166 + 161. Which is the nearest to -2\/3? (a) 5 (b) -0.4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) be the second derivative of u**5\/20 - 17*u**4\/12 - 17*u**3\/6 - 33*u**2\/2 + 598*u. Give y(18).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 14560638 to the power of 1\/2, to the nearest integer?\nAnswer: 3816","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = -4*j**2 - 85*j - 91. What is h(-19)?\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = 0*b - b**2 - 1 - 10*b - b**2. Let h(r) = r**2 + 3*r. Let q(m) = -6*m**2 + 12*m - 2. Let l be q(2). Determine l*o(k) - 7*h(k).\nAnswer: -3*k**2 - k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*l + 3*h + 432, -5*l + 3*h + 233 = -493. Let j = 731\/5 - l. What is the third biggest value in -2, j, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 26779806821 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:15 AM and 10:21 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 8762, 42990, 100036, 179900, 282582, 408082, 556400?\n\"Answer: 11409*s**2 + s - 2648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = 687*f - 42. Is 14 a factor of q(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = 8*l**2 - 9*l + 7. Let o(j) = -23*j**2 + 26*j - 20. What is -17*b(r) - 6*o(r)?\nAnswer: 2*r**2 - 3*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort 929505, 3, 545.\nAnswer: 3, 545, 929505","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f be 32\/(-7) + 4\/7 + 0. What is the remainder when (94\/f)\/(27\/(-54)) is divided by 34?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -649*m + 3900 = 155*m + 24804 for m.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 12703044 divided by -633\nAnswer: -20068","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence vww when three letters picked without replacement from {w: 3, v: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -43 - 236223?\nAnswer: -236266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (4\/6)\/(34\/(-51))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) be the second derivative of -1\/12*j**4 + 2*j**2 + 0 - 5*j + 5\/6*j**3. Suppose -m + 5 = -0. Determine b(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = l, 0*o = 2*o - 4*l + 44. Let d(k) be the first derivative of -k**3 - 8*k**2 - 26*k - 7. Let w be d(o). Round w to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-104)\/(-10) + 1080\/(-450). Calculate the highest common divisor of s and 178.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o**(-2))**28)**(-4\/3) assuming o is positive.\nAnswer: o**(224\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Add together -0.6688 and 1114.\nAnswer: 1113.3312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (-2387)\/124*(2*-5 - 2) is divided by 57?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from wfwcxcwwxwxc. What is prob of sequence xwx?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 1668 and -30.57?\nAnswer: -50990.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.4 and -323844589?\nAnswer: 129537835.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 10176386.\nAnswer: 2, 11, 61, 7583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 229396 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 is the third derivative of -8798979*c**5 + 210*c**2 + 1527*c + 4?\nAnswer: -527938740*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is next in -12142690, -24285374, -36428058, -48570742, -60713426, -72856110?\nAnswer: -84998794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -4105 or -106695\/26?\nAnswer: -4105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = 5*f + 16. Let h be s(-7). Let o = -18 - h. Suppose -2*g + 9 + 1 = 0. What is the smallest common multiple of g and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of 4 and 10201.\nAnswer: 10205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1140 or 1117?\nAnswer: 1140","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1825789360?\nAnswer: 2, 5, 22822367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = -b**2. Let n(w) be the second derivative of -w**4\/3 + 2*w**3\/3 - 15*w. What is n(h(v))?\nAnswer: -4*v**4 - 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16 = 20*t + 9376. Let n be ((-16)\/(-10))\/(-8) - t\/15. What is the highest common divisor of 124 and n?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 28.22 - 28. Let q = 0.28 + -0.3. Let j = q + m. Which is the biggest value? (a) j (b) 2\/7 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 61 = 5*b + 4*z - 8*z, -5*z - 65 = -59*b + 55*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*sqrt(20))**2 + 3 + 3.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 206 a factor of 81934954?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -1318*n - 468972 = 2404*n for n.\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -3\/17 (b) 5 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q = 20558 - 20557. What is the closest to q in 13, -1\/30, -2?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 2\/15, 3\/2, -14, -2\/29, 0.54, -1, 8?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**(-3\/4)*o*o*(o*o**(2\/7)\/o*o)\/o*o*o)**(16\/5) assuming o is positive.\nAnswer: o**(396\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in a**3 - 16*a**3 - 672*a**2 + 343*a**2 + 329*a**2.\nAnswer: -15*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:09 PM and 2:28 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p = 1.95 + -2. Let h = -0.059 - 4.391. Let l = h + p. Round l to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in -0.079, -3, 5?\nAnswer: -0.079","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -0.068047003 plus -2.1442?\nAnswer: -2.212247003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert 17.6984 centimeters to millimeters.\nAnswer: 176.984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert -1020222012010 (base 3) to base 2.\nAnswer: -10100011001111010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q - 3*q = -10. Suppose -2*f - a = -f - q, 0 = f + 5*a - 10. Suppose 34 - 36 = l. Put l, -4, f in decreasing order.\nAnswer: f, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3949 a factor of 132571879?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 242 a factor of 1065626066?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.467 and -3.23.\nAnswer: -1.50841","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b = -315 - -315.5. Let y = -1 - -1. Let h = 0.8 + -1. What is the third biggest value in b, y, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = 4*z + 21. Let l be n(7). What is the greatest common factor of 7 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 0 + -2*1 + 4. Let s(k) = k**2 - 65*k - 129. Let n be s(-2). Sort n, f, 4.\nAnswer: f, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = l**2 - 19*l - 18. Let c be q(25). Suppose 3*k + 3*a - 252 = 0, k - 256 = -2*k - 2*a. What is the greatest common factor of k and c?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 324013 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate -52 + 12 + (13 - 15) - -3.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 388 minutes before 6:47 AM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = -2*m**3 - 45*m**2 - 87*m + 19. Give v(-20).\nAnswer: -241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -38, -37, -36, -35, -34, -33?\n\"Answer: s - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = -x**3 - 3*x**2 - x + 1. Let z be p(-3). What is the third derivative of 0*u**4 + u**2 - 3*u**5 + 0*u**z + 5*u**5 wrt u?\nAnswer: 120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -10 - -15. Suppose 5*o = 3*f - 7, 4*f = -f + m*o + 15. What is the second derivative of 2*c - c + 5*c - 2*c**f wrt c?\nAnswer: -24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -120 + 175. Is 3 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 15 + 2453024?\nAnswer: 2453043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 3012 (base 4) to base 14\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*g - 70 + 22. Is g not equal to 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-72)\/288)\/(2\/20).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*x - 7*x + 10 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor -j**2\/5 + 31280218*j\/5 - 244613009531881\/5.\nAnswer: -(j - 15640109)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*f**3\/5 + 5956*f**2\/5 + 1449894*f\/5 - 14056056\/5 = 0. What is f?\nAnswer: -501, 28\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1487 + 1489. Let k = 7 - 6. Let m be -12*(0 + k)\/(-4). Solve -3*v - m*l + 4 = -l, -v = -l + g for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*v + 8 = -4*q, 4*v + 22 = -4*q - 2. Is (-857)\/(-4) + q\/16 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 31398307, 62796623, 94194939, 125593255?\n\"Answer: 31398316*u - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {r: 3, i: 7}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v - 3*x - 6 = v, -4*x - 11 = 3*v. Is 2 - 759\/v - (-2)\/3 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = f**3 + 72*f**2 + 138*f - 390. Give c(-70).\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -11 - 123311?\nAnswer: -123322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o + 216 + 37158 + 17518 = 0. What is the thousands digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*(sqrt(13) + 0) + sqrt(52)\/sqrt(196) - 2*((sqrt(156) - (sqrt(156) + sqrt(156)*1 - sqrt(156) - sqrt(156)))*-4 - sqrt(156))\/sqrt(12).\nAnswer: 29*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Multiply -60 and -0.4.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate (9 - -76) + -91 + (1 - 6).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k = 1702\/7 + -243. Which is the nearest to 0.3? (a) k (b) -9 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = v + 5. Let j(z) = -4*z - 24. Let m(a) = 28*d(a) + 6*j(a). Is m(3) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*h**3 + 20*h**2 + 32*h + 16.\nAnswer: 4*(h + 1)*(h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r = 2\/57851 + -3760491\/5090888. Calculate the common denominator of 101\/4 and r.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-19*(-60)\/(-50))\/((-4)\/(-185)). Let z = 1056 + g. Suppose 3\/2*r**2 + 1\/2*r**3 + z*r + 1\/2 = 0. Calculate r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 261 is divided by 88.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in -0.0347, -0.09, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 1, p: 1, n: 1, x: 2}. What is prob of sequence pf?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wss when three letters picked without replacement from {w: 3, s: 4}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 504 minutes after 8:53 PM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) be the first derivative of 3*o**4\/16 - 9*o**2\/2 + 12*o + 131. Determine r, given that h(r) = 0.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 611 divide 37091366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/2? (a) -2\/29 (b) -24 (c) 3\/5 (d) 94.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 0\/((-6)\/(-2)) + (-297)\/(-27)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = -6*p. Let n(z) = -2*z**2 + 2121203*z - 3. Calculate y(n(o)).\nAnswer: 12*o**2 - 12727218*o + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:42 AM and 2:23 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 504715 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f = 15 - 16. Let p = f - -2. Let i be (-10)\/(-4) + p\/2. Solve i*t = -4*m + 2, 3*m - 3*t + 2 = -7*t for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/49? (a) 3 (b) 9.9 (c) 2\/7 (d) -136\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*z - 2*z. Suppose 3*x - x - 42 = z. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 4534650 and 1680?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = 28*c**3 + 28*c**2 - 22*c + 18. Let x(k) = 9*k**3 + 8*k**2 - 7*k + 5. Let i(m) = -2*w(m) + 7*x(m). Let s(o) = o**3 - o. Determine -4*i(y) + 20*s(y).\nAnswer: -8*y**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 128294 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 v, 1 a, and 1 s when three letters picked without replacement from {t: 1, v: 2, a: 1, s: 3}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(77)\/(-5*sqrt(1100)).\nAnswer: -sqrt(7)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify c\/(c**(2\/29)\/c)*c*c**(-3)*(c**(1\/10)\/c)\/c*c**1\/c assuming c is positive.\nAnswer: c**(-571\/290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide 404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-6)\/5*(-10)\/4. Suppose b = m + a, b + m - 6 = -m. Suppose 2*y - b = -2*y. Calculate the lowest common multiple of y and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -5, -3, 4, 57 in increasing order.\nAnswer: -5, -3, 4, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m + 25*u - 27 = 22*u, -15 = -2*m + u. Let p = -4 - -6. Differentiate 3*w**p - m + 6*w**2 + w**2 + 0*w**2 wrt w.\nAnswer: 20*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 31 divide 164487147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -59 or -46?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Round -0.03195 to three dps.\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 127887214 a multiple of 266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 532 and 665.\nAnswer: 2660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c be (1 - 2) + -1 - -3. Let r be ((-5)\/(-2))\/(2\/4). Solve -2*y = r*t + c, 3*t = 7*t + 4*y + 8 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 64536 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2*c**6 - 671*c**4 - 10534 + 143*c**2 - 10536 - 2*c**3 + 21071 + 2*c**3 wrt c?\nAnswer: -240*c**3 - 16104*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.3, 0, 5\/648 in descending order.\nAnswer: 0.3, 5\/648, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is b - c3?\nAnswer: -b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/4 of a second in milliseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s - 40 = -3*s. Let f = s + -6. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -110*t**2 - 74*t wrt t.\nAnswer: -220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*s - 3*c = -869 - 2607, 3*c = 3*s + 2082. Let b = s + 1426. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 0*j + 0 - 1024\/5*j**2 - 2\/5*j**3.\nAnswer: -2*j**2*(j + 512)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 3545 + -1858. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*p**2 - 4*p**2 + 11*p**2 + (-34*p + 88*p + 54*p + (2 + 2*p - 2)*(1 - 1 - 2))*(5*p - 3*p - p + (2 + 4 - 4)*(p + p - 4*p) + 2*p - 1 + 1 + p + 4*p - 8*p).\nAnswer: -409*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) be the second derivative of 37*l**5\/20 - l**4\/4 + l**3\/2 - 1792*l. Let f(r) = -3663*r**3 + 296*r**2 - 296*r. Give 3*f(a) + 296*u(a).\nAnswer: -37*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h = -25 - -58. Suppose -36*v + h*v = -132. Suppose 4*t - 20 = 40. Calculate the remainder when v is divided by t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 + -4 + 9 - -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -189 + 211 - (-2 + 10)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z + 6 = 0, 4*p + 0*z + z = -38. Let n be (-1 + 0 - -2)\/(4\/20). Let d = n - p. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.4562 - -1.1462. What is the second biggest value in -0.1, p, 1, -0.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 404733 and 273.\nAnswer: 5261529","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -9 = 3*r + 2*z, 2*r - 4*z - 15 = 5*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 117 = 4*n - 119. What is the remainder when n is divided by ((-7475)\/(-117))\/5 + 4\/18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 6015 + -17230740084\nAnswer: -17230734069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a be 6*(3\/(-6) - -1). Suppose a*u = -u. Solve -3*s = -u*s - 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be -4*355\/(-40) - (-9)\/(-6). Let l = 139 - n. What is the smallest common multiple of 15 and l?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 406196227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (((-756)\/(-16))\/(-9))\/((-3)\/88)?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 14 and ((-4841 + (6 - 4))\/(-1))\/(6\/4).\nAnswer: 22582","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in fifty-five thirds of a century?\nAnswer: 22000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1 - 56) + -1 + 50 + -31 + -29.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = -25160*g**2 - 555*g. Let s(d) = 181*d**2 + 4*d. Calculate 4*j(m) + 555*s(m).\nAnswer: -185*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q = 132.9936 + -133. Let g = q + 7.0064. Which is the second smallest value? (a) g (b) -1 (c) -5 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 32437 by -10.\nAnswer: -32437\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000392433219 rounded to 6 dps?\nAnswer: 0.000392","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} {"text":"Question: Factor 2*n**3\/5 + 165744*n**2\/5 + 165742*n\/5.\nAnswer: 2*n*(n + 1)*(n + 82871)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l be -2 - 16\/(-2)*(-7)\/(-9 + -19). Solve 2*u - c + 24 - 27 = 0, l = 3*u - 3*c for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 0 + -83?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify n*n**(-4\/3)*n*n**1*(n**(-1\/4))**3 assuming n is positive.\nAnswer: n**(11\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 336 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) be the third derivative of 485*k**4\/8 + 347*k**3\/2 + 53*k**2. Differentiate z(d) wrt d.\nAnswer: 1455","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (75 - 152 - 210 - 6)*(o + o + 0*o) to the form j + b*o and give b.\nAnswer: -586","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r = 2 - 34. Let d = -14 - r. Let l(u) = 7*u**2 - d*u**2 + 9*u**2. Let w(x) = -30*x. Calculate l(w(h)).\nAnswer: -1800*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -15571*q - 34700 wrt q?\nAnswer: -15571","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 85, 89, 93?\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (6 - 6 + 4*o**2)*(2*o**3 + 16 - 16) - o**5 + 3*o**5 + 0*o**5 + o**3 - 2*o**2.\nAnswer: 10*o**5 + o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -237, -231, -223, -213, -201, -187?\nAnswer: -171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r be (7 - 0)\/(3 - 4). What is the nearest to -0.2 in 2\/3, -2, r?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 14041743176252 + -14041749920818.699953. Let r = -6744577 - w. Let j = -10.3 - r. Round j to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 43103044 + 4?\nAnswer: 43103103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -1955*p**3 - 861*p**3 - 12*p + 168*p**3 - 6 + 6 wrt p.\nAnswer: -15888*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = 8*v**2 + v. Let t(s) = -7*s**2. Let w be (-238 - 15)\/23 - 16\/(-2). Determine w*q(d) - 4*t(d).\nAnswer: 4*d**2 - 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = -a**3 - 3*a**2 + 3*a - 1. Let b(r) be the second derivative of 1\/6*r**3 + 0 + 5*r - r**2 - 1\/6*r**4. Let x be b(1). Calculate y(x).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -54 in -1\/4, 3, 39123?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -16*u**2 + 75*u - 17 - 38 - 72*u - 61*u**2.\nAnswer: -77*u**2 + 3*u - 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Divide 8 by 75.\nAnswer: 8\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 2485 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert b83 (base 13) to base 4.\nAnswer: 132232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*c - 3 = 55 + 6. Solve -3*z - c*p + 12 = 0, 9 + 6 = z + 5*p for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (((-8)\/(-15))\/(-4))\/(32\/96). What is the nearest to -8 in 1\/4, 0.4, 3\/8, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -18 + 13. Let f = r - -9. Let q(p) = -2*p + 6. Let j be q(f). Put -2\/3, -4\/3, j in ascending order.\nAnswer: j, -4\/3, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -239 or -238?\nAnswer: -238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 45\/8 of a millennium?\nAnswer: 67500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = 2*g**2. Let n(u) be the first derivative of 13*u**2\/2 - u - 9. Calculate b(n(c)).\nAnswer: 338*c**2 - 52*c + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is (1\/(-64)*-8)\/(3\/(-12))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 48568373.\nAnswer: 7, 6938339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y = -5*r + 4*y - 44, 5*y - 50 = 5*r. Let j(h) = -7*h - 11. What is the tens digit of j(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:56 AM and 7:51 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -191, -193, -195?\n\"Answer: -2*v - 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 711, -727, -2339, -4125, -6085, -8219, -10527?\nAnswer: -13009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: (-24)\/14*(-49)\/14\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = -2*k + 2. Let l be 2\/(-2)*-9 + (1075 - 1088). Which is the nearest to -2\/7? (a) 2 (b) k (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -1 - 1ccc4c?\nAnswer: -1ccc50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d + 11 = 4*u - 3*u, -u - d + 13 = 0. Suppose x = -4*h + u, 4*x = 4*h + 110 + 10. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 20449 by 1859.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = -3*w**2 + 4. Let c(s) = 13*s**2 - s - 16. Let m(j) = 2*c(j) + 9*q(j). Give m(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7*y**2 + y**2 - 18*y - 2*y**2.\nAnswer: -8*y**2 - 18*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -5 - (1 - 2) - (2 - -11 - 0)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = j**2 - 9*j + 3. Let z be a(9). Suppose 0*r + 6 = q - r, z*q = 2*r + 13. What is the remainder when (-9)\/(-4) + 1\/(-4) is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3 + -1 - -2)\/(168\/1932).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3194?\nAnswer: 2, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -83415*f + 2774 - 2774.\nAnswer: -83415*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-1808 + 163*i**3 + 904 + 903)*(2*i - 3*i + 0*i) to the form n*i**2 + s*i**4 + c + a*i**3 + g*i and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = -m**2 - 10*m + 1. Suppose 4*n + 30 = -10. Let q be p(n). Let g = 3812\/11 - 346. Which is smaller: g or q?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) be the second derivative of -263*i**6\/30 + i**5\/4 - i**4\/12 + 11*i**3\/3 - 23*i**2\/2 - 467*i - 7. What is the third derivative of n(j) wrt j?\nAnswer: -6312*j + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 127542005 to the power of 1\/3, to the nearest integer?\nAnswer: 503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from qxuxuquuufuf. Give prob of sequence uxx.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z = v - z - 31, -5*z = v - 41. Calculate the remainder when 63 is divided by v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 985843508 to the nearest integer?\nAnswer: 31398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + -4*5*5*(-3 + sqrt(343))*1)**2.\nAnswer: -422800*sqrt(7) + 3521204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 2\/7 (b) -3\/10 (c) 0 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 10 + (-123)\/15 - 4\/5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from uvguvpugyuyuygv. What is prob of sequence vggu?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j = 277.4 - 275. Which is greater: j or -1\/4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 121442 divided by 82?\nAnswer: 1481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 521873 is divided by 10872.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*w + 4*w = 2244. Let b = 469 - 418. Calculate the greatest common divisor of w and b.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -32 + 63 - 31 - 3*h + 10*h.\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(5000)*1)\/((sqrt(10) - sqrt(60)\/sqrt(6)*2 - sqrt(10)) + sqrt(10)).\nAnswer: -10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g be 4\/(-26) - -2 - ((-1666)\/182 - -9). Solve -2*i = -5*o + 10, 3*i + 21*o + g = 22*o for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -6*d**2 + d**2 + 0*d**2 + (-1 + 1 + 2*d**2)*(-1 + 0 + 3) + 2 - 2*d**2 - 2 + (5*d + d - 4*d)*(-d + 2*d - 3*d) + 3*d - 3*d - 2*d**2.\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 97 minutes before 5:05 AM?\nAnswer: 3:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = -d**2 - 3*d + 2. Suppose 0 = -2*r - 0*r - 8. Give v(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 946 and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 150?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = 10*g**3 + 14*g**2 + 11*g - 19. Let d(y) = -y**3 - 8*y**3 + 22 - 9*y**2 - 7*y - 9 + 2*y**3. Let o(r) = 7*d(r) + 5*x(r). Determine o(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 61508, 122993, 184440, 245843, 307196, 368493?\n\"Answer: -i**3 - 13*i**2 + 61531*i - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18*w + 132 = 20*w. Suppose -9*r + w = -159. Solve r*l = 28*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((k*k**(-6)\/k)\/k)\/(k*k**(-2\/5)\/k*k*k))\/(k**0\/k)**(-40) assuming k is positive.\nAnswer: k**(-243\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Convert 33481.35 months to millennia.\nAnswer: 2.7901125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = -433031*r - 93. Let y be t(-3). What is y rounded to the nearest 100000?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3386005 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -1415, -1317, -1149, -905, -579, -165?\n\"Answer: t**3 + 29*t**2 + 4*t - 1449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-147)\/42*48\/56.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:23 PM and 5:01 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is -4914 >= -5020?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 3164 and 280.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 8367 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 i and 1 q when two letters picked without replacement from iqniqiiqidddiqqi?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: (3\/(27\/(-303)))\/(1\/3)*42776\/42776\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 391 minutes after 2:37 PM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -690*c**4 - 4*c - 5?\nAnswer: -8280*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort 8498399, 4, -3 in increasing order.\nAnswer: -3, 4, 8498399","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = -4*p - 16. Let m be f(-4). Let r be m*2*4\/(-16). Put r, 6, -3 in ascending order.\nAnswer: -3, r, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 262798443 divided by 2979.\nAnswer: 88217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*u**3 + 0*u**3 + 4*u**3)*(5 - 2 - 1) + 0*u**3 - 4*u**3 + 3*u**3 + (3*u - 3*u + 2*u)*(u**2 + u**2 - u**2).\nAnswer: 5*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g be 11\/(-30) - 9\/(-45). Let n = 0.04 - -0.03. Which is the third biggest value? (a) -3 (b) g (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = 4*l - 1043. Let a(k) = -5*k + 1039. Calculate -3*a(z) - 4*v(z).\nAnswer: -z + 1055","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d be 2\/(-2) - (-2 - 0). Is d\/2 - 146\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: (1*-2 + (-36)\/(-15))*231\/154\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (1\/12)\/(-10 + 84\/8). What is the second biggest value in 0.3, -3.5, h, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence rv when two letters picked without replacement from prpvpvpprvrppppv?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 64\/5 of a litre in millilitres?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 1122 and (1482\/133)\/(6\/21).\nAnswer: 14586","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -38712 + 224055.49.\nAnswer: 185343.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert 5.181362um to kilometers.\nAnswer: 0.000000005181362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*z = 4*q + 134, -13589 = -3*q + 2*z - 13688 for q.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v = 5382 + -5383. Which is the nearest to 1\/66? (a) v (b) -2\/11 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3 = m, -12 + 3 = -v - 139*m + 74*m + 70*m for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = -12*a**3 + 41*a**2 + 83*a + 3. What is the remainder when 490 is divided by i(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 9 - 7*f - 9 + (30 + 26 - 7)*((f + 2 - 2)*(1 + 0 + 0) + (-2*f + 6*f - 5*f)*(-6 - 1 + 5)) to the form n*f + m and give n.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -4151513 - 35?\nAnswer: -4151552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -3\/4, 1, 5, -0.5, -104939.8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 136073 at most 136097?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c be -4*((-38)\/(-8) + -5). Is c greater than or equal to 44\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -72*q - 98*q - 2310 = -115*q for q.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z = -651 - -365. Let y = -171 - z. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 49432.\nAnswer: 2, 37, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-30)\/(-65) + (-150)\/(-13).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 704076 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = -22*w**3 + 143*w**2 - 403*w + 8. What is a(4)?\nAnswer: -724","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -1.5 times 684\nAnswer: -1026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 385 minutes after 9:13 AM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = a**3 + 7*a**2 + 4*a - 8. Let h be z(-6). Calculate the lowest common multiple of (44\/12 - h)\/((-2)\/12) and 15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from eebpppepbepe. Give prob of picking 1 b and 1 p.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) be the third derivative of -z**6\/120 - 29*z**5\/15 - 841*z**4\/6 - 773*z**2 + 4*z. Let p(n) = 0. Calculate n.\nAnswer: -58, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 189 - 478?\nAnswer: -289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) = -3*l. Let u(k) = 2*k**2 + 790*k - 8. Determine y(u(q)).\nAnswer: -6*q**2 - 2370*q + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -3752*z**3 - 3*z**2 + 46*z - 3759457 wrt z.\nAnswer: -11256*z**2 - 6*z + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 a and 1 q when two letters picked without replacement from aqquouuuoo?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -66 (b) 2\/21 (c) -7 (d) -1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 184*a = 181*a + 12. Put 0, a, -38 in increasing order.\nAnswer: -38, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -222320 to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = -i**2 - 7*i. Let n be k(-10). List the prime factors of ((-627)\/(-95))\/((-2)\/n).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = -22*n - 11. Let x(k) = 23*k + 11. Let o(l) = 6*g(l) + 5*x(l). Let m be o(-6). Let j = -85 + m. Solve -4*r + 10 = -j*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -9.1 - 7.3. Let u = 3.4 + b. Let i = u + 13.00000035. What is i rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = -t**3 + t**2 - t - 1. Let g = 48 + -27. Let u be 6\/g + 2\/(-7). Let m = 1 + u. Let n(q) = q**3 - 3*q**2 + 3*q + 3. Calculate m*n(a) + 3*z(a).\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 99 a factor of 990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-133)\/(-14)*(1 + 3). Suppose m = -m + o. What is the remainder when m is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + (3*(2 + sqrt(637) - sqrt(637)) - (sqrt(637) - (-3*(sqrt(637) + sqrt(637) + 6*sqrt(637)) - sqrt(637)) - sqrt(637)))**2 + 5.\nAnswer: -2100*sqrt(13) + 398168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -7*o + 22 + 27. Solve -5*u - 23 = 3*f, f + 24 - o = -4*u for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 4, 474758, 6\/17, -0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is next in 55, 51, 47, 43?\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 138443148 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = 0*b - 18 + 2*b + 0. Give j(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = -11*h**2 - 7*h - 7. Let u(x) = 5*x**2 + 3*x + 3. Let d(j) = -6*r(j) - 13*u(j). Let g be d(-3). Solve 4 = -g*l - l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 2 - -3. Suppose a*q - 2*q = -5*q. Let x(b) be the first derivative of b**3\/3 + b**2\/2 + 6. What is x(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-1 - 3 + 3 + (3 - 2 - 2)*(-8 + 5 - 30))*(-4*j - j**3 + 4*j) to the form s + g*j**2 + k*j**3 + x*j and give k.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f = -33 - -2. Let a = 16 - f. List the prime factors of a.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 93547657 to the power of 1\/3, to the nearest integer?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 304021672 to the nearest integer?\nAnswer: 672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 2 (base 11) to base 13\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.13 and -9777?\nAnswer: -1271.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: (-16)\/10*(-20)\/(-8)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) be the third derivative of t**8\/144 + t**7\/126 - t**6\/180 + 2*t**2 - 40*t. Solve s(j) = 0 for j.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -63\/80 and -69\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u be 274\/(-4384) + (-4069)\/(-1616). Is u >= 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 11 divide 1957013234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence fi when two letters picked without replacement from {i: 1, c: 16, f: 3}?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = -2*d**3 + 11*d**2 - 22*d + 33. Let h be i(6). Let q = 128 + h. Let o(m) = -m**2 - 6*m + 3. What is o(q)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -57 - -56.926. What is v rounded to two dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = 4*v**2 + 22*v + 91. Suppose 0 = c - 8 - 27. Calculate the remainder when u(-6) is divided by c.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2717, -10888, -24505, -43562, -68053, -97972, -133313?\nAnswer: -174070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -258002 divided by -2?\nAnswer: 129001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -114*n**3 + 4 + 95*n - 8 - 113*n + 0 wrt n?\nAnswer: -684*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 5*x**2 - 2*x**2 - 2*x**2 + 3*x**2 - 5*x + 5*x + x**2 + x**2 + 0*x**2 + (0*x - 3*x + x)*(-2*x - x + 5*x).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {m: 2, l: 2, n: 1}. Give prob of sequence lln.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 y and 1 k when two letters picked without replacement from yykdyyynudyuyyudd?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*x**3 - 11315*x**2 - 18694325*x - 6064187005.\nAnswer: 5*(x - 3449)*(x + 593)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-3)\/(-28)*98\/(-49)*(-3 + 5). Put 1\/3, -0.4, a, -4 in descending order.\nAnswer: 1\/3, -0.4, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 e and 1 f when two letters picked without replacement from fteee?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {f: 12, n: 6}. Give prob of picking 3 n and 1 f.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = -54*j - 3. Let z(r) = 27*r + 1. Give -3*o(t) - 7*z(t).\nAnswer: -27*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Does 696 divide 136445526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = -p**5 + p**3 - p**2 + p - 1. Let t(y) = 21*y**5 + 3*y**4 - 24*y**3 + 12*y**2 - 15*y + 21. Let v(k) = 18*j(k) + t(k). Factor v(n).\nAnswer: 3*(n - 1)**2*(n + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -14970759*u**2 - 3*u - 21408854?\nAnswer: -29941518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-5)\/(-15) + (-131)\/(-3). Suppose 3*j + 18 = 4*j. Let r = c - j. What is the highest common divisor of 13 and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 55870541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k = 68 - 78.7. Let j = -10 - k. Let f = -0.5 + j. Which is bigger: 0 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (0 + 0 - r**2 + r**2 - r**2 + r**2 + (-11*r + 24 - 24)*(r + 0*r + 0*r))*(-6*r + 3*r + 0*r) as v + a*r**2 + q*r**3 + n*r and give q.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) be the first derivative of -f**6\/1080 + f**4\/72 - 2*f**3\/3 + 5. Let r(m) be the third derivative of t(m). Factor r(l).\nAnswer: -(l - 1)*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -43\/20964 and 33\/145598.\nAnswer: 1526158236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1167920.\nAnswer: 2, 5, 13, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 13 or -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is (90\/(-27))\/((-2)\/3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i be (22 + -23 - (0 + 0))*1. Let w be (-5)\/(-35) - 111\/826. Do i and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -58\/55 - -171\/110. Factor 77\/4*d**2 + 7\/4*d - w + 17*d**3.\nAnswer: (d + 1)*(4*d + 1)*(17*d - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 53\/5 of a meter?\nAnswer: 1060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 1\/(-4) - 27863\/(-44) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 288 + -271. Suppose 2*r = 301 + 109. Suppose z*v + 35 - r = 0. What is the remainder when 19 is divided by v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h*h**(-8)\/h*h)\/h**(-17) assuming h is positive.\nAnswer: h**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q = -8.5 - -8. Sort q, -2, 2\/19.\nAnswer: -2, q, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 5.8 - 5. Let n = -0.5 + j. Let d = n + -0.4. Which is bigger: d or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -643 - 7603*r**2 + 7616*r**2 + 317 + 326.\nAnswer: 13*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 1326 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Express (-3*h - h + 8*h)*(35 + 31 - 22 - 3) as n*h + s and give n.\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:08 PM and 5:05 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express 0*h**2 + 0*h**2 + h**4 + (-21*h**3 + 20*h - 20*h)*(-2*h + 1 - 1) as q*h**3 + y + f*h**2 + m*h**4 + j*h and give m.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (6*j**4 + 13*j**2 + 5*j - 7*j - 15*j**2)*(1 + 1 + 0) + (4*j + j - 7*j)*(11*j**2 - 2*j**3 - 11*j**2).\nAnswer: 16*j**4 - 4*j**2 - 4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 6.09677 years?\nAnswer: 73.16124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -6 - (0 + -7 + 0)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = -m - 9. Let p be b(-7). Let j = 2.3 - 2.6. What is the third smallest value in p, j, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 5401878 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*(-1*(sqrt(432) + (3 + sqrt(432) + -4 - sqrt(432)))**2 + -4) + -2.\nAnswer: -72*sqrt(3) + 1309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i + 12 - 6 = 5*t, i - 3 = 0. Solve -5 = 4*y - 3*k, -2*y + 6*k - t*k = 1 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 454 minutes after 12:54 PM?\nAnswer: 8:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = 263*s**2 + 1979*s + 950. Give g(-7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0.1, 64, -1\/4, -5, -1\/10, -72, -3\/5?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 4 and 442?\nAnswer: 884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u\/(u**1\/u))**34\/((u**(3\/10)*u*u)\/u*u**6))\/(u**3\/(u\/(u\/u**(2\/3))*u*u)*u**4\/(u**(2\/7)*u)) assuming u is positive.\nAnswer: u**(4967\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -598, -1328, -2058, -2788, -3518, -4248?\nAnswer: -4978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b = -1.7 + 0.7. Let j = 0.07 - 3.07. Let l = 3 - 3.1. What is the closest to -1 in j, b, l?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c + 1416 = 2*q, 2*c - 5 + 3 = 0. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 540 rounded to the nearest 10?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s = 74.84 + -160.855. Let n = s + 86. Round n to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) be the third derivative of -5*o**4\/6 - 16927*o**2. Suppose -1 = -2*i - 3*k + 3, 2*i - 5*k + 12 = 0. Calculate c(i).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 34938, 34937, 34942, 34959, 34994, 35053, 35142, 35267?\nAnswer: 35434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l be ((-1950)\/(-4) + -8)*4\/7. Let a = 496 - l. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3131*t = 3130*t + u - 8 - 16, 193*t - 3*u = 118 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 16 + 442\/(-52) + 5 + (-474)\/(-12)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 1\/(-3) - 39\/(-91). Which is smaller: -1 or c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -104 or -106?\nAnswer: -104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2143189 is divided by 228.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 6\/(-10) + ((-426)\/(-1080) - 20\/(-80))\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 3015 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = p + 1. Let l(n) = -5 + 0 + 0*n + 6 + n. Give 2*l(h) - 3*s(h).\nAnswer: -h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort -381\/2, -0.224, -1\/20 in ascending order.\nAnswer: -381\/2, -0.224, -1\/20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k*k**(3\/5))**1 assuming k is positive.\nAnswer: k**(8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 38898?\nAnswer: 2, 3, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -20*o + 52 + 11*o - 52 + 4*o.\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 54243 and 39114?\nAnswer: 5749758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = -4*z. Let n(s) = -2*s**2 + 15399*s - 5. Determine f(n(j)).\nAnswer: 8*j**2 - 61596*j + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 h and 2 w when three letters picked without replacement from {w: 4, h: 3}.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h = -16 - -16.4. Let p = 18127\/4 + -4507. Let y = 25 - p. Sort h, y, -0.5 in descending order.\nAnswer: h, y, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 133860.\nAnswer: 2, 3, 5, 23, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 32330312 - -10400?\nAnswer: 32341212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -36*f - 4*f**2 - 5*f - 5 + f**2 + 6 - 10*f**3 wrt f?\nAnswer: -60*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1109 or 1108?\nAnswer: 1108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g = -12.56 - -12.51. What is the nearest to g in 0.5, 2.3, -2\/3, -6\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 3 + 3)*(-7 + 7*g + 7).\nAnswer: 14*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = -6*g - 49. Let h be 1\/2 + (-174)\/12. Let z be o(h). Suppose -2*q = 3*j - 159, 2*q = -2*j + z + 71. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 8082385 is divided by 495?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) -62.5 (b) -5 (c) -36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -173*g**4*m + 200*g**2*m**3 - 2895*m**3 - 28*m wrt g?\nAnswer: -692*g**3*m + 400*g*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4 + -3 + sqrt(605) + 0)**2.\nAnswer: -154*sqrt(5) + 654","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = 2*r - 3*f, -5*f + 3 = -5*r - 2*f. Solve 0 = -2*m + 3*d - 7, r*d = -3*m + 3*d - 6 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(1008) - (sqrt(112) - (sqrt(112) + -3))**2.\nAnswer: -9 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*l - s - 33 = 68, 0 = -4*l + 2*s + 106. What is the units digit of (9\/(-2)*1)\/((-18)\/l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-650)\/2574 + 2\/(-18))\/(-8). Which is the nearest to 3? (a) -1\/18 (b) t (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -1229*m*r + 38*m - 255235*r + 1 wrt m?\nAnswer: -1229*r + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in three quarters of a micrometer?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 408939289?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:02 AM and 3:22 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) be the second derivative of k**6\/150 - k**5\/20 + 3*k**4\/20 - 7*k**3\/30 + k**2\/5 + 4*k. Determine t, given that g(t) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (((-4)\/6)\/2)\/((-1)\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 90*i + 0*w + 2*w = 107*i + 14, 12*w = -6*i + 10*w - 78 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = b**3 - 26*b**2 - 320*b - 444. Give y(-8).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = -9*p - 2. Let c(k) = -10*k - 2. Let f(h) = 5*c(h) - 6*m(h). Give f(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 12 and 62844?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 55.515 plus -1.737?\nAnswer: 53.778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.19 + -0.21. Which is the second smallest value? (a) 3\/5 (b) 0.3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = -2*n**3 - 18*n**2 + 33*n - 124. Let a be b(-11). Let y(m) = -39*m**2 - 2*m + 1. Let r(s) = -38*s**2 - 3*s + 2. Determine a*y(c) + 2*r(c).\nAnswer: 41*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate 14\/(-3)*78\/(-65)*95\/38.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*l - 314*q + 635*q = 320*q + 8, 4*l = 6*q for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in sixty-seven quarters of a century?\nAnswer: 1675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 z and 1 h when two letters picked without replacement from {z: 3, h: 2}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 0.05819239 rounded to four dps?\nAnswer: 0.0582","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 231 minutes after 11:47 AM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 479.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4\/(-46) + ((-412)\/23 + -14 - -9)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = -4*t - 5. Suppose 4*m + k - 22 = -m, -5*m + 37 = -4*k. What is g(m)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 925 is divided by 227?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = -o**3 + 3*o**2 + 5*o + 0 - 1 + o. What are the prime factors of z(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from lllvvcllcvllc. What is prob of picking 1 v, 1 l, and 1 c?\nAnswer: 63\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {p: 4, w: 7, g: 1, e: 5, a: 2, s: 1}. Give prob of picking 1 p and 1 a.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 324 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange d + 3*d**4 + 4*d**3 + 2 - 5*d**4 - 17*d**2 + 29*d**2 - 16*d**2 to the form q + c*d**4 + j*d + z*d**3 + y*d**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 35 = 52*v + 35. Solve v = 9*a + 20*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*c**3 - 150*c**2 - 1428*c - 1280.\nAnswer: -2*(c + 1)*(c + 10)*(c + 64)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = -1. Let u be 0 - 2\/(4\/(-10)). Let v(r) be the third derivative of -1\/30*r**5 + 0 + 1\/2*r**3 + 0*r - 3*r**2 + 1\/12*r**4. Determine u*b(w) + v(w).\nAnswer: -2*w**2 + 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {d: 1, u: 3, o: 4}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = m**3 - 17*m**2 + 21*m - 69. Let w be y(16). Let u(j) = 2*j + 20*j**2 - j**3 - 11*j**2 - w*j**2 + j - 1. Calculate u(3).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + (((sqrt(11) + 1)*-6 - (sqrt(44) + sqrt(11) + 0))*2)**2 + 1.\nAnswer: 432*sqrt(11) + 3709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 35683 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k + 1 = -1. Suppose -5*l + 580 = -10*l - 4*z, 2*l + 255 = 3*z. Let i = -120 - l. Put i, -4, k in increasing order.\nAnswer: -4, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00114508 to 4 dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -7 (b) -21\/2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.053 * -0.01.\nAnswer: -0.00053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**(2\/9)*p*p\/(p\/(p**(1\/7)\/p)))\/(p**(1\/5)*p*p*(p*p**10\/p)\/p) assuming p is positive.\nAnswer: p**(-3413\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in sixty-four fifths of a kilogram?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4*r**3 + r**3 - 2*r**3 + r + 15 - 13 - 2*r**2 to u + g*r**3 + c*r**2 + n*r and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 13\/1548 and -127\/11396?\nAnswer: 4410252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = 3*n. Let u(g) be the second derivative of -g**3\/3 + 53*g**2\/2 + 3*g + 7. Give z(u(p)).\nAnswer: -6*p + 159","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z + 3*a = 39, 0*a = 3*z - 2*a - 24. Let q be (-5 + -3)\/((-4)\/6). Suppose 2*x - q = z. Calculate the remainder when x is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 143, 5, 1\/4, -1\/6?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1258 is divided by 272.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -729052, -1458107, -2187162?\n\"Answer: -729055*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 18\/(-4)*(-132)\/1485*(-5)\/(-10).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -113, -6, 79 in decreasing order.\nAnswer: 79, -6, -113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = -9*r**2 + 84*r - 100. What is f(8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1853389?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {z: 4, u: 3, o: 1}. What is prob of picking 2 u and 1 o?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(30) + (sqrt(90)*2 + sqrt(90) + sqrt(90))\/sqrt(3))\/(sqrt(6) - (sqrt(6) - (sqrt(6) + sqrt(54)))*4).\nAnswer: 5*sqrt(5)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-5)\/((-80)\/4)*-4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1100433, -1100441, -1100453, -1100469, -1100489?\nAnswer: -1100513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -3 - (-6 + (-2 - (4 + -9)) + 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -55111312 (base 6) to base 7\nAnswer: -16650143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2579, 5193, 7837, 10517, 13239?\nAnswer: 16009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j be 4\/5*1*-5. Let k(d) = 3*d**2 + 20*d + 2. Suppose 0 = 4*p + 6 + 26. Let q(g) = g**2 + 7*g + 1. Let t(r) = p*q(r) + 3*k(r). Determine t(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -97598*a**4 + a**2 + a - 35558?\nAnswer: -2342352*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s = -16 + 50. Calculate the greatest common factor of 306 and s.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4\/16*1 - (-12)\/16.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Factor 14*q**3\/11 + 10*q**2\/11 - 32*q\/11 + 8\/11.\nAnswer: 2*(q - 1)*(q + 2)*(7*q - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4317 is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Work out 2.8 - -30748388.\nAnswer: 30748390.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Multiply -377 and -3543609.\nAnswer: 1335940593","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.1, -0.2, 1\/3, -0.11 in ascending order.\nAnswer: -0.2, -0.11, -0.1, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 22627 and 12818?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} {"text":"Question: Let b = -29215 - -54813. List the prime factors of b.\nAnswer: 2, 12799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 109 - 154. Calculate the remainder when (-10)\/40 + 22\/(-8) - x is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -2\/3 (b) 1012 (c) 0.3 (d) -4 (e) 8\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 4526 or 2\/1539?\nAnswer: 2\/1539","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r + 4*w + 54857 = 5*w, r - 4*w = 10963. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3201 rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = d. Let k(a) = 245*a. Calculate k(m(w)).\nAnswer: 245*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x = 4.592332 + 0.30771. Let t = 68.1 - 73. Let n = x + t. What is n rounded to 6 dps?\nAnswer: 0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v - 11 + 1 = -4*y, -v = 4*y - 14. Suppose b = -v*b + 75. Suppose b = -5*t - 5*l, -2*t - 2 = -2*l - 0. Is t at most as big as -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -496 + 875. Suppose 4*c = 0, -4*t + a + 321 = c. Calculate the remainder when t is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1541 divided by 4.\nAnswer: -1541\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 5 less than 0.736?\nAnswer: -4.264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is -483056 less than or equal to -483050?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w be (21\/35)\/((-39)\/52 - 123\/(-100)). Factor -11\/4*y**2 - 1\/4*y**4 - 7\/4*y**3 - w*y + 0.\nAnswer: -y*(y + 1)**2*(y + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) = -m. Let p(u) = -3 + 36 + 106*u + 84*u + 22. Let w(l) = 7*l + 2. Let o(b) = -2*p(b) + 55*w(b). Calculate t(o(k)).\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-96)\/42 + 2\/7 + -2. Which is bigger: x or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 69\/35 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o = 1083 - 450. Let z = o + -6343\/10. Find the common denominator of z and 5\/7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*z - 28*z**3 - 30*z**3 + 15*z + 11*z**3 + 4*z**3.\nAnswer: -43*z**3 + 19*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -46 divided by 14764\nAnswer: -23\/7382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n be -1*-2*(-3)\/6. Is -12 less than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 16\/2 + 20\/(-5). Let u(r) be the second derivative of -r**3\/6 + 3*r**2 - 52*r. Let t be u(p). Solve 0*i = t*i - 4 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) be the first derivative of 313*b**2\/2 + 2425. Let k(w) = -19*w + 19*w - 2*w**2. Determine k(d(j)).\nAnswer: -195938*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 12933 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.2 and 204.\nAnswer: 40.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is next in 268, 448, 628, 808?\nAnswer: 988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2684403?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = -u**2 + 20*u + 24. Let k be t(21). Solve -3*x = -5*x - 2*h + 2, 5*x - k*h + 11 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5143*y + 434562 = -1155*y for y.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z = 134 - 79. Let l = -22732 - -24107. Calculate the greatest common divisor of l and z.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = 5*j - 31. Let t be f(11). Suppose -t = 8*k - 32. What is the third biggest value in 2\/5, k, 2\/19, -39?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*d + 2*o + 10 = -2*d, -4*d + o - 1 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q be (2\/1)\/(2\/1). Suppose -3 = -3*t + 6*t. Let u be 4\/(-252)*-39 - t\/(-3). Which is the biggest value? (a) q (b) u (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find j, given that -j**4\/4 - 2265*j**3\/2 + 182801*j**2\/4 + 2265*j\/2 - 45700 = 0.\nAnswer: -4570, -1, 1, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -112010202110020 (base 3) to base 11\nAnswer: -4272530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from uomouukuau. What is prob of picking 2 u and 1 k?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p = 2 + 3. Calculate the remainder when ((-9)\/(-7) - 1) + 6424\/154 is divided by p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) = 3*u. Let y(s) = 321*s**2. Determine y(f(j)).\nAnswer: 2889*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = -6*u**2. Let q(a) be the third derivative of a**5\/30 - 16*a**2. Calculate g(q(l)).\nAnswer: -24*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) -7.7 (b) 27 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 216*h + 247 = 235*h. Solve 41 + 11 = h*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 39\/7888 and 41\/406?\nAnswer: 55216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Subtract -0.25 from -134299971.\nAnswer: -134299970.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = -f**2 - 16*f. Let c(g) be the second derivative of -g**3\/2 + 3*g + 16. What is u(c(n))?\nAnswer: -9*n**2 + 48*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 381 is divided by 118?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 32901586 and 1534?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 90100 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -2 + 1302330?\nAnswer: 1302322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p be 15 + (-2)\/2 + 0. Suppose 0 = 5*i + y - p, 2*y = -5*i + 5*y + 18. Let j be i + -1 - (-2)\/1. Calculate the greatest common factor of 1 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10162788109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 0.2 * -0.8\nAnswer: -0.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in -2\/17, 0, -0.3, -24?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -1\/5 (b) 3\/2 (c) -4 (d) 118\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 183 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 10 - (-10)\/2970*-2991 and 58\/99?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.047 - 38.953. Let m = t - -38.7. Which is the third smallest value? (a) -1 (b) 1\/4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 0\/(-2) + 1 + (-12)\/(-3). Suppose -y*d + d = -304. What are the prime factors of d?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8115 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: Suppose -8 = -6*c + 2*c, 5*r - 3*c - 911999994 = 0. Round r to the nearest 1000000.\nAnswer: 182000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20 = -4*i - 4*p + 8, -2*p = -10. Solve -6*m = -i*m + 20 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 9827\/3 (b) -0.5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1101010100 + 1101100?\nAnswer: 1111000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z + 5866 = -2*f, 5*f + 4438 = 3*z - 1425. Let o = z + -1956. Solve -2\/7*u**2 + 2\/7 + o*u = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 11335343 is divided by 37165.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 1.7 less than 33561?\nAnswer: 33559.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 135.899843021 less than 0.172?\nAnswer: -135.727843021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -54 + -34101143?\nAnswer: -34101241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1926 = -9*d - 4599. Let o = -75 - d. Let m be (-5*(-4)\/o)\/((-4)\/(-20)). Sort 2\/5, m, 3.\nAnswer: m, 2\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -569501.122 - -46636?\nAnswer: -522865.122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*h**4 + 1930*h**3 - 5778*h**2 + 5774*h - 1924 = 0 for h.\nAnswer: 1, 962","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:29 PM and 1:09 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence yi when two letters picked without replacement from yyigxzyy.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 1 (b) 5 (c) 90\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*l - 174 = -158 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 91117003 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*r + 102 = 150. Let a be (1 - (-8)\/r)\/(2\/8). Suppose 1016 = 5*u + i, -a*u + 5*i - 179 = -580. What are the prime factors of u?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) be the third derivative of 47*m**4\/4 + 31*m**3 + 364*m**2. Find the first derivative of z(p) wrt p.\nAnswer: 282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + -2 + 1*(sqrt(108) + (1 + sqrt(108))**2) - (((sqrt(99)*2)\/sqrt(3))\/sqrt(11) - (3*(sqrt(3) + 1 + sqrt(3)) + -5*(2*sqrt(3) + sqrt(3))))**2.\nAnswer: -270 + 84*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Divide 123 by -152.\nAnswer: -123\/152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 7296*t = 7356*t - 2220 for t.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -3 - 214116126?\nAnswer: -214116132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is next in 30, 114, 254, 450, 702?\nAnswer: 1010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l = -1756.9 - -1756.89. Put l, -0.1, 1.4, -0.3 in descending order.\nAnswer: 1.4, l, -0.1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) be the first derivative of -m**3\/12 + 57*m**2\/4 - 3249*m\/4 + 1092. Factor n(k).\nAnswer: -(k - 57)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 42505 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 2 (b) -10 (c) 4 (d) 6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*q**3 - 445*q**2 - 11495*q - 92055.\nAnswer: -5*(q + 19)**2*(q + 51)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r = -8 - 17. Suppose -20 = -r*s + t - 6, 5*s + 2*t = 2. Find the third derivative of -4*u**2 + 8*u**3 + 3*u**s - 3*u**2 wrt u.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2347045 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 61938191?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*m + 4*t, 518*t = -4*m + 522*t. Which is greater: m or 2\/5271?\nAnswer: 2\/5271","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 3 in 5, 13, 0.26, -1\/26, 1\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand -h + h + h**2 + (1 + 0 + 1)*(2*h**2 - 3*h**2 + 3*h**2) + 5*h**2 - 39*h + 39*h.\nAnswer: 10*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 12*m**3 + 6*m**3 + 4*m**3 - 21*m**3.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-2 - 18)\/(-283 + 279). Let u(r) be the second derivative of 19*r + 0*r**3 + 0*r**4 + 18*r**2 + 0 - 4\/5*r**d. Differentiate u(f) wrt f.\nAnswer: -48*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from quqquuuuquqquqquuqu. What is prob of picking 1 q and 2 u?\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 1303834 to the power of 1\/3, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 5728939 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) be the second derivative of -9*k**2 + 15\/16*k**4 - 89\/4*k**3 + 34*k + 0. Factor t(f).\nAnswer: 3*(f - 12)*(15*f + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 257 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 29700 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 2402508 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from qssgg. What is prob of sequence sqgg?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = n**3 + 1. Let s(j) = 84*j**3 + 77. Give -154*c(h) + 2*s(h).\nAnswer: 14*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*n + 3*j + 176 = 0, 6*n - 3*j - 44 = 5*n. What is the greatest common divisor of 242 and n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -863*r**2 + 338*r**2 + 331*r**2 + 218*r**2.\nAnswer: 24*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s be 654\/9 - (477\/(-81) + 6)*-3. Solve s = 16*p + 185 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-9)\/((-972)\/9156) + 4\/18. Suppose 71*g = i*g - 56. Let k(v) = v. Let l(y) = -12*y - 1. What is g*k(h) + l(h)?\nAnswer: -8*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of x**4 - 51361*x**3 - 120325*x**2 wrt x?\nAnswer: 24*x - 308166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 1\/2, 48, -426 in increasing order.\nAnswer: -426, 1\/2, 3, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 1255291108400 take away 29?\nAnswer: 1255291108371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -258 = 5*g - 283. Suppose y + 1095 = g*n - 845, 4*y = -2*n + 776. List the prime factors of n.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = -128*k**2. Let q(b) be the third derivative of 23*b**5\/60 - b**2 - 186*b - 2. What is m(q(v))?\nAnswer: -67712*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 27304251 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 4\/61 or 6875?\nAnswer: 4\/61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 285, 2\/45 in descending order.\nAnswer: 285, 2\/45, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.1 and 208898515.\nAnswer: -20889851.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000134275 rounded to 5 decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000004296 rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (5 + 5 - 5)*(147 - 147 - 20*f)*(-2 + 3*f**2 - 4*f**2 + 2*f**4 + 0 + (1 - 4 + 2)*(f**4 - 2*f**4 - f**4)).\nAnswer: -400*f**5 + 100*f**3 + 200*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -48? (a) -0.3 (b) 29 (c) -1.35 (d) -0.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 73\/105870 and 151\/19310688.\nAnswer: 96553440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = d**3 + 13*d**2 - 31*d - 21. Let o be u(-15). List the prime factors of 409\/(-4*o\/24).\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in seven thirds of a year?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (-109)\/((-218)\/(-2145))*(-10)\/3 is divided by 3549?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = -1871*a + 13541. Calculate w(7).\nAnswer: 444","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i**(-1))**38*i**(-2\/5)*i**(-7)*i)\/(i**(3\/2)\/i*i*i**6*(i**0)**(-3\/2)) assuming i is positive.\nAnswer: i**(-519\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = d**3 + 3*d**2 - d + 2. Let h be n(-3). What is the second derivative of w**5 - 1 + w**h + w + 1 wrt w?\nAnswer: 40*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 + -1 + -2 + 5 + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -107*k**2*s - 18*k*s - k - 7920*s wrt k.\nAnswer: -214*k*s - 18*s - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor -1\/2*h**5 - 3*h**3 + 2*h**2 + 2*h**4 + 0 - 1\/2*h.\nAnswer: -h*(h - 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 156 + -154. Solve 0 = 4*v - 5*g - 4, m*v = g + g for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 7022?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = a**3 - 10*a**2 - 24*a + 2. Let q be l(12). Factor 2\/5*f + 0 + 4\/5*f**3 + 6\/5*f**q.\nAnswer: 2*f*(f + 1)*(2*f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {m: 1, z: 1, r: 2, f: 2, p: 1, b: 1}. Give prob of sequence prf.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = n + 5*i - 33, -2*n - 1 = -5*i - 7. Find the third derivative of 35*y**3 + 3*y**5 + 167*y**2 + 4*y**5 - n*y**3 - 22*y**3 wrt y.\nAnswer: 420*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -5590 - 21*z**2 + 5590 + (4 - 3 - 3)*(-z**2 - z**2 + z**2) + z**2 + z**2 - z - 3*z.\nAnswer: -17*z**2 - 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 90 and 1530?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 182839934?\nAnswer: 2, 587, 155741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7 = j - 1. Let s be (-80)\/50*(-10)\/4. Suppose -j*q = -s*q. Which is smaller: 2 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 45925345?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1928 is divided by 129?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = 9*p + 1. Let c(l) = 3*l. Let m be c(-1). Let k be (-24)\/(-2)*m\/6. Let n(j) = 17*j + 2. Determine k*n(g) + 11*u(g).\nAnswer: -3*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 290694.\nAnswer: 2, 3, 48449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ttt when three letters picked without replacement from {t: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f = -2480.5 - -2482. Which is smaller: 3 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 100125 and 367515?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = 1007*x + 8377. Give o(-8).\nAnswer: 321","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*h - 21*h = -3237684 - 816217. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 30621552979 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -3, 4\/3, -3\/7, -5, -295\/14, 5?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = 3*a - 69. Let t be p(23). Suppose 2*f - 525 = 6*z - z, t = -2*f - 5*z + 495. What are the prime factors of f?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = g**2 + g - 1. Let b(n) = n**3 + 5*n**2 - 7*n - 8. Let d be b(-6). Let h(v) = 4*v**2 + 5*v - 1. Calculate d*t(s) + h(s).\nAnswer: 2*s**2 + 3*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (17 + 233*y - 17)*(-3*y**2 + y**2 + y**2 + (-4 + 2 + 1)*(2*y**2 + 0*y**2 - y**2) - 2*y**2 - y**2 + 2*y**2).\nAnswer: -699*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Are 1635 and 1583 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = 2*m**2 + 78*m. Let h(u) be the third derivative of -u**5\/60 - 28*u**3\/3 + 7*u**2 + 177*u. Give f(h(o)).\nAnswer: 2*o**4 + 146*o**2 + 1904","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 44 divided by 1438\nAnswer: 22\/719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k - 12 = -8. Let b(h) = h**2 + 1 - 3*h - 5*h + k*h. Give b(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -12, 4, -4, -1 in decreasing order.\nAnswer: 4, -1, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express (2*l**2 - 2*l**2 - 3*l**2)*((-5 - 1 + 2)*(-2 - 1 + 2) - 1 - 4 + 3) in the form k + g*l**2 + q*l and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 2 + -8?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Does 99 divide 1683792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = o**3 - 2*o**2 - 28. Let w be -1 + (3\/(-33))\/((-4)\/44). What is z(w)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 86.415 to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r - 16 = 0, 0 = 285*s - 281*s + 3*r - 179444. What are the prime factors of s?\nAnswer: 2, 11, 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:38 AM and 4:23 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = u**2 - 5. Let v(q) = -2*q + 14. Let m be v(9). Let y be l(m). Suppose 3*c + 5 = y. Calculate the remainder when 8 is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7*i + i**2 + 41*i**2 - 25*i.\nAnswer: 42*i**2 - 18*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = 10 - 7*h - 13 + 2*h. Suppose -2*l + 0*l - 8 = 0. Let g be n(l). Solve 5*q + m + 25 = -2*m, 4*q - 5*m - g = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0*y - 6*y + 16*y**2 - y**3 + 6*y to the form w + o*y**2 + j*y**3 + k*y and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 795994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is (36\/(-45))\/(6\/(-15)*-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 209, -89 in increasing order.\nAnswer: -89, 3, 209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 403463111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1 - (-6 + (12 - 2 - 5) - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -35*a = 4*w - 30*a + 4, -a + 2 = -2*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 4205837.8 rounded to the nearest one thousand?\nAnswer: 4206000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1\/((-19)\/((-114)\/(-20)))*8\/24.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 1370947 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round 245841 to the nearest ten thousand.\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 2*m**6 - 7*m**4 + 440*m**3 - 12633*m**2 wrt m.\nAnswer: 240*m**3 - 168*m + 2640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i be (5*-5)\/((-42)\/(-276)). Let g = i + 164. Suppose -5*w = -2*w + 5*k + 17, w = -k - 5. Sort w, -5, g.\nAnswer: -5, w, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -96*v + 704 + 130 = -318 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2 - 35\/28)*(-4)\/(-12)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*f + 45 = 4*j, -102*f - 5*j = -97*f - 50 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let c = 15 - -19. Let q = c + -30. Solve -q*i = i - 20 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 5 + (1058\/(-24) - 81\/(-972)). Sort 4, -1, p.\nAnswer: p, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -11? (a) -53\/6 (b) 3 (c) 124 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 20, -64, -196, -370, -580, -820, -1084, -1366?\n\"Answer: v**3 - 30*v**2 - v + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = -132*b**5 + 2*b**4 - 11*b + 1. Let r(t) = -395*t**5 + 7*t**4 - 32*t + 2. Let c(w) = -7*i(w) + 2*r(w). Find the second derivative of c(x) wrt x.\nAnswer: 2680*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -44.6 and -1554.11?\nAnswer: 1509.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/2 in -4, 22, -4\/14131, -3?\nAnswer: -4\/14131","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 1604977 a multiple of 649?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*u - 2*z - 2 = -0*z, 5*u - z = 1. Put u, -3, 4 in increasing order.\nAnswer: -3, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + ((((sqrt(68)*-3 - sqrt(68) - sqrt(68)) + sqrt(68))*-5 - sqrt(68)) + sqrt(68) + -1*sqrt(68)*4)\/(sqrt(256)*-3 - sqrt(36)*3))**2.\nAnswer: -160*sqrt(17)\/33 + 31577\/1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*q + 39 - 9. Let w(i) = 2*i - 1 - 3*i - 10*i**3 + 2*i**3 + 3*i - 7. Let s(k) = 7*k**3 - 2*k + 7. Determine q*w(c) - 7*s(c).\nAnswer: -c**3 + 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 216857 = 25*z - 98168. What is the ten thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 397 - 201. Is 14 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5725*i**3 - 16370*i**3 + 1 - 1.\nAnswer: -22095*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k = 5423\/3 + -1825. Find the common denominator of 762\/576*8 + 3\/(-12) and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be -4 + (-28)\/(-1) - 20\/4. Let m be 1\/3 + 82\/6. Let z = c - m. Solve -z*v = 3*w + 12, 2*v - 1 = w + 3 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = f**2 - 20*f - 97. Determine h(24).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -8809, -17675, -26527, -35359, -44165, -52939?\n\"Answer: v**3 + v**2 - 8876*v + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d be 10\/(4 - 2) - 0. Suppose 0*c + d*q = -2*c + 3017, -5*c - q = -7600. Suppose c + 1433 = 2*u. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-4)\/(24\/2)*45\/(-590). Let w = z - -203\/1298. Factor -2\/11*r**3 + 0*r + 2\/11*r**4 - w*r**2 + 0 + 2\/11*r**5.\nAnswer: 2*r**2*(r - 1)*(r + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -32 (base 4) in base 3?\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -828472 = 187*t - 831838 for t.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a = 16 + -11.8. Round a to 0 dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = 34*a**6 + 5*a**5 + 29*a**2 - 5. Let w(z) = 51*z**6 + 7*z**5 + 43*z**2 - 7. Let r(u) = 7*p(u) - 5*w(u). What is the third derivative of r(h) wrt h?\nAnswer: -2040*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 67243773*o**3 - 33621872*o**3 - 33621912*o**3.\nAnswer: -11*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 13145382 and 108.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*w - 9 + 1 = 0. Let p(b) = -6 + 1 + 1 + w*b. List the prime factors of p(8).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 741*w**2\/4 + 61509*w\/4 + 249\/2.\nAnswer: 3*(w + 83)*(247*w + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:56 AM and 12:30 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = -902*k + 895. Determine x(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 6.968636 millilitres in litres?\nAnswer: 0.006968636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 38123 is divided by 371.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -30*d + d**2 + 30*d - 246 + 246.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w = -1.4042 + 1.4. What is w rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -118 = 42*j + 218 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u**5\/7 - 7844*u**4\/7 - 7852*u**3\/7 + 23528*u**2\/7 + 39226*u\/7 + 15692\/7 = 0. Calculate u.\nAnswer: -1, 2, 3923","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t = 358 - 946. Let d = 547.8 + t. What is d rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 26688 and 5027520?\nAnswer: 698825280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -21*o - 10 = -26*o. Suppose -24 = -4*a - j, 4*j - 12 = -o*a - j. Let w(p) = 2*p + 13. Let v(r) = 6*r + 38. Let d(m) = a*v(m) - 17*w(m). Calculate d(5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = 27*j - 26*j. Let b be 3\/(-15) + j\/(-5). Let w(i) = -i - 11. Calculate w(b).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 34 a factor of 2107525462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -68 + 18 = -5*u. Suppose -6*v + u*v = 56. What is the remainder when 37 is divided by v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 10780\/550 + (-2)\/(-5). Let q(v) = v - 36. What is q(c)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 15925079 to the power of 1\/3, to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -0.11229 + -3828?\nAnswer: -3828.11229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6703.846 + -0.2.\nAnswer: -6704.046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1186 and 476393666?\nAnswer: 1186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-27)\/6)\/((-4)\/(-712)). Let a be h\/(-18) - (-2)\/(-4). Suppose a = 3*i - 3*o - 37, 2*i - 5*o = 69. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (-16)\/(-12)*(55 - (5 - 4)) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*r + 1 - 4*r + 0*r - r**2)*(-621 - 8*r + 621) to the form y*r**2 + n*r**3 + p + t*r and give t.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) be the third derivative of w**4\/8 - w**3\/6 - 7*w**2. Let y(q) = -2*q + 1. Let c(x) = 5*t(x) + 4*y(x). What is the first derivative of c(b) wrt b?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 50\/700*(-42)\/3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -53 - 2281bdc?\nAnswer: -2281c51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -7678.67127 rounded to the nearest one hundred?\nAnswer: -7700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00007517833 to seven dps.\nAnswer: 0.0000752","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 5 + (8 - 13 - -12)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -51033\/13231 or -4?\nAnswer: -51033\/13231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 310209444?\nAnswer: 2, 3, 41, 210169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 418846432?\nAnswer: 2, 241, 54311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in seventeen quarters of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 86.33057 millilitres to litres.\nAnswer: 0.08633057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v = -638424.8 - -638425. Suppose -3*u + 4 = 4*m, -4*u - 4 = -4*m + 7*m. Let s be (1\/u)\/(3\/(-4)). Which is the nearest to 0.1? (a) 0.1 (b) s (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -122000 + -222?\nAnswer: -122222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 2270201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + 3 + -2*sqrt(700) - (sqrt(567) + -1 + sqrt(567) + sqrt(567))**2*2*2.\nAnswer: -20411 + 196*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -o = -5*k - 32, -8183*o + 38 = -2*k - 8179*o for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = 7*b + 86. Let v be l(-11). Solve -5*s - v = -8*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose g = 221 - 17. Calculate the remainder when g is divided by 53.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 22973?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a = 2633131 - 1250131. What is a rounded to the nearest 100000?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -83\/666 and -47\/198.\nAnswer: 7326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2177 + -2172 + (2 - (-3 + 3) - 70 - 1).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 6 a factor of 210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 2 - 2)*(-9083*y**2 + 9083*y**2 - 9160*y**4).\nAnswer: 18320*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i = 24776791\/238 - 104104. Find the common denominator of 1\/20 and i.\nAnswer: 2380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 208134557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} {"text":"Question: Simplify (o**(2\/5)\/o)\/((o\/(o\/(o\/(o*o**(-6\/5)))))\/o)*o**(-5)\/((o*o**(-4)*o*o)\/o)*((o**(-3)*o)\/(o**(1\/8)*o))\/(o**0*o*o*(o\/(o**1*o))\/o) assuming o is positive.\nAnswer: o**(-277\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 8\/1545599 or 1?\nAnswer: 8\/1545599","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Product of 14 and 5.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i = -66 + 65. Let l(w) = w**3 + w**2 + w - 1. Let k(u) = 5*u**3 + 2*u**2 + 3*u - 2. Calculate i*k(t) + 2*l(t).\nAnswer: -3*t**3 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) be the second derivative of -z**5\/20 + z**4\/6 + z**3\/2 + 3*z**2\/2 - 3*z. Let v be l(3). Solve -20 = 4*u - 4*g, 0*g = -v*g for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 1 - 1 - 9*b + 12*b to the form s*b + l and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c = 612 - 611. Let t be (c\/(-2))\/(14\/(-840)). Solve 7*n + t = n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.2 - -0.7. Let i = 12 + -11. Let n = -1.1 + i. Which is the second smallest value? (a) n (b) t (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 569?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3 + (1 - (-8 - -4) - 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 4 + 77?\nAnswer: 7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 138174, 138178, 138186, 138198, 138214?\nAnswer: 138234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1281?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 4421652901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.81 * 2.256.\nAnswer: 1.82736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 2174 times 6377\nAnswer: 13863598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -85033991\/29 or -2932208?\nAnswer: -85033991\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 4883440.59 seconds in weeks?\nAnswer: 8.074471875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = -61.975 + 62. Let f = 0.075 + n. Let p = 3 + -7. Which is the biggest value? (a) f (b) p (c) 2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*j + j + 5*n = 23, 31 = 5*j - 3*n for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 255 - -36031?\nAnswer: 36316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort 17\/20, 5, 243, 0.2, 0.001.\nAnswer: 0.001, 0.2, 17\/20, 5, 243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m**20*(m*m**(5\/3))\/m)\/(m**9)**22)**33 assuming m is positive.\nAnswer: m**(-5819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 3934992 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -42114041 (base 6) in base 14?\nAnswer: -23b9c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 360382853.\nAnswer: 643, 560471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -5 = 3*p - w, 20*p - 21*p = -2*w - 5 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-7 - (-4)\/4)*-16. Let o = v - 3937\/41. Which is smaller: 1\/2 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 636218 - 296218. Round h to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1096628307 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -28 + 38 = 5*i. What is the derivative of 77*m**2 + 123*m**2 - 77 - 37*m**i wrt m?\nAnswer: 326*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -10 = 4*c - 154*d + 156*d, 5*c - 3*d + 40 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m = -13341698 - -7243998. Round m to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 575 is divided by 64.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 1954882427 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -51.7, 1, -2\/49?\nAnswer: -51.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u = -2*j - 12, 16 = -j - 3*j + 2*u. Which is smaller: -2\/3 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -5*c**4 + 2060*c**3 - 4100*c**2 = 0. Calculate c.\nAnswer: 0, 2, 410","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 12645*i**3 + 3172*i**3 - 1257*i**3.\nAnswer: 14560*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand 29 + 4*b**2 - 29 + 3*b - 3*b - b**2 + (-13*b**2 + 13*b**2 - 22*b**2)*(2 - 4 + 0) + (b + 2*b - b)*(-1 - b + 1) + b - b - 2*b**2.\nAnswer: 43*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s = -64.9 + 64.9. Let f = 1 + 4. Which is the closest to s? (a) f (b) -3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) be the second derivative of b**8\/28 + 91*b**6\/15 + 1807*b**4\/12 - 1245*b. What is the third derivative of a(x) wrt x?\nAnswer: 240*x**3 + 4368*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = -52*w + 14. Let a be h(9). Let r = a + 935. Is r a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (16*p + 12*p - 2*p**3 - 14*p)*(4*p - 6*p + 4*p).\nAnswer: -4*p**4 + 28*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 814608787 to the nearest integer?\nAnswer: 28541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 2607 and 642258782?\nAnswer: 869","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a = -233 + 239. Let n be (1\/(a\/160))\/(4\/(-438)). Round n to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) be the first derivative of -1040*r**3\/3 + 1398*r + 1096. What is the first derivative of o(z) wrt z?\nAnswer: -2080*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2 a factor of 7 - (-4 - -4 - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in 0, -1.2, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1525653?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y = -4*y - 70. Let b be 102\/14 - (-10)\/y. Solve -b - 8 = -5*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*f = 4*m, 7*f + 13 = -16*m + 26*m + 81 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -40*p - 960 = -44*p. Suppose 0 = -17*n + 134 + p. Suppose -n*f - 68 = -24*f. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = 4 + 6*n**2 - 2*n**2 - 3*n - 3*n**2. Let z be u(4). Let l(j) = -37499*j - 8. Let t be l(z). Round t to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1722570 to the nearest integer?\nAnswer: 1312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a be (124763\/3116 + -40)\/((-1)\/(-4)). Suppose -5 = 3*d + 2*t - 7*t, -2*d - 4*t + 4 = 0. What is the nearest to 0.2 in a, 2, d?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = -10*z + 15. Suppose 0 = 6*t - 49 + 19. Let y be a(t). What are the prime factors of (y\/14)\/((-3)\/102)?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j**(1\/12)\/j*j\/(j\/(j\/((j**(-7\/2)\/j)\/j)*j*j)))\/((j\/(j**(-1\/21)*j))\/((j*j*j**37)\/j)) assuming j is positive.\nAnswer: j**(1275\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = 2*q + 12. Let s be a(-10). Let d = 12 + s. Calculate the remainder when 15 is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = -4*p - 5. Let y be (2\/4)\/((-1)\/(-8)). Suppose 0*z + 20 = -y*z. Is t(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-69 - (8 + -57)) + -14 + -3.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 2233015 (base 8) in base 14?\nAnswer: 119dc9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -299\/79439 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert -74261 (base 10) to base 11.\nAnswer: -50880","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*m + m - 2*m)*(-2*m - 1 + 1)*(4 + 0 + 3).\nAnswer: -28*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = 32*m. Let a(r) = 32*r + 22. Let d(z) = 11*z + 8. Let h(s) = -4*a(s) + 11*d(s). Determine g(h(n)).\nAnswer: -224*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Divide -3148 by 98.\nAnswer: -1574\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) be the second derivative of -q**6\/2 - 9*q**5\/5 + 21*q**4\/4 + 20*q**3 + 18*q**2 - 2*q - 1. Solve m(k) = 0.\nAnswer: -3, -1, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (5*(-1072)\/160)\/(15\/(-480)*-16)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 521 (base 11) to base 14.\nAnswer: 32c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 22 and 1474?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.3 in 0.04, -3, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Work out -537868 * 9.\nAnswer: -4840812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let -4*b**5 - 1116*b**4 + 492088*b**3 + 1497120*b**2 - 4953600*b = 0. Calculate b.\nAnswer: -516, -5, 0, 2, 240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 29*a = 19*a - 7*a - 51. Put -4, 4, -31, -5, a in decreasing order.\nAnswer: 4, a, -4, -5, -31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = v + 1. Let b(y) = 4 - 4 - 12*y - 4*y**2 + 6 - 3*y. Let g(m) = -b(m) - 4*l(m). Does 37 divide g(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from aaocacca.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) be the third derivative of l**5\/60 + 13*l**4\/24 - l**3\/3 - 9*l**2 + 9*l + 5. Give d(-19).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 306756 by 17042.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 108 and 2057848308.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -0.06 times 9170?\nAnswer: -550.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 20062021 (base 7) in base 9?\nAnswer: 3113081","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z be (2 + 0)\/((-150)\/225). What is the second biggest value in z, -0.06, 0.37?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -12192920 or -12192951?\nAnswer: -12192951","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -1*(-8)\/6 - (13 - 704\/48)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from uaaauaubaaauuaaua. Give prob of sequence aua.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 17039849?\nAnswer: 23, 29, 59, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 257, 245, 243, 257, 293, 357, 455?\n\"Answer: x**3 - x**2 - 16*x + 273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 7\/3 (b) -0.4 (c) 0.0533 (d) -5 (e) 29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort -16, 5, 2, -68, -1, -2 in ascending order.\nAnswer: -68, -16, -2, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) = -45*r**2. Let n(j) = 5*j - 3. Let w(i) = 10*i - 5. Let l(s) = -5*n(s) + 3*w(s). Calculate z(l(p)).\nAnswer: -1125*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 381 is divided by 109.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l be ((-12)\/(-10))\/(4\/30). Let w(g) be the first derivative of g**4\/4 - 3*g**3 + 10*g - 38. What is the units digit of w(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:53 PM and 1:34 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*s**2 - 440*s + 24200 = 0. Calculate s.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b = 5*b - 2*c - 70, 4*b = -c + 244. Calculate the lowest common multiple of b and 16.\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose n + 2*b = 16, -b = 2*n - 3*b - 2. Let o(l) = -l - 2. Let m(c) = 8*c**2 - 97*c - 76. Let t be m(13). Let d(r) = 2*r + 5. What is n*d(j) + t*o(j)?\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1.132 - -0.068. Let y = 5.2 - j. Suppose -1 = 2*f - 7. Which is the smallest value? (a) f (b) y (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1*-13351.\nAnswer: -13351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = x**2 - 5*x. Let h(d) be the first derivative of -2*d**3\/3 + 3*d**2 - 7. Suppose 37*p + 250 = 87*p. Determine p*y(c) + 4*h(c).\nAnswer: -3*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -6136 + -1151468583?\nAnswer: -1151474719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 176 minutes after 2:19 AM?\nAnswer: 5:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 15467.84ug?\nAnswer: 0.00001546784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence gyz when three letters picked without replacement from gbpzbpzpbypzppz.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Does 6 divide 2910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = -2*v + 1. Let c(z) = 2*z - 2. Calculate 4*c(x) + 3*o(x).\nAnswer: 2*x - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = -3*n - n + 0*n + 1. Let j(x) = x**2 - 2*x - 4. Let z be j(3). Calculate r(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -6, -29, 1, 1\/5, -0.01 in ascending order.\nAnswer: -29, -6, -0.01, 1\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1717231627?\nAnswer: 1847, 929741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o be 4\/4*(0 + 5). Let r = -3 + o. Suppose -r*i = 17 - 17. Solve -f - g + 5 - 2 = i, -5*g = -f - 3 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-8)\/4*1*(-20)\/80?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from kzzkzbkbzkkkzzkbbbb. What is prob of sequence kzz?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1\/19 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/4 in -2\/15, -1, -0.6, 4, 2\/251?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Product of -11995336 and 29.\nAnswer: -347864744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h = -17506.4 - -17506. Suppose 4*t + 4*q - q = 50, -t - q + 12 = 0. Let v be ((-4)\/t)\/2*3. What is the closest to v in -2, h, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 25551139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 135 and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u = 48 - 383\/8. Let j(y) be the second derivative of -3\/80*y**5 + 5\/48*y**4 + 0 - u*y**2 - 1\/24*y**3 - 2*y. Factor j(v).\nAnswer: -(v - 1)**2*(3*v + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (2 - 2 - 2)*(-2*z**4 - z**4 + z**4) + (-3*z + 0*z + z)*(9*z**2 + 24*z - 24*z)*(-2*z + 4*z - z) as b*z**3 + c + m*z**4 + v*z + a*z**2 and give m.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = 2*u**2 + 40*u. Let d(g) = 8788*g. Calculate r(d(w)).\nAnswer: 154457888*w**2 + 351520*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = 3*b**2 - 3*b - 1. Let x(p) = -3*p**2 + 3*p + 1. Give -5*c(k) - 6*x(k).\nAnswer: 3*k**2 - 3*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: ((-18)\/24)\/((3\/66)\/(8\/6))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z = 136 - 135. Suppose 0 = -q + 1. Let n be (1 - 1)\/(q\/1). Does z = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 15496 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 2 (b) -1\/3 (c) 2\/7 (d) -28 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 756794.1ml in litres?\nAnswer: 756.7941","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 14, 25, 26, 11, -26?\n\"Answer: -t**3 + t**2 + 15*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 12203 (base 5) in base 12?\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 3086224 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w = 25 - 43. Suppose 2*i - 3 = i - 5*v, -5 = -5*v. Let c = i - w. What is the greatest common factor of c and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = f + 4. Let x(q) = q + 5. Let w(d) = -5*h(d) + 4*x(d). Let z(p) = -7*p + 2. Let k(v) = 21*v - 6. Let j(n) = 4*k(n) + 11*z(n). Give -j(o) - 6*w(o).\nAnswer: -o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 5020.4201 rounded to the nearest ten?\nAnswer: 5020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 11478602689 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 39821 is divided by 13221.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = -i**3 + 2*i**2 - 14*i - 7. Let x(c) = -c**3 + 3*c**2 - 14*c - 6. Let n(z) = 2*b(z) - 3*x(z). What is the tens digit of n(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*2*((sqrt(288) - (sqrt(288) + 0 - sqrt(288))) + sqrt(288)))**2.\nAnswer: 4608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) be the third derivative of -r**5\/60 + r**4\/4 - r**3\/3 + 3*r**2. Let h(i) = -1. Let w(o) = -4*h(o) - y(o). What is w(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*q + 4*p + 388, -337 = -5*q - 2*p + 39. Does 19 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 34 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Multiply 3 and -1108.\nAnswer: -3324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find a such that a**3\/11 - 50*a**2\/11 - 107*a\/11 + 156\/11 = 0.\nAnswer: -3, 1, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = -u**3 + 6*u**2 - 4*u + 1. Calculate g(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 19 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = -2*m + 70 + 5*m - 133 + 67. Calculate g(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -19325752, -19325670, -19325534, -19325344?\n\"Answer: 27*a**2 + a - 19325780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = -23*m**3 + 100*m**2 - 43*m + 29. What is k(4)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o = 3.2 + -3. Let l = 216043\/3584 + 3\/512. Let u = l - 60. Which is the closest to -2? (a) o (b) u (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 56 - 44 - ((-2 - (-8 - -6)) + -29).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 600.2585l?\nAnswer: 600258.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = -474628*h - 1898511. Determine v(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Add together 5.6018 and -6924894.\nAnswer: -6924888.3982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1365523?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put 38035, -3, 47 in decreasing order.\nAnswer: 38035, 47, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:43 AM and 4:00 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = 2*o**3 - 6*o**2 + 5 + 6*o**3 - 9 + 6*o + 10. Let a(m) be the first derivative of -m**4\/4 + m**3\/3 - m**2\/2 - m + 4. Calculate 12*a(z) + 2*l(z).\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 176437 to the nearest integer?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -58 - -49 - -17 - -37.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 192*o = -24*o + 47*o + 1352. Solve 4*b - 1 = -3*k, 65*b - 4*k - o = 68*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*q - 4*q + 7*q)*(-147 - 90 - 36)*(-4 - 2*q + 4).\nAnswer: -546*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from efefffwdeew. What is prob of picking 3 f and 1 d?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k = p + 50, 0 = 2*k - 3 - 1. Is p less than or equal to -57?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 20791*a**4 + 3*a**3 - 12679*a**2 + a + 9 wrt a?\nAnswer: 498984*a + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is next in -13488, -50952, -113380, -200772, -313128, -450448?\nAnswer: -612732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1242, -4957, -11140, -19785, -30886, -44437?\nAnswer: -60432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 105 a factor of 23729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0212465 to four dps.\nAnswer: 0.0212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -1100021022210 (base 3) in base 16?\nAnswer: -ae4c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o = -245 + 175. Let r = 11 - o. Suppose 3*l = -3*h + h + 51, -l - r = -4*h. Solve 0 = n - 4*n - 3*t + 3, 0 = -5*n + 3*t + h for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = y**2. Let j(z) = 54909*z + 36. Let n(p) = 32952*p + 21. Let u(i) = -7*j(i) + 12*n(i). Give u(d(a)).\nAnswer: 11061*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k be -9 + 1748\/161 - (-4)\/2. Let y(p) be the first derivative of 0*p + 2 - 13\/14*p**4 - 36\/5*p**5 - k*p**6 - 4\/7*p**2 + 8\/3*p**3. Factor y(o).\nAnswer: -2*o*(o + 1)**2*(9*o - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*l**2 - 55380*l + 110773600.\nAnswer: 5*(l - 8456)*(l - 2620)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f\/f**9)\/(f*f**(-2\/7)\/f*f))**6*((f*f**(-4\/5))**(5\/3))**(14\/3) assuming f is positive.\nAnswer: f**(-3196\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -132*d**5*h - 2*d**3*k - 8*d**2*h + 793*d*k - 13*h*k wrt d?\nAnswer: -2640*d**3*h - 12*d*k - 16*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1206208?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -375, -353, -315, -261?\n\"Answer: 8*t**2 - 2*t - 381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -455*o**2 - 429*o**2 + 5*o + 894*o**2.\nAnswer: 10*o**2 + 5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 453 divided by 6\nAnswer: 151\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -35, -32.8, 0?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 8, 443, -2, 7, -3, -1 in decreasing order.\nAnswer: 443, 8, 7, -1, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round -38923.5447 to the nearest integer.\nAnswer: -38924","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 21 + 4363?\nAnswer: 4384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 0.04 + 3350364\nAnswer: 3350364.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let g be -2 - (6 - 2 - 39). Let b be (-2)\/(-8) - 2\/8. Let h = g + b. Calculate the highest common factor of h and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 l, 1 p, and 1 v when three letters picked without replacement from {l: 3, v: 3, p: 2}?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 74154021?\nAnswer: 3, 24718007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*t + 4378 = 1531. Which is bigger: -218 or t?\nAnswer: -218","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) 1 (b) -4 (c) -2\/7 (d) 20\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*i**2 - 5405*i + 486090.\nAnswer: 5*(i - 982)*(i - 99)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = -2*o**2 - 3*o - 1. Let z be 4\/(-18) + 16\/54*-6. Calculate n(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-3)\/(-5))\/((-8)\/(11200\/(-51660)))?\nAnswer: 2\/123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 135 and 10785.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = 2*q**3 - 123*q**2 + 624*q - 461. Calculate a(56).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = -33*m + 20. What is the tens digit of x(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -61.13 - -0.13. Let o = n + 60.999829. What is o rounded to 5 decimal places?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 2400 and 1275?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 s and 1 l when three letters picked without replacement from {i: 2, x: 4, j: 1, l: 2, f: 2, s: 3}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Does 126 divide 6258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = -k**2 - 16. Let h = -401 + 711. Let w = 310 - h. Give x(w).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 22264129 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v = -9 - -20. Suppose 2*k + 2 = 0, 0 = -3*b + b + k + v. Let n be b\/(5\/(-8))*-1. Calculate the highest common divisor of n and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 11*a*c**3 + 171470*a*c**2 - 50481*c**3 wrt c.\nAnswer: 66*a - 302886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -34069020 divided by -127\nAnswer: 268260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 503029 and 451?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.5 and -238?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 339*i - 756 = 152*i + 142*i - 3456 for i.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = 596*f - 595. Let p be a(1). Let z(d) = -d**2 - d. Let q be (14\/(-42))\/(2\/(-30)). Let j(v) = 6*v**2 + 6*v - 1. What is p*j(m) + q*z(m)?\nAnswer: m**2 + m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w = -229 - -239.7. Let n = w - 11. Let v = -29 - -117\/4. What is the closest to v in 9, 2\/5, n?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -70925589 by -9.\nAnswer: 7880621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = n**2 - 12. Let z be c(5). Suppose -z = -w - 17. Sort 4, -5, w.\nAnswer: -5, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.4 - 0.0107\nAnswer: -0.4107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 251 minutes after 8:04 AM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find v such that 2*v**4 - 9520*v**3 - 9706*v**2 + 875664*v + 1713960 = 0.\nAnswer: -9, -2, 10, 4761","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from sgwsygygdywwdssss. Give prob of picking 2 w.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i = 4*h - 3*i - 304, -228 = -3*h - 4*i. Suppose -q + 6*q - 4*s - 95 = 0, -4*q = -s - h. Is 4 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -3435512 + -17?\nAnswer: -3435529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate 79656 divided by -2.\nAnswer: -39828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l = 79\/3 - 26. Does l = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = 8*x**3 + 2*x**2 - 43*x + 78. Calculate c(2).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u be ((-19)\/(-76))\/(1\/(12\/1)). Let r = 0.1 - 0.2. Which is the nearest to r? (a) -1\/3 (b) -4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 25460 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.8 in 5.7, 1\/5, 228, -3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 2\/11 at most as big as -355586?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000937 rounded to 4 dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-15)\/10*30\/(-75).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2716*y**2 - 41585084 + 41585084 + 1483*y**3 wrt y?\nAnswer: 8898","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -1034559, -2069106, -3103653, -4138200, -5172747, -6207294?\n\"Answer: -1034547*j - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} {"text":"Question: 2\/9*3\/(-2)*-5\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 3? (a) -2 (b) -1\/3 (c) 0.3 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m = 331.557 + -332. Let u = m + 0.443000007. What is u rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*f + 4 + 21. Let i = -12 + 6. Sort f, 2, i.\nAnswer: i, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-144771)\/13079 + 11 + 1 + -1.\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -6 + 3. Let h(p) = 11*p - 3. Let d(k) = 10*k - 3. Let s(j) = 7*d(j) - 6*h(j). Let u(b) = 14 - 28*b - 72 + 22 + 19 + 19 + 26*b. Give o*s(w) - 5*u(w).\nAnswer: -2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 277969433 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -13*m + 12667 + 3726. What is the thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 17967 is divided by 644?\nAnswer: 579","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k = -95 - -95.47. Let h = k + -0.21. Let b = h + 0.64. Which is greater: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 32493644*i*w**2 + 12*w**2 + 6*w + 15002 wrt i?\nAnswer: 32493644*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 68413421 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -h - 1 + 28 = 4*l, 2*l + 4*h = 24 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort 9028.7, -1\/8, -1, 4, -4 in decreasing order.\nAnswer: 9028.7, 4, -1\/8, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 149429 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = -1. Let l(p) = p. Let n(t) = -6*t + 1. Let d(g) = 5*l(g) + n(g). What is d(k) + 2*o(k)?\nAnswer: -k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is next in -667110, -667206, -667302, -667398?\nAnswer: -667494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ptrt when four letters picked without replacement from {p: 6, s: 2, l: 4, r: 1, t: 3}?\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -97 (base 11) to base 13\nAnswer: -82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 223 a factor of 2196327?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express (-2*d**3 - 2*d**3 + 34*d**3)*(0 - 3 + 5) in the form y*d**3 + g + c*d**2 + h*d and give y.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 2 = -18*v + 16*v - l - 1, l - 5 + 4 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-2)\/21)\/((-3)\/(-7)). Put -3, 0.1, h in decreasing order.\nAnswer: 0.1, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 102471127 + -47?\nAnswer: 102471080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (36\/48)\/((-105)\/(-120) - 2\/(-2)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = s**3 + 2*s**2 - 40*s - 116. Let p(c) = -c**3 - 4*c**2 - 3*c + 6. Let w be p(-6). What is the remainder when (-3)\/(-2*4\/w) is divided by j(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((d\/((((d**(-2)\/d)\/d*d)\/d)\/d*d))\/d)\/(d\/((d\/d**(-3\/5))\/d)))\/(d\/(d*(d**(-1\/6)\/d)\/d*d*d)*(d**(2\/9)*d)\/d) assuming d is positive.\nAnswer: d**(289\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 18 + 4 + ((-4642)\/(-91) - 73)?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*x**2 - 2*x**2 + x**2)*(-4*x**3 + 26*x**2 + 18*x**2 + 3*x**3).\nAnswer: -3*x**5 + 132*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Work out 5 * -1.3818.\nAnswer: -6.909","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -2595.708006 rounded to the nearest integer?\nAnswer: -2596","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 859868978.\nAnswer: 2, 19, 22628131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g = -2*j - 0*j + 10, -3*j - 2*g = -19. Let r = j + -5. Calculate the greatest common divisor of 2 and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 2, x: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 242c (base 14) to base 8\nAnswer: 14250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(75) + ((-4 + sqrt(75))**2 - sqrt(75)))*2.\nAnswer: -80*sqrt(3) + 182","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-50 - 1990*k - 2014*k + 4009*k - 22)*(-k**2 - 2 + 2).\nAnswer: -5*k**3 + 72*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put 1, -5, 3, -3, 46685, -2 in increasing order.\nAnswer: -5, -3, -2, 1, 3, 46685","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1186906.\nAnswer: 2, 7, 17, 4987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z = -109.5 - 0.5. Let f = z - -110.1. What is the nearest to f in -2\/3, 4, -1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = i**3 + 16*i**2 + 7. Determine y(-16).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = -n**2 - 9*n. Let a be u(-8). Let l(k) = -k**3 + 7*k**2 + 8*k + 1. Let x be l(a). Suppose 3*c + 4 = d, -4*c + 3*d - d = 6. Which is smaller: x or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 32558553 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 113168830?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express 4 - 5 - 5*h**3 + 10*h**3 - 1 as y*h**2 + u*h**3 + r*h + d and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-5)\/(-10) + -5)*(-484)\/3. Let k = o + -22499\/31. What is the common denominator of -53\/6 and k?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1030102?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 29 - (8 + -9 - (6 - -22)).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1604?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 q, 1 p, and 1 s when three letters picked without replacement from syyssyspqs.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) be the first derivative of -8*c**3\/3 - 1. Let f(w) = 7 - 6 + 2*w - 1. Give l(f(t)).\nAnswer: -32*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-1 - (-3)\/5) + (-74680)\/(-200). Suppose -5*h = -j + 111, -5*j + 74 = 2*h - l. Calculate the highest common divisor of j and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (4 - 3 + 2)*(521*h - 521*h + 24*h**2 + (-4*h + 4*h + h)*(-3*h - h + 5*h)) to the form m*h**2 + q + v*h and give m.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -345*q = 4*o - 341*q + 16, -37*o - q - 3 = 1 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*r**5 - 32*r**4\/3 + 118*r**3\/9 + 46*r**2\/9 + 4*r\/9 = 0. Calculate r.\nAnswer: -2, -1\/6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4909?\nAnswer: 4909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0008138 to four dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -57879537.812+14.9\nAnswer: -57879522.912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let o = -333 - -330. Put 3, o, 6, -3\/8 in descending order.\nAnswer: 6, 3, -3\/8, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -38 + -133353?\nAnswer: -133402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*(sqrt(99) + sqrt(99)*3*-1)*-3)**2.\nAnswer: 57024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 11110 is divided by 825?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*o - 44 = -3*j, j - 4*j = o - 2. Let b(r) be the first derivative of -r**3\/3 - 3*r**2 - 9*r - 193. Give b(o).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 36359?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (26 - -4)\/((-43)\/(-44419))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 168421 to the power of 1\/2, to the nearest integer?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.167 * 0.09.\nAnswer: -0.01503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:05 PM and 5:19 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 719 minutes after 8:44 AM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = 1265*y + 3*y**2 + 6 + 1400*y - 2644*y. Let v(i) = i + 1. Give -k(h) + 6*v(h).\nAnswer: -3*h**2 - 15*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 401119?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*k**3 - k**3 + 3*k**3 + (1 - 1 + k**2)*(-2*k + 0 + 0) + 1 - 1 - k**2 + k**3)*(5*k - 5*k - 10*k**2).\nAnswer: 20*k**5 + 10*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 15343 (base 6) in base 4?\nAnswer: 213033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Add 5631 and 0.07525639.\nAnswer: 5631.07525639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} {"text":"Question: Solve -4*d - 15 - 11 = 6 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(99)\/(sqrt(324)*-2).\nAnswer: -sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 2484 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.4? (a) -0.43 (b) 0.3 (c) 4\/37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-2)\/(-6))\/((-1)\/3). Let v be 0\/(i*(-1 + 3)). Let w = -8\/3 - -61\/24. Are v and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {z: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 1*-15299032\nAnswer: -15299032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 17617 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Express 2*x - 3*x**2 + 2*x**3 + 72 + x - 74 as z + i*x + q*x**2 + v*x**3 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = 92915*z + 2787459. Determine x(-30).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 402.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w be 5 - -3 - 7*(-1)\/(-7). Solve -b - w + 12 = 2*o, 4*b - 5*o + 19 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -4562.2662 to the nearest 100.\nAnswer: -4600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -9*u - 7 = -52, 11*o = 9*o + 4*u - 24 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p = -40 - -88. Let g be (-1)\/(-6) + 2042\/42 + 273\/1274. Are p and g nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 673.2 - -58475.\nAnswer: 59148.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = -p**2 + 198*p - 7573. Determine k(58).\nAnswer: 547","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h = -6.336 - 0.064. What is h rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -92 equal to -83982\/905?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*b = -1582 + 34. What is the remainder when (2 - 4)\/(((-12)\/b)\/2) is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 2105254 and 3064133?\nAnswer: 1019","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express (6*x - 16*x + 39 - 42)*(1 - 6 + 1) as g + q*x and give q.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k*k**2)\/(k**(-2)\/k)*k**(-2\/7)*k*k**(2\/5) assuming k is positive.\nAnswer: k**(249\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3211996.\nAnswer: 2, 23, 34913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + (sqrt(17) + 1)*5 + sqrt(2057) + 1 + 3 + (-6*(sqrt(153) + (1*sqrt(153) - sqrt(153)) + -3))**2 + 2.\nAnswer: -632*sqrt(17) + 5838","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort 554, 3, -3, 1 in decreasing order.\nAnswer: 554, 3, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 + (-2 + 1 - -3) - 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 20003 (base 8) to base 16.\nAnswer: 2003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-1)\/4)\/((210\/(-72))\/7).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*x - 12*x - x)*((1 - 1 + 2*x)*(1 + 0 - 2) + 2*x + x - 6*x) - x**2 - 6 + 6.\nAnswer: 74*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 290954a + -4?\nAnswer: 2909546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*s - 9 - 7. Suppose 0*b + 20 = s*b. Let u = 84 + b. What are the prime factors of u?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = -n**2 + n + 2. Let j(o) be the first derivative of -o**3 - o**2\/2 + 8*o + 82. Let y(a) = j(a) - 5*t(a). Determine y(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 122 divided by -58424.\nAnswer: -61\/29212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 101045 + 53273 = -50*o + 257*o + 2282*o for o.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (3\/(-2))\/(61\/366*(-18)\/34).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j = -5*m + 23, 4*m - 2*j + 5 = 25. Solve 0 = -t - 3*o - 2, 7*o + m = 10*o for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = m**3 - 217*m**2 - 14301*m - 2467. What is d(270)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) 11.8 (b) -2\/7 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x = 7601\/3640 - 74\/91. Calculate the common denominator of -19\/120 and x.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*y**2 - 294*y - 7020.\nAnswer: -2*(y + 30)*(y + 117)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) be the first derivative of -4 + 0*z**2 + 0*z + 2\/3*z**3. Let v(f) = 2*f. Determine v(j(o)).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.02 + 0.32. Which is the closest to y? (a) -4 (b) -19 (c) -5 (d) 2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 140\/41 (b) 33 (c) -996 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 33 a factor of 73509942?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate -211 + 227 + (2 - 3 - 18).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-17)\/3 - 2\/(-3). Let a be (48\/(-20))\/(1\/z). Suppose 4*c = -a, -f + 9 = -4*c - 3. Solve -x + 2*x - 2 = f for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 180.17505ms to minutes.\nAnswer: 0.0030029175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g = -q + 9, -2*g - 15 = -4*q - g. Suppose 3*u = -0*u - 4*f + 51, -q*f = -5*u + 114. Does 14 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*t**2\/9 - 140*t\/9 - 146608\/9.\nAnswer: 2*(t - 308)*(t + 238)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put -3\/4, 1\/1367, -1, 1, -3 in descending order.\nAnswer: 1, 1\/1367, -3\/4, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 0.5+0.00761963\nAnswer: 0.50761963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d = -1695384020916826\/59367 - -28557683913. Let x = d + 2\/2827. Find the common denominator of -56\/3 and x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 11 + -14. Let n = -1 + c. Let r = n + 4. Is 2\/7 < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*n + 3*m + 0*m - 19 = 0, -5*m = 4*n - 23. Is 1099 - n\/(4\/4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + (-3*(-5 + -5 + 4*sqrt(28) + sqrt(28) + sqrt(28)))**2.\nAnswer: -2160*sqrt(7) + 9973","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 17860 and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*l + 121 = 360*l - 609 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -385*d**3 + 66230*d**2 - 2849180*d + 73960 = 0.\nAnswer: 2\/77, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 4*g*y**2*z**2 - g*y**2*z - 2*g*z**2 + y**2*z**2 - 5*y**2 + 10*y*z**2 wrt g.\nAnswer: 4*y**2*z**2 - y**2*z - 2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s = 258\/1039 + 314205\/253516. Let i = s - -3\/244. Let w be (-2 - -1)*(2 + -3). What is the closest to -14 in -1\/8, i, w?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 384314?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:49 PM and 5:49 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d be 5 + (-240)\/(-6) + 4. Suppose -d = -10*o + 17*o. Suppose 5*g - 5*l + 0*l - 10 = 0, -22 = 5*g + 3*l. Which is bigger: o or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = 35*k - 419. Determine w(-19).\nAnswer: -1084","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -4? (a) 0 (b) 2\/13 (c) 0.1 (d) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) be the third derivative of 0*h**4 + 0*h + 87*h**2 - 1\/1050*h**7 - 1\/300*h**6 + 0*h**3 - 1\/300*h**5 + 0. Factor d(n).\nAnswer: -n**2*(n + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = 4*b**2. Let f = -93 + 96. Let x(a) be the first derivative of -4 + 0*a**2 + 0*a + 2\/3*a**f. Calculate u(x(j)).\nAnswer: 16*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 34*h + 29*h = -67*h - 260 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = 5*t**2 + 2*t - 7. Is y(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 17\/(-6) - 2\/(-6). Let g be 2\/((-3)\/(-120)*4). Let i be (0 - (-55)\/g) + -2 + -1. What is the nearest to 0 in i, 4, w?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from idkkkmkijkji. Give prob of sequence dj.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Factor x**2 - 3934536*x - 27541801.\nAnswer: (x - 3934543)*(x + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is (-42 - (50 + -103)) + (-14 - 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*-2*sqrt(4))\/(sqrt(128) - (sqrt(128)*1 - sqrt(128)))*-1.\nAnswer: 3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 947*q + 10260 = 567*q for q.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*u - 3 - 1. Suppose -u*r = -4*r + 56. Does 14 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l - l - x = -2, 30 = -5*l - 5*x. Let m be -5 + (-39)\/(-3) + l. Solve 0*r = m*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1220739 or -10986662\/9?\nAnswer: -1220739","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2242 or -2256?\nAnswer: -2256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a = 642.6 - 643.12868. Let t = a - -3.42716. Let m = -2.9 + t. What is m rounded to 4 dps?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -34*g = -2183 + 2183 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 156593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 19 and -1355857036360?\nAnswer: 1355857036379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s = -16298 + 14149. Is s not equal to -2151?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) be the second derivative of 11\/3*l**3 + 2\/5*l**2 - 70*l - 14\/15*l**4 + 0. Factor v(t).\nAnswer: -2*(t - 2)*(28*t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when -50 + 58 - (-1 + 2) is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: c (base 13) to base 6\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = 10*s**2 + 717*s + 12693. Calculate v(-32).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Factor 26*f**4 - 266*f**3 + 294*f**2 - 54*f.\nAnswer: 2*f*(f - 9)*(f - 1)*(13*f - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -411266*g + 152*g**3 + 269 + 411266*g wrt g.\nAnswer: 456*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2 in 0.26, -3\/5, 0.08?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 19375949?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x = 8 - 4. What is the third derivative of 3*g**2 - g**2 + 4*g - x*g - g**5 wrt g?\nAnswer: -60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + (2*(-1 + sqrt(3)) - sqrt(3) - sqrt(432)*3 - ((sqrt(45)\/sqrt(3))\/sqrt(5) + 3*sqrt(12)\/sqrt(4))*-3))**2.\nAnswer: 92*sqrt(3) + 1591","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence cf when two letters picked without replacement from {f: 1, m: 3, o: 2, c: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Round 0.736975 to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = 6*c**3 + 528*c**2 - 20*c - 150. Calculate o(-88).\nAnswer: 1610","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 32\/9 of a week?\nAnswer: 35840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = z**3 - 15*z**2 + 17*z + 2. Let s(c) = 2*c**2. Let h(d) = -k(d) + 2*s(d). Suppose -4*l - 18 = -5*l. What is the units digit of h(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 144880.542004 - 144929.5. Let y = -48.758 - s. Let f = -0.2 + y. What is f rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*y + 2*o - 61 - 64 = 0, 5*y + 55 = -12*o for y.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1 or -10\/681253?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 116904?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -6.06? (a) 3 (b) -0.3 (c) 2\/3 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f be 378\/49 + 8\/(-1). Let t = 0 - -4. Which is the nearest to f? (a) -0.3 (b) t (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = 2*h - 2. Let l = h - 3. Solve -5 = -2*a + 7*a + 5*c, 0 = l*a - 2*c + 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find w, given that -57343*w**3\/5 - 229224*w**2\/5 - 45756*w + 592\/5 = 0.\nAnswer: -2, 148\/57343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = -5*g - 1. Let n be l(-1). Suppose -n*x - 7 = 3*q - 2*x, -12 = -2*q + 2*x. Let w(y) = 302*y**2 + y - 2. Is w(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = 10*p**3 - 2*p - 1. Let u be z(-1). Let r be 3\/2*(-6)\/u. Suppose 26 + 9 = 7*x. Calculate the highest common factor of x and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose x = 5*a + 125, 2*a = -0*a. Let z = -16 + x. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*l**2\/11 + 1526*l\/11 - 1524\/11.\nAnswer: -2*(l - 762)*(l - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 + -28 + -10 + 13 + (-3 - -12).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 123559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 32, -2, -2\/7, 3\/10, -62?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = 22*g**3 + 3*g**2 - 5*g + 3. Let j(k) = 8*k - 71. Let l be j(9). Calculate the remainder when 61 is divided by f(l).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 28\/16 - 3\/(-12). Suppose -t = -k + 27. Suppose -5*w = 5*i - 3*i - k, i - 27 = -5*w. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**(-1)\/h)**50*h**1\/h*h**(-12) assuming h is positive.\nAnswer: h**(-112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1377 and 14481387.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = w - 3. Suppose 1 - 13 = 4*p. Let a(m) = m**3 + 2*m**2 - 5*m - 3. Let r be a(p). Suppose -3*t - 4*l - 8 = -4*t, -r*t - 3*l - 21 = 0. What is v(t)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 23 - 20. Suppose 2*c = -x*c + i + 147, c - 39 = 5*i. Calculate the remainder when c is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**12*q**(4\/9))\/(q\/(q*q*(q**(-10)\/q)\/q)*q**(1\/30)*q) assuming q is positive.\nAnswer: q**(37\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 524 minutes after 4:12 AM?\nAnswer: 12:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -0.5 (b) 47 (c) -171.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -245.5 rounded to the nearest 10?\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 623941 to the power of 1\/2, to the nearest integer?\nAnswer: 790","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x = -10304983.6999932 + 10304987. Let k = 58.3 + -55. Let f = x - k. Round f to six decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 561 divided by 111694.\nAnswer: 51\/10154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is ((-6)\/12)\/(64\/1408)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z = -z - 8. Suppose z*m - g = -0*g + 138, -3*m + 2*g + 101 = 0. Let k = 20 + m. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (16\/10)\/((-156)\/130)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from euuuveeuhvuhhhqhuehu. What is prob of picking 1 h, 1 u, and 1 e?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 divided by -6150.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 35580716 to the nearest integer?\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 8\/3? (a) -47 (b) 2\/15 (c) 3\/4 (d) -54 (e) 0.66\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -1648*r = -158*r + 677*r + 143022 for r.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Work out -3.3665 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c be -1*5*(-3 - -2). Suppose -2*b + 5*u = -22, u + c + 3 = 4*b. Let r be -4*1*b\/9. Which is smaller: r or 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = -5*o**2 - 10*o - 18. Let l(y) = 4*y**2 + 9*y + 19. Let q(n) = 3*b(n) + 4*l(n). Is q(15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c = -2*z + 198, 4*z + 93 + 111 = 2*c. Let q = c + -109. Let j(f) = -4*f - 9. Let r be j(q). What is the highest common factor of r and 243?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-409 - 3480*j + 409 - 2052*j)*(-5 - 1 + 4) + 0 + j + 0.\nAnswer: 11065*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) be the first derivative of g**4\/4 + g**3\/3 - g**2\/2 + g + 2. Suppose 0 = -21*k - 307 + 307. Calculate i(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15*w - 14*w = -3*y - 1255, 3*y + 1245 = -3*w. Let n = -377 - y. What is the remainder when 183 is divided by n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -108 (base 13) in base 3?\nAnswer: -20120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = 39379*p. Let r(u) = -u. Determine i(r(j)).\nAnswer: -39379*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2 + 106*d + 229*d - 87*d + 2 to the form p + y*d and give y.\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = 10*z**2 + 166*z. Is 23 a factor of p(-23)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*g + 5 = 0, 4*c - 5*c + 3*g = -4 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert 58563.99 millilitres to litres.\nAnswer: 58.56399","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = 2*d**2 + 264*d + 246. What is u(-131)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is next in -100639, -100628, -100617, -100606, -100595?\nAnswer: -100584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -352856*i**3*u**3 - i**2*u**3 + 21*i**2*u**2 - 89*i*u**3 - 2*i wrt i?\nAnswer: -2117136*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is next in -5, -17, -33, -53, -77, -105, -137?\nAnswer: -173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = i**2 - 1. Let k(q) = -q**3 + 6*q**2 - 6. Suppose -4*y = -5*b - 26, 3*b + 4*y = 2*b - 10. Give b*j(c) + k(c).\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let 7*n**4\/5 + 29*n**3 - 1176*n**2\/5 + 324*n\/5 = 0. Calculate n.\nAnswer: -27, 0, 2\/7, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 35753 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i be 1\/(((-3)\/(-2))\/((-6)\/(-14))). Let z = -4 + 3. Let y be (-3 - z*8) + -2. What is the nearest to -0.3 in 0.4, i, y?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 250 take away 1589382096?\nAnswer: -1589381846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 5, -46\/9, -2, 3, -5, 4\/5, -283?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*x**2 - 932*x + 928 = 0. Calculate x.\nAnswer: 1, 232","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -1165.994 plus -171?\nAnswer: -1336.994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate 182 + -0.002887429628.\nAnswer: 181.997112570372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c = 4 + 1. Suppose 7 = t + u, 20 - 5 = c*u. Let l = t + 3. What are the prime factors of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 472.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w = 12 + -5. Let a = -5 + w. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -23*h**2 + 7 + 2*h**2 + 60 + 28*h**2 - 8*h**2 + 16*h**5 wrt h.\nAnswer: 960*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o\/(o*(o**(1\/18)*o)\/o)*o)\/((o*o**(13\/2))\/o*o) assuming o is positive.\nAnswer: o**(-59\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 16\/(-275 + -109) - 3\/(144\/(-1538))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1 + 11. Let b = -4 + j. What is the remainder when b is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -4 + -210?\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -23636 = 5*g - f - 300830, -2*g = 5*f - 110883. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*v = -13*v - 11*v + 432 for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 678 minutes before 8:47 PM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0005256 to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-15)\/25*110902\/4686.\nAnswer: -71\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: (-50 - (-57 - -30)) + 6 + -2 + 127\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -2 divided by 60\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Put -1\/19, 3, -0.3 in increasing order.\nAnswer: -0.3, -1\/19, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2223 is divided by 280?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Divide -80 by 415.\nAnswer: -16\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o be (0 + -1)\/(-1) + -2. Let b(p) = p**2. Let y(v) be the second derivative of 5*v**4\/12 - v**3\/3 - 3*v**2\/2 - 11541*v - 1. Calculate o*y(q) + 6*b(q).\nAnswer: q**2 + 2*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 19 a factor of 17320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round 0.52079 to two dps.\nAnswer: 0.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = d**3 + d**2. Let z be i(0). Suppose z = q - 0*q + 15. Let w = -5 - q. Does 10 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -9*4*70\/(-504)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1291?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 2278, 4601, 7024, 9595, 12362, 15373, 18676, 22319?\n\"Answer: 8*r**3 + 2*r**2 + 2261*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c = -17 + 34. Let k(v) = v - 2. Let l be k(5). Suppose 5*h + 177 = j, 4*j + l*h + 204 - 958 = 0. What is the greatest common divisor of c and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 88 + (7\/(-7))\/((-5)\/(-20)). Suppose -97*m - 11492 = -u*m. Which is smaller: -883 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (28*10\/980)\/(-1*1)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 1429433293 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in 2\/21, 61, 0.3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 89096 is divided by 771?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 485496582?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round -534790300 to the nearest 1000000.\nAnswer: -535000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*i**2 + 176*i - 1936.\nAnswer: -4*(i - 22)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4 - 10*j**3 + 4 + 7*j**3.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*x + 30 = -4*v - 1, 40 = -5*x + 5*v. Let s = 3 + x. Let q(a) be the third derivative of a**6\/120 + a**5\/15 + a**3\/6 - 7*a**2. Calculate q(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j - 12 = -2*d, -10*d - j = -5*d - 75. Suppose 0 = -d*x + 1075 + 973. Does 16 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 142 - 141.7. What is the second smallest value in -2, m, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 5, -8, 93.1, -233, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 6176.1868 rounded to the nearest ten?\nAnswer: 6180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = -44*q - 217. Let b be c(-5). Solve 2*p - 4*w - 8 = -p, -p + b*w = -6 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -2\/10123 - -718773\/202460. Calculate the common denominator of 33\/2 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -q**4\/3 + 13*q**3\/3 - 19*q**2 + 95*q\/3 - 50\/3 = 0. What is q?\nAnswer: 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*l**2\/3 - 281762500*l\/3 + 9923763300781250\/3.\nAnswer: 2*(l - 70440625)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -519*j**6 + 7*j**2 - 62*j?\nAnswer: -62280*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -0.019246934 rounded to 3 decimal places?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:57 AM and 7:51 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ee when two letters picked without replacement from tteeeeteeet?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 40565 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: Let m = -3.9 - -3.2. Let h = m - -1.64. What is h rounded to one dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = 6*v**2 - 8*v - 3. Let b be w(4). Let j = 103 - b. Suppose -3*s + 120 = 3*r, -5*r - 102 = -3*s + j. Calculate the remainder when s is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 7283 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 3762, 15063, 33898, 60267, 94170?\n\"Answer: 3767*q**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g be 45\/6*(-24)\/12. Find the common denominator of 221\/154 + g\/(-35) and -97\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = -679*j**3 - 15*j**2 - 6*j + 3. Let s(z) = -1363*z**3 - 25*z**2 - 13*z + 5. Determine -5*g(y) + 3*s(y).\nAnswer: -694*y**3 - 9*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round 1927 to the nearest 100.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) be the first derivative of -o**4\/4 - 7*o**3\/3 + 3*o**2 + 8*o - 1. Let j be x(-7). Let c = j - -54. Is c a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth biggest value? (a) -4 (b) -6 (c) -2\/3 (d) -0.05 (e) -31 (f) 2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-16*j - 135 + 135)*(0 + j + 0)*(3*j + 0 + 0)*(-61 - 52 + 103).\nAnswer: 480*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = -l**2 - 12*l - 3. What is d(-11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 2.98046 rounded to 2 dps?\nAnswer: 2.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is o in -75*o**5 - 2490*o**4 + 13203*o**3 - 17898*o**2 + 8628*o - 1368 = 0?\nAnswer: -38, 2\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*c - c = 4*c. Suppose 3*h - 50 = -2*q + 5*h, c = -4*q + 5*h + 96. Let m(f) = 9*f - 5. What is the remainder when m(10) is divided by q?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 70 + -42. Let g(c) = -c**2 + 14*c + 42. What is the remainder when v is divided by g(16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = -71*f - 151. Determine w(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = 12*p + 9. Let f(r) = 28*r + 22. Let a(u) = -5*f(u) + 12*x(u). Let i(y) = -y**2 + 5*y - 3. Give 4*a(n) - 3*i(n).\nAnswer: 3*n**2 + n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 98784326 to the nearest integer?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r = 14322.9999992729 + -14323. What is r rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = c**3 - 2*c**2 + 4*c - 3. Let s be m(2). Suppose -s*g + 5*n = 10, n + 4 = -3*n. What are the prime factors of -2 + (-1 - g) - -20?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 193, 383, 557, 715, 857?\nAnswer: 983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 0.2041096 years in millennia?\nAnswer: 0.0002041096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 0.2, 1, -5, 0.35, -23?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 703685893 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p = -155.95 - -156. Let o be (-6)\/(-5) + (-2)\/10. Let h be 2 - 1\/(1\/o). Which is the nearest to 0? (a) p (b) h (c) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 717870 by 317.\nAnswer: 717870\/317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*r + r + 0*r)*(3 - 3 - 2*r)*((0 + 3 - 1)*(-1 + 0 + 0) - 4 - 4 + 5 + 0 + 1 - 2 + (1 + 4 - 4)*(-4 - 1 + 3)).\nAnswer: -16*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = i + i - 4*i. Let z(j) = 3*j**2. Calculate z(w(k)).\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -527 + -111252?\nAnswer: -111780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 58 + 90 = 4*j. List the prime factors of j.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be -3 + (-2 - (-1 - (2 + -3))). Let i be 21507\/b + (-8)\/(-20). Let u = -2021 - i. What is u rounded to the nearest 100?\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 4*(2 - 27\/12). Calculate the remainder when 96 is divided by p\/3*(-47 - 4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (3 + 5)*6\/4. Let s = 37 - u. What are the prime factors of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = -16*a - 38. What is the hundreds digit of r(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d + d = 36. Let z be 20\/6 + 3\/d. Suppose 3*l = -3*o + 24, 4*o + o = z*l. Calculate the remainder when 6 is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = 6024*p**3 - 8*p**2 + 37*p + 207. Let g be b(-19). Round g to the nearest 100000.\nAnswer: -41300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1 - -5. Suppose -2*j - 3*o + 24 = 0, -3*o + o - 48 = -z*j. Let k(s) = s**3 - 12*s**2 + 2*s - 11. Does 7 divide k(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 127 is divided by 21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 28347726 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*v - 1 + 1)*(-1 + 1 - 2*v**3) + 65*v + 115*v**4 - 65*v + (2 - 2 - 4*v)*(-v + v - 2*v)*(-9*v**2 + 15*v**2 - 8*v**2).\nAnswer: 103*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence wh when two letters picked without replacement from {s: 7, h: 1, k: 2, w: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o = -7 + 14. Suppose -4*m + o = 3. Let i(k) = m - 8 - k + 1. Give i(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -203 + 206. Solve -2*x = x - j*k + 3, 5*x + 3*k = -21 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = 3*q - 4. Let u = 8 + -5. Let c(m) = 4*m - 3*m - u + 3*m. Give -2*c(s) + 3*g(s).\nAnswer: s - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g = -24 - -34. Let c(j) = 7*j**2 - 18*j - 6. Let x be c(3). Suppose 0 = g*t - x*t - 259. What is the remainder when t is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = 7*h - 4. Let f(n) = -360 + 13*n - 355 + 708. Calculate -3*f(j) + 5*z(j).\nAnswer: -4*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -68219287603680 take away -0.8?\nAnswer: -68219287603679.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 201.2 times 3509?\nAnswer: 706010.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n = -3.96 - -4. Let i = -0.34 + n. Let a = i + 0.36. Round a to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -23 - -25. Suppose -6*c + 5*c - r = -104, 100 = c + q*r. Suppose -3*s + a = -128, a = -2*s - 4*a + c. Does 11 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = l**3 - l**2 - 1. Let s = 123 + -109. Let x(p) = 4*p**3 - 7*p**2 - 7. Calculate s*k(q) - 2*x(q).\nAnswer: 6*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is (1\/((-7)\/(-2)))\/(111\/222)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 6 - 3. Let d(t) = 0*t**2 + 4*t - 12*t + 7 - t**2. Let s be d(-8). Solve -5*x - i*r + 7*r - s = 0, -x = r + 5 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*p - 43 + 8 = 0. Suppose -2*o + 3 = -9. Calculate the least common multiple of o and p.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17*x + 84 = 24*x. Calculate the least common multiple of 6 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1059 a factor of 46059713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = -p**3 + 11*p**2 - 8*p + 5. Let t be q(10). Suppose -t = v - 15. List the prime factors of (28\/(-35))\/(4\/v).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 156 minutes before 5:32 AM?\nAnswer: 2:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 187 a factor of 25118214?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*w = 2*l + 42, -2*w + l + 51 = 6*l. Let s(a) = a - 11. Let f be s(9). Calculate the remainder when 2 + (-2 - (f + -22)) is divided by w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -64, -71, -118, -205, -332, -499?\n\"Answer: -20*i**2 + 53*i - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*i = -3*p + 29, -p + 7*i - 13 = 3*i. Let y be (p\/9)\/((-4)\/24). Is ((-36)\/16 - y)*-4 - -1370 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + -4*(sqrt(5) + 2)*-1 + (sqrt(605) + -2 + sqrt(605) + sqrt(605) + sqrt(605))*-5 + 0.\nAnswer: -216*sqrt(5) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h = 0, 4*a + 2*h + 3*h - 20 = 0. Suppose a*l - 12 = 2*l. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -14058398 rounded to the nearest 10000?\nAnswer: -14060000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 298 = -5*m - 3*n, 5*m - n + 74 = -240. Let r be -2 - 2 - m\/2. Let g = -23 + r. What is the greatest common factor of g and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -9 + 3 + 0 - (-153 + 144)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1332*d**3 + 1435*d**3 - 1726349 + 1726349.\nAnswer: 2767*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t be (0\/3 + -16)*(-3)\/30. Let k = 23\/2 + -11. Suppose -3*r + 5*r = -3*r. Which is the closest to r? (a) k (b) -0.4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 6021669*i**2 - 10520240 wrt i.\nAnswer: 12043338*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express -1817 - 26*x - 1820 + 3637 - 17*x**2 as i*x**2 + w*x + n and give w.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = 2*u + 38*x - 40*x, 5*u + 5*x = 10. Solve 4*s = -u*v - 26, -5*v + 2*s - 14 = -2*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*g - 0 + 2. Let a = g + 1. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 70233.\nAnswer: 3, 41, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -5301516*j*t**2*v + j + 38188416*t**2*v wrt j.\nAnswer: -5301516*t**2*v + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -2199 (base 11) in base 10?\nAnswer: -2891","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 139*b**2 - 330*b**2 + 165*b**2.\nAnswer: -26*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 598 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 415288519 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = -z**3 - 2*z**2 - 8*z. Let u(c) = -2*c**3 - 3*c**2 - 9*c. Give 6*m(a) - 5*u(a).\nAnswer: 4*a**3 + 3*a**2 - 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n = -1982063 + 2907270. Let r = -595207 + n. What is r rounded to the nearest 10000?\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = a**3 + 18*a**2 + 8*a + 18. Let o be b(-15). Let j be 2*141\/18*o. Suppose -33777 = 4*s - j. Round s to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in -1\/3, 0.5, 10, 2903\/4, -2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = -f**3 - 20*f**2 - 10*f - 40. Let t be a(-20). Let u = -157 + t. Solve -c - 1 - 3 = -4*k, -2*k + u*c = -2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 567138329 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r = -4 - -6. Suppose -2*j + 74 = 4*q, 4*q - 58 = q - r*j. Suppose -s - 5*d = -q, 2*s - s - 16 = -4*d. What is the greatest common factor of 16 and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 8622 and 3.\nAnswer: 8622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 - 16 = -2*u. Suppose 18 = u*g - 0. Suppose 2*o + 3*o = b - 15, g*o = -5*b + 75. What is the remainder when b is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 44856 divided by -6408?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 74 times 16\nAnswer: 1184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Work out 7708 - -2729.9.\nAnswer: 10437.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:19 AM and 3:44 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (21\/57)\/((-9576)\/(-4104)).\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -10000 rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -249 in 0, 3, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 5\/4 of a gram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 578136255 to the power of 1\/4, to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 41661 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/6 in 32\/7, 2\/3, -1\/1699, 1\/6, 0.6?\nAnswer: -1\/1699","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g be 6\/(-5)*(15\/(-2) - -5). Let t = 48 + -46. Suppose 4*s = -t*a + 30, 0 = 3*a - 2*s - 6 + 1. Solve -l = l + g*v + a, -l + v = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve h - 68 + 73 = -2*d, 0 = -5*h - 15 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -40.854 rounded to the nearest integer?\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y - 8 = 3*z - 5*z, -4*y = 2*z - 8. Let v(c) = 3 + 5*c + y - 4*c - 2*c**3 - 5. Does 6 divide v(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 148 and 185?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f be ((-2)\/2)\/(9\/90). Let m(u) = -2*u**2 + 5*u - 5. Let z(a) = -a**2 + 2*a - 2. Let j(r) = f*z(r) + 4*m(r). Let s(o) = 4*o. Give j(s(v)).\nAnswer: 32*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = -3*c - 47. Let r(q) = 21*q + 372. Let i(k) = -2*r(k) - 17*s(k). Let x(v) = 4*v + 28. Calculate -3*i(f) + 7*x(f).\nAnswer: f + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate 714 divided by 14.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {w: 1, c: 14, s: 5}. What is prob of sequence ccs?\nAnswer: 91\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f = 11 + -5. Let z(p) = -3*p + 2. Let y(m) = -m + 1. Let r(d) = -17*y(d) + 6*z(d). Let w be r(-8). Solve 5*x - 10 = 0, 0 = w*j - f*j + 2*x + 5 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -1020 (base 5) to base 9\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*(sqrt(88) - (1*sqrt(88) - sqrt(88))) + sqrt(88) + -1*(1*sqrt(88) - sqrt(88)))\/(sqrt(539)*-3*-2*1).\nAnswer: -2*sqrt(2)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let p = -34.61 + 0.91. Let q = p - -34. Is -1\/2 <= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -17880, -19261, -21558, -24765, -28876, -33885, -39786, -46573?\nAnswer: -54240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = -3*p**3 - 26*p**2 + 5*p - 9. Let s(g) = g**3 + 9*g**2 - 2*g + 3. Let x(f) = -11*s(f) - 4*z(f). Let b = 28 + -57. Let i = b + 24. Determine x(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from kkkazzlkzkkkrzkakakz. Give prob of picking 1 a and 1 z.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p = 1 + -0.5. Let i = -0.5 - p. What is the nearest to -2 in 1, i, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-16)\/6)\/(4\/(-12)). Suppose 2 = 2*g - q. Let a(b) = -3*b. Let y be a(-1). Solve -5*s = u + 25, -y*u = u - s - g for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -1154\/3 - -390. Let p = -1985\/3 + 3408251\/5151. Let a = p - 80715\/13736. What is the common denominator of a and m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 2220020222 (base 3) to base 8.\nAnswer: 157332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s - 4*s - 2*l = -1, 3*s = -2*l - 1. Suppose -g = -4*n + 23, -1 + 4 = 4*n - 5*g. Calculate the least common multiple of -2*(2 - 3)*s and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = -434*w. Let g(y) = 9*y + 84. Let l(u) = 4*u + 36. Let r(d) = 3*g(d) - 7*l(d). What is m(r(h))?\nAnswer: 434*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0\/(-1) - (8\/36)\/(-1)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-10)\/5 - (-2)\/1. Let j(i) = -2*i + l*i - 2*i. Let f(m) = -m**2. Give j(f(s)).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 3864, 3866, 3868?\n\"Answer: 2*k + 3862","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k - 2*x + 6 = 5*k, -k + 3*x + 3 = 0. Suppose 2*n - 70 = -k*n. Calculate the highest common divisor of n and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1 - 193*q + 157*q + 1 to u*q + o and give u.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*(-1*sqrt(1764))\/(sqrt(12) - (sqrt(72)\/(sqrt(24)\/sqrt(4)) - sqrt(12))))**2.\nAnswer: 1323","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = 3015*c - 1057. Let b(w) = 1005*w - 352. Let o(u) = 8*b(u) - 3*l(u). What is the derivative of o(x) wrt x?\nAnswer: -1005","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -22 + -7 + (-3 - -25)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yhv when three letters picked without replacement from hgvtvthy?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 432 and 6096.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -287127483 rounded to the nearest 1000000?\nAnswer: -287000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = -6*s**3 - 4*s**2 - 3*s + 3. Let w(t) = t**3 + t - 1. Let r(y) = h(y) + 3*w(y). Let l(p) = -7*p**3 - 9*p**2. Give 4*l(b) - 9*r(b).\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 0.1 * -14476\nAnswer: -1447.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -117*q**2*y**2 + 1577*q**2*y - q**2 + 2*q*y**2 - 121747*q wrt q?\nAnswer: -234*y**2 + 3154*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7367?\nAnswer: 53, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = -l**2 + 4*l - 3. Let m be q(2). Calculate the highest common divisor of 4 and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -421335 - -1?\nAnswer: -421334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 15c - -1c86?\nAnswer: 1de3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 25 - ad3de?\nAnswer: -ad3b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express -3 - 70*z**2 + 25*z**2 - 445*z + 43*z**2 as i*z + f*z**2 + c and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 45 and 171?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 10892, 10991, 11200, 11519?\n\"Answer: 55*x**2 - 66*x + 10903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 9810 and 3055350.\nAnswer: 999099450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (-16*g - 3*g - g)*(-5 + 3 + 0).\nAnswer: 40*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t = s + 3*s + 21, 23 = -2*s - 3*t. Let j be ((-9)\/(-36))\/((-1)\/s). Let w be j*(5 - (4 - 0)) - 6. Let h(n) = 2*n + 5. Give h(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 19 divide 90565796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 509799?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -147*c = -148*c + 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 610095 is divided by 13187.\nAnswer: 3493","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = 2050693*a**2. Let u(t) = -2*t. Give u(r(z)).\nAnswer: -4101386*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 677939711 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 198 a factor of 19124424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = -2*k. Let n(y) be the first derivative of 31*y - y**2 - 31*y + 30 + 14. What is n(c(w))?\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = -c**2 - 2*c + 4. Let w be k(-4). Let m be (3\/(-33))\/((-4)\/1420*-5) + 3. Which is smaller: w or m?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 1\/(-2*(-4)\/24). Let s(z) = z**2 - 2. Calculate s(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 385131 to the power of 1\/3, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate 264321045 divided by -15.\nAnswer: -17621403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 20*y**3 - 14*y**3 - y**3 + 3*y**3.\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 19 a factor of 371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 26 a factor of 704574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -7 + -4 + 8 + -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-333)\/30 - -11)\/((-6)\/1380). Solve v*y - 5 = -28 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*c - 4*w + 56 = -c, c + 3*w = 9. Solve -5*n = 3*b - c, 3*n + 3*b + 0*b = 6 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-8)\/(-200))\/((-2110)\/(-2743000))\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = -u**3 + 2*u. Let n(a) = -3*a**3 + a**2 + 7*a. Calculate 6*n(m) - 21*o(m).\nAnswer: 3*m**3 + 6*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 402 minutes after 5:38 AM?\nAnswer: 12:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*h - 162 = 2*k, 5*k + 27 = -3409229*h + 3409230*h for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -14*g**4 + 2*g**3 - 2*g**2*r**2 + 131*g*r**2 + 3*g*r wrt g?\nAnswer: -168*g**2 + 12*g - 4*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l = -502 - -510. Let f(i) = -i**3 + 10*i**2 - 10*i + 8. Give f(l).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -368 minus -27774?\nAnswer: 27406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i - 4 = -4. Suppose -a - 6 = -h + 3, 3*h - 2*a - 22 = i. Solve -5 = -h*v + 5*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 215 and 28552.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*r**2 - 2*r**4 + 2*r**2)*(4*r - 4*r + r) + (-1 + 1 + r**2)*(3*r**3 - 6*r**3 + 0*r**3).\nAnswer: -5*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from gzgazfgcifgfffz. What is prob of picking 2 g and 1 f?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: ((-238)\/(-91) + -3)\/((-1663)\/(-39) + -43)\nAnswer: 15\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Put 5, -3, -5, -2, 12 in increasing order.\nAnswer: -5, -3, -2, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = -955*n - 41073. Calculate v(-43).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 17773566 - -4?\nAnswer: 17773570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = -h**3 - 9*h**2 - 11*h + 6. Suppose y - 31 = 4*p, 0*y - y = 3*p + 25. Let n be w(p). What is the units digit of n\/2 - (-2 - -5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -22, 15, 72, 155, 270, 423?\n\"Answer: r**3 + 4*r**2 + 18*r - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -42892, 851, 5, 4 in descending order.\nAnswer: 851, 5, 4, -42892","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.3 * 0.5.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 36.6 * 3\nAnswer: 109.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 90 and 166356?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Convert -2467643 (base 8) to base 12.\nAnswer: -28b96b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 13, 103, 349, 829, 1621, 2803, 4453?\n\"Answer: 13*m**3 - m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 4, -3\/13, 0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 0.169 at least -139?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/3, 0.323, 71 in ascending order.\nAnswer: -1\/3, 0.323, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -8 (b) -1\/3 (c) 4 (d) -2\/13 (e) 7996\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: ((-36)\/(-24))\/3*-12\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 229624 is divided by 52?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 18328 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 3*d**3*u**4 + 1354536*d**3*u**2 - 5296629*d**2*u**3 - 3*u**2 wrt u.\nAnswer: 72*d**3*u - 31779774*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 16\/15 of a day in minutes?\nAnswer: 1536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 0 divided by -28240\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose j = -0*j + 3. Suppose 0 = -j*u - 2*u. Let m(k) = -4*k**2 + u*k - 5*k**3 + 2 + 2*k - 3*k. Let d(i) = -9*i**3 - 7*i**2 - 2*i + 4. What is 4*d(f) - 7*m(f)?\nAnswer: -f**3 - f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 40378\/5 greater than 8076?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 44433593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -0.2, 1153, -0.62, -2\/3, 21.9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -1\/6 (b) -4.63 (c) -37160\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = i**2 + 4*i. Let q(z) = -z. Suppose 6*m = m - 5. Let t(c) = m*v(c) - 4*q(c). Let r(s) be the third derivative of -s**4\/24 - s**2. Give t(r(n)).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -5146261 (base 8) to base 16\nAnswer: -14ccb1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z be 1504\/288 - ((-8)\/(-36) + 0). Put 69, 2, z in decreasing order.\nAnswer: 69, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 8997*x**5 - 5873*x**2 - 324248726*x wrt x?\nAnswer: 179940*x**3 - 11746","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*m - 5*m = 3*u + 2, 5*u = 5*m - 30. Solve -m*p + 20 = 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -680 divided by 17?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 3 (b) -5 (c) -0.3 (d) -2 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 23? (a) -4 (b) -65 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify w*w*(w\/(w*w*w*w**(16\/5)*w*w*w))\/w*w*w**6*(((w**(-23\/5)\/w*w)\/w)\/w)\/(w\/(w*w\/(w*w**(-27\/4))*w)) assuming w is positive.\nAnswer: w**(19\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = -3*l**3 - 5*l**2 - 230*l + 1300. Give h(6).\nAnswer: -908","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -5589, -44703, -150863, -357591, -698409, -1206839, -1916403?\n\"Answer: -5587*l**3 - l**2 - 2*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3098 is divided by 182.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 0 + (-9 - 5) + 1 + (-3 - -1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = 21*o - 30. Let t be y(6). Let k = t - 90. Solve -3*x - 6 = -k*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*z + 4*t + 24, -2*z + 11 = -3*t - 1. Suppose 0 = 35*o - 41*o - z. Put 40, 1, o in decreasing order.\nAnswer: 40, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3 - 3 + a)*((-a + a - a**3)*(2 - 3 + 2) + (-4*a - 2*a + 4*a)*(-4*a**2 + 2*a**2 + 5*a**2)) to the form g*a**3 + t*a**2 + h*a**4 + w + k*a and give h.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6 + (1\/((-12)\/10378))\/(19\/(-114))?\nAnswer: 5, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 66020, 65687, 65350, 65009, 64664?\nAnswer: 64315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b be 21716\/(-42) - (-40)\/840. Let w = b - -515. Let q(f) = -2*f**2 - 3*f - 2. Let h be q(-2). Sort w, 0, h in ascending order.\nAnswer: h, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*s + 4 + 10. Suppose -s*c - 36 = -c. What is the tens digit of c\/8 - (-870)\/40?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0, 445, 12, -8, 4, -1 in ascending order.\nAnswer: -8, -1, 0, 4, 12, 445","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = -o**2 + 6*o + 2. Suppose 3*k + b = 19, 3*k - b + 4*b = 27. Let w be t(k). Let -c**2 + 4*c**4 - 4*c**5 - w*c**4 - 3*c**3 + 3*c**5 = 0. Calculate c.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(sqrt(88)\/sqrt(4)*-4 - sqrt(22))\/sqrt(2).\nAnswer: 25*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = 79*m**3 - m**2 - m - 1. Let c be v(-1). Let i = c + 87. Does 4 = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 446 + -446.25. Put -5, 2, -3, y in decreasing order.\nAnswer: 2, y, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 110086?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = -p**3 + 88*p**2 + 99*p - 875. Let h be z(89). Solve h = 5*t - 4*w + 25, w = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 12506*h - 10046 wrt h.\nAnswer: 12506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r = 5 - -3. What is the units digit of r\/6 - 4\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 9654, 9653, 9652, 9651?\nAnswer: 9650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-3)\/19)\/((-96)\/(-1824))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20 = 5*c - r - 3*r, 3*c - 12 = -4*r. Suppose 0*j + 105 = -3*j. Does 12 divide j\/(-2) + 2\/c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 9 divide 28180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*o - 8 = 0, 552*c - 5*o = 547*c + 10 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = 3*l**2 - 3*l + 3. Let g(c) = 9*c**2 - 8*c + 8. Let v = -25 - -21. Let i(o) = v*g(o) + 11*s(o). What is i(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify s**30\/s**(-16) assuming s is positive.\nAnswer: s**46","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 132 is divided by 43?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is -641334 smaller than -641334?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 6128163 to the nearest integer?\nAnswer: 2476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -8 in 1\/2, -344, 130, 3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put -5, -528, 154\/13, -1\/31 in decreasing order.\nAnswer: 154\/13, -1\/31, -5, -528","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort -34, -2\/13, 404, 4, 0, 5, -16 in descending order.\nAnswer: 404, 5, 4, 0, -2\/13, -16, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m - 2 = -10. Suppose 398*w - 2079 = 405*w. Let v = -294 - w. Solve -3*r - 3*u + 1 = -2, v*u = m*r - 17 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 807*s - 400*s - 194*s**2 - 395*s as v + z*s**2 + x*s and give x.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 1777088 a multiple of 680?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = -3*p + 3*o - 2, 0 = 4*o - 8. Let t(f) = -f**3 + 5*f**2 - 5*f - 1. Let q be t(4). Let n = q + 9. Put p, 2, n in descending order.\nAnswer: n, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3511329997 to the power of 1\/2, to the nearest integer?\nAnswer: 59256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o = 4*j - 7, 5*j = 2*o - 13 - 7. Let i = 1 + -1. Sort i, 4, j in decreasing order.\nAnswer: 4, i, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence aa when two letters picked without replacement from aaaaaaaaaaaadaa?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:05 PM and 2:46 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1027365 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: (4\/24)\/((-2)\/(-60))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = s**3 + 10*s**2 + 12*s + 8. Let b be q(-8). Suppose g = 0, 5*d - 2*g = -0*d + b. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1177 is divided by 315?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = 345*t - 3425. Give c(5).\nAnswer: -1700","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1166642 = 29*d - 957231. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 51821, 51836, 51875, 51950, 52073, 52256?\n\"Answer: 2*q**3 + q + 51818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:10 AM and 10:55 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 2f3 (base 16) to base 9\nAnswer: 1028","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q + z - 75 = -z, 5*z - 225 = 3*q. Suppose -41*h + 49*h = -568. Let t = h - q. Solve -t*s + 2 - 14 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 5 + (-50)\/15 - (-8)\/(-6). Let n = -3.5 - -4.1. What is the closest to l in n, -0.2, 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -23311*h**2*q + 2143*h**2 - 1379*h*q - 15*h - 122 wrt q.\nAnswer: -23311*h**2 - 1379*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = -995*l - 3983. Let x be n(-4). Which is the closest to 0.3? (a) -1.5 (b) -3\/5 (c) -2 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -103*q**3 + 105*q**3 - 277*q**3 + 977*q**3.\nAnswer: 702*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) be the second derivative of -2309*k**4\/12 + 961*k**2 - 29*k. Find the first derivative of s(v) wrt v.\nAnswer: -4618*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 49*p + 55*p - 180*p + 26*p - 98 to the form r + j*p and give j.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand 5*t**4 + 0*t**2 + 0*t**2 + (-t**2 + 0*t**2 - 4*t + 2*t)*(-3*t**2 - 4 + 4).\nAnswer: 8*t**4 + 6*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*g = -0*g - 294. Calculate the least common multiple of 4 and g.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**(3\/17)\/h**(4\/3))**(7\/10) assuming h is positive.\nAnswer: h**(-413\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: (-6*(-18)\/27)\/((-8)\/4*3)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m = 6078 - -13415. Calculate the greatest common divisor of 386 and m.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence pm when two letters picked without replacement from fffsmwwsfffpfw.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(832) + sqrt(832) + -4 + sqrt(832) - sqrt(13))*-1.\nAnswer: -23*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*p = 14 + 6. Let w = -9 + p. Put w, 0, -4 in descending order.\nAnswer: 0, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = 2*x - 7. What is the units digit of u(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 + 10 = 2*t. Suppose 16 - 41 = -t*c. Suppose -5*f + 25 = 0, 3*d - c*f = -3*f + 5. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 18 divide 4023306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1471352 and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o = 3*o + 4. Let d = 39 + -36. Solve -o*h = d*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence rnn when three letters picked without replacement from {w: 4, n: 2, r: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -5, 2\/441.\nAnswer: -5, 2\/441, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y be 0\/(-2*5\/(-10)). Solve f + f - 8 = y for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 49, 298, 695, 1252, 1981, 2894, 4003, 5320?\n\"Answer: 2*a**3 + 62*a**2 + 49*a - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -6340162645 + 5?\nAnswer: -6340162640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -5753 (base 9) in base 12?\nAnswer: -2570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -2160*s - 5007 = 1848*s - 999 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:02 PM and 2:59 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -67\/18 and -137\/36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x be (3 + (-40)\/12)\/((-1)\/15). Suppose 5*w + 2*q = q + 37, -2*w = q - 16. Suppose w*u - 5*u = 0. Which is bigger: x or u?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -c - 4*c - 10. Let g be (-12 - (-1 + c))*1. Let l(v) = -17*v**3 + 9*v - 9. Let y = 1 + -3. Let j(o) = 4*o**3 - 2*o + 2. What is g*j(z) + y*l(z)?\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Factor 6*p**4 + 52*p**3 - 175*p**2 + 173*p + 25*p**2 - 129*p.\nAnswer: 2*p*(p - 2)*(p + 11)*(3*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 11879\/2638 + -4\/1319. Factor i - 6*w + 3\/2*w**2.\nAnswer: 3*(w - 3)*(w - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = -263*u - 19726. Calculate b(-75).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 2, 15586, -12?\nAnswer: 15586","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 2678397 > 2678408?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {p: 2, w: 4, x: 3}. Give prob of sequence pxx.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 30762389 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9 = -2*f + 5*f, 2*s + 2*f - 24 = 0. Suppose s = 3*j, -b = -8*j + 3*j + 25. Is 1404 + 3 + b\/5 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 3.6 - 3.8. Let j = 5 - 2. Which is the nearest to -2? (a) j (b) -2\/3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -1 - 188?\nAnswer: -189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z = 87 - 60. Suppose 629 = z*p + 8. Solve p = -2*u + 6*u + 3*s, 2*u - 4*s + 16 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) be the second derivative of b**5\/20 - 7*b**4\/12 + 2*b**3 - 7*b**2\/2 - 3*b. Let s be a(5). Solve -5*q + g = 1, -5*q - s*g + 2 = -1 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.077*546.35.\nAnswer: -42.06895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3050587?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 23 or 2\/143?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = -88*q**3 - 8*q**2 - 15*q + 8. Let g(k) = -87*k**3 - 8*k**2 - 14*k + 6. Let z(n) = -4*g(n) + 3*x(n). What is the third derivative of z(b) wrt b?\nAnswer: 504","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -57 + 25. Let r be ((-10)\/20)\/(2\/l). Let k be 12\/r - 111\/90. Which is smaller: 1\/4 or k?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -47*k**3 - 485911*k**2 + 485923*k**2 + 45*k**3 - 7.\nAnswer: -2*k**3 + 12*k**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-4 + 26\/(-7))*-7. Is (-2359)\/(-9) + (-6)\/j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -427aad (base 15) to base 2\nAnswer: -1100000100101001110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express -830*s**4 + 0 - 2*s + 2 + 819*s**4 in the form l*s**4 + u*s**3 + q + g*s**2 + d*s and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = 43*a + 1. Let z(g) = 11*g. Let r(j) = 2*c(j) - 9*z(j). Let b(x) = -7*x + 1. Let d(n) = n**3 - 6*n**2 + 6. Let v be d(6). Give v*r(s) - 11*b(s).\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 179*k - 180*k + 2664. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 7*i + 2*i**2 - i**3 - 87*i + 66*i + 442*i**4 + 16*i in the form n*i**4 + q*i**3 + d + x*i**2 + b*i and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -4103, -4176, -4297, -4466, -4683?\n\"Answer: -24*p**2 - p - 4078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = -f**2 + 9*f - 7. Calculate l(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 20789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -42880 rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = -22*b + 2. Let q(m) = -7*m - 11. Let w(r) = 6*r + 8. Let a(t) = -3*q(t) - 4*w(t). Let n(c) = -21*a(c) + 3*p(c). Give n(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) be the first derivative of -w**6\/12 - 3*w**5\/10 - w**4\/4 + w**3\/3 + 3*w**2\/4 + w\/2 + 2973. Factor z(v).\nAnswer: -(v - 1)*(v + 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 23\/4817184 and -109\/1520.\nAnswer: 24085920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) be the second derivative of 0*t**6 + 0 + 0*t**5 - 10\/21*t**7 + 35*t + t**3 + 0*t**4 + 0*t**2. What is the second derivative of o(b) wrt b?\nAnswer: -400*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m + 0 = -27. Let c = -327 + 331. Let u(d) = 24*d - 41. Let l(g) = -46*g + 81. Let j(v) = c*l(v) + m*u(v). What is the derivative of j(f) wrt f?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 69527.78 years?\nAnswer: 695.2778","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 q and 2 j when four letters picked without replacement from {j: 4, h: 6, q: 7}?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000005093 rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w - 3*d - 2447 = 0, 15*w - 2*d = 12*w + 3668. Calculate the remainder when w is divided by 102.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from xxxxxxxxxxxxxxxkxx. Give prob of picking 1 k and 1 x.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -1.5, -416685, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 33752 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + ((-1*sqrt(425) - sqrt(425)) + 5)*3 - (0 + (sqrt(425)*2 + sqrt(425))**2 + sqrt(425) + sqrt(425) + -5*(sqrt(425) + 0))*1.\nAnswer: -3815 - 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 + (6 - 21) + 6 - -6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3*d**3 + 6*d**3 - 23*d**4 + 25*d**4 - d**2 to b*d**2 + o*d**4 + t + w*d + v*d**3 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*u + 449 = 1241. Calculate the lowest common multiple of u and 99.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 11 (b) -3 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 7 + (-25 - -7) - 3?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -14*n - 26 - 44 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1243203 is divided by 1243176?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*z = 2 - 12. Let g = -0.09 + 5.09. Suppose -4*l - 18*m + 15*m = -15, 11 = 4*l - m. What is the third smallest value in z, l, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-28)\/(-30))\/7*792\/(-88)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 49613 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 84580500 rounded to the nearest one million?\nAnswer: 85000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:27 AM and 8:08 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -11, 2, -5, -3 in increasing order.\nAnswer: -11, -5, -3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000063229 to 6 decimal places.\nAnswer: 0.000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v = -81 - -81. Suppose v = 2*w + a + a - 1988, 0 = 4*w + a - 3967. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 4056 - 4041. Solve 0 = 4*b - u - 11, 0 = -0*b + 4*b + 3*u - a for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a - 42 = -31. Sort 2, 0, a, -1 in descending order.\nAnswer: 2, 0, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 f, 1 g, and 1 j when three letters picked without replacement from gssgpjpopppspgppfp.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let 2*r**2 + 22116*r - 354368 = 0. Calculate r.\nAnswer: -11074, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -67 divided by 961604\nAnswer: -67\/961604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r - 7 = -11. Let f be (-228)\/(-8) + 5\/r. Calculate the highest common divisor of 2 and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6*((-20)\/12 + -1 - -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0.2356 + -1.2356. Which is the second smallest value? (a) p (b) -0.08 (c) 1 (d) 11\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = 5*h**2 - 3*h - 7. Let p(z) = -3*z**2 + 2*z + 4. Let t be 352\/(-48) + (-10)\/(-3). Let a be 2\/(-5) - (-198)\/(-30). What is a*p(q) + t*r(q)?\nAnswer: q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 33216 + -4?\nAnswer: 33212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence sess when four letters picked without replacement from {s: 6, e: 4}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = 4*g**3 - 185*g**2 + 860*g + 71. What is t(41)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 3.8 (b) 0 (c) 0.14 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c + 106 = -467. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -53\/447 and 12?\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 8013151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = -338*h - 35426. Determine z(-105).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b**2\/b*b)\/b*b\/(b\/((b\/(b*b**(-3\/7)))\/b))*b*b)**(-2\/7)*(b**5*(b**0\/b)\/b)\/(b**(-2)\/(b**(-2\/3)\/b)) assuming b is positive.\nAnswer: b**(388\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.015 + 13.015. Let g = 8.17 + -0.17. Let m = l - g. Which is the closest to 2\/3? (a) m (b) 1 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*v - 3*v + 0*v)*(-8 - 6 - 7)*(-5 + 16 + 22 + 5).\nAnswer: -1596*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -999, -1132, -1261, -1386?\n\"Answer: 2*o**2 - 139*o - 862","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*x - 10 = 0, -58*x = -5*c - 53*x + 10 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) be the first derivative of -3539*p**4\/4 + 155*p**2\/2 + 3378. Find the second derivative of b(l) wrt l.\nAnswer: -21234*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x\/((((x\/(x*x*x**5*x*x))\/x)\/x)\/x)*x*x*x\/(x**(-6\/11)*x))\/(x\/((x*x**17)\/x)*x**(-10\/7)\/x*x) assuming x is positive.\nAnswer: x**(2462\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i = 40 - 37. Solve 0 = b - i*b + 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -85c3 (base 15) to base 13.\nAnswer: -cb67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2859 is divided by 65.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -3 + 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yyuyuuy.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = -4*h - h + 2*h. Suppose -5*m + 9 = 5*p - 1, 5*m = -p + 2. Let g(r) = -2 + p - 12*r + 11*r. Calculate g(q(z)).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3 - 5*b**2 + 13*b**2 - b**2 + 2*b**3 + 3*b to j*b**3 + x + r*b**2 + p*b and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) be the third derivative of o**5\/60 + o**4\/24 + o**3\/6 - 213*o**2. Let c = 6 + -3. What is h(c)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 1247 (b) 0.104 (c) 2\/3 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -w - 23 = 2*q - 22, 4*q - w + 5 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 121*r**2 + 7*r**2 - 59*r**2.\nAnswer: 69*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Round 3813502.2 to the nearest one hundred thousand.\nAnswer: 3800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1544204?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 22 + -76?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = -1607*f + 4. Let w(k) = -17*k + 1. Give -v(n) - 3*w(n).\nAnswer: 1658*n - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 37*z + 840 = 29*z. Let y = -86 - z. Solve -20 = -4*t + 4*f, t - 6*t = -3*f - y for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -49*h = -60*h + 1650. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-1189760)\/(-528))\/(-169)*2\/(-5)?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z be 0 + ((-4)\/10)\/(9\/(-45)). Solve 0*f + 8 = z*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 27619734.\nAnswer: 2, 3, 23, 263, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (0\/3)\/(6\/3) - -793?\nAnswer: 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1486\/17 greater than 125507?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 2872981333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-2*(-1)\/4)\/(245\/(-70)). Which is the closest to -1\/4? (a) 10 (b) 2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*x**2 + 58*x + 0*x**2 - 58*x.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -720 divided by -30?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 e, 1 g, and 1 s when three letters picked without replacement from {s: 6, g: 1, e: 2, w: 2}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 2224 and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h = 25471.145 + -24795. Let f = 676.6449984 - h. Let y = f + -0.5. What is y rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -34.907 + -0.093. Let u = s - -32. Let z = -3 - -3.4. Which is the closest to -0.2? (a) u (b) z (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/2 in -294, 1\/2, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*z - 2*j - 44, -2*z - 2*j + 36 + 16 = 0. Calculate the remainder when 693 is divided by z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} {"text":"Question: Let l(y) = -y**3 - y. Let q(u) = 6097*u**3 - 268*u. What is -268*l(v) + q(v)?\nAnswer: 6365*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z - 14 = -j, -10 = -z - 4*j + 13. Suppose -z*g - g = 16. Let w be (1 + 2)\/((-3)\/g). Solve s = w*s + 12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -421, -834, -1245, -1654?\nAnswer: -2061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -3*i**3 + 559*i**4 - 3900*i**2 - i**3 + 22*i**3 - 15*i**3 wrt i.\nAnswer: 13416*i + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -123\/10 and 21\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Determine x so that 2\/5*x**3 + 126\/5*x**2 + 0 + 124\/5*x = 0.\nAnswer: -62, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -101\/3510 and -25\/6318.\nAnswer: 31590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -80335908*i**6 - 1149*i**2 + 22825*i?\nAnswer: -9640308960*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Divide 163 by 11414.\nAnswer: 163\/11414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) = f**3 + 7*f**2 + 5*f - 1. Let a be p(-3). Let n = 17 + a. Suppose -q + 55 = 4*q. Calculate the remainder when n is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -26 (b) -1 (c) -3 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*(sqrt(170) - (sqrt(170) + 2*sqrt(170))*4))\/(3*1*sqrt(10)*1).\nAnswer: -44*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) be the second derivative of 0 - 5*d + 0*d**2 - 5\/12*d**4 + 0*d**3. What is j(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -11 + -32311?\nAnswer: -32322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 8069470 != 8069429?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = -j**2 + 42*j - 247. Let u be x(35). Which is greater: -142 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) be the second derivative of o**4\/9 - 260*o**3\/3 + 25350*o**2 - 142*o. Find f such that s(f) = 0.\nAnswer: 195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*x - 1 = -u + 9*x, -u - 2*x = 11 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = 3*a**3 - 229*a**2 + 234*a**2 - 4*a**3 - 5. Let z(p) = -1 - 84*p + p**2 + 84*p. Give -t(f) + 5*z(f).\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in 59, -1, 0.0252?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 131554965 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Round -308974000 to the nearest one million.\nAnswer: -309000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 11 (b) 2 (c) 2\/5 (d) -0.5 (e) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 140 and 616?\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o = -3825\/7 - -31237\/56. Find the common denominator of o and (-10)\/55*(-40)\/(-80) - (-50)\/(-176).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 504 minutes before 8:45 PM?\nAnswer: 12:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((16\/(-24))\/(-2))\/(760\/(-255) + 3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 190716685319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort 88, 0.1, -11, -0.41, 1\/4.\nAnswer: -11, -0.41, 0.1, 1\/4, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 0 divided by 542?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate -7076 - 1.621718.\nAnswer: -7077.621718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00000435471366 rounded to 7 dps?\nAnswer: 0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) be the first derivative of -17\/2*n**2 + 14\/3*n**3 - 15*n - 143 + 1\/4*n**4. Give j(-15).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 9 and 9459.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 20715 is divided by 2568.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round 0.001529898 to four dps.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -0.001915935 rounded to five dps?\nAnswer: -0.00192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 1149*n = 1172*n - 276 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = -163*m**2. Let n(z) = 3*z. Calculate g(n(f)).\nAnswer: -1467*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express -4*v - 3*v - 3*v**2 + 3*v**2 - 3*v**2 - 10 + 0*v**2 as k*v**2 + b*v + w and give w.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*n**2 + 5103740*n + 15311238.\nAnswer: -2*(n - 2551873)*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1424?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put 0.6, 82, -5, -1\/6, -0.1 in decreasing order.\nAnswer: 82, 0.6, -0.1, -1\/6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = -77931*g - 1962. Let d be m(-1). Calculate the highest common divisor of 207 and d.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*k**2 + 38*k**3 + 38*k**3 - 9*k**3.\nAnswer: 67*k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1630?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 36 divide 592892905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -53 = o - 0*o - 2*t, -5*o + 2*t = 273. Let j = o + 53. Calculate the lowest common multiple of 17 and (-3*(-8)\/60)\/(j\/(-50)).\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 66 and 5055?\nAnswer: 111210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g = -283 + 851\/3. Put 33, g, 0.4 in ascending order.\nAnswer: 0.4, g, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*m + 4*m - 2 + m)*(1 - 19 + 34).\nAnswer: 32*m - 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x = 514 + -471. Solve x*o = 38*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 297167 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j = 2211.1 + -2380. Let x = -169 - j. Which is the closest to x? (a) 0.2 (b) 1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.01 + -4.99. What is the nearest to -0.2 in -0.4, l, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (6 - 16 - -9) + (12 - (0 + -8)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m = 315.3 + -317.3. Which is the biggest value? (a) 2\/51 (b) m (c) 5 (d) -3\/4 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 2541, 5084, 7633, 10188, 12749, 15316, 17889?\n\"Answer: 3*j**2 + 2534*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 63009.83ng to kilograms.\nAnswer: 0.00000006300983","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -3 divided by 7580608?\nAnswer: -3\/7580608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = -n**3 + n**2 - n - 27. Let x be h(0). Let t = -19 - x. What is the lowest common multiple of t and ((-96)\/(-14))\/(76\/40964*77)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p = 0, -423 + 3 = -4*y + 2*p. Let b be (20\/y*-3)\/(4\/(-14)). Let u = 3 + -2.7. Sort u, b, -0.1.\nAnswer: -0.1, u, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 69 + -74 + 1 + -2\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = -3*u**3 + u**2. Let n be r(-1). What is the third derivative of 2*j**4 - n*j**4 + 3*j**2 + 5*j**4 - 4*j**4 wrt j?\nAnswer: -24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000018944542 to 7 decimal places.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find y such that 3*y**3 + 7326288*y**2 + 4472918612316*y + 53673968367504 = 0.\nAnswer: -1221042, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*f + 4 - 12, -m - 4*m + 2*f + 27 = -2*m - 10 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 5 and (10\/15)\/((-13)\/(-390))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) be the third derivative of -p**5\/60 + 1350*p**2. Let b(l) = 77*l**2. Calculate k(b(u)).\nAnswer: -5929*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -143*x - 868 + 296 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 137?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 276415?\nAnswer: 5, 59, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (-8 + 4*j - 10*j + 25*j + (3*j + 0*j - 2*j)*(4 + 1 - 3))*(4 - 1 - 4)*(2*j - 6*j + 2 + 13*j).\nAnswer: -189*j**2 + 30*j + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 15453 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = -2*l - 6. Let d = -41 - -65. Suppose -5*v = -g - 10 - d, 6 = g + 3*v. What is the units digit of c(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) = -t**2 + 31*t + 6. Let x be d(31). What is the second derivative of -i**3 - 2*i**3 + 6*i**5 - 2*i + 16 + x*i**3 - 62 wrt i?\nAnswer: 120*i**3 + 18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 1\/((-1760)\/(-9316)) - 70\/14 and -31\/616.\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -135, -139, -143?\nAnswer: -147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -2 + (1 - (3 - 3 - -3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -914 to the nearest ten.\nAnswer: -910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {e: 1, t: 3, g: 1, v: 1, x: 1}. What is prob of sequence egx?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*t - 3*t = 4. Suppose t*k - 14 = k. Let f be (21\/(-9))\/((-1)\/6). What is the greatest common divisor of f and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10248919589 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 1557848*x**3 - 2*x**2 - 7*x - 3835?\nAnswer: 9347088*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -77\/195 and 57\/130.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w be -4*(-2 + 0 - -1). Suppose -n - 15 = -6*n. Suppose n*o - 6*o - 12 = 0. Sort o, w, -1 in ascending order.\nAnswer: o, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4.22276 rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {f: 4, m: 1, d: 4, p: 2}. Give prob of sequence fmff.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -274*f = -339*f - 650 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 61994126401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate 70919066 + 4471679.\nAnswer: 75390745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(136) - sqrt(136)*2)\/sqrt(8)*2 + -1*(1 + (sqrt(17)*2 - sqrt(17))**2).\nAnswer: -18 - 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c = 3079\/56718 + 4\/3151. Let w(k) be the first derivative of -2\/3*k - c*k**3 + 15 - 1\/3*k**2. Factor w(f).\nAnswer: -(f + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 101 + -38. Let d = l - 27. What is the lowest common multiple of d and ((-41)\/((-2870)\/80))\/(2\/7)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 618.0294ml in litres?\nAnswer: 0.6180294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -6164200 to the nearest 10000.\nAnswer: -6160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -1496497 rounded to the nearest one hundred thousand?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 0.235462 millimeters in kilometers?\nAnswer: 0.000000235462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = 1063*u**2. Let a(j) = -4*j**2 - 27. Calculate a(l(n)).\nAnswer: -4519876*n**4 - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate 76\/(-8) - (-84)\/(-56) - 1*8.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d = 3*z, 0 = z - 3*d + 4. Let y be -4 + 1*(z + 9). Suppose -y*n + 0*c = 5*c - 11, 5*c + 43 = 2*n. Solve 15 = n*s - 4*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1903 = -4*o - 1895. Factor 2\/3 + 2\/3*l**o + 4\/3*l.\nAnswer: 2*(l + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.04 + 0.06. Let m = -0.019976 + d. What is m rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose f + 5*u = 17, -3*f = 4*u - 6 - 12. Suppose 1 = -3*d + 2*n, d + 0*n + f*n = -3. Let g = 1\/65 + 57\/520. Which is greater: g or d?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -50 - -48. Let r be (m\/3)\/(5 + 874\/(-174)). Solve -3*t + y - 7 = -26, -5*t + r = -y for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 + 2*z - 2)*(14 + 15 - 14).\nAnswer: 30*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 - 1 - (-2 + 7 + -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put 2, 8, -4, -1 in increasing order.\nAnswer: -4, -1, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is next in -235073, -235069, -235067, -235067, -235069?\nAnswer: -235073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = r**3 + 21*r**2 + 38*r - 1. Let z be l(-19). Let w be 0 - (-2 + 12\/9). Let y = -0.4 + 0.4. Sort w, y, z.\nAnswer: z, y, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 87 divide 1914?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*u - 8*u + 240. Suppose 5*k = 4*m + 263, 5*m + u = -3*k - 290. What is the units digit of (m + -1)*3\/(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*f = 21*p - 19*p - 4, -f + 5*p = 10 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 504 is divided by 37?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.03 - 629251397358.\nAnswer: -629251397357.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand -1 + 2*h**2 + 1 + (4*h + 2*h - 4*h)*(-h - 3*h + 2*h) - 41*h**2 - 13*h**2 + 22*h**2.\nAnswer: -34*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o = -8844.024616 - -8844. Round o to 3 decimal places.\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -413355 less than or equal to -2893490\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*z - 345 = -5*z. Let j be (-1587)\/z + (-1)\/10*-2. What is the highest common factor of j and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -23*d = -15718 + 15787. Let i = -9 + 9. Sort -9, 5, i, d in descending order.\nAnswer: 5, i, d, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1.8 + -6.8. Let j = -5 - -4.08. Let m = 0.08 - j. Which is the second smallest value? (a) q (b) -2\/11 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = 57*l**3 + 7*l**2 + l - 1. Let t be d(-2). Let b = 416 + t. What is the second smallest value in -3\/5, b, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5454069 is divided by 117?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**(-2))**(7\/4)\/(d**(4\/5)\/d**8)*(d**(2\/3))**(39\/5)*(d**(-2\/5)*d*d)**(2\/17) assuming d is positive.\nAnswer: d**(309\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) be the first derivative of -59*q**3\/3 - 28. Let b(j) = -j**2. What is n(b(x))?\nAnswer: -59*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9 = -3*o, 29 = r - 4*o + 23. Let f(w) = w - w + 5 + w. Determine f(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 45 + -36. Solve -3*l = -8*l + 5*o - 15, 0 = 3*l + 4*o + g for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -2292673 by -2292673.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1059 + 138 = -7*j. Let i = -321 - j. What is the common denominator of -71\/30 and 1\/(i\/(-695)) + -4?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = 2*w**2 + 2*w + 4. Let o be d(-3). Let n = o - 8. Suppose 5*g - n = g. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 8 divide 33920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = -i**2 - 3772*i + 3768*i - i**2. Suppose j + j + 12 = 0. Let k be (6\/4)\/(3\/j). What is n(k)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c\/(c\/(c\/c**1)))**46*(c*c**(-4\/7))\/(c*c*c**5))\/((c*c**(-6)\/c*(c*c\/c**(-1\/5))\/c)\/((((c*c*(c**(-1\/4)\/c)\/c*c)\/c)\/c)\/c**(-2\/7))) assuming c is positive.\nAnswer: c**(-383\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 245657 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: What is the distance between -65566635625379 and -4?\nAnswer: 65566635625375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 28 and 497144?\nAnswer: 3480008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 1755563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {v: 2, n: 6}. What is prob of sequence vn?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 916549924.\nAnswer: 2, 229137481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = 4*c + 5. Let j(o) = o + 1. Let r = -8 + 2. Let q(w) = r*g(w) + 26*j(w). Let d = 3 + 2. Calculate q(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -344 - -112. Let q = -2086\/9 - y. Which is the third smallest value? (a) q (b) 2 (c) -2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {n: 3, l: 11, x: 4}. What is prob of sequence nxl?\nAnswer: 11\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = -18*w**3 + 81*w**2 - 544*w + 13. Let s(n) = 10*n**3 - 41*n**2 + 272*n - 7. Let q(y) = -4*j(y) - 7*s(y). List the prime factors of q(9).\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -1\/3, -1\/2, 2, -0.01, -3 in descending order.\nAnswer: 2, -0.01, -1\/3, -1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(24)\/(-5*sqrt(40)\/sqrt(5)).\nAnswer: -sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor -x**3 + 1867*x**2\/4 + 118*x - 2335\/4.\nAnswer: -(x - 467)*(x - 1)*(4*x + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in 2\/5, -1\/2, 1\/6, -246?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -119\/101456050 and 91\/182620890?\nAnswer: 913104450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -293537, -293547, -293557, -293567, -293577, -293587?\n\"Answer: -10*j - 293527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 438*s**3 + 2720*s wrt s.\nAnswer: 2628*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:50 AM and 11:30 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: (2*1\/4)\/((-230)\/575)*27\/15\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is fifty-five halves of a kilometer in meters?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u be 40\/(1 - -3)*(-6)\/(-4). What is the highest common divisor of 33 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 232 is divided by 110.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s be 2\/(-11) - (-141)\/(-11). Let q = -31 - -47. Let n = q + s. Let i(w) = 2*w**2 - 5*w + 4. Give i(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = h**3 + 7*h**2 + 10*h - 1. What is g(-7)?\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 84 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: (10 - 9) + -2 - (6 + -1)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 56472342 is divided by 9557?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l be (1 - 3*1) + (-2703)\/(-1325). Is l < -3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -38*a + 106779 + 38571 = 0. Suppose -a = -46*x + 29*x. Is x a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6 + 5 + -5 - (11 + -2 + -11).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve t - 141 = 5*m - 152, -5*m + 3 + 1 = 6*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 1826 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = -2*j**3 + 30*j**2 + 135*j - 93. Give s(18).\nAnswer: 393","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1 + 6. Suppose 5*r - 3*i - 73 = 0, 61 - 1 = 4*r - 4*i. What is the remainder when r is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) be the second derivative of -11*t**3\/6 + 3*t**2 - 201*t - 8. Give g(5).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1 - -1. Let v = 0.04 - s. Let u = -0.09 - v. Round u to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = -77*m + 8281. Calculate c(130).\nAnswer: -1729","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 47400305.313 and 124?\nAnswer: 47400181.313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 251881 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate -16758 + 1757476150.\nAnswer: 1757459392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from qckjjjcjcj. Give prob of picking 1 k and 1 q.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2 + -3 + 1 + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = 180*o**2 - 15*o - 20. Let l(c) = -90*c**2 + 9*c + 11. Let s(g) = 7*l(g) + 4*v(g). Find the second derivative of s(z) wrt z.\nAnswer: 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = f**3 - 2*f**2 - 2*f - 1. Let z be 7\/2 - (-12 - -5)\/(-14). Calculate j(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = -71412*y - 856946. Determine r(-12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let 4*p**5 - 44*p**4 + 108*p**3 - 100*p**2 + 32*p = 0. What is p?\nAnswer: 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Add together -47511 and -0.0463.\nAnswer: -47511.0463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m be -12*((-100)\/8)\/5. Suppose 22*w = -37*w + 1239. Let t = w - m. Let g(j) = -j**3 - 8*j**2 + 8*j - 10. Give g(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = -2903*i + 10. Is v(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -4943.2 - 2.215.\nAnswer: -4945.415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 103?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l - 3*l + 8 = 0. Suppose -l*p = -6*p. Solve 0*h - 3*h - 9 = p for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = r**2 - 6*r - 1. Let h(i) = 2*i**3 - i**2 - 2*i. Let u be h(2). What is the tens digit of x(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express n + n - 4 - 6*n in the form y + c*n and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*r + 4, -p - p + 5*r + 11 = 0. Suppose 5*h - 4*b - 22 = 0, 2*b = p*h + 3*b - 3. Solve -3*i + 10 = -h*j, 5*i - 4*i + 3*j = -15 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -48 or -136765\/2831?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w = -5115 + 5396. Which is smaller: 3\/8 or w?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 6*t**4 - 1483*t**3 - 27988 wrt t.\nAnswer: 24*t**3 - 4449*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is ((7\/(-3))\/((-1806)\/(-1548)))\/(2*(-2)\/74)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u = 265293\/20 + -13270. What is the common denominator of -119\/30 and u?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 5 + -88?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 859 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) be the first derivative of k**3\/3 - 3*k**2\/2 - 1. Let d be v(4). Calculate the common denominator of ((-2)\/(-30))\/(d\/654) and 23\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-12)\/18)\/((-4)\/(-18))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = m - 0*m - 2. Suppose -28 - 46 = -m*n. Suppose -2*f + 0 = -2*w + 14, 4*w - n = -5*f. What is the smallest common multiple of 14 and w?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -s**2 + 3*s**2 - s**2 + (38 + 4 + 64)*(1 + 2*s - 1)*(3*s - 4*s + 0*s).\nAnswer: -211*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u = 3.2 + -0.2. Let k = u - -1. Which is the third biggest value? (a) -2\/3 (b) 0.2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 22632184*m**2 + 2*m - 2*m - 22632184*m**2 - 1362*m**3.\nAnswer: -1362*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 66, 311, 738, 1347?\nAnswer: 2138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 3 - -6210?\nAnswer: 6213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = o**3 + 5*o**2. Let d be m(-5). Let p(n) = -2*n + 6. Let i be p(5). Sort i, 1, d in ascending order.\nAnswer: i, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*r - 76 = r. What is the greatest common factor of r and 171?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**(-8)\/u*u**1*u\/(u*u*u*u*u\/u**(2\/19))*u**4\/u)**(-1\/11) assuming u is positive.\nAnswer: u**(169\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 273168 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7\/((-196)\/16)*(-66)\/(-5610)*(-175)\/10.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gq when two letters picked without replacement from umuqquqquqmbqugxb?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -99 divided by -33?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2 - 1) + (-2 - -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*sqrt(57)*-4)\/(sqrt(30)\/sqrt(160)).\nAnswer: -32*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*l = 3*z - 4, -10*l + 7*l = 3*z - 6 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*a + 18 = 2. Let q be (a\/6)\/((8 + -3)\/(-60)). Let w = 141 - 97. What is the highest common factor of w and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (0 - -1)*(-21)\/(-3). Suppose 4*d - 4*l - 26 = 2*d, -4*l = 16. Suppose -j = s - d. Sort 5, 3, s.\nAnswer: s, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 72*f - 13*f**2 - 72*f + (-4*f + 0*f + 5*f)*(-3*f + 0*f + 2*f).\nAnswer: -14*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7 = 2*t + 3*r - 11, 2*r = -5*t + 23. Suppose 9 = 3*v, -t*a + 48 = -v - 3*v. Let i be -3*2\/(-12)*a. Solve -4*d = 5*u - 10 - 31, -2*u + i = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u + 2*u - 846 = 0. Suppose 5*q - 230 = -2*g, 4*q + 158 = 3*g - u. Calculate the remainder when g is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.1 and 445141766.\nAnswer: -44514176.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is next in 646, 1310, 1992, 2692, 3410, 4146?\nAnswer: 4900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) be the first derivative of -g**6\/105 + g**5\/70 + g**4\/42 - g**3\/21 - g + 1. Let y(w) be the first derivative of i(w). Determine d, given that y(d) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1274 is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(612) - (sqrt(612) + sqrt(612)*-1*-5)) + (sqrt(612) - (sqrt(612) + 1)*5))**2 + -4)*-5.\nAnswer: -247965 - 2700*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*z - z = 0. Suppose z = -s + 4 + 53. Let b = -39 + s. Calculate the highest common factor of b and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(21)\/(-1*sqrt(175) + sqrt(175) - sqrt(175) - sqrt(7)).\nAnswer: -sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) be the first derivative of 3*r**4\/2 + 2*r**3\/3 + r**2 - 2*r + 44. Calculate i(-2).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 117 (b) -2 (c) 2513\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y = 15 + 170. Suppose -1117 = -3*t + y. What are the prime factors of t?\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 474145950.\nAnswer: 2, 3, 5, 19, 43, 53, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round 0.455218 to 3 decimal places.\nAnswer: 0.455","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m + 2*y = -37719, -9*m - 3*y - 50293 = -13*m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} {"text":"Question: Let i = 2389 - 761. What is the hundreds digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.2 - -1.8. Let d = 1.75 - l. Let z = d - -5.25. What is the third biggest value in 1, z, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = -s**3 + 2*s**2 - 15*s + 5. Determine q(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = -19*l**3 + 6*l**2 + 1613*l + 25. Let i(o) = 18*o**3 - 7*o**2 - 1614*o - 20. Let m(w) = 5*i(w) + 4*t(w). Find the second derivative of m(n) wrt n.\nAnswer: 84*n - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((3 + -1)\/(-8))\/(48\/(-384)). Let r(i) = i + 4*i**2 + 1 - 3 - 2*i. Suppose 3*y = -7 - 8. Let k(q) = 9*q**2 - 2*q - 5. Give o*k(j) + y*r(j).\nAnswer: -2*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} {"text":"Question: What comes next: 68, 185, 372, 623, 932, 1293, 1700, 2147?\nAnswer: 2628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = 11*s**2 - 4*s - 3. Let g be (-99)\/(-11)*(-4)\/(-6). Let n be g\/(-21) + (-259)\/(-49). Let m(a) = 12*a**2 - 5*a - 4. What is n*m(u) - 6*p(u)?\nAnswer: -6*u**2 - u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d + 5*x + 5 = 0, 0*d + 4*x - 27 = -3*d. Let a(j) = 3*j**2 - 3*j - 7. Is a(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence kkk when three letters picked without replacement from {k: 4, e: 7}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 151\/37340166 and -89\/136913942?\nAnswer: 410741826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Factor -145*y**3 - 135*y**2 + 300*y - 20.\nAnswer: -5*(y - 1)*(y + 2)*(29*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1766402785.\nAnswer: 5, 7, 31, 307, 5303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -h - 4*h + 4*q + 24, 4*h + 5*q = 11. Suppose h = -j, -3*p - 5*j = -4*p + 23. Suppose -p*s - t = s - 21, -t = -s + 4. Is 2 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 6.470134 years?\nAnswer: 0.06470134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = w + 3. Let d(p) = -104*p + 10. Calculate -d(j) + 3*g(j).\nAnswer: 107*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 22075403 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 34, 321, 1100, 2617, 5118, 8849, 14056, 20985?\nAnswer: 29882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 2.854982 years to millennia.\nAnswer: 0.002854982","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -6920*n + 56 = -6906*n, 5*n + 9 = 3*u + 2 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in 0.3, -3\/5, 263\/4, -3, 3\/4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 o and 1 k when three letters picked without replacement from rkooomkkookkkkrkkykm?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 488 is divided by 60?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -7*y**3 + 13*y**3 - 8*y**3 + 4 wrt y?\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = -13*q**2. Let d(c) = 2. Let t(v) = v - 11. Let n(a) = 11*d(a) + 2*t(a). Determine n(j(p)).\nAnswer: -26*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = -4*j**3 + 8*j + 12 - 3*j**3 + 8*j**3 - 10*j**2. Suppose 4*l - 8*l + 36 = 0. Let a be g(l). Solve -2*u - a*u = -2*k - 8, -5*k - 20 = -4*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -91022.76 and -2?\nAnswer: 91020.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*d + u + 3*u = -2, 2*d + 12 = -4*u for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1.43 in -0.5, 3, -88, -1\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = 57*k**2 - 34*k - 4. Let u(x) = -65*x**2 + 34*x + 5. What is -6*u(s) - 7*v(s)?\nAnswer: -9*s**2 + 34*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express -3*a - 2*a**3 + 3*a + (-59 + 44 + 52)*((5 - 5 + a)*(-3*a**2 - 3 + 3) - 2*a**3 + 0*a**3 + a**3) in the form y*a + n*a**2 + h + w*a**3 and give w.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 34 a factor of 52\/(15\/(-6) - -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 71\/8268 and 71\/1105.\nAnswer: 702780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = 5*s**2 + 21*s + 4. Let x(j) = 11*j**2 + 42*j + 8. Let a(c) = 13*m(c) - 6*x(c). Let q be a(21). Solve q*z + 17 - 1 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n = -13 + 16 + 15. Let z(b) = b**3 + 16*b**2 - 37*b - 18. Calculate z(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-5)\/(160\/188) - -6. What is the fourth smallest value in k, -2, -1, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b = -2*b + 228. Let n = 56881\/6 + -9502. What is the common denominator of (b\/21 - 0) + -3 and n?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = 71*q**3 - 4*q**2 + 4*q + 2. Suppose 0*a - 5*a = 2*l - 14, l - 2*a + 2 = 0. Is d(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1547 is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -7 - (-5 - -4) - -4 - 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 5781 - 1596 + 3615 = -260*k for k.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l = 5*x - 11, 2*x + 22 + 24 = 4*l. Let s(u) = 3*u**2 + 5*u - 3. Let r be s(6). Suppose -a - 2*a = -r. What is the greatest common divisor of a and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (3 - (2 - -10)) + 20 + -1 + 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*q - 11*q - 4*q)*(0*q - 4*q + 2*q) - 53*q**2 - 31*q**2 + 59*q**2.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from zzewezeebezffefwze. Give prob of sequence zezw.\nAnswer: 7\/1836","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -326, -974, -1634, -2312, -3014, -3746?\n\"Answer: -c**3 - 641*c + 316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:34 AM and 8:12 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 609\/(-189) - (-4)\/18?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from koaadwaaowao. Give prob of picking 3 o and 1 k.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*q**3 - 30*q**2 - 46*q + 462.\nAnswer: -2*(q - 3)*(q + 7)*(q + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sum 7831.4037 and -18.\nAnswer: 7813.4037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -1 times -0.73\nAnswer: 0.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put 2\/15, -12\/55, -4765 in descending order.\nAnswer: 2\/15, -12\/55, -4765","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r + 19 = 9. Let j(s) = -2*s**r + 5*s + 0*s - 5*s. Let m(d) = -8*d**2. Determine m(j(g)).\nAnswer: -32*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l = -102 + 200. Let j = -78 + l. Solve 3*y - j = -8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*sqrt(224) - sqrt(350)*6)\/((sqrt(16)\/(sqrt(8) - (sqrt(8) - sqrt(72) - sqrt(8))) + -5*1*sqrt(2))*2).\nAnswer: 36*sqrt(7)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -17 + (62 - (-26 - -21)) + 20?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 k and 2 p when four letters picked without replacement from ppkkkkpkkp.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k = 26 + -21. Which is the closest to -0.1? (a) k (b) 4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 51106, 204513, 460222, 818233?\n\"Answer: 51151*f**2 - 46*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 167 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -2\/11, -2\/99, 2\/5, 5, -2\/23?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v be (0 + 2\/1)\/(9 + 27). Suppose -4*t + 6*t = -5*z - 12, t = -5*z - 11. Which is the third biggest value? (a) -0.1 (b) z (c) v (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 131, -333955, -4, 0 in descending order.\nAnswer: 131, 0, -4, -333955","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 8062 times -0.5?\nAnswer: -4031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -177711*k**2 + 254517*k?\nAnswer: -355422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f be -63 - (-6 + 2 + 1). Let j be -1 + f - (-5)\/5. List the prime factors of j\/(-8)*12\/10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 20604.\nAnswer: 2, 3, 17, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Factor -75*j**2 + 999895*j - 999820.\nAnswer: -5*(j - 1)*(15*j - 199964)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1837 and 835.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = -f**3 + 8*f**2 - 7*f. What is the remainder when j(6) is divided by (44\/(-6))\/((-22)\/33)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-15)\/(-6) + 2\/(-12). Let m = 26\/15 - n. Let v be 5\/(-2)*8\/(-50). Which is bigger: v or m?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) be the first derivative of 4*c**5\/25 - c**4\/5 - 4*c**3\/15 + 2*c**2\/5 - 1. Factor d(o).\nAnswer: 4*o*(o - 1)**2*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine z so that 7513081*z**3 + 7425369*z**2 - 87456*z + 256 = 0.\nAnswer: -1, 16\/2741","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = 5*h**2 - 4*h + 2. Suppose 0 = -2*d - d + 2*d. Suppose -5*n + 2*z + 19 = -d, -n + 1 = z. Does 8 divide t(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -5\/21 and 47\/40533304.\nAnswer: 121599912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Does 90 divide (1897 + -2)*(9\/((-45)\/(-55)) - -7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1013 - -1035. Solve 15*v + j*v - 74 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/5? (a) 1 (b) 126 (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = -5 - t + 14*t - 4*t + 26*t**3 - 25*t**3 - 7*t**2. Give q(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 202 (b) -5 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*i**3\/8 - 3*i**2 + 27*i\/8.\nAnswer: -3*i*(i - 1)*(i + 9)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g = 94429\/10 - 9434. Let b be 3 - ((-6)\/(-2) - 1). Calculate the common denominator of g and (26\/8)\/(b\/14).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of -0.1583 and -72106.665338.\nAnswer: -72106.823638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor -g**2\/4 - 57*g\/4 - 53.\nAnswer: -(g + 4)*(g + 53)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 1841173152?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*u**3 - 6942*u**2 - 4022880*u - 8018016.\nAnswer: -3*(u + 2)*(u + 1156)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 9765.235 nanometers?\nAnswer: 0.009765235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((4*(sqrt(540) + sqrt(540)*2))\/(3*sqrt(36)\/sqrt(4) + sqrt(9)))\/(-3*sqrt(108)*-2*3).\nAnswer: sqrt(5)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -156384, -309134, -461884, -614634, -767384?\n\"Answer: -152750*u - 3634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 4201, 4043, 3773, 3391, 2897, 2291?\nAnswer: 1573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 20166851\/9 less than or equal to 2240760?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y be 9\/(-36) - (-39)\/(-4). Let v = -7 - y. Find the third derivative of 6*a**v - 6*a**3 + 43*a**2 - 24*a**6 wrt a.\nAnswer: -2880*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s - 8 = -x + 4, s + 28 = 3*x. Calculate the least common multiple of -2*(-7 + 3 - x) and 2.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 2, 4, -256 in ascending order.\nAnswer: -256, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Put -0.08, 1, -5 in descending order.\nAnswer: 1, -0.08, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n = z + 16 - 52, -z + 5*n + 30 = 0. Calculate the remainder when 102 is divided by (-534)\/(-10) + (-16)\/z.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -c**3*h**2 + 6*c**3*h - 6*c**2*h**3 + 11*c*h**3 - c + h**3 wrt c.\nAnswer: -6*c*h**2 + 36*c*h - 12*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-7)\/4 - -2) + 1425\/12. Let a = -60 + t. Is a a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = -24*t - 2. Let z be p(-9). Let q = 314 - z. Does 15 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 j and 2 c when three letters picked without replacement from dljcc?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from bcukozkzukbzu. What is prob of sequence bc?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*p - 363 + 257 = -10*r + 8*r, -5*p = -5*r - 170 for p.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 597 and 1884?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 679.2736 centuries in years?\nAnswer: 67927.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Work out -72370 * -2.7.\nAnswer: 195399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j = 4*p - 24, 8*p = 2*j + 3*p + 16. Let z be j\/(-3) + (-4404)\/(-18). Suppose -159 = -3*f - 3*w, -5*f + z = 2*w - 27. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -4*t**2 - 4*t**2 + 2*t**2 + 4 in the form d + p*t + a*t**2 and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = w**3 - 3*w**2 - 3*w - 3. Let n be l(4). Let a(h) = 3*h + 1. Let t be a(1). Let j(g) = -n + t - 7 + g. Calculate j(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*t**3 - 9531*t**2 - 19053*t - 9525.\nAnswer: -3*(t + 1)**2*(t + 3175)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 86820 and 1020.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = -l**3 + l**2 + 19. Let q(n) = -13*n + 60. Let u be q(14). Let g = -117 - u. What is the remainder when d(0) is divided by g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (8\/(-6))\/(2\/(-15)). Suppose 2*v + v - 3*m = 3, -5*m = -p. Suppose -5*j + 7*y + 60 = 3*y, y = v*j - 36. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = -t. Let l be (3 - 2\/(-4))\/((-2)\/(-44)). Let c(h) = -77 - 3*h + l. Calculate p(c(u)).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i\/i**(1\/11))\/((i*(i**(-12)*i)\/i*i)\/i)*(i\/(i**(-4)\/i))**(-5\/4))**(7\/2) assuming i is positive.\nAnswer: i**(679\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -114*t = 2*t + 1392 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -830 or -15509?\nAnswer: -15509","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express (-3 + 5 - 1 + (0 - 1 + 0)*(0 - 3 + 1) - 2 - 1 + 4 - 2 + 1 + 4)*(1 - 1 + 3 - 5*v) as n*v + h and give n.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = 141*u**2 - 3*u - 47. Let v(p) = -2*p**2 - 2*p + 8. What is -6*v(x) - w(x)?\nAnswer: -129*x**2 + 15*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Are 902 and 902 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 195 a factor of 983923709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 443 minutes before 7:02 AM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Does 87 divide 4279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-3)\/(2*12\/(-1216)). Let s = 763\/5 - y. Let r = 15\/2 + -8. What is the closest to r in s, -1\/2, 0.4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7014415 to the power of 1\/3, to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*j - 95*j + 708*j.\nAnswer: 616*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y - 3*c - 99 = 0, -3*y = -3*c + c - 136. Calculate the highest common divisor of y and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1674017597 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 19 + (-31 - 38) - (-22 - -4)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1.5 + -0.5. Let j = 111.6 - 123.6. What is the biggest value in 1\/5, a, j?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = -u**2 - 8*u. Let y(d) = 3*d**2 + 17*d + 1. Let r(k) = -5*o(k) - 2*y(k). Determine r(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = 2*l. Let o(s) = s - 16406. Calculate o(b(m)).\nAnswer: 2*m - 16406","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Convert 675.6742ug to kilograms.\nAnswer: 0.0000006756742","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a be 7\/((-49)\/14) - -13773. Let t = -344229\/25 + a. What is the common denominator of -16\/35 and t?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be ((-24)\/(-30))\/(24\/10 + -2). Let y be 6 + 3\/6*-6. Suppose 5*r - 2*r + 5*v + 9 = 0, y*r - 3 = -v. Solve r*w = 4*m + 6, 2*m - l*w = -2 - 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*u = -2*d - 11*u, -2*u = 5*d. Solve 74*a - 71*a = d for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 7, -9, 2.\nAnswer: -9, 2, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort 30, 3, 10, 5 in decreasing order.\nAnswer: 30, 10, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -21.49*0.1784\nAnswer: -3.833816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = 159658*w + 3193037. Give f(-20).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Does 69 divide 1326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 133, -48, -589, -1490, -2751?\nAnswer: -4372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 33937?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*i - 3*r = -30, -22*i + 4 = -20*i + 2*r for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*s + 34 = -46. Let z = 29 + s. What is the greatest common factor of 13 and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 11 and 486.\nAnswer: 5346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1, -8, -19, -32, -47?\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -22822, -45597, -68368, -91135, -113898?\n\"Answer: 2*t**2 - 22781*t - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/16 of a millimeter in nanometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 18422?\nAnswer: 2, 61, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 49\/18 and -37\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1083764057, 1083764058, 1083764059, 1083764060, 1083764061?\nAnswer: 1083764062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 20085725?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2 - 3634*s**3 + 3633*s**3 + 2.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in 336, -145, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 12*q - 1084 + 3364. Let z be 4\/(5\/q*4). Let g be (z\/8 - -5)*36. Let a(l) = l - 2. Determine a(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is six fifths of a hour in minutes?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) be the second derivative of a**5\/20 + 3*a**4\/4 - 11*a**3\/6 - 9*a**2\/2 + a + 28. Give k(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 130 by -26.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is d6 + -783?\nAnswer: -68b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n**2\/9 - 11230884*n + 141899349849138 = 0. Calculate n.\nAnswer: 25269489","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = -c**2 + 318*c + 3323. Determine h(-10).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**(-1))**40*(k**0)**(10\/13) assuming k is positive.\nAnswer: k**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 24\/21 + (9108\/(-42))\/(-22)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 273 divided by -2231775.\nAnswer: -1\/8175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 560 + 80 = 10*b. Calculate the remainder when 125 is divided by b.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (6*(-6)\/90)\/((-1)\/(-10))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is -3\/62003 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express p**2 - 2*p**4 + 7*p**2 - p + p**2 - 1 as o*p**2 + k*p**3 + j + w*p**4 + t*p and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 42\/9*4611\/(-406)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -3 (b) 498 (c) 28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 3.33391ml in litres?\nAnswer: 0.00333391","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-10)\/2 - (-23 - 50). Suppose 0 = 4*i - 88 + y. Let t be (-137)\/(-15) - ((-440)\/75 + 6). Which is smaller: i or t?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 2460 and 4835130?\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2 + (sqrt(1872) - (sqrt(1872) + -1)) - (sqrt(1872) + (2 + sqrt(1872))**2*-5 - sqrt(1872)))*-5.\nAnswer: -46895 - 1200*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -1751026 + -15\nAnswer: -1751041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y - 3*m - 24 = y, -3*y - m = 18. Let b be -2 - (-1)\/(3\/63). Let v = 13 - b. Is y not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -160 - -88. Let u = y + 71.99941. Round u to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h + p + 26 = 4*h, -4*h + 2*p + 22 = 0. Suppose 0 = -3*b + 4*f + 7, -b + h = -2*b + 5*f. Let z(d) = 2*d - 4. What is z(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (3 - (0 - 0))*11956\/366. Solve -p + 1 = j, c*p - 93*p - 21 = -j for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + 3 + w)*(-3*w**2 + 3*w**2 + 2*w**2) + 1056*w + 49*w**3 - 1056*w + (2 - 2 + w)*(5*w**2 + w**2 + 2*w**2).\nAnswer: 59*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find d such that -d**2 - 10657*d - 12316822 = 0.\nAnswer: -9338, -1319","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 = -4*v + 78. Let j = 49 - v. Suppose -5*a + 18 = -j. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -4 by -65.\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = -2660*s**3 + 3*s**2 + 45*s + 40. Let x(f) = f**2 + 2. Let k(o) = h(o) - 3*x(o). What is the second derivative of k(n) wrt n?\nAnswer: -15960*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1021274.\nAnswer: 2, 37, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -30, -38, -38, -24, 10, 70, 162?\n\"Answer: v**3 - 2*v**2 - 9*v - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:11 AM and 10:52 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 31798067?\nAnswer: 7, 4542581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 19, 48, 79, 112, 147, 184?\n\"Answer: v**2 + 26*v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 632 and 2416?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -6792 or -20372\/3?\nAnswer: -20372\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert -1022 (base 3) to base 15.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n + 0*n + b + 6 = 0, 5*n = -3*b + 15. Let f = n - 1. Suppose f*h + 4 = -4*l, 2*h - 2*l - 4 - 10 = 0. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -754 - -797. Let m(g) be the second derivative of g**3\/6 + 23*g**2\/2 - 3*g. Calculate the remainder when b is divided by m(-14).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w\/w**(-3)*w\/((w**(-2)\/w)\/w*w))**32 assuming w is positive.\nAnswer: w**256","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l = 1.023 - 0.673. Let c = l - 0.65. Let u be (2\/(-15))\/((-2)\/(-20)). Put c, -2\/9, u in ascending order.\nAnswer: u, c, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o + 5 = 8. Let i(s) = -s + 12. Let d be i(12). Let a be 6\/(-9)*(o - d). Solve -2*y - a*y = 4*w, -5*w = -5*y + 20 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*(-1 + ((sqrt(847) + 5 + sqrt(847) + -2 - (sqrt(847) - (sqrt(847)*1 + sqrt(847) + 0)))**2 - ((-2*sqrt(847)*4)**2 + -4*(sqrt(847) + -1)**2))).\nAnswer: -440*sqrt(7) + 172740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 1 (b) 19 (c) 8 (d) 2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1100110001101 + -100?\nAnswer: -1100110010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = -z**2 + 3*z + 13. Let q be k(5). Suppose 4*w + q*b + 345 = -2*b, -2*b = -5*w - 390. Is -80 less than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d = -3*w + 17555, -3*d + 12 = -0*d. What are the prime factors of w?\nAnswer: 3, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) = -f + 1. Let d(g) = 2*g + 1. Suppose -35 = 3*v - 47. Calculate v*z(l) + d(l).\nAnswer: -2*l + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express -2*h + 18*h**3 + 10*h - 17*h**3 + 2*h**2 as d*h**2 + k*h**3 + y*h + a and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 + 18 = -4*p - 3*s, -5*s - 30 = 5*p. Is p not equal to 4\/35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -5 by 15488135.\nAnswer: -1\/3097627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-3)\/3 + 0)\/((-1)\/2). Let t = 5 + 35. Let k = -24 + t. Solve h + 2*x = 0, -d*h + 4*x - k = -0*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -21057, -42111, -63165?\nAnswer: -84219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Does 57 divide 343504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2\/14 + (-8295)\/(-245))*(-190 - -188).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*k = -k - 24. Let g(j) = 3*j. What is g(k)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2854292*b**4 - 16602*b + 7 wrt b?\nAnswer: -34251504*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -11*p = 7*p + 18 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -3 - (0\/(-4) + 14\/(-5))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j**9\/(j**(-7)*j))\/((j**(3\/4)\/j)\/j*j**(2\/15)))\/((j\/j**(-2)*j)**(-4)*j\/(j*j*j**7)*j**1) assuming j is positive.\nAnswer: j**(2347\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1584) + -1)**2 + 4 + (sqrt(11) + 0)**2.\nAnswer: -24*sqrt(11) + 1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from afannssxassanaafxxff. Give prob of sequence xs.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 2825403748?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 11, p: 2}. What is prob of picking 2 k?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -5818603, -5818601, -5818599, -5818597, -5818595, -5818593?\nAnswer: -5818591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -7*g - 5*r + 175, 3*r - 109383 = -4*g - 109283 for g.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 5\/6 (b) 0.4 (c) -5 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand ((2 + 2 - 5)*(-2 + 1 + 2) - 1 + 2 + 0 + 1 - 2 + 0 - 1 + 17 - 1)*(-w**4 + 6*w**4 - 4*w**4)*(1 - 1 + 2*w).\nAnswer: 28*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = -2*j + 6*j + 2*j - 3*j. Let l(t) be the second derivative of t**3\/2 + 2*t. What is w(l(f))?\nAnswer: 9*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = 20*a + 325. Let x be y(-15). Do x and 4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = l**2 - 4*l - 16. Let r be f(8). Find k, given that -4*k + r*k**3 - 3 + 9 - 12*k**2 - 6 = 0.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 360, -25.1, -2\/7, 0.1, 4 in descending order.\nAnswer: 360, 4, 0.1, -2\/7, -25.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s = -5.96 - -6. Let u = s - -0.16. Put u, -1, 4\/5 in descending order.\nAnswer: 4\/5, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*v - 14 = v - 2*s, -5*v - 4*s + 399 - 206 - 207 = 0 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = -h**3 + 14*h**2 - 23*h - 3. What is m(12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 73154754 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = 64*v**2 - 9*v + 23. Let u be w(5). Suppose -3*d + u = 5*g, -g - 1566 = -3*d - 2*g. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 3812454 and 12852?\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {p: 1, l: 2, s: 2, q: 8}. What is prob of picking 1 l and 1 p?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let s = -8391 + 14738. Suppose s = 4*d + 3*r - 15396, 0 = 3*r - 3. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(272)*5*4 + (2*(3 + sqrt(272)))**2.\nAnswer: 176*sqrt(17) + 1124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1743 or -1734?\nAnswer: -1743","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.9731954 minutes to milliseconds.\nAnswer: 58391.724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sum -315 and 293672.\nAnswer: 293357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/5 in 2\/9, 6, 291\/5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h - 2*u = -61432, 5*u = -22*h + 26*h - 49172. What are the prime factors of 57\/(-38)*h\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 19855 a multiple of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is -30 < -30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*w - w = -1176180. Let u = -80236 + w. Suppose 0 = -2*f + f - u. Round f to the nearest ten thousand.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-5)\/(11938\/(-24534) + (-4)\/58).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -3 divided by -21?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*n**2 + 94040*n + 564384.\nAnswer: -4*(n - 23516)*(n + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-410)\/(-1550) + (-16)\/248. Let h = -3 - 0. Which is the nearest to n? (a) -1\/3 (b) 2\/11 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -124.6 + 114. Let h = y + 30. Round h to 0 decimal places.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 0.02806 (b) 4\/7 (c) 5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = 12*x**2 + 126*x - 386. Determine w(3).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-2720)\/408)\/(12\/9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 1883561 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: c (base 14) to base 15\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) be the third derivative of m**5\/120 - 7*m**4\/48 + 5*m**3\/6 - 19*m**2. Factor u(a).\nAnswer: (a - 5)*(a - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose g - 55 = b, 0 = -g - b + 16 + 29. Let f = 30 - g. What are the prime factors of (-1)\/(-5) + (-76)\/f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {e: 4, j: 8, h: 2, z: 1, k: 1}. Give prob of sequence zk.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*i + 3*i + i)*(154*i + 443*i - 150*i).\nAnswer: 447*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor -8\/9*d**2 - 2\/9 + 10\/9*d.\nAnswer: -2*(d - 1)*(4*d - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 47103881?\nAnswer: 11, 67, 63913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-16)\/(-4) + -5)*-7. Let l = -7 + q. Is l less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) be the first derivative of c**3 + 5*c**2 + 3. Find the second derivative of z(x) wrt x.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: (-95)\/(1235\/(-78)) + -5 + 3 + -5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*m - 15, -2*i - m + 4*m - 425 = 0. Find the common denominator of -5*(-1)\/(-6) - 2 and (i\/40)\/((-24)\/9).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (0*v + 5*v - 4*v)*(5 - 2 - 1) + 0*v - 3*v + 4*v - 8*v + 17*v + 62*v as f + p*v and give p.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*q - 20 = -0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*f = 338 - 356 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -102029 times -6810?\nAnswer: 694817490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**(1\/2)\/v)**(9\/2)\/(v**(-1\/16)\/(v\/(((v*v*v**(3\/4))\/v)\/v)*v)) assuming v is positive.\nAnswer: v**(-15\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) be the first derivative of -6*i**5\/5 + i**4\/2 + 4*i**3\/3 - 20. Factor l(h).\nAnswer: -2*h**2*(h - 1)*(3*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -85 - -95. What is the greatest common divisor of 15 and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xo when two letters picked without replacement from {x: 10, i: 4, o: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express 5*m - 6*m**3 - 2 + 0*m**3 - m + 2*m**3 in the form j*m**2 + q*m**3 + g*m + o and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 0.1 - -16608098.7812\nAnswer: 16608098.8812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Are 614\/1055 and 2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x = -4.8 + 4.92. Let w = x + 1.08. Let q = 0.1 + w. Round q to zero dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -0.05 (b) -0.02 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = -370 + 190 + 3*s + 180. Let a(v) = -v**2 + 144. Determine p(a(d)).\nAnswer: -3*d**2 + 432","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 229660481?\nAnswer: 2029, 113189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) be the second derivative of -5*l**4\/6 - l**3 - 3*l**2\/2 - 5*l - 419. What is i(-4)?\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -818, -3, -31, 2 in decreasing order.\nAnswer: 2, -1, -3, -31, -818","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -100365 and -11?\nAnswer: 100354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.422 + 4.608. Let s = l - 5. Let q = s + 2.97. Put -5, q, -1\/6 in decreasing order.\nAnswer: q, -1\/6, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + (0 + sqrt(700) + 2 - sqrt(700) - (-4 + sqrt(700)*3)).\nAnswer: -30*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(175) + -2)*1*6.\nAnswer: -12 + 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 14*g + 35*g + 2574 = 148*g for g.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*u**5 + 6*u**4 + 19*u**3 + 391097*u**2 - 391097*u**2 + 2*u**2 + 2*u**5 - 2*u**2 + (u**2 - 2 + 2)*(5*u**3 - 5*u**3 + 2*u**3).\nAnswer: 6*u**5 + 6*u**4 + 19*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (-62 + (-6)\/(-126)*7)*-15 is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4 a factor of 4659286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Total of -420 and 3625.3779.\nAnswer: 3205.3779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((p*p*p**(-16\/7)*p)**7)**(1\/31))**(2\/3) assuming p is positive.\nAnswer: p**(10\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 159 and 1166324466.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 265 minutes after 10:52 PM?\nAnswer: 3:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 8084 is divided by 188?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -f + 5*m - 5 - 8, -3*f + 2*m = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 = -2*n - 4*r - 20, n + 5*r + 5 = 0. Sort -4, 2, n, 7, -3 in decreasing order.\nAnswer: 7, 2, -3, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 n and 1 h when two letters picked without replacement from hfnyy?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Subtract -1.55 from 8.\nAnswer: 9.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v\/v**3)**(-43)*v**(1\/4)*v*((v**(1\/7)\/v)\/v)\/v assuming v is positive.\nAnswer: v**(2363\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 685 + 50 = -122*p - 14 - 1813 for p.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 959556 and 312?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {v: 5, o: 3, t: 5, a: 2}. What is prob of picking 2 v and 2 t?\nAnswer: 20\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 24015, 45966, 67927, 89904, 111903, 133930, 155991, 178092?\n\"Answer: d**3 - d**2 + 21947*d + 2068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) be the third derivative of 0 - 1\/24*p**4 - 9*p**2 + 0*p + 0*p**3. Let a(c) = 22*c. Determine a(o(h)).\nAnswer: -22*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 28645763 = 388*g - 16878720 + 13805871. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n\/(n\/n**(-1\/4)))\/((n**7\/n)\/n))\/(n\/n**(-1))**(-15) assuming n is positive.\nAnswer: n**(99\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 363011.\nAnswer: 11, 61, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*((-5 + -3*(0 + sqrt(700)))*4 + 2)**2*4.\nAnswer: 17280*sqrt(7) + 404496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1608278 is divided by 3236?\nAnswer: 3222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = -2*l**2 + 9*l - 5. Let s be z(4). Let p = 48 - 23. Let k = 19 - p. Put k, s, -5 in descending order.\nAnswer: s, -5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -7\/18 and ((-195)\/24)\/((-12)\/8).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 21363 (base 7) to base 14.\nAnswer: 1d33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) be the first derivative of -v**4\/4 + 7*v**3\/3 - 2*v**2 + 8*v + 2. Give s(7).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 20 and 23742.\nAnswer: 237420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is (4\/84)\/((-23)\/69)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k = 5579 + -5590. Let y(n) = 37*n**2 - 6*n - 4. Let c(t) = 110*t**2 - 17*t - 11. Give k*y(z) + 4*c(z).\nAnswer: 33*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g = 12 - 12.038. Let o = 0.0417 + g. Round o to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 9 + -12. Calculate the common denominator of -29\/2 and -2 + (27\/12 - s).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 298, -2, -9, 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = t + 10*t - 7*t - 5*t - 7. Let v(p) = p + 6. Determine -5*n(j) - 6*v(j).\nAnswer: -j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {z: 3, h: 15}. Give prob of sequence hz.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = 85*y**3 - 144*y**2 - 1417*y + 1566. Let f(r) = -482*r**3 + 865*r**2 + 8501*r - 9394. Let g(h) = 17*b(h) + 3*f(h). Determine k, given that g(k) = 0.\nAnswer: -10, 1, 156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in -12\/43, 1\/4, 4, -7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 1636750, 3273494, 4910234, 6546970, 8183702, 9820430, 11457154?\n\"Answer: -2*u**2 + 1636750*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in three fifths of a century?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-27*h + 53*h + 16*h)*(-2 - 3*h + 2)*(-13*h**3 + 2*h**2 + 15*h**3 - 2*h**2).\nAnswer: -252*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Convert 7c (base 16) to base 2.\nAnswer: 1111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = -7*n - 10. Let j(p) = 6*p + 10. Let c(y) = -4*j(y) - 3*z(y). Let b be c(-5). Solve 0 = -h - 4*h - b for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 98 - 26. Suppose -t - 31 = z, 2*t + 6*z = 2*z - r. Let c = t + 46. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 63954 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a - 3*a + 80 = 0. Let f be (-1*1)\/((-10)\/a). Suppose -5*u + 4 = -3*n, -3*u - u = -3*n - f. Calculate the least common multiple of 4 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = -i**2 - 32*i - 201. Let a be v(-23). Suppose 5 + 11 = 4*m. Suppose -2*j - 115 = -t - a*j, 4*j + 500 = m*t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = 2*j**3 + 72*j**2 + j + 31. Determine c(-36).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Do -294 and -1\/81 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = -2077*b. Let l(z) = 5*z**2 + 474. Determine l(o(f)).\nAnswer: 21569645*f**2 + 474","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z = -3 - -3. Suppose 0*u - 5*u = z. Suppose 0 = -l - 2*a + 3 + 1, -2*a + 2 = u. Solve 4*q + 8 = -l*t, 3*q = -2*q - 5*t - 5 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be -11 - -7 - 2*-3. Suppose -s*u = u. Let b = 4 + u. Solve d - 5 = -b*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 487716?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z = -57841416.104998611 + 57841418.46. Let y = 2.355 - z. Round y to 7 decimal places.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) be the second derivative of 3\/10*k**6 + 0*k**2 + 2*k - k**3 + 0 - 3\/4*k**4 + 3\/20*k**5 + 1\/14*k**7. Determine n so that v(n) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = 76*u - 55. What is the tens digit of v(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 77457 + -36810. What is the hundreds digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = -r**3 + 2*r**2 - 4*r + 2. Let z be x(2). Let y be (-5)\/(375\/z)*-5. Which is the biggest value? (a) y (b) 3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 32552 is divided by 2170?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = -46*q**3 + q**2 - 4*q - 3. Calculate g(-1).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in thirteen quarters of a year?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**(-1\/5)\/((k*k\/(k**(1\/8)*k)*k)\/k))**(-1) assuming k is positive.\nAnswer: k**(43\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1, 12, 47, 118, 237?\nAnswer: 416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5479.\nAnswer: 5479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i be (616\/385)\/(3\/90). Solve i*j - 50*j = 3*b + 12, 0 = 5*j + 30 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 16 + -25. Let u = y + 8. Let f be 2\/(-8) - 1\/(-12). Which is the closest to u? (a) -5 (b) 1\/6 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 113366 is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 616431 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = 5*s**2. Let m(v) = -141*v**2 - 2. What is y(m(w))?\nAnswer: 99405*w**4 + 2820*w**2 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 11604 and 240.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/4 in 33\/5, -2\/49875, -0.8?\nAnswer: -2\/49875","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -4880, -9721, -14514, -19253, -23932, -28545?\n\"Answer: a**3 + 18*a**2 - 4902*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -17 in -0.24, 2, 80823?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = s**3 - 322*s**2 - 273*s - 16129. What is c(323)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 27772607 to the power of 1\/2, to the nearest integer?\nAnswer: 5270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 666, -836 in ascending order.\nAnswer: -836, -1, 666","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express -2*m - 6*m**2 + 105 + 65 - 191 as k*m**2 + i*m + f and give f.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o = -0*o - 20. Solve -o*n = 3*a + 4, -a - 2*a = -n - 8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18 = 10*b + 8. Suppose 3*v - 3*o + 8*o + 23 = 0, -5*v + o - b = 0. Let z be 0 + v + 2 + 2. Solve 5*q + 0*q + 5*p - 20 = 0, -q = -z*p + 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (-4)\/10 + 334\/10 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 3\/(9\/2)*(-3)\/2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -727*f + 18656 = -716*f. List the prime factors of f.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = l**3 - 2*l**2 - 25*l - 1. Let i be k(-4). What is the derivative of i + 0 - 15110*a + 15222*a wrt a?\nAnswer: 112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -7 + 1 + (20 - ((2 - 14) + 21))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 842106?\nAnswer: 2, 3, 140351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t = -39286 + 39293. Suppose -5*w - f = -5, -2*w + 2 + 0 = -f. Solve w = 2*z - t for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1555331 - 1555331.026302024. Let x = -0.0263 - j. What is x rounded to 7 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 1999 and -0.06.\nAnswer: -119.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -5 times -2431266?\nAnswer: 12156330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*q - 2*x = -24, -12*q + 17*q + 3*q - 36 = 2*x for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert -3 (base 14) to base 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = -11*b - 12. Is f(-5) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8314771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -3259*q - 144587 - 232170 = -129073 for q.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n = -297\/238 + 11\/7. Let y(b) be the second derivative of n*b**4 + 2\/17*b**2 + 0 + 29\/170*b**5 + 3\/85*b**6 + 5\/17*b**3 - 11*b. Solve y(a) = 0 for a.\nAnswer: -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = 24*x**2 - 22*x - 7. Let b(a) = a**2 - 1. Let i(p) = 5*b(p) - o(p). What is the second derivative of i(m) wrt m?\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 105 + (-11 - -2) - (-36 + (-13 - -67))?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -0.3 * -22\nAnswer: 6.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q be -1 - -1*11\/10. Suppose c = -4*a + 89, -6*a + 5*c = -4*a - 39. Let i = a - 23. Which is smaller: i or q?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 9354, 10348, 12006, 14328, 17314, 20964, 25278?\nAnswer: 30256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = -2*s**3 + 32*s**2 + 2*s - 7. What is the remainder when 98 is divided by n(16)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 0.18825105771491 from 4.\nAnswer: 3.81174894228509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*q - 3*l - 15 = 0, 4*l = -q + l - 15 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 3971\/2166*(-4)\/22\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) be the first derivative of -j**4\/12 + 182*j**3\/9 - 2635*j**2\/2 - 11532*j + 851. Find w, given that t(w) = 0.\nAnswer: -4, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + sqrt(300) + -4.\nAnswer: -6 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 + 8 = 81*f + 95*f. What is the third biggest value in f, 0.5, -51, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-2)\/24*-10)\/((5\/(-3))\/(-1))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 62004*j**2*s**2 + 5*j*s**2 - 7*s**2 + 2*s wrt j?\nAnswer: 124008*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c = 1042 + -989.9. Round c to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = -1261*c - 1690. Let x(z) = 2526*z + 3378. Let m(p) = -9*k(p) - 4*x(p). Find the first derivative of m(y) wrt y.\nAnswer: 1245","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.437 + 0.437. Which is the third biggest value? (a) 163 (b) -0.2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose r**5\/4 - 1885*r**4\/4 - 5205*r**3 - 17060*r**2 - 7600*r + 30336 = 0. What is r?\nAnswer: -4, 1, 1896","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = -245470*s + 13009874. Calculate g(53).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = -g**3 + 32*g**2 + 8*g - 73. Calculate the remainder when n(32) is divided by 139.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = -x. Let h(t) = 3*t + 2. Let i(p) = -h(p) - 2*s(p). Let d be i(-9). Suppose d*u + 5 = 40. Calculate the remainder when 14 is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = 2*r + 2. Let z(b) = -2*b - 7. Let a(w) = 1. Let i(h) = -6*a(h) - z(h). Let l(s) = 4*i(s) - 3*x(s). Determine l(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = -4*w + 12. Let f(i) = -i + 1. Let n(j) = b(j) - 5*f(j). Let z(m) = 2*m + 9. Let y be z(-7). What is n(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 3773 + -11278. What is the tens digit of (-3)\/2*(-5 + q\/15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t = -2*s - 3*s + 23, 0 = -s + 5. Suppose 0 = m + 4*z - 27, t*m - 4*z + 6 = -0. What is the remainder when 20 is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1385484 or -1386031?\nAnswer: -1385484","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -4\/5 (b) 5\/7 (c) -5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k = -4429 - -6337. Suppose -1910*z + k*z + 280 = 0. Calculate the remainder when z is divided by 38.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 3588, 4972, 6356, 7740?\n\"Answer: 1384*t + 2204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor b**3\/5 - 3839497*b**2\/5 + 3685432383503*b\/5 + 3685436223001\/5.\nAnswer: (b - 1919749)**2*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*n - x = -0*n - 7, 508*x = -2*n - 512*x + 1027*x - 16 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 667 minutes before 8:56 AM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -3606 divided by 6\nAnswer: -601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m = -3*m - 128. Suppose -w + 5*i + 7 = -3*w, 4*w + 4*i = 4. What is the highest common factor of m and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3 + (-112 - -28 - (3 + 7 + -6))?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is (12 - 7 - 6) + 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 0.3 (b) 38\/2163 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 0 divided by -724?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*n + 5*q = -26, -39*n - 34*n + 2*q + 20 = -77*n for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = 22*u - 222. Determine l(8).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + (-1*(sqrt(1331) + 2 + sqrt(1331)*-2))**2.\nAnswer: -44*sqrt(11) + 1337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 6826519 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = f**2 + f + 4. Let c = -10 - -7. Let i be g(c). Solve -3*v = p + i, 4*p - 22 = 3*p + 5*v for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -54*k**3 + 11*k**3 + 17*k**3 + 15*k**3 - 481 + 14*k**3 to t + j*k**3 + x*k**2 + g*k and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -4, -2\/19, -1\/90, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/2 in 3, -15, 5, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) be the second derivative of -f**4\/12 - 53*f**2\/2 + f - 24. Let s(z) be the first derivative of o(z). Let a(y) = y + 34. Give s(a(p)).\nAnswer: -2*p - 68","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Multiply -1.6742 and 1356.\nAnswer: -2270.2152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let r = -16 + 26. Let h = -11 + r. What is the smallest value in -5, h, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is db - -7?\nAnswer: e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(63)*2*5)\/(sqrt(18)\/(sqrt(2)*-1)))**2*6.\nAnswer: 4200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Does 20 divide 25130530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -51038, -102027, -153016, -204011, -255018, -306043, -357092, -408171?\nAnswer: -459286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 129 a factor of 35834963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*z + 122*z - 4 - 5 - 2 + 68*z.\nAnswer: 186*z - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Multiply -134 and -30.\nAnswer: 4020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l = 14476\/3 - 4826. Let r = 197\/3 + -65. Sort l, r, 5 in descending order.\nAnswer: 5, r, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from yddpddpyyi.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-41)\/(-4) - (-62)\/(-248). Suppose -7*m = -3*m - 4. Let f = m - -3. Solve -b = 2*t - f*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine t so that -9*t**4\/8 + 754629*t**3\/8 + 251553*t**2\/8 - 754629*t\/8 - 31443 = 0.\nAnswer: -1, -1\/3, 1, 83848","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w = 17106 + -8503. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 82602?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = m + 1. Let s(o) = -o**3 - 3*o**2 - o - 2. Let y be s(m). Let n = y + 10. Solve -2*r = 4*l + n, -3*r = -2*l - 0 + 9 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 913, 1816, 2717, 3616, 4513, 5408?\n\"Answer: -p**2 + 906*p + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from djjdjjj. Give prob of sequence ddj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 15, -33, -133, -285?\nAnswer: -489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 3128 and 2998188?\nAnswer: 1564","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Does 2 divide 2951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 1591, 3185, 4809, 6475, 8195, 9981, 11845, 13799?\n\"Answer: 2*f**3 + 3*f**2 + 1571*f + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 320.431 rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -2\/493 (b) -985 (c) 1\/9 (d) 76\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (7*g**2 + 3*g**2 - 2*g**2)*(189 + 184 - 369).\nAnswer: 32*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -42*l**2 - 41*l**2 - 10*l**2 + 30*l**2 to the form d*l**2 + v + j*l and give d.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Total of 9554.1 and 2540.51.\nAnswer: 12094.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {f: 1, r: 5, o: 3}. Give prob of picking 3 r and 1 o.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 24844157 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of -3*(1040\/(-90) + 2\/9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.5 + 12841.\nAnswer: 12840.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 67940890 rounded to the nearest one million?\nAnswer: 68000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -29*m = -32*m + 10302. Suppose -5*z + 4*n = -17161, n - m = -z - 0*n. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.33252905 + 0.68252827. Let t = -0.35 + p. Round t to 7 dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((2*a - 2*a - 2*a)*(-3 - 2*a + 3) - 1 + a**2 + 1 + 0*a**2 - 2*a**2 + 0*a**2)*(33*a**3 + 71*a**3 - 31*a**3).\nAnswer: 219*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*sqrt(76)*-4 - (4*sqrt(76)*1 + sqrt(76)))\/(sqrt(4) + -1*sqrt(484) + sqrt(4)*-1*3).\nAnswer: sqrt(19)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 43898064 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 1209618863 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-3)\/6 + 20\/8. Find the first derivative of 16*m**4 + 7*m**2 - 17*m**4 - 7*m**g - 6 wrt m.\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1858.5 times -0.75?\nAnswer: 1393.875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = -c**2 + 7*c - 5. Calculate s(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 114403 (base 5) in base 14?\nAnswer: 182d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = 3*u + 24. Let y be b(-13). Let v be -5 + y*(-4)\/3. Let z(w) = 2*w - 22. Let t be z(v). Solve t*r - 12 = 12*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -1 - -1d9b?\nAnswer: 1d9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 3667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = -q + 7. Let g be x(0). Let b = g + -6. Is 0 less than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.3 less than -29.7198?\nAnswer: -29.4198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) be the first derivative of -1 - 2\/3*k**3 - 1\/2*k**2 + 0*k. What is the second derivative of r(f) wrt f?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 35 - 42. Let c(d) = -d**3 - 6*d**2 + 8*d + 9. Determine c(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 0.307 from -1582438.\nAnswer: -1582438.307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k = 2\/33 - -25\/132. Let m = 2.4 + -7.8. Let b = -5 - m. Sort k, b, 2\/3 in increasing order.\nAnswer: k, b, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.363586 + 141\nAnswer: 140.636414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.074 + 0.574. Suppose 0 = -3*x + 12 - 3. Suppose 3*h - 4*o - 9 = 4*h, 4*o - 11 = x*h. Which is the closest to 1? (a) -1\/4 (b) p (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*x - 16 - 8. Is ((-2)\/x)\/((-5)\/(-150)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = -j. Let o be l(-2). Let v(w) = w**2 + 7*w + 12. Let q be v(-3). Suppose -o*y - 395 + 1053 = q. Is y a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose i - 24*i + 253 = 0. Let y = i + 34. What is the highest common factor of y and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11652240 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Subtract -834 from 3.\nAnswer: 837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -617107, -617117, -617143, -617191, -617267, -617377?\nAnswer: -617527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 q and 1 e when two letters picked without replacement from {e: 4, q: 3}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence cs when two letters picked without replacement from {s: 3, c: 6, v: 1, o: 2}.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express (j + 2*j - 2*j + (0 - 3 + 2)*(-2*j - 4*j + 5*j) - 32*j + 35*j + 54*j)*(-3 + 3 + 2*j) as q*j + l + n*j**2 and give n.\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c = 9 - 0. Solve 4*b + 5 = c*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0027003816 rounded to 6 decimal places?\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is (-1)\/((-3)\/21*((-1254)\/33)\/(-342))?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 21 divided by 17\nAnswer: 21\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 449 * -104696\nAnswer: -47008504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 360227001.\nAnswer: 3, 173, 694079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = g - 4. Let z(o) = 2*o - o**3 - 3 - 2*o**2 - 4*o**2 + 6 + 3. Let l be z(-6). Let p(r) = r - 5. Determine l*f(h) + 5*p(h).\nAnswer: -h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 2 divided by -864658\nAnswer: -1\/432329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 8 a factor of 3211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -18628*r - 17131*r + 38577*r.\nAnswer: 2818*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-36)\/(-15))\/(-3*1\/(-20)). Suppose v = 2*o - 32. What is the highest common divisor of 8 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -20 - 11020?\nAnswer: -11100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is next in -67636, -67641, -67656, -67687, -67740, -67821, -67936, -68091?\nAnswer: -68292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) be the third derivative of -611*h**6\/24 - 191*h**5\/4 - 1695*h**2. Find the third derivative of r(z) wrt z.\nAnswer: -18330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in twenty-seven fifths of a microgram?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.04 + -4.96. Let v = 5.0296 + -0.0296. What is the second biggest value in v, -2, f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -836*n + 836*n - q + 0*q - 44 = 0, 19*n = -2*q - 88 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 14710173?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 4057909588 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.1 + -0.2. Let c(w) = 3*w + 2. Let x be c(-2). What is the second smallest value in x, -3, m?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 61, 95, 117, 121, 101, 51, -35?\nAnswer: -163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -60669 or -60671?\nAnswer: -60671","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 140444641 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x be 40\/2 + -2 + (-19 - -21). Solve 0 = -5*z + x - 10 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify h**(5\/7)*h**(-1\/18) assuming h is positive.\nAnswer: h**(83\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*z**2 + 940076*z + 110467860722.\nAnswer: 2*(z + 235019)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s**5\/13 + 2*s**4 + 1312*s**3\/13 - 552*s**2 - 47520*s\/13 = 0. Calculate s.\nAnswer: -22, -4, 0, 9, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 310919?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 13*h**2*n**4 - 3*h**2 - 2*h*n**3 + 2*h*n**2 - 77*n**4 + 53*n - 1 wrt n?\nAnswer: 312*h**2*n - 12*h - 1848*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1549 in -0.1, 1\/5, -1, 0.3, 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -2 - 1767466?\nAnswer: -1767470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*s - 5 = 6*s. Let n = s + 6. What is the greatest common factor of 8 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 39\/64 and 23\/64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = c**2 + c. Let r(o) = 7*o**2 + 4*o + 4. What is -r(z) + 4*v(z)?\nAnswer: -3*z**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Put -1, -20, -7, -506 in descending order.\nAnswer: -1, -7, -20, -506","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -300304*x**2 - 300311*x**2 - 300336*x**2 + 901002*x**2.\nAnswer: 51*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 144*d = 158*d - 56. Solve 5*n - 5*o - 10 = -0*o, -d*n + 5*o + 10 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 46 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 7*r**3 + 18*r + 71 wrt r?\nAnswer: 21*r**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 24 and 732.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Subtract 0.02004 from 0.247.\nAnswer: 0.22696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = 4*g - 6. Let d be c(2). Let n(z) = -5*z**3 - 2*z**2 + 1. Suppose -2 = 2*u - 2*j, 2*u + 0*u = -2*j - 2. Let o be n(u). Solve 10 = d*f - o*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (25 - 40 - 39)*(a**5 - 3*a**5 + 4*a**5).\nAnswer: -108*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find r, given that 4*r**3\/7 - 2*r**2\/7 - 10*r\/7 - 4\/7 = 0.\nAnswer: -1, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n = 3 - 9. Suppose -4*y + 251 + 77 = 4*m, 3*m - n*y - 276 = 0. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 23165446 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 the common denominator of ((-74)\/94)\/((-4230)\/940) and 50\/141?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) be the first derivative of -216*v**4 + 2*v**3\/3 + v**2 + 20. Let a be u(2). Round a to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -2220022100222 (base 3) to base 12.\nAnswer: -623bbb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1989949 is divided by 387?\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 31\/5615 and 88\/13305?\nAnswer: 14941515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = -16*f. Let r(p) = 3526*p**2 + 2706*p. Let c(w) = -47*w**2 - 36*w. Let n(m) = 451*c(m) + 6*r(m). Calculate l(n(i)).\nAnswer: 656*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence eefk when four letters picked without replacement from {e: 5, k: 1, f: 3, b: 6}.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 360 minutes before 9:25 PM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-22)\/144 + (-76)\/342.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 107.799 + 0.201. Let r = 108.1 - f. Let x = 0.02 - 0.12. What is the nearest to x in 2, -3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 746?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g = -5.3769967674 + 5.377. What is g rounded to seven decimal places?\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1752 and 60663.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = z**3 + z + 5. Let x be b(0). Let h = x - -4. Calculate the remainder when 25 is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-2)\/(-156))\/(2089\/6267).\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x - d = 1644, -5*x - 4*d - 887 = 1860. What is the remainder when x\/(-9) + (-16)\/9 + 2 is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (24\/(-396))\/((-7)\/(252\/8)).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ooofffo. Give prob of sequence ff.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is (42\/15 + -3)\/(-3 - -2)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 18329 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round 0.05191331 to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h = 152 - 307\/2. Let i = -203 + 207.95. Let y = 0.05 + i. What is the second biggest value in h, -1\/4, y?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (3 - 76\/24)*(-1)\/(-1). Which is the closest to h? (a) -3 (b) 3 (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y + 0*a = -3*a - 24, -2*y + 13 = -a. Suppose 3*o = -o + 4. Suppose -k + j + o = 0, 2*j = -3*j. Solve 0 = -4*s - 4*x + 4, 0*s + 3*x = -y*s - k for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3136*s + 1566*s - 7*s**2 + 1570*s.\nAnswer: -7*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 630 minutes before 3:00 PM?\nAnswer: 4:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*m**2 + 8*m**3 - 4*m**2 - 10*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in 0.61, 333, 2\/7, -3, 4, 0.3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i = 9.4 - -0.6. Let n = -10 + 5. Let r = n + i. Which is the nearest to 0? (a) 1\/5 (b) -1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = -22*b + 2. What is j(2)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1 + 10 - (13 - 4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*r - 2*i - 435, 6*r - 4*i - 247 = 3*r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l + 5*l + 22 = -2*m, 3*m + l = -40. Which is the fourth biggest value? (a) m (b) 1\/5 (c) 5 (d) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 25 minutes after 2:41 AM?\nAnswer: 3:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -187, -341, -505, -685, -887, -1117, -1381, -1685?\n\"Answer: -j**3 + j**2 - 150*j - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -541*a**3 - 530*a**3 - 634*a**3 + 1759*a**3.\nAnswer: 54*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (17 - -2) + (-120 - -79)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -10 * -9\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m be 0 - (-2)\/(-20) - 2\/(-20). Let j = 1537\/3 + -500. Is j at most as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3470 to the power of 1\/2, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-27)\/6*(-12)\/(-90)*-5. Find the third derivative of -4652*p**i - 161*p**2 + 2327*p**3 + 2325*p**3 + 94*p**4 wrt p.\nAnswer: 2256*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (7205\/(-524))\/(((-9)\/744)\/3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -p + 4*p + 14 = 4*x, -5*x = -3*p - 16 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of f**2 + 368*f*q**2 - 2*f*q - 1920*q**2 wrt f?\nAnswer: 2*f + 368*q**2 - 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -579, -1512, -3035, -5148?\nAnswer: -7851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Does 1\/16917618 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u = -17.615 + -0.385. What is the nearest to 2 in -2\/3, -0.5, u?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = -d**2 + 1 + 2*d - 6*d - 4*d - 6. What are the prime factors of x(-5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from cmcmmmm. What is prob of sequence cmm?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-18)\/1*(-3156)\/7101*(7*-3)\/3?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = -14*i - 13. Let u be o(6). Let p = 99 + u. Solve 14 = -2*v + 3*x, 4*v + 4*x = p - 10 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 15 divide 11055?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: (4\/(-8))\/(9\/54)*(-360)\/(-27)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Add together -39705334301 and -18.\nAnswer: -39705334319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate (7 - 1)*5\/10.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = c - 30. What are the prime factors of c?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (3\/12)\/((-1)\/(-4)). Let d be 26 - (-1 + 0 + z). Suppose -k + 5*a = 1 - 3, 3*k = -5*a + d. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -210 = -8*r + 22*r. Is (-6)\/r - 11\/(110\/(-6846)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from nendnne. What is prob of picking 1 n and 1 d?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 34757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*s = 45*s + 19*s - 7094951. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-11)\/(693\/12)*7\/6.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 3 + (-5 - -21) - (8 - 1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*x - 412*a = -410*a + 16 - 0, -5*a = x - 14 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -129\/8, 2\/5, -3, -3.41, 40?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 127689875 and -0.06?\nAnswer: 127689875.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let 2*m**5\/3 + 10484*m**4\/3 - 3496*m**3 - 10484*m**2\/3 + 10486*m\/3 = 0. What is m?\nAnswer: -5243, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) be the first derivative of -c**7\/560 + c**6\/320 + c**5\/40 - c**4\/16 - 5*c**2 + 14. Let v(u) be the second derivative of q(u). Factor v(k).\nAnswer: -3*k*(k - 2)*(k - 1)*(k + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**(-1\/12)*w)\/(w\/(w**(1\/2)*w))*(w**(2\/7)*w)**(-1\/44) assuming w is positive.\nAnswer: w**(641\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 0, -5, -8, -2 in descending order.\nAnswer: 0, -1, -2, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2130 is divided by 521?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3494?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort 29, 5, 4, 36, -6 in descending order.\nAnswer: 36, 29, 5, 4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -0.07 times -301\nAnswer: 21.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 18503 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = 4*t - 1. Let d(i) = -i. Let u = 0 + 4. Suppose 0*l = u*l - 4. Let x(a) = 2*a**2 - 1. Let k be x(l). Determine k*q(v) + 3*d(v).\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2205.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 14? (a) 0.4 (b) -2.1 (c) -396\/17 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 13.4555 at most -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m + 42 = 5*w, 6*m - m = -3*w + 67. Suppose -5*s - 6 = 4*a, -3*a - 1 - m = 0. Suppose s*n + 2*n = 28. Is n a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 1 + -7. Let o(h) = -9*h + 6. Let x be o(m). Let q be (-81)\/x - 1\/4. What is the second biggest value in 5, -2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.2 and 8935954.6?\nAnswer: 1787190.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -4064 - 4900 = -1210*r - 494 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0003404 rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -53\/30114 and 36\/194896135.\nAnswer: 3508130430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) be the first derivative of g**6\/360 + g**5\/10 + g**4\/12 + 4*g**3 - 9. Let k(a) be the third derivative of h(a). Is k(-15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} {"text":"Question: Let i(s) = 4*s**2 + 19*s + 1. Let t be i(-5). Suppose t*z = -5*g + 7*z - 578, g + 121 = 2*z. Let b = 139 + g. Is b a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (12\/(-8))\/((-6)\/(-20)*1) - -242194 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: (-2 - 7) + 7 + (-3 + -2 - -3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 210233 (base 4) in base 9?\nAnswer: 3202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q = -488 - -488.578. What is q rounded to two dps?\nAnswer: 0.58","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*m - 16 - 2. Let p be 2\/m - (-133)\/9. Let k = 22 - 20. Solve -p = 6*u - 3*u, k*q = 2*u for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -59093 - -58562.19. Round b to the nearest ten.\nAnswer: -530","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4486 a factor of 405713840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v*v**28)\/(v\/(v**12\/v))*v*v\/(v**(2\/11)*v*v)*v*v**(-37)\/v assuming v is positive.\nAnswer: v**(20\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 1002110121102 (base 3) to base 10\nAnswer: 579998","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0021498624 to seven dps.\nAnswer: -0.0021499","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor 28*z**4 + 531*z**3 + 485*z**2 - 18*z.\nAnswer: z*(z + 1)*(z + 18)*(28*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 19358657?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m = 41478 - 40257. What is the highest common divisor of 924 and m?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 65104, 260468, 586094, 1041982, 1628132, 2344544?\nAnswer: 3191218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Factor o**2\/6 + 16625*o\/2 - 99758\/3.\nAnswer: (o - 4)*(o + 49879)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 5 + -263?\nAnswer: -255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 18741 and 206151.\nAnswer: 206151","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = -r**3 - 5*r**2 - 2*r - 10. Let v be d(-5). Suppose v = -6*w + w + 265. Is w a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3632 + 3632 + 80*r to h*r + j and give h.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -3, -114147, -1.\nAnswer: -114147, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 355 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: Let x = -2\/763 + 3062\/3815. Let u = 2033\/3570 - -1\/510. Which is the closest to x? (a) -4 (b) -1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 817.1466 months?\nAnswer: 0.6809555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide 96 by -1489.\nAnswer: -96\/1489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j = -39 + 39. Suppose -3*f + 2*f + t = 0, j = -f + 2*t - 5. Solve f*m - 14 = 6 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -30 + 69. Suppose 0*p + l = -2*p - 15, 4*p + 5*l = -a. What are the prime factors of -6*(3 + 45\/p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 2 divide 22403918?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.799078 * -4.\nAnswer: -3.196312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-3120)\/(-17550)*((-9)\/4)\/(-3)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is -38 at most as big as -2.536184?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 97\/58 and 83\/188.\nAnswer: 5452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 103*z - 8767 + 13711 = 0 for z.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a = -13 + 8.7. Let x = a - -1.3. What is the closest to 1 in -4, 2, x?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 4*j + 1 - 2)*(2 - 5 - 84)*(-2*j**4 + 6*j**4 - 2*j**4).\nAnswer: -696*j**5 + 174*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Convert 45a04 (base 11) to base 5.\nAnswer: 4111213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -1, 98, 281, 566, 971?\n\"Answer: 3*a**3 + 24*a**2 + 6*a - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Multiply -32 and -32820.\nAnswer: 1050240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 321 minutes after 12:49 PM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 297532 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort 4\/9, 0.04, -3\/4, -2.\nAnswer: -2, -3\/4, 0.04, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from knzkzzkzzzkzzzkzz. Give prob of sequence nk.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand -x**3 + 2 - 2 + (-x**2 + x**2 - 2*x**3)*(3 - 2 + 0) + 5 - 5 + x**3 + (2*x**3 + 1 - 1)*(1 - 3 + 1).\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (54\/(-27))\/(7*1)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 9\/3 + (-6526)\/(2 + -1). Let j = g + 9366. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 203*q + 24323 + 12426 = 1439*q + 9557 for q.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from couxuuxxpo. What is prob of picking 1 x and 1 p?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = -643*j + 202. What is n(1)?\nAnswer: -441","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*b = 2*b - 4*y + 9, b - 38 = 3*b - 2*y - 46 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = f**3 - 42*f**2 - 10*f - 1409. What is c(43)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 44004 is divided by 202.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (716\/(-64) - -11) + 4 + 594\/96 + -116?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1688 - 2442245655.\nAnswer: -2442243967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 105873 is divided by 2465?\nAnswer: 2343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t = 41 - 18. Is t a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -10 + 95. Let k = -341\/4 + n. Let o = 57 - 58. Which is the nearest to k? (a) o (b) -4 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*w - 3*u = -4*w + 15, 2*w = u + 5 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) be the first derivative of -h**6\/6 + 121*h**4\/4 - 33*h**2\/2 - 52*h + 3237. What is the second derivative of n(p) wrt p?\nAnswer: -20*p**3 + 726*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.377131 to two decimal places.\nAnswer: -0.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 705933?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 w and 2 n when four letters picked without replacement from {w: 2, v: 2, n: 6, d: 3}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/13? (a) 19 (b) 2\/3 (c) 4 (d) -679 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:05 AM and 4:59 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ttw when three letters picked without replacement from twrto.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 170 + (-2 - (3 - 2))?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -11 - -7. Let d = n + 7. Suppose -2*g + 10 = d*g. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0 + 0. Let f(u) be the second derivative of u**4\/12 - 11*u**3\/6 + 2*u**2 + 2*u. Let w be f(11). Solve 3*h - 3*s = -h - 9, p = -w*h - 4*s + 12 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -6*p - 8*p + 14 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*b = 65*m - 68*m - 8, 9*m - 3*b - 6 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 819147 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Work out 26.42 - -3525.\nAnswer: 3551.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = l**2 + 2*l. Let s be j(-1). Let k(n) = n + 1. Let b be k(s). Suppose 2*v - 23 = -u + v, b = -5*u + 4*v + 124. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.9317631 days to hours.\nAnswer: 22.3623144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = -1 - 3 + g + 2 - 2. Let y(s) = -s + 9. Let b be y(6). Let j be u(b). Which is greater: 1\/114 or j?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 47 - 15*h + 40 - 4*h - 137 + 47 - 3*h.\nAnswer: -22*h - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Subtract -0.314 from -13809.\nAnswer: -13808.686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -63883751 - 0.5171\nAnswer: -63883751.5171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 15\/4 of a century in months?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = -1385992*d + 40. Let i be h(-5). What is i rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -14\/13*w + 120\/13*w**2 - 2\/13 = 0.\nAnswer: -1\/12, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -6\/19777 (b) -15 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) = -3172*l - 244226. Give y(-77).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 31281996 is divided by 2000.\nAnswer: 1996","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = 3*q**2 + 154*q - 63. What is the remainder when l(-52) is divided by 18?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 285 + -285. Suppose i = -y + 1 + 14. Solve 0 = f - 3*f - 3*m - y, -m = 5*f + 18 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.0712 in -3, 5, -0.14, 26?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 26532083?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5326680.\nAnswer: 2, 3, 5, 44389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v = 6 - 3. Suppose -2*u - 11 = -15. Let r be u\/(-5) + 70\/175. What is the nearest to r in -0.4, -0.3, v?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*c**2 + 2*c**2 - 2*c + 2*c**2)*(3 + 2 - 2)*(-19 - 5 - 19) - 6*c**2 + 3*c**2 + 2*c**2.\nAnswer: 128*c**2 + 258*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -2100000 rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j = 499.5 - 500. Let k = 1 - 1. Let r = 0.1 - 3.1. What is the closest to 2\/9 in k, j, r?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -47*r**2 - 120*r**2 + 35*r**2 + 12*r - 20 + 128.\nAnswer: -132*r**2 + 12*r + 108","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 25261 is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = -2*l**3 + 21*l**2 - 27*l + 1. Give w(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2*4291.\nAnswer: -8582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find d, given that -2*d**3\/3 + 69614*d**2\/3 - 20474320*d\/3 + 1511857888\/3 = 0.\nAnswer: 148, 34511","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 13939044 or 69695216\/5?\nAnswer: 13939044","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = 3*s**2 - 2*s**2 + 0*s**2. Let g(p) = 14*p - 34*p + 20*p - 2*p**2. What is i(g(d))?\nAnswer: 4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = -6902*b**2 + 13790*b**2 - 6899*b**2. Let h(y) = 51*y. Determine o(h(a)).\nAnswer: -28611*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express -34 + 1 + 142*i + 139*i - 282*i as j*i + a and give a.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h = -20.4 + 23. Let d = -0.1 + h. Let f = d - 3. Which is the smallest value? (a) -2 (b) 4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -59310*u + 1764*u - 27458*u.\nAnswer: -85004*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 24896 is divided by 73?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = -13*w**2 + 8*w - 6. Let d(p) = -14*p**2 + 9*p - 7. Let g(n) = -7*a(n) + 6*d(n). What is the second derivative of g(k) wrt k?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 54 and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: ((-5 - (-36)\/(-27)) + 7)*-1\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) 701 (b) 2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q = -451 + 594. Calculate the lowest common multiple of 26 and q.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = -z**2 - 2*z + 4. Let q = -10 + 7. Calculate n(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 29581, 3.\nAnswer: 0, 3, 29581","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -137.2154 rounded to the nearest 10?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = -14*r**3 - 15*r**3 - 10*r - 9*r**3 + 8*r**2 + 18 + 39*r**3. Let c be l(-8). Suppose 77 - c = -3*n. What is the greatest common divisor of 21 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 47*c - 49*c - 10 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: (-3)\/(-3)*(-117)\/(195\/15)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = i + 2*i**3 - 3*i**3 - 3*i**2 + 2*i**2. Let j(u) = 4*u**3 + 5*u**2 - 5*u + 3. Suppose -5*n = 3*l - 25, l - n = 25 - 38. What is l*t(x) - j(x)?\nAnswer: x**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 101010001110111101111 - 0?\nAnswer: 101010001110111101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let b = -246 + 400. What is the greatest common factor of 22 and b?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 17586.\nAnswer: 2, 3, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth smallest value in -569, -2, -0.4, 2, -4, 3.1?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 61.6079 centimeters?\nAnswer: 616079","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 + -2 - (6 + -12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -701*z + 17256 = 737*z for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 201941587?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = -y**2 - 13*y - 34. Let s be 9\/15*(-28 - -13). Let q be t(s). Solve -w - q = -2*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine z, given that 2*z**2\/15 - 691894*z\/15 - 15226508\/3 = 0.\nAnswer: -110, 346057","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = 9*d + 1. Give x(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert 1.931179 litres to millilitres.\nAnswer: 1931.179","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange ((n**2 - 2*n**2 - n**2)*(3 - 1 + 1) + 2*n**2 + 3*n - 3*n)*(37 - 5*n + 10 + 22 - 142) to the form x + w*n**2 + h*n + p*n**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l = -3 + 25. What is the lowest common multiple of l and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 5\/2 or 47?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (12\/(-15)*1)\/(30\/(-75))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-2)\/3 + 7118\/12. Let w = -575 + i. Calculate the common denominator of w and 71\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y - 12 = 3*g + 3, 2*y + 15 = -3*g. Let j be 3\/g - (43320\/(-25))\/8. Is 216 less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1 - -2 - (52 + 5940\/(-120)))*172?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 28*x - 32*x = -16. Suppose -k - 5 = 0, 22*g - 21*g = x*k + 14. Let n(y) = -2 + 5*y + 2*y**2 - 2*y**2 + y**2. Calculate n(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -27, -54, -81, -108?\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: (4 - -2) + -4 + -4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v be 1\/(65\/(-15) - -4). Let n be (-25)\/(-50)*(-2)\/(-1)*v. Let l be ((-267)\/(-54) + -5)\/(n\/(-30)). Which is smaller: -0.1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 4\/16 + 1\/(-4). Let s = 2 - m. Let n = 2 + s. Solve 0 = 5*t + 5*f + 5, n*t - 3*f = -8*f - 2 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 40187 + -21460. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) be the first derivative of 0*j**4 + 0*j - 36\/5*j**5 + 0*j**2 + 7\/3*j**3 - 9. What is the third derivative of u(w) wrt w?\nAnswer: -864*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in -4\/5, -0.1, -4188.74, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 96 = 4*f - 2*l, 4*f + f = 3*l + 122. Let k be (-1 - 26\/(-14))\/(f\/462). What is the greatest common factor of 90 and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 5.2 and 1.259.\nAnswer: 6.5468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 19915.63 take away 17.7?\nAnswer: 19897.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 103119?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4 + (sqrt(1700) - (sqrt(1700) + sqrt(1700)*-1))*1 - (2*(sqrt(1700) + 0) + -1)**2)*-2*2.\nAnswer: -200*sqrt(17) + 27220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v = 2.3 - 2.1. Which is the nearest to v? (a) 2 (b) 3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b*b**(-18))\/(b*((b*b*b*b*b\/(b*b*(b\/b**9)\/b*b)*b)\/b*b)\/b)*b**(1\/20)\/(b\/(b\/(b**(-3)*b))))**(-37) assuming b is positive.\nAnswer: b**(19943\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*((0 + 1 + sqrt(228)\/sqrt(12) + sqrt(19))*2)**2.\nAnswer: 96*sqrt(19) + 1848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 5\/3 (b) -0.4 (c) 184 (d) -1071\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c*c**(-1)*c*c)**(-2\/79)\/((c**(1\/2)\/c*c)\/(c*c**(-2\/23))))**29 assuming c is positive.\nAnswer: c**(38193\/3634)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -43644, -351061, -1185470, -2810367, -5489248?\n\"Answer: -43916*q**3 - 5*q + 277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-3 + 3 + 2)*(0 + 3 - 5) + 3 + 1 + 0 + 2 + 0 - 4 + (-3 + 0 + 5)*(3 + 1 - 2) + 0 + 4 - 3)*(-13*b - 21*b + 15*b).\nAnswer: -57*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -3, 35, 99, 189?\n\"Answer: 13*n**2 - n - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 7734875195?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p = -4 + 7. Suppose -p*w - 3 = 4*n - 20, 2*n + 5*w = 5. Let b be -1*(-5)\/(n\/9). Solve 5*i - b = 11 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 5035 + 1?\nAnswer: 5036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o = o - 32. Calculate the greatest common factor of 48 and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (164\/(-5))\/((-12)\/(-30)). Let f = -84 - z. Is (131*1)\/(f\/(-2) - 0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) be the third derivative of j**4\/8 + 2*j**2 + 19*j. Let v(r) = 2*r**2 - r. What is v(m(w))?\nAnswer: 18*w**2 - 3*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00000684782 rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -1602276 rounded to the nearest 100000?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*t - h + 5*h - 9, -2*t - 6 = -5*h. Let z = 23 - 12. Which is the second smallest value? (a) t (b) 3 (c) z (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -281, -1270, -2915, -5216, -8173, -11786, -16055?\nAnswer: -20980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is (39536\/(-4416) - -8) + (-305)\/(-3660)?\nAnswer: -20\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-1480)\/222)\/(15\/(-18))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 376 (base 12) in base 2?\nAnswer: 1000001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose x = 2*s + 2*s - 19, 4*s = -3*x + 7. Suppose 3*l - s = l. What is the units digit of 0 + l*(-1 + 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = -g**2 + 7*g - 9. Let f be q(5). Which is the biggest value? (a) -3 (b) f (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c - 2*v - 8 = 0, c - 5*v + 8 = -2. Let r(q) = -18*q + 10. Let k be r(c). Calculate the highest common factor of 25 and k.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 15950 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/997 in 1, -28, 10.8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate (10 - 0 - (-9 + 13)) + 1 - -12.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 866930 rounded to the nearest ten thousand?\nAnswer: 870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1989165?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p = 4341 + -4344. Which is the second smallest value? (a) -2 (b) 28\/3 (c) 7 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1122.1 - -1122.5. Let d = 1.5 + -1. Which is the closest to 1? (a) i (b) d (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -152 + 154. Suppose -8*t = -j*t - 7554. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -366859 by 1.\nAnswer: -366859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Put 77, -4, -1, -30, 5 in descending order.\nAnswer: 77, 5, -1, -4, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round 11301751.69 to the nearest one thousand.\nAnswer: 11302000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (-q**2 - 2*q**2 + 5*q**2)*(-5*q - 65 + 65) - q**3 - q**2 + q**2 + (9*q**2 - 4*q**2 + 20*q**2)*(2 - q - 2).\nAnswer: -36*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 56346 to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) be the second derivative of 3*u**4\/8 - 2*u**3\/3 - 33*u**2\/2 - 147*u. Let v(f) be the first derivative of y(f). Determine v(3).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -478, -485, -482, -463, -422, -353?\nAnswer: -250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -65 - 3?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 144990 - 144966 = -4*v, -5*v - 36 = -3*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = 3*d**2 + 40*d. Let t be h(-14). Suppose -7*k + 14 + t = 0. Solve 9 = -3*m - k for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 18 - 16. Let j be ((-16)\/(-10))\/(l\/170). Calculate the remainder when 65 is divided by 1\/(((-4)\/j)\/(-1)).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (2*q - q + 0*q)*(q**2 - q**2 + q**2) - 4*q**3 + 3*q**3 + 3*q**3 + 8*q**3 + 5*q**3 - 4*q**3 in the form o*q**2 + t + z*q + w*q**3 and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate 65600136 divided by 5.\nAnswer: 65600136\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate -18361073 divided by -2.\nAnswer: 18361073\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 29317775.\nAnswer: 5, 17, 101, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*f + 63 = 93 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y = -0*y - 18. What is the greatest common divisor of 3 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 12*16\/(-144)*((-1215)\/(-36))\/1.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = u + 9. What is v(-19)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*(sqrt(32)*-5 + 4).\nAnswer: -120*sqrt(2) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1221620.\nAnswer: 2, 5, 17, 3593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) be the second derivative of -c**4 + 0*c**2 + 0 + 0*c**6 + 0*c**7 + 0*c**5 - 9*c + 1\/7*c**8 + 0*c**3. Find the third derivative of z(q) wrt q.\nAnswer: 960*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 422509, 422512, 422517, 422524, 422533, 422544?\nAnswer: 422557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1325\/(-1590)*(-12)\/(-270)*-3*(-3)\/1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d**(-1\/4)*d)**(14\/9)*(d**(-4\/7)*d)\/(d\/(d*d**6)))\/((((d\/(d*(d*((d**6*d)\/d)\/d*d)\/d))\/d)\/d**(-1\/4))\/(d**(-1\/2))**(-24)) assuming d is positive.\nAnswer: d**(2213\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1411927 is divided by 234855?\nAnswer: 2797","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 e and 1 m when three letters picked without replacement from eemey.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -159 = 5*n - 2*r - 182, 28 = n - 3*r for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in -5, -1\/2, -2\/13, -2, 0.07, -53\/114, 1\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 78.01042 millilitres?\nAnswer: 0.07801042","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -1245, -1088, -841, -510, -101?\n\"Answer: -q**3 + 51*q**2 + 11*q - 1306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 389000 rounded to the nearest 10000?\nAnswer: 390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s = -0*s - 4*b - 31, 0 = -5*s - 3*b + 63. Factor -4*d**5 + 6*d**2 + 7*d**5 + s*d**3 + 0*d**2 + 12*d**4.\nAnswer: 3*d**2*(d + 1)**2*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 24 divide 39216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-297)\/(-32010)*(-40)\/24)\/((-12)\/(-32)).\nAnswer: -4\/97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o = -104 + 200. Suppose -5*x + 3*r = -195, -77 - 22 = -2*x - 3*r. Let n = x - 30. Calculate the greatest common divisor of o and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = -j**2 + 3*j + 8. Let l be f(6). Let n = -1779 + 1783. Put -2, -5, l, n in descending order.\nAnswer: n, -2, -5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (26\/(-10))\/((-3)\/(-15)). Let j(g) = -g**3 - 12*g**2 + 15*g + 30. Let b be j(n). Solve -5*q = 5*d + 30, -b*d + 10 = -5*q - 11 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be -480*(3 + 91\/(-26)). Calculate the greatest common divisor of j and 168.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = n**3 - 7*n**2 - 39*n - 32. Determine m(0).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:04 PM and 9:48 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o = -691\/7 - -99. Let n = 1.4 + -0.4. What is the second smallest value in n, o, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 156410781055 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round 0.172882 to 2 decimal places.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is seventeen halves of a gram in milligrams?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = x**3 - 3*x**2 - 52*x - 12. Let d be w(9). What is the highest common divisor of d and 426?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-30)\/6 + (5 - -3). Factor 110*n**2 + 50*n**4 - 5*n**5 - 35*n - 132*n**3 + 3*n**3 + 9*n**a.\nAnswer: -5*n*(n - 7)*(n - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4786 + 334 = -6*j. What is the hundreds digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 10*y + s = -46, -24*s = -5*y - 29*s - 5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y + 20 = 5*o, 2*o - 7*o + 10 = 5*y. Let d(v) be the first derivative of 0*v**2 - 4 + 1\/12*v**o + 0*v. Factor d(l).\nAnswer: l**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 105 and 175.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -b + -1358?\nAnswer: -1363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = -h**2 + 42*h - 171. Let x be a(38). Sort -4, -3, -1, x in ascending order.\nAnswer: x, -4, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19*u - 4 = -23*u. Put 4, u, -2\/11 in descending order.\nAnswer: 4, u, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 2*-2 + (-7)\/1 + 1179\/108. Let b be 1\/(-2) - (-21)\/6. Let q = 4 - b. Is q != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 87802.16 litres in millilitres?\nAnswer: 87802160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1259 or 1260?\nAnswer: 1259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f*(f**(-5)*f)\/f)\/f**(-1)*f**2*f**4\/f*((f*f*f**(-1)*f)\/(f\/(f\/f**(-8))))**44 assuming f is positive.\nAnswer: f**442","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (10 - 3 + 11)*(3*g - 27 + 27).\nAnswer: 54*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -335477 + -4?\nAnswer: -335482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = -6897*y. Let q(r) = -19*r. Calculate s(q(z)).\nAnswer: 131043*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*p + 3*p + 12 + 0*p + 0*p.\nAnswer: p + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u\/u**(-21)*u*u)**(-10)\/((u*u*u**(18\/5)*u)\/(u**(-12)*u)) assuming u is positive.\nAnswer: u**(-1288\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {g: 5, y: 1, j: 6, z: 1, o: 1}. Give prob of sequence ozy.\nAnswer: 1\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z + 75 + 160 = 0. Let k = -4 - z. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 250 and -2.\nAnswer: -500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s be 2 + -8 + 5 + (5 - -6). Solve 0 = 8*t - 3*t - s for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -3.6718 + -0.3282. Let y = -3.1 + 3. Let h = y + 0. What is the smallest value in 4\/3, h, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 17 - (-13 - 3\/2*(-4 - 0)). What is the highest common factor of 597 and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b**(-6\/13)*b**(-2\/9)*b)**(5\/2))**(-33) assuming b is positive.\nAnswer: b**(-2035\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g = 855 - 542. Let c(o) = -o**3 + 54*o**2 - 61*o + 224. Let l be c(53). Let z = l + g. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-1 + 1)\/(1 + 1). Suppose o = -5*l - 4*d - d, -4*l - d = -15. Suppose w = l*u - 84, -11 = -u + 3*w + 3. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l - 3 = -111. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -167 = -11*f + 119. What is the remainder when (6 + 0)\/(-2)*(-1176)\/4 is divided by f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = h**2. Let j = 4601 - 4599. Let c(u) be the first derivative of 3 + 13\/2*u**j + 0*u. Determine c(m(x)).\nAnswer: 13*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ds when two letters picked without replacement from xsxnnrd?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 961 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is (78\/4)\/((-70 - 68)\/276)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = 12*m**2 + 14*m - 5. Let v(y) = 4*y**2 + 5*y - 2. Let w(g) = 8*v(g) - 3*x(g). Let l(a) = 17*a**2 + 7*a + 5. Calculate -2*l(o) - 9*w(o).\nAnswer: 2*o**2 + 4*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 326459 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = -2*v**2 + 6*v + 2. Let d be o(4). Let b be (d\/4)\/((-45)\/150). Suppose 5*r = -2*g + 7 - 2, -5*g + 60 = 3*r. Solve b*p - 5 = g for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 1, -22, -71, -146, -247?\n\"Answer: -13*c**2 + 16*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = a**3 - a**2 - a. Let u be (-1 - -2)*(3 - 3). Let r be d(u). Let w(t) = -t**2 - t + 22. Calculate the remainder when w(r) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0 - (0 - (-7)\/(-35))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 11094.999991018 + -11095. Round q to six dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = 5*j + n - 28, j = 2*n. Suppose -5*u + 7*r = 2*r - 50, 2*r = 0. Let d = -7 + u. Solve 9 = -x - j*m, -2*x - 4*m = x + d for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 865127 divided by -5?\nAnswer: -865127\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from goggv. What is prob of sequence vo?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*p**4 - 114*p**2 - 216*p - 105 = 0.\nAnswer: -5, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) be the second derivative of -n**4\/12 - 8*n**3\/3 + 8*n**2 + 3846*n. Calculate z(-16).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 62\/43, 12, 1\/787.\nAnswer: 1\/787, 62\/43, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Factor q**2\/4 - 153366*q - 613468.\nAnswer: (q - 613468)*(q + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s be (10\/(-4))\/(3\/(-186)). Suppose -5*z = -0*z - s. Suppose -30 = -4*j - 2*u - u, 0 = -3*j + 2*u + z. Calculate the highest common divisor of j and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1209 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: In base 14, what is c - -26517b?\nAnswer: 265189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**(-12)\/(t\/(t*t\/t**(-17\/4)*t*t)))**36 assuming t is positive.\nAnswer: t**(-171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = 6*z - 17*z**2 - 6*z. Let y(p) = 2*p**2 + 4*p + 4. Let o(x) = x**2 + 3*x + 3. Let b(v) = -4*o(v) + 3*y(v). Determine b(m(n)).\nAnswer: 578*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 21 = -f + 4*f, -3*b - 9*f + 29*f - 142 = -6*f + 4*f for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -5 (b) -15 (c) -3 (d) -8569 (e) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert 16600 (base 15) to base 4.\nAnswer: 101220201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert -2 (base 4) to base 13.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 d and 1 t when two letters picked without replacement from dtddrdbkrkwrtbt?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: ((-68)\/56)\/(-17)*2*(-4)\/2\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 58, 199, 422, 727?\n\"Answer: 41*j**2 + 18*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 184, -1, 209 in decreasing order.\nAnswer: 209, 184, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m = -766.02 - -780. What is m rounded to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l + 3 + 33 = 5*k, 20 = 2*k - l. Let c(o) = -8*o - 7. Let g(y) = 12*y + 11. What is k*c(r) + 5*g(r)?\nAnswer: -4*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18 = f - 4*c, -236*c = -4*f - 231*c + 28. Solve -f*x + 7 = 13 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} {"text":"Question: Solve 59*f + 101*f + 7946 = 23*f for f.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 3466209 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 5 - (336\/(-240) + 217\/35).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 13772 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: Suppose 0 = -3*p + 13*p - 280. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 571.1428 millilitres in litres?\nAnswer: 0.5711428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*l - 8 = n, -7*n + 3*n = 5*l - 10 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 493294100?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(114)*1*3 - sqrt(114)) + (sqrt(114) - -2*sqrt(114) - sqrt(114))*-2)\/(sqrt(24) - (sqrt(24) + sqrt(96)*-1)).\nAnswer: -sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2267 + 784 + 700 + 782 - 5157*c to the form k + n*c and give n.\nAnswer: -5157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:02 PM and 2:13 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 731 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b = -694 + 694. What is the closest to b in 1, 16, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -7, -4, 1, 0, -29 in decreasing order.\nAnswer: 1, 0, -4, -7, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 2 - 206611387614?\nAnswer: -206611387612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = 11*j**2 + 0*j - 4*j**2 + 0*j. Let y(l) = l. Determine y(u(c)).\nAnswer: 7*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n = 318 + -318. Let d(j) = 5*j - j + n + 6*j**2 - 9 + j**3 + 2. What is d(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 91 and 169?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = x**2 - 6. Suppose 16 = -10*n + 8*n. Let r(w) = -2. What is n*r(a) + 3*j(a)?\nAnswer: 3*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n = -9 + 29.4. Let q = -593.4 + n. Let p = 599.9 + q. Round p to 0 decimal places.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16 = -0*w + 8*w. Let p be 8002\/(-14145) + w\/3. Let l = p + -6\/115. Which is bigger: l or 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2625616 is divided by 241.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 14\/9 of a hour in seconds?\nAnswer: 5600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-7 - 108\/(-16))*(3 - -3).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 14513 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate 29021019 divided by -8.\nAnswer: -29021019\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 47*s - 24*s - 18*s - 5*s + 4*s**2.\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (20 - (15 - 3 - -5)) + (6 - 0).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 5*l + 2 + 0*l**4 + 3*l**4 - 4*l**4 - l**3 + 3*l**2 - 6*l to k*l**2 + m*l**4 + u*l + q + t*l**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = d**2 - 8*d + 9. Let c = -16724 - -16726. What is f(c)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l - 3*z = 312, -3*l - l + 252 = -3*z. Suppose -11*b = -6*b + l. Is 19 a factor of 150\/8 + b\/(-48)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 24 and 247?\nAnswer: 5928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express 56*h**2 - 22 + 8 + 14 as u*h + b + x*h**2 and give x.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0074862 to 3 decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 5743 or 63185\/11?\nAnswer: 5743","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Divide -268180 by 4.\nAnswer: -67045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Divide 535100 by -21404.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 655 minutes before 10:00 AM?\nAnswer: 11:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 46762 is divided by 550.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z + 2692006 = 2*s, 0*s - 6730009 = 5*z - 3*s. What is z rounded to the nearest 10000?\nAnswer: -1350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + 3 + 2)*(5*n**3 - 2*n**3 - 2*n**3).\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 80929684?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m = -89 + 179\/2. Factor 0 - 1\/2*n**4 - m*n**3 + 0*n + 0*n**2.\nAnswer: -n**3*(n + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 79\/70 and (-4)\/(-14) + (-7 - (-10510)\/1925).\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 168 a factor of 64126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is (-4 - (-2 + 0)) + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d be 21 - ((4 - 1) + 1). Let t = 22 - d. Let o(k) = -k**2 - 9*k - 6. Calculate the smallest common multiple of o(-7) and t.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i**(-8\/3)*i)\/(i**(1\/3)*i)*((i*i**(1\/4))\/i)**(-25))**(-18) assuming i is positive.\nAnswer: i**(333\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Express 175*f**2 + 30*f**3 - 84*f**2 - 85*f**2 as y + k*f**2 + s*f**3 + l*f and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) = -z**3 + 5*z**2 + 8*z - 11. Let n be l(6). Let a = -8 - n. Let k(p) = -2*p + 21. Is k(a) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m**5\/11 - 4976*m**4 + 383052*m**3\/11 + 4976*m**2 - 383054*m\/11 = 0. Calculate m.\nAnswer: -1, 0, 1, 7, 27361","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = -50413*i + 46035. Let o(m) = -3601*m + 3288. Let q(n) = 99*o(n) - 7*x(n). Find the first derivative of q(h) wrt h.\nAnswer: -3608","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 344 minutes before 9:59 AM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 4, -1\/4, 2\/7, 9, -1.7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = -2*s**2 - 3*s. Let r be 24\/15 - (-3)\/(-5). Suppose 4*p = 3*p + r. Let j(c) = -c**2 - c. Give p*a(z) - 3*j(z).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = 3*z**3 + 8*z**2 + z + 4. Let y(g) = 4*g**3 + 9*g**2 + g + 6. What is -3*i(q) + 2*y(q)?\nAnswer: -q**3 - 6*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) be the third derivative of 2*w**5\/15 - w**4\/12 + 70*w**2 + w. Calculate d(2).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 68421 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 264605, 264625, 264645, 264665?\n\"Answer: 20*z + 264585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p\/(((p*p\/p**(-8\/5))\/p)\/p)*p*p*p**(-2\/13)*p*p**(-2\/3)\/p**(2\/11))**17)**(-3\/2) assuming p is positive.\nAnswer: p**(-25483\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4 - 13 - -2 - -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j = -16 + 10. Let v = -3 - j. Let z be (129\/344)\/((-9)\/4). What is the nearest to 0 in v, -2\/19, z?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 9171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s = 16 - -10. Calculate the remainder when 129 is divided by s.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 f and 1 o when two letters picked without replacement from fooffffefafnooeo.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -1 - 211131101000?\nAnswer: -211131101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -29 = 3*t + 5*m, -4*t - 74*m + 72*m = 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {l: 1, y: 5, a: 3, h: 6}. Give prob of picking 1 h and 1 y.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 171*p = 174*p + 4*o + 8, -5*p - 5*o = 10 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.1 - 0.2. Let h = 12.21 - 0.21. Let q = 9 - h. Put 4, q, o in decreasing order.\nAnswer: 4, o, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -25 - -37. Let i = t + -10. Solve 0 = l - 5*b + 10, -l = i*b - 5*b + 4 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 175, 180, 285, 568, 1107, 1980, 3265?\n\"Answer: 13*v**3 - 28*v**2 - 2*v + 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 34222, 68152, 101774, 135082, 168070, 200732, 233062, 265054?\nAnswer: 296702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {q: 2, j: 1, c: 2, w: 2, f: 1, i: 1}. Give prob of picking 1 q, 1 w, and 1 c.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*z + 0*w = -2*w - 9, 4*w = -12 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 413904771 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v be 1\/(3\/(-699)) + -2 + 7. Let g = -128 - v. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 64\/(-160) - (-134)\/(-5). Which is bigger: j or -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/3, 0, 1, -3\/7 in increasing order.\nAnswer: -3\/7, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00000033077 rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Are -1207 and -1207 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:39 PM and 1:56 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u + 2*d = -14, 0*u - 5*d = -3*u + 26. Let i(l) = -24*l**2 + 23*l**u - 61*l**2. Let h(p) = 5*p. Calculate i(h(f)).\nAnswer: -1550*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/17, -13532, 4 in decreasing order.\nAnswer: 4, -2\/17, -13532","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = -x**2 - 3*x. Let w be o(0). Suppose 137400000 = -w*u - 6*u. Round u to the nearest one million.\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = 57*z**5 - 12*z**4 - 98*z**3 - z**2 + 152*z - 85. Let o(p) = -4*p**5 - p**3 - p**2 + 4*p + 1. Let d(q) = 5*g(q) + 65*o(q). What is w in d(w) = 0?\nAnswer: -3, -2, 2\/5, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -7 in 41\/7, -39, 19, 1\/2, -5, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*p = -n - 14, p - 7*n + 2 = -8*n for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sum 121 and -0.9.\nAnswer: 120.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Divide -305 by 5.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*k - 2*l - 18, -2 = 5*l + 8. Let b be (14\/(-4))\/(k\/(-98)). Which is smaller: -50 or b?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*c**2 + 2*c**3 - 3*c**2)*(4*c - 2*c + c).\nAnswer: 6*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1.9 in -0.3, 6, 23.9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (12\/(-136))\/(9\/(-4) + 3).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2654863 is divided by 16287.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 531144 rounded to the nearest 1000?\nAnswer: 531000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Put 0, 25, -14 in decreasing order.\nAnswer: 25, 0, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 154 minutes after 5:01 PM?\nAnswer: 7:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) be the third derivative of -5\/24*f**4 - 3*f**2 + 2\/3*f**3 - 1\/15*f**5 + 0 + 6*f. Find the second derivative of m(p) wrt p.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence fj when two letters picked without replacement from ggffgagfggjfglgjffg?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -1 (b) -0.2 (c) -108 (d) -2 (e) -25 (f) -3 (g) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s**3\/2 - 12795*s**2\/2 + 31950*s = 0. Calculate s.\nAnswer: 0, 5, 4260","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*a - 6 = -2*v, -92*v - 4*a = -96*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((27234\/126)\/89)\/((-3)\/(-14))?\nAnswer: 34\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = -z**2 + 79*z - 1550. Determine t(40).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p + 3*t - 15 = -3*p, 5*p = -4*t + 64. Calculate the remainder when 46 is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 z and 1 b when two letters picked without replacement from bbfgbffbbbbzfbbtbbgf?\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f = -10 + 11. Sort -3, 3, f in increasing order.\nAnswer: -3, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6490 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hwhw when four letters picked without replacement from {w: 2, h: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -194821 divided by 1?\nAnswer: -194821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v = 8*v - 100. Suppose v + 1 = 3*c. Suppose -c*u = -3*u. Solve -j + u*j + 4 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {u: 5, m: 5}. What is prob of sequence ummu?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: (6\/60)\/(21\/(-35))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 8*f + 16, 16*j - 8 = 17*j + 3*f. Let n be ((-12)\/2)\/(3\/2). Sort n, j, 4, 3.\nAnswer: n, j, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*u**3 + 54 - 18*u**2 - 31 - 23.\nAnswer: 2*u**3 - 18*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -7 in -6, 1, 3, 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 14503893 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 1328111879 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*y + 2*y - 14*y**3 - 7*y.\nAnswer: -14*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p + 4446 = -l, -35*p - 2*l = -39*p + 3564. What is the highest common factor of p and 259?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -r + 12 = -5*a, -4*r - 13 = 4*a + 11 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) be the second derivative of 21*y + 0*y**3 - 1\/4*y**4 + 0*y**2 + 0. Let n(c) = 42*c**2. What is n(t(m))?\nAnswer: 378*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = o**2. Let c(f) = 2*f**2 - 1. Let w be (6\/(-4))\/((-9)\/24). Let i(j) = w*v(j) - 3*c(j). Find the first derivative of i(p) wrt p.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 94 is divided by 53.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 285.543 rounded to the nearest ten?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from jttttjttjjttttjttttt.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 1 (b) 2\/29 (c) -155\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 799537953.\nAnswer: 3, 1021, 261031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 3.3 or -245669?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = -a**2 - a. Let c(n) = -n**2 + 24*n + 28. Let t be c(25). Let s(i) = t*i**2 + 0*i + 126*i**3 + 4*i - 127*i**3. Give s(q) + 2*w(q).\nAnswer: -q**3 + q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Put 298\/3, 5, -2, 0, -1 in increasing order.\nAnswer: -2, -1, 0, 5, 298\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1010110010011 - -1001010110011?\nAnswer: -1011100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 331484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c + 65 = 68. Suppose -4*v = 3 + 1. Is c smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 655 minutes before 1:52 PM?\nAnswer: 2:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -672313 less than 15390?\nAnswer: 687703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 72 and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 648454400 a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 0.1*506.4\nAnswer: 50.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 933, 992, 1133, 1398, 1829?\nAnswer: 2468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 25764663 to the power of 1\/2, to the nearest integer?\nAnswer: 5076","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 110 - 1341*n - 110 + 1342*n.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b = 0 + 8. Suppose 3*j = -2*j + 10. Let o be (b\/10)\/(j\/5). Solve 0 = s - 1 - o for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:39 PM and 5:12 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.02546 - -4.02546. Let i = 2.92 - -0.08. Which is the third smallest value? (a) 11 (b) -2 (c) w (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*g + j - 51 = 3*j, 3*j + 38 = 4*g. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 243638069 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 10490287*s**3 + 30042796*s**2 wrt s?\nAnswer: 62941722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = m**2 + 46*m - 44. Let x be j(-47). Factor 6\/5*p**x - 8\/5*p + 0 + 0*p**2 - 2\/5*p**4.\nAnswer: -2*p*(p - 2)**2*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 11*n**5 - 4*n**5 - 8*n**5 + 3*n wrt n.\nAnswer: -20*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4521196 is divided by 7485?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l = 1518 + -566. Is l a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1057 is divided by 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Divide -309025 by 1.\nAnswer: -309025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:13 PM and 11:40 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = 4*x. Let s(p) = 396*p + 9920. Calculate s(y(j)).\nAnswer: 1584*j + 9920","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 385137 is divided by 450?\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00011300313 rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 185 minutes after 4:24 AM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is fourty-four fifths of a day in minutes?\nAnswer: 12672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (16912\/126)\/302 + (-2 - (-365)\/9)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Determine b, given that -b**2\/3 + 12370734*b - 114776294774067 = 0.\nAnswer: 18556101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) = 2414*m. Let n(h) = -2*h**2 + 42. Let o(f) = 3. Let a(k) = -n(k) + 14*o(k). What is a(t(u))?\nAnswer: 11654792*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = g**2 + 2*g. Let d be c(0). Suppose d = 3*j + 2*j - 440. Is j a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 91 + -21. Calculate the highest common factor of 14 and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 91803095299 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-1)\/(-3))\/((-2)\/(-66)). Suppose -2*i + 0*i + 4 = 0. Let c be (i + 30\/(-4))*-2. What is the highest common factor of k and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h - 6 = 2*x, 0 = -h + 11*x - 7*x + 12. Let w = 0.2 + 0.1. Do h and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -3817, -975, 1867, 4709, 7551, 10393?\nAnswer: 13235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00792332 to five decimal places.\nAnswer: 0.00792","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert 56.56199 millennia to centuries.\nAnswer: 565.6199","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -21\/17140 and -19\/4285.\nAnswer: 17140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c - 22*w - 35 = -21*w, 3*c = 4*w + 60. Solve 10*m - 34 = c for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) be the third derivative of 5*w**4\/24 + 32*w**3\/3 - 17*w**2. Let l be r(-12). Suppose -1 = -t + 3. Calculate the greatest common divisor of l and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 52450816.\nAnswer: 2, 11, 67, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 5059 + -3?\nAnswer: 5056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is next in -9798526, -39194106, -88186740, -156776428?\nAnswer: -244963170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r - 2*c + 12 = -0*c, 0 = 5*c. Suppose 7 = r*h + 1. Suppose -g = 2*t + 3*t - 29, 12 = -h*g + 4*t. Solve -5*u = 4*k - 25, u = g*u - 5*k - 15 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 194 minutes before 4:30 AM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose x = -5*i - 11, 2*x - i - 53 = 4*i. Calculate the smallest common multiple of 98 and x.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 4780 and 780640.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 165047843*m*o**3*s - 96*m*o*s**2 + 2*o**3*s**3 + 35259*o**2*s**2 + 18*s**3 wrt o.\nAnswer: 990287058*m*s + 12*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z = -14 - -75. Let y = -57.9 + z. Let p = y + -3.117. What is p rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:07 AM and 10:49 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2421, 4348, 6275, 8202, 10129, 12056?\nAnswer: 13983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 101 (base 3) to base 8.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g\/((g*g\/(g*g*g**(12\/7))*g*g)\/g))\/((g*g\/(g*g*g\/(g**(2\/5)\/g)*g)*g)\/g)*(g*g**(-2\/7)\/g)\/g**(2\/15) assuming g is positive.\nAnswer: g**(409\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: (-20)\/15 - (-2 - 22\/(-6))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Put 0.7, 0.4, -3\/5, -3 in ascending order.\nAnswer: -3, -3\/5, 0.4, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -26, -128, -308, -572, -926, -1376, -1928, -2588?\n\"Answer: -d**3 - 33*d**2 + 4*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.3 - 8272250.\nAnswer: -8272250.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = -5*c + 10. Let m(w) = w - 1. Let p(q) = 6*m(q) + o(q). Let i be p(-3). Calculate the common denominator of (i\/(-5))\/((-4)\/190) and -95\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 94.89123 months?\nAnswer: 0.079076025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 0.5 and -16.5?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find z, given that -2*z**2\/11 + 235058*z\/11 + 3526320\/11 = 0.\nAnswer: -15, 117544","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify s\/(s*s**(1\/54))*s**(2\/49)*(s*s**14)\/(s\/(s**14\/s)) assuming s is positive.\nAnswer: s**(71501\/2646)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: (9\/24*-6)\/(-24)*(-148)\/444\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 18108 is divided by 502.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -0.5, -3, -28, -117, 2, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {s: 6, g: 9, w: 1, r: 1}. Give prob of picking 4 g.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 4890011 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -4 + 7 - (-3 + 4 - -4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -0.1235542128 times 1?\nAnswer: -0.1235542128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o + 4 - 8 = 0. Suppose b - 12 = 3*l, 0 = -2*b - 2*b + 4*l + 24. Suppose -4314 = -2*v + 4*z, -3*v - o*z = -b*z - 6476. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/3 in 0.4, 0.05, -4?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 11 - (-36 + 9)\/(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*i**2 - 4*i**2 - i**2)*(2 - 7 + 2) + i - i - 3*i**2.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-20)\/3*((-360)\/(-25))\/12.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify k*k**(-2\/9)*k**4*k**(2\/5)\/(k\/((k\/(k\/(k**(1\/15)\/k)*k))\/k*k*k)) assuming k is positive.\nAnswer: k**(146\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 8*4\/60*(-3)\/(-2).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from zoottwzl. What is prob of picking 1 w and 1 z?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 182467 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 0\/(52\/13*(-3)\/(-6))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w - 4*u + 78 + 77 = 0, 3*w - 2*u = 71. Let d(l) = -l**2 + 83. Let s be d(0). Suppose w = -4*q + s. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1541 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -0.2906 minus 73?\nAnswer: -73.2906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/25 of a kilogram in grams?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 9 a factor of 123804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 22 + 0 + (10 - 1 - (-209 - -218)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -y = 5*c - 10, -2*c - 234*y = -240*y - 68 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 f and 1 a when two letters picked without replacement from {f: 1, l: 3, x: 2, t: 6, a: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7238 is divided by 936?\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.2698 + 2344.2698. Let q = -881 + d. Let w = 1454.89 - q. Round w to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = u**3 + 7*u**2 + 5*u - 2. Let o = -17 - -11. Let k be b(o). Solve t + 5*m = -0*t + 2, 0 = -3*t - k*m + 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 220\/90 - 4845\/513?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 36207, 72417, 108625, 144831, 181035?\nAnswer: 217237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand q + q**4 - 2*q**4 - 2*q + 5*q**4 - 2*q**4 - 4*q**4 + 5*q**4 - 4*q**4 - 3*q**4 + 0*q**4 - q**4 + 2*q**4 + (0*q**3 + q**3 + 0*q**3)*(0 + 0 - 2*q).\nAnswer: -5*q**4 - q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g = 14 + -13. Let f(z) = 4*z**3 + 2*z - 1. Let v be f(g). Solve 0 = 3*w + 2*w + v for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -975 - -982. Let n = -4.07 - -0.07. Which is the second biggest value? (a) k (b) -5 (c) n (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 19b (base 16) to base 9.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 149?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -103\/21476 and -42\/533.\nAnswer: 880516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 430053?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 2433332260?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = -b**3 - 17*b**2 - 30*b + 18. What is f(-15)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0.086 - 0.002. Let u = v + 2.916. Suppose -7*c + 13*c - 48 = 0. What is the third smallest value in c, -3, u?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = n**2 - 7*n + 27. Let u be o(10). List the prime factors of ((-114)\/u)\/(((-2)\/(-139))\/(-1)).\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hhb when three letters picked without replacement from {f: 6, h: 3, b: 3, w: 3}.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*o + 0*o - 3*o)*(-10 - 19 - 25) - 13*o + 0*o - 5*o + (-4 + 2 + 1)*(-o - 2*o + o).\nAnswer: -70*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many tonnes are there in 698385.4g?\nAnswer: 0.6983854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j = 217 - 216. Is ((5 + -4)\/j)\/(1\/934) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*p + 2*y + 13, -2*p - 2 = -4*y - 20. Suppose 5*f + 2*i = -0*i + 26, 12 = 4*i. Sort f, -2, p in descending order.\nAnswer: f, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w + 8 = 0, -3*w + 27 = 4*g - 25. Let n be 17 + g\/(-4) + 4. Solve -x - 3*t + n = 0, -5*x = -2*t + 4*t - 20 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) be the third derivative of 0*k**3 - 1\/270*k**6 + 0 + 0*k - 1\/270*k**5 - 1\/945*k**7 + 0*k**4 + 17*k**2. Find s such that m(s) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 415*f**3*p**2*r**2 + 2*f**3*p*r - f**3*r**3 + 2581*f*p**2*r**3 + 2576483*p*r**3 wrt p.\nAnswer: 830*f**3*r**2 + 5162*f*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f = 713\/725 - 32\/29. Which is greater: 17 or f?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.6 + 4.6. Let d = -101 + 96. Which is the second biggest value? (a) -0.3 (b) i (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -388943517 to the nearest one million.\nAnswer: -389000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Determine f so that -5*f**4 - 15*f**3 + 170*f**2 + 600*f = 0.\nAnswer: -5, -4, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.04 in 0.1, 2, -3\/5, -1\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -3*b**2*p + 45*b*p - b - 631*p wrt b?\nAnswer: -6*b*p + 45*p - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (54*r + 7 - 199*r - 7)*(3*r**3 - r**3 - r**3).\nAnswer: -145*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand -27*u**3 - 14*u**3 + 14*u**3 + 1 + u**3 - 1 + (-2 + 0 + 4)*(2*u**3 - 3*u + 3*u) + u + u**3 - u + 3*u**3 - 7*u**3 + 2*u**3 + u**3 - u**3 - 2*u**3.\nAnswer: -25*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 8 + 11?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -62 = -5*y + 3*n - 2, 2*n = 5*y - 65. Suppose 45 + 70 = -5*q. Let f = -13 - q. What is the lowest common multiple of y and f?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in -658\/17, -4, -2\/5, -5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g = -13 + 21. Let n = 2 - g. Let p = n + 11. What is the least common multiple of 11 and p?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = 6*l**2 + 1. Let g = -164 - -165. What is u(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*u + 24 = -4*h - 2*u, -3*u - 21 = 3*h. Let r be (-6)\/3 - h*1. Solve -5*d - 17 = -0*j + r*j, -4*j = d for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h = 12 + 3. Suppose -t - h*m - 2 - 2 = 0, -t + m - 4 = 0. Suppose -p = -3*p - 6. Put 0, t, p in ascending order.\nAnswer: t, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 167*-0.074.\nAnswer: -12.358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 2032 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 12440033402 (base 5) in base 7?\nAnswer: 246111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x be 1182\/3*(2 - 1). Let t be (-2 - x\/20)\/(-5). Let q = -19\/25 - t. What is the common denominator of 119\/12 and q?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n*n**(2\/9))**(32\/5))**(-2\/3) assuming n is positive.\nAnswer: n**(-704\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x = -27 + 39. Let v be 6 - 2 - 4\/(-2). Let m = x + v. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -138 = -4*j - 122 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -v + 26 - 28 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f be (1 + (-18)\/8)*-4. Let c = -358 - -358. Suppose -2*l = -3*l + 16. Solve -f*d + l = 3*a + 3, -d + 5 = c for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c + 33 = 9. Let z = c - 1. Solve -z = -3*w - 2*k - 2*k, k = -4*w - 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 1704*v**3*y**2 - 608*v**3 - 2*y**3 wrt y?\nAnswer: 3408*v**3*y - 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) 0.03 (b) -5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 9819, 20584, 31349, 42114, 52879, 63644?\n\"Answer: 10765*c - 946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*x + 4*x + 4*x + 5*x.\nAnswer: 10*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j = -537.92 + 526. Let k = 11.5 + j. Let z = 0.41999707 + k. Round z to 7 decimal places.\nAnswer: -0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 49 = -2*d + 3*c, 6*d = 29*c - 48*c + 15*c - 82 for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -1344*l - 85*l - 20144 = 2223 + 1926 for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is fifty-two fifths of a millennium in years?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p = -145 + 259. Let j = p + -78. Calculate the remainder when 141 is divided by j.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 3.4 + -3.5. Is x >= 0.06?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:32 PM and 10:04 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = 4841*k + 4833. Give f(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 24714873?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-20)\/3)\/2*3\/(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(119)*-2*3)\/(-5*sqrt(28)))**2.\nAnswer: 153\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = 8*u + 5. Let f(y) be the first derivative of -2*y**2 - 2*y - 41. What is -2*b(d) - 5*f(d)?\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b = 69 - 47. Suppose 0 = 2*j - b - 54. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 127 a factor of 16626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Does 9 = 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 6*6\/(420\/(-14))*(-315)\/14.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 0.1 or -27542?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 21956091 to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -71 + 79 - 4*a**2 - 43 to the form k*a + b*a**2 + u and give u.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = p + 1. Let t = -7 + 19. Let f be z(t). Solve -x + f = -2*b + 2*x, 0 = -5*b + 2*x - 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 111 minutes before 11:53 PM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = -7150*o + 707801. Determine t(99).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: (6\/4*304\/608)\/(33\/2728)\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) be the third derivative of -a**6\/40 + a**5\/60 + 55*a**3\/6 - 2*a**2 - 46*a. Differentiate b(w) wrt w.\nAnswer: -9*w**2 + 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3298*f + 3275*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*l = -2*l. Let a(d) be the first derivative of d**3\/3 + d**2\/2 - 17*d + 56. Let j be a(4). Solve l = 2*k - j*c - 18, -2*k - 6*c - 10 = -2*c for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 48*u**3 + 323802*u**2 - 6616061*u - 25.\nAnswer: 288*u + 647604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d = 1271.0879 - 1271. Let u = d - 0.1248. Round u to three dps.\nAnswer: -0.037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 y, 1 f, and 1 w when three letters picked without replacement from {f: 4, y: 1, b: 1, w: 1, m: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z + 9 = -3*i, 0 = z - 4*i + 8*i + 12. Let q be 7\/54*(-4 - -3). Let b = q + -181\/270. Does z = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence nh when two letters picked without replacement from gggnhgrgnbgnggbmmg?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 43528, 43440, 43342, 43228, 43092, 42928, 42730?\n\"Answer: -n**3 + n**2 - 84*n + 43612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 263849520 divided by -47032\nAnswer: -5610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 187489?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence vb when two letters picked without replacement from {b: 2, t: 4, l: 2, v: 3, c: 3, m: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h = 70 + 70. What is the highest common divisor of h and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of (-4 - -885)\/(45\/40 + -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -44 + 48. Calculate the greatest common factor of 10 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -1, 59, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 244 minutes before 6:32 PM?\nAnswer: 2:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 42132 and 2232996.\nAnswer: 2232996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = -j**3 - 35*j**2 - 197*j + 10659. What is g(13)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q be 81\/(-12)*208\/(-156)*2\/(-114). Is 105 at most as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {q: 2, y: 5, f: 1, p: 1, m: 1}. Give prob of sequence qy.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Round -14.47748 to the nearest integer.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(104) + 5*-3*sqrt(104))\/(3*sqrt(512) + sqrt(512)))**2.\nAnswer: 637\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -377 and 0.0268?\nAnswer: -10.1036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*w = 5*j + 959, -j = 11*w - 14*w + 207. Let i be (6\/4)\/(j\/(-260)). Solve i = -2*c - 4, 0 = -5*n - 2*c - 26 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) be the first derivative of 0*s - 1\/24*s**4 + 0*s**2 - 7\/180*s**6 - 1\/60*s**5 - 14*s**3 + 19. Let z(b) be the third derivative of k(b). What is z(-1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 14160125 by -2022875.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*s + 99 = -r + 81, -2 = -2*s - r for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is (-6 - 0)\/(72\/(-48))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -0.1 * 44\nAnswer: -4.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:49 PM and 9:48 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve s**4\/2 - 205*s**3 + 9286*s**2 - 102284*s - 243360 = 0.\nAnswer: -2, 26, 360","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mrh when three letters picked without replacement from mhgmrrmmhro?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 45*g*y**2 - 5443022*g - 85*y**2 - 342*y wrt y?\nAnswer: 90*g*y - 170*y - 342","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -188448*r**4 - 2*r**3 + 5*r**2 - 3218855*r wrt r?\nAnswer: -4522752*r - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = 2201*c**2. Let q(p) be the second derivative of p**4\/6 + 40*p - 10. Determine q(b(z)).\nAnswer: 9688802*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mm when two letters picked without replacement from ymmyxmqymmxmxmmmyy?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j = -2 + 2. Let m = j + -0.2. Let h = -4144.1 + 4144. What is the closest to 2\/9 in m, 2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 37068032?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -332*w + 585*w - 254*w.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in fourty-two fifths of a milligram?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -7068, 4, -2008, -3 in decreasing order.\nAnswer: 4, -3, -2008, -7068","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in eleven tenths of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -2787 or -2784?\nAnswer: -2784","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2480 + 3026 = -3*y + p, -4*y - 4*p = 7368. Let t = -539 - y. List the prime factors of t.\nAnswer: 2, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -21 (base 3) to base 9\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Work out 104.8 + 0.2.\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) 1 (b) -16.6 (c) 2 (d) -1\/2 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 r, 2 v, and 1 q when four letters picked without replacement from {r: 2, z: 1, v: 2, q: 1, w: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 13.4594 * 1.567\nAnswer: 21.0908798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 4 + 0)*(-4*r + 3*r + 4*r) + 0*r - r + 6*r - 1 + 1 - 2*r + (-3 + 6 + 2*r + 0)*(0 - 2 + 0).\nAnswer: -10*r - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {z: 1, q: 2, r: 4, e: 1}. Give prob of sequence zre.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 6233 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is (2*6\/60)\/(8\/(-10))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 664 minutes after 7:47 PM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -1\/41184 and 139\/14976.\nAnswer: 164736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -450 (b) 4 (c) -3\/2 (d) 0.4 (e) 160\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 34257 and 380?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Does 39 divide 53118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*h**5 + 62353*h - 62353*h + 51*h**3 + 152*h**4 = 0.\nAnswer: -1\/3, 0, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 4 + 18?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 14*m = 60*m + 322 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1519, 1424, 1257, 1012, 683, 264, -251?\nAnswer: -868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = -t**2 + 21*t - 88. Determine h(16).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 478 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Does 52 divide 44460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 2850 and 43395050?\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 1501777 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 9 a factor of 2614578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) be the third derivative of -p**5\/30 + 5*p**4\/6 - 8*p**3\/3 + 25*p**2. Let d be q(9). Let h(i) = -2*i + 3. Give h(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -l**2 - 2*l**2 + 0*l**2 + (6 - 2*l + l**2 - l**2 + 2*l**2)*(-6 + 1 - 1) to s + h*l**2 + m*l and give s.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 34908 divided by 3?\nAnswer: 11636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {n: 7, q: 12}. Give prob of picking 1 n and 2 q.\nAnswer: 154\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c**8\/c**(-4\/3))**(-7\/2))**50 assuming c is positive.\nAnswer: c**(-4900\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 59261?\nAnswer: 19, 3119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:30 AM and 10:17 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1.435 + -0.065. Let l = -1\/98 + 201\/490. What is the third biggest value in -4, o, l?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) be the first derivative of q**7\/840 - q**6\/72 - q**5\/20 - q**4\/6 + q**3\/3 + q**2 + 68. Let p(o) be the third derivative of v(o). Give p(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 407 + -402. Solve -3*k + 4*h + 3 = 0, -r*k = 2*h - 4*h - 19 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -1.3213592 to two decimal places.\nAnswer: -1.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6141155.\nAnswer: 5, 211, 5821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1384, 1387, 1402, 1435, 1492?\nAnswer: 1579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 1478569 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -58 in -449, 1\/8, -0.3, 3\/148?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k = -42 - -30. Let v be (k\/16)\/(1\/(-4)). What is the tens digit of (v\/2)\/((-3)\/(-172))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 794.907 to the nearest 10.\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 139, -13.\nAnswer: -13, 4, 139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*j = 6*f - 5*f - 128, -4*f = -5*j - 491. Is 7 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = -20*r + 65. Determine o(10).\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 609 minutes after 1:58 AM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -11314 (base 5) to base 6\nAnswer: -3510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 20240079 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = -r**2 - 6*r - 2. Let m be w(-5). Let c = m + 0. Let j be 281\/c + 1\/3. Round j to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 27 divide 6453?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -8 (b) -149 (c) -1 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -101 = -3*p + 40. Suppose 151 = 3*y + 5*k + p, -2*y - 3*k = -69. List the prime factors of y.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -64450, -65672, -67708, -70558?\nAnswer: -74222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:37 AM and 9:36 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = 4*y. Let u(s) = -43*s - 123. Give u(j(a)).\nAnswer: -172*a - 123","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = i**2 - 9*i + 4. Suppose 32 = 4*k - 4. Let h be v(k). Suppose h = r - 5. What is the remainder when 34 is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -221 divided by -1?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g be 2\/(-4) + (-25)\/40*-20. Let x = g - 10. Find c such that 2\/7 - 2\/7*c**4 + 0*c**x + 4\/7*c - 4\/7*c**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 14 + 15 + 312\/(-40)*15.\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-2)\/(-12))\/((-2)\/3). Suppose -p = -4, -2*y + 4 = -6*y + 4*p. Let j = 6 + -5.5. Which is the nearest to m? (a) j (b) y (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -577 + 574 - z + z + 608*z**2 to d*z**2 + k + v*z and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 924.9897ng in milligrams?\nAnswer: 0.0009249897","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 55\/4 of a microsecond in nanoseconds?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*o = -7*o + 1632. Let t be (23\/(-7) - -3) + o\/(-903). Let d = -280\/1419 + t. Which is the nearest to -0.2? (a) -4 (b) d (c) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -y**4\/2 - 7*y**3\/2 + 9*y**2\/2 + 7*y\/2 - 4.\nAnswer: -(y - 1)**2*(y + 1)*(y + 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) be the first derivative of 2*q**2 + 2\/9*q**3 - 19 + 6*q. Factor y(o).\nAnswer: 2*(o + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 6903447719 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -29 = -z - 5*y, 5*y + 305 - 346 = -4*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3039453232?\nAnswer: 2, 727, 261301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of s*v**4 - 11*s*v**3 - 21*s - 106*v**3 - 73*v**2 wrt v?\nAnswer: 24*s*v - 66*s - 636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o - 544 = -3*c, 3*c - 3*o - 369 = 171. Is (-13)\/(c\/30737)*(-2 + 0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 2 + 0)*(0*j + 3*j - j)*(-696*j - 9*j - 176*j + 1).\nAnswer: -3524*j**2 + 4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -24 - 1.7?\nAnswer: -25.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4049505.\nAnswer: 3, 5, 89989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -1 - (6 - 0) - 1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = q - 8. Let p(k) = -k + 7. Let f(r) = -2*d(r) - 3*p(r). Give f(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 3 - -427?\nAnswer: 42a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = -t**3 + 219*t**2 - 6876*t + 303. Give m(181).\nAnswer: 665","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8501?\nAnswer: 8501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of ((-2)\/((-12)\/(-14)))\/(9\/(-1026))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 2\/3 (b) -2 (c) -11 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 134b06 (base 12) to base 2\nAnswer: 1001110000000110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d = -5 + 4. Let l = -252.86 + 258. Let w = l - 0.14. What is the closest to d in w, 3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v\/(v*v**(-4\/3)*v)*v**(-2\/5)*v*v*v**0*(v*v**(-3\/2))\/v)\/((v**(-7)\/v**(1\/2))\/((v\/v**(-2\/5)*v)\/(v*v**(-2\/19)))) assuming v is positive.\nAnswer: v**(538\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n = -203\/12 + 10361\/612. What is the common denominator of -26\/3 and n?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 141209 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 267663 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p = -3*h + 7*h - 32, 2*p = 3*h + 36. What is the least common multiple of p and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) 3 (c) -2.7 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = 3*k. Let m(q) = -125*q - 8. Let n(a) be the third derivative of -41*a**4\/24 - a**3\/3 + 49*a**2. Let g(l) = 2*m(l) - 7*n(l). Give g(j(i)).\nAnswer: 111*i - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 740?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.2 in 8, -1826, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 120584818 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 19841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 + -1 + 0 + -1 + -5 - -6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = -6*d - 21. Let a be m(-4). Let g be (-1)\/(-1) - (1 + -2). Find the third derivative of 5*p**3 - 8*p**a - 4*p**g - p**5 + 3*p**3 wrt p.\nAnswer: -60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 0 != 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put together -12627043971 and 0.\nAnswer: -12627043971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = r**3 - 6*r**2 + 6*r - 10. Suppose -3 = -2*w + 9. Let d be c(w). Suppose -4*v = -2*v + 2*z - d, -v - 5*z + 5 = 0. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 20 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 9*y - 49 - 50 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) be the first derivative of l**6\/180 - l**5\/60 - l**3\/3 - 2. Let n(z) be the third derivative of a(z). What is the second derivative of n(t) wrt t?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 16893 and 198?\nAnswer: 371646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*k - 9*k - 5*d = -399, -3*d = -12. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 48921, 97842, 146763, 195684?\n\"Answer: 48921*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is (-2)\/3*-10 - ((-67682)\/258 - -257)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 777373373.\nAnswer: 7, 47, 313, 7549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c\/c**(-5)*c*c)\/(c\/c**(3\/4)))**(-13\/6)*((c*c**(-2))\/c**(-1\/2))\/c**(-7\/11) assuming c is positive.\nAnswer: c**(-4397\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} {"text":"Question: What is 7061 (base 13) in base 10?\nAnswer: 15458","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 2, -4, 127, 7, 5 in ascending order.\nAnswer: -4, -3, 2, 5, 7, 127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1416205 is divided by 190?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -10 in -386, 0.2, 24.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 781683 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {h: 9, u: 2, d: 1, t: 1}. Give prob of picking 1 d and 1 h.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = 28*w + 13. Let j be b(-2). Suppose 23 = i - 60. Let s = i + j. Does 20 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = 3*k**2 + 125*k + 1274. Calculate q(-23).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 220\/(-63) + (-500)\/2250?\nAnswer: -26\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 954 is divided by 158.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Factor s**4 - 6*s**2 + 8*s - 3.\nAnswer: (s - 1)**3*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h = -463 + 877. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -464407644431 take away 0.4?\nAnswer: -464407644431.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 51926279 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*k + 6 = -2*k. Let u be (-189)\/(-14) + 1\/k. Solve -2*a = -0*a + 2*c - 6, 5*c - u = -4*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -38 + 5?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) be the third derivative of -h**5\/30 + 23*h**2. Suppose -b = 3*b - 32. Let c(f) = -b*f + 30 - 15 - 15. Give u(c(i)).\nAnswer: -128*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = -4*h**3 + 3*h**2 + 3*h + 3. Let x(p) = -44*p**3 + 32*p**2 + 32*p + 32. Let o(j) = -77*j - 151. Let m be o(-2). Determine m*x(n) - 32*b(n).\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*a = -3*y - 9 + 5, -y + 3*a = 6 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is next in 620, 618, 616, 614, 612?\nAnswer: 610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: ((-26)\/(-65))\/((8\/5)\/(-1))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round 32689.6727 to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) -1\/3 (b) 14\/3 (c) -4\/11 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 z and 1 c when two letters picked without replacement from {c: 2, n: 2, z: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i = j - 418, -2*j - 3*j + 2200 = 2*i. Suppose 2*d = 4*a + j, 0*d = -d - 3*a + 229. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -2399000 to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 119*z = 13*z - b - 111, 80*b + 24 = z + 75*b for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 5 - -148521?\nAnswer: 148526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q - 13 = -4*w - 7*q, -4*q - 8 = -w. What is a in -w*a + 8*a + 3*a + 3*a + 5*a**2 = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: (-66)\/(-11)*(-1)\/(-3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x = 168\/131 + -635\/393. Let m = -637\/6 - -9551\/90. Which is the fourth smallest value? (a) x (b) -1 (c) -1\/2 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1 and 43.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = -q**3 - 5*q**2 - 3*q - 6. Let a be b(-5). Suppose a = 15*k - 14*k. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -39 - -28. Let j be h - (-1)\/((-3)\/12). Let v be ((-18)\/5 - -4)\/j. Which is smaller: 0 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(448) + 1)*-1 - ((-1 + sqrt(448) + 0)**2 - sqrt(448)).\nAnswer: -450 + 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.3 - -0.3. Let p be (0 - (-12)\/(-18))*6\/10. Which is the nearest to -1\/4? (a) z (b) p (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1046, -1043, -1040?\nAnswer: -1037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/28 + 13\/(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Put -20, -12, 5 in increasing order.\nAnswer: -20, -12, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -148 (b) 65 (c) 2\/107\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 424 minutes after 8:51 AM?\nAnswer: 3:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x = 2\/941 + -957\/7528. What is the nearest to 4 in 19.8, 5\/3, x?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 253796057?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -410498*a - 228507 + 228507.\nAnswer: -410498*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 7253.28 rounded to the nearest one hundred?\nAnswer: 7300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 171143419?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = p**2 + 51. Let m be r(0). Suppose 6 - m = -3*a. What is the greatest common factor of a and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -24.9 - -25. What is the closest to v in -1\/2, 4, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 17156 - 17156.4. Let d = -8.5 - -4.7. Put d, p, -0.2 in decreasing order.\nAnswer: -0.2, p, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = -6*x. Let p(g) = -3*g. Let b(k) = 3*c(k) - 3*p(k). Let j(w) be the third derivative of 7*w**5\/60 - 4*w**2 + 1828. Determine b(j(s)).\nAnswer: -63*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = 3914*t + 79947. Calculate k(-21).\nAnswer: -2247","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 22, 32, 42, 52?\n\"Answer: 10*l + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is d (base 14) in base 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d be 1*1*(-6)\/42*-2. Sort 1, 7, d, -5 in decreasing order.\nAnswer: 7, 1, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 3422 + -581. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together 2689 and -0.4.\nAnswer: 2688.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = -f**3 - 8*f**2 + 21*f + 34. Let w be m(-15). Round w to the nearest 100.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -3 + 23. Let x(i) be the second derivative of 8*i**3\/3 + 4*i**2 + 160*i - 2. Let w be x(p). What is the greatest common factor of 41 and w?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 338, 355, 380, 419, 478, 563?\nAnswer: 680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -13843, -13914, -13983, -14050?\n\"Answer: r**2 - 74*r - 13770","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 170269*0.3.\nAnswer: 51080.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -2907369 divided by 1899\nAnswer: -1531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y = 3 - 9. Let s = -2.48 - -2.48. Is y bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2596245, -5192465, -7788685, -10384905?\nAnswer: -12981125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s = 5550.35 + 530006.65. Let y = -535557.799986 + s. Let k = 0.8 + y. What is k rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o - 3*p - 69 = 0, -p = o - 6 - 6. Let d = 19 - o. List the prime factors of -13*3*d\/(-12).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 11090 is divided by 24.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1776*f + 2957 + 445*f + 445*f + 437*f - 2*f**3 + 447*f to the form v*f + i*f**3 + n + q*f**2 and give n.\nAnswer: 2957","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 7654.72 decades?\nAnswer: 918566.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is (-60)\/(-8)*(15\/10)\/((-27)\/36)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 3 and 20.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = 8*z. Let n(y) = -17*y - 1. Let c(f) = 6*n(f) + 13*u(f). What is c(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 1135*h + 480*h - 18*h to y*h + a and give y.\nAnswer: 1597","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 5*-2 - (9639\/(-14))\/51?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.571 - -0.57056. What is k rounded to 5 decimal places?\nAnswer: -0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -7412*d + 7418*d = 102 for d.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*u**3 + u**2 - u**2 + (-u - 2 + 2)*(0*u**2 - 3*u**2 + 4*u**2) + 0 - 2*u**3 + 0 + (-120*u**2 - u**2 + 3*u**2)*(5*u - u - u).\nAnswer: -359*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 112 a factor of 29120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*c - 3 = 29. Let b(n) be the first derivative of -3*n + n**2 - n**3 - 2 - 1\/4*n**c. Calculate b(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -2 + 5 - (5 - 5 - 4)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j be 2\/4 - 6\/(-4). Let t be (1992\/12585)\/(162\/225). Let v = 2\/839 + t. Sort v, j, 1 in descending order.\nAnswer: j, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -65121181.40055 + 65118871. Let y = -2309 - w. Let a = 1.4 - y. What is a rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 - 2*m**3 + 3)*(0 + 3 - 2)*(-m + 3*m - m + (-2*m + 3*m - 2*m)*(2 + 0 - 8) + 3*m + 6*m - 2*m)*(-m + m + 2*m).\nAnswer: -56*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i be (8\/(-12))\/(2\/15). Let t be (i\/(-10))\/(1\/(-2)). What is the smallest value in -2, 5\/4, t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find m such that 3095*m**2\/2 + 634*m\/3 + 2\/3 = 0.\nAnswer: -2\/15, -2\/619","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 719798 and 142.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = 2*n + 11. Let z be t(-5). Let l be 2 + -3 + z + 4. Solve -1 = -l*c - 9 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -1216021 + 41?\nAnswer: -1215650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is q in -q**2 + 600*q - 2384 = 0?\nAnswer: 4, 596","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -7 - (-19 - -27) - (-1)\/((-6)\/(-90))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round -2.178 to 0 decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i - i = -10. Suppose i*b - 136 = 74. Suppose -b = -j - 2*j. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = 3*i**2 - 6*i - 5. Let k = -4 + 24. Let p(w) = -3*w**2 + 7*w**2 + 9*w**2 - k - 5*w - 20*w. Let y(u) = -18*a(u) + 4*p(u). Let y(o) = 0. Calculate o.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 738?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 37\/5 of a millennium in months?\nAnswer: 88800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l + 3*l = -2*a + 86, 0 = a + 2*l - 40. Let c = a - 43. Solve 4*z = 3*w + 3, -w = -0*w + c*z - 12 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 7404 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: (-2)\/16 - (8967\/(-504))\/61\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = -28*i - 92. Let h be f(-5). Suppose h*a + 45575 = 73*a. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 150 - 2143\/14. Find the common denominator of 35\/4 and l.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-3)\/8)\/(4\/(80\/(-15)))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 9173.49ms to seconds.\nAnswer: 9.17349","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 192*q**3*w + 2*q**3 + 130*q**2 + 4*w wrt w.\nAnswer: 192*q**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*x - 8*x - 3*w - 123964 = 0, 3*x - w - 92978 = 0. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 3 + 4\/4 - -669. Suppose v + t = 2*v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = -7*x + 5. Determine f(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h = -118.2 - -108. Let p = h + 10. Sort -1, -2\/3, p.\nAnswer: -1, -2\/3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify o**(-3\/2)*o*o*o**1*o*o**3*o**6*o*o*o**(-2\/9)*o*o\/o**(-1)*o*(o\/o**(-1\/4))**(-6) assuming o is positive.\nAnswer: o**(88\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s = 21510 - 86037\/4. Factor 1\/2 - 5\/4*p - 1\/4*p**4 + 1\/4*p**3 + s*p**2.\nAnswer: -(p - 1)**3*(p + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 514673 is divided by 175?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} {"text":"Question: Let b(t) = -72 + 15*t - 15*t + 22 - 6*t. Let l be b(-9). Solve a - 3*h = l*a, 5*h = 25 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*c + 2*c - 20 = 0. Let a = c + 6. Let x be (-8)\/(-4)*-1*-2. Solve w - 10 = a*o, o = -o - x*w + 10 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) be the third derivative of -661\/320*b**6 + 251\/560*b**7 - 2*b**3 + b**4 - 1\/32*b**8 + 203\/80*b**5 - 28*b**2 + 0 + b. Let a(o) = 0. Calculate o.\nAnswer: -2\/7, 1\/4, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = -19*d + 1478. What is the remainder when p(69) is divided by 51?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -31\/3186 and -79\/1266?\nAnswer: 672246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*s = -3*s + 15. Suppose -s*d + 3*d + d = 0. Suppose -2*y + 116 + 114 = d. List the prime factors of y.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (14 + 42 - 11)*(12*t + 5*t + 29*t)*(-4*t**3 + 4*t**3 + 2 + t**3).\nAnswer: 2070*t**4 + 4140*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -6 - ((-33 - (7 + -1 - (31 - 16))) + 3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} {"text":"Question: Let f = 43\/26 + -28\/13. Let w = -12 - -11.78. Which is greater: w or f?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 799 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(2057) - (sqrt(2057) + sqrt(2057) + 1 + 2)) + (sqrt(2057) - sqrt(2057)*-5)**2*3 + sqrt(2057).\nAnswer: 222153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) be the second derivative of y**4\/12 + 7*y**3\/6 - y**2 - 10*y. What is the tens digit of i(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of m**3*z**4 + m**3 - 104*m**2 + 49*m*z**4 wrt z?\nAnswer: 4*m**3*z**3 + 196*m*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -0.01881 rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in -2, 0.4, -416?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = -6*y - 6 + 53*y**2 - 9*y**2 + 10*y**2 + 6*y**2. Let p be s(9). What is p rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.060649 to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is ((-40)\/80)\/(150\/36*3\/(-2))?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 73781.57um?\nAnswer: 73.78157","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b be (4\/4 - 4)\/(3\/2). Sort -1, b, -6.\nAnswer: -6, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.07 in -314, 1, 2, 0.212?\nAnswer: 0.212","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.0558 and -891.\nAnswer: -49.7178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -34*f - 38*f = 144 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 17*x + 47 - 233 = 69 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence qbbb when four letters picked without replacement from qbbb.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 9619 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c = -88 - -92. Solve 31 = c*g + 11 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = -m**3 - m + 84. Let y be z(0). Suppose 4*u - 2*o = -0*o + 76, -3*o = 5*u - y. Calculate the highest common divisor of 2 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.8 + 0.7. Let t = -0.2 - w. Suppose -4*p - p + 5 = 5*l, -l + 13 = -3*p. Which is the closest to -3\/2? (a) t (b) 0.2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*x**3\/2 - 393*x**2\/2 + 795*x\/2 - 399\/2.\nAnswer: -3*(x - 1)**2*(x + 133)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) be the second derivative of h**4\/12 - 7*h**3\/6 - h**2\/2 + 8*h. Calculate z(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (58*u**3 - 51*u**3 + 70*u**3)*(-u + 0 + 0) to p*u**2 + k*u**3 + t*u**4 + w + c*u and give t.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = 7*n**2 + 38*n + 11. What is the hundreds digit of g(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 b and 1 m when two letters picked without replacement from mmbbbmbbbbmbbbmb.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Work out -4 + 0.60424297222295.\nAnswer: -3.39575702777705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -1111 (base 9) in base 4?\nAnswer: -30310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 29 divide 21083?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = -h**2 - 4*h + 7. Let f be a(-5). Let y(u) be the first derivative of 1\/3*u**f - 2 + 0*u - 2\/9*u**3. Suppose y(g) = 0. Calculate g.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -104 - -107 - ((-4 - (0 - -3)) + -2)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0.07 + -2.27. Let l = -4 + 6. Let n = u + l. What is the closest to -2 in -1, 0.5, n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -29 - -29. Let k(z) be the first derivative of -2*z**2 + 1 + f*z + 0*z**3 + 1\/4*z**4. Find the second derivative of k(w) wrt w.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + (3 + 3 + sqrt(425) + sqrt(425) - sqrt(425)))**2 - (4*(-2 + sqrt(2057) + sqrt(2057)*-1))**2.\nAnswer: 60*sqrt(17) + 397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r = -43 - -45. What is the first derivative of 19*c**4 - 137*c**2 + 137*c**r - 15 wrt c?\nAnswer: 76*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -16 + (-7)\/2 + 47?\nAnswer: 55\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*g - 445 - 30. Is g + -2 - (-12)\/3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together 12428 and 945587.\nAnswer: 958015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from guxqgzqpp. Give prob of sequence qxq.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Divide 570807732 by 6.\nAnswer: 95134622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express 62*f - 16*f - 2560*f**2 - 16*f - 30*f in the form t + d*f + b*f**2 and give b.\nAnswer: -2560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-5)\/(-5)*-6*(-3 + -2)\/(-10). Put 4, d, -2756 in descending order.\nAnswer: 4, d, -2756","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {q: 1, t: 6, c: 2, a: 2}. What is prob of picking 2 t?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {t: 1, p: 2, w: 1, l: 4, x: 2, d: 2}. What is prob of sequence dx?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 30729 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 4 - (2 + (-2 - (-4 - -5)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 2 + 222320?\nAnswer: 222322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2059819?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = s**2 + 2*s + 4. Give d(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (55\/(-2))\/(-5)*2600\/1100.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 26490?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = -z. Let j(p) be the second derivative of -203*p**3\/3 - p**2\/2 - 170*p. Determine j(v(b)).\nAnswer: 406*b - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from dvlidpv. What is prob of sequence dvl?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-8)\/48 + (-145)\/(-6). Suppose 2*z = -10*z + l. Which is the nearest to 1? (a) z (b) -5 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1702824204.\nAnswer: 2, 3, 29, 331, 14783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -85159188 times 0.2\nAnswer: -17031837.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = -55*b**2. Let o(w) be the first derivative of 4*w - 19*w**2 - 157 + 18*w**2 - 12*w + 8*w. What is j(o(m))?\nAnswer: -220*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = -28*t + 267. Calculate the remainder when 70 is divided by p(9).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 56 minutes before 12:23 AM?\nAnswer: 11:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 1334599*n**2 + 417*n - 593 wrt n.\nAnswer: 2669198","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} {"text":"Question: Let d(k) be the third derivative of -k**7\/105 + k**6\/10 + 8*k**5\/15 + 2*k**2 + 72*k. Determine n, given that d(n) = 0.\nAnswer: -2, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Add -1.5 and -211326.\nAnswer: -211327.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j = 65 - 38. Let d = 38 - j. What is the least common multiple of d and 9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 9, -4, 1.1, 2, 1 in descending order.\nAnswer: 9, 2, 1.1, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Put together 9.07506914 and -24187.8.\nAnswer: -24178.72493086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = 2*s**2. Let f(k) = 4328*k**2. What is j(f(a))?\nAnswer: 37463168*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -81 in -0.124, -1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f = -8\/19 + -3\/38. Let x = -2.1 - -6.1. Which is the nearest to f? (a) x (b) -1\/2 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1258021, 2516131, 3774241?\nAnswer: 5032351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 85 = 5*p - 5*j, 4*j + j + 73 = 4*p. Suppose -3*z + p = -0. Solve f = -z*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -64\/9 + 22\/9*r**2 + 2\/9*r**3 + 40\/9*r = 0. What is r?\nAnswer: -8, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2208025 is divided by 646?\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 1694*u - 18767 = -19322 - 60429 for u.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 159 minutes after 4:47 AM?\nAnswer: 7:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:34 AM and 2:56 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = 0*w**2 + 14 - 11 - 5*w**2. Let g(q) = q. Give b(g(f)).\nAnswer: -5*f**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) be the first derivative of b**7\/30 - 7*b**5\/60 - 5*b**2\/2 + 3. Let m(j) be the second derivative of q(j). Find the third derivative of m(o) wrt o.\nAnswer: 168*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -83\/5, 0.5, 11\/4 in decreasing order.\nAnswer: 11\/4, 0.5, -83\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence vott when four letters picked without replacement from ttvjtovdodotoottvoot?\nAnswer: 49\/6460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -3.324 - 45?\nAnswer: -48.324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r - 2*b = 20, 5*r = -0*r + 4*b + 31. Suppose -4*y - 12 = r*j, -4*j - 4*y - 3 = -3*y. Suppose m - 3 = -j. Solve 0 = 7*x - m*x - 16 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g - 6 + 0 = -3*f, 3*g - 2*f - 3 = 0. Let j be 3\/(-6)*(-10)\/((-3)\/g). Which is the second biggest value? (a) -0.3 (b) 2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 1 - 12014?\nAnswer: -12013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 4 + 1 + (0 + 1 + 0)*(-2 + 5 - 1) + 0 - 3 + 5)*((3 + 3 - 4)*(2*d - 2*d**5 - 2*d) - 515*d**2 + 515*d**2 + 56*d**5).\nAnswer: 156*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) be the first derivative of -k**3\/3 - 4. Let l(y) be the second derivative of y**4\/3 + y. What is q(l(p))?\nAnswer: -16*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -2, 14, 3, 0, 17 in increasing order.\nAnswer: -2, -1, 0, 3, 14, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*j - 5*j + 9. Suppose 2*w - 16 = -2*d, -2*w - 2 = -2*d - 10. Solve -j*p - 12 = 3*g, w*g = -3*p + 2*g - 11 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-3)\/(2\/(8\/(-6))). Suppose 5*m - 6 = 4. Let r be (-2 + 2)\/(-4 - -3). Solve r = -m*v + f*j + j + 12, -v - 12 = 3*j for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -5 - (0 + (-1 - 3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 87266 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m be (2\/4)\/((-374)\/44*2\/(-102)*6). Factor 0 + 41\/2*w + m*w**2.\nAnswer: w*(w + 41)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 0.2 greater than or equal to 1.16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 386*d - 390*d + 32 = 0 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Add together 2 and -0.233449.\nAnswer: 1.766551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) be the first derivative of 1\/11*r**4 + 3 - 4\/33*r**3 - 2*r + 1\/11*r**2 - 2\/55*r**5 + 1\/165*r**6. Let k(g) be the first derivative of h(g). Factor k(p).\nAnswer: 2*(p - 1)**4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n = -2, -5*u - n = -0*n + 54. Let v(m) = -3*m - 8. Let g be v(u). Calculate the highest common divisor of g and 275.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7790581 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*k = 4*o + 8, -2*o = 3*k - 868 + 882 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l + 5*y + 13 = 0, 2*y - 6*y = 4*l + 4. Suppose 16 = 4*b + 3*t, 0*b - 4 = -b - 4*t. Let v be (b\/5)\/(1 + 34\/(-30)). Put l, v, 1\/5 in descending order.\nAnswer: l, 1\/5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 11751, 11857, 11963?\n\"Answer: 106*k + 11645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 238.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -28\/3699 and 76\/411.\nAnswer: 3699","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 12\/4*1\/3*-5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*t - 3*g = 0, 4*t + 3*g + 0 + 1 = 2*t + 1 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w be -6*(-4)\/60*20\/(-4). Which is the second biggest value? (a) w (b) -3\/11 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from llqmmllqllmllmlmm. Give prob of picking 2 q and 2 l.\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b be 6*(0 - 1\/(-2)). What is the nearest to -0.4 in b, 0.3, 2\/15, -1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = -2*i + 1. Let y(s) = -s**2 + 12*s + 5. Let l(r) = 5*n(r) + y(r). Determine l(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 23 and -0.0745?\nAnswer: -1.7135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o be (2\/(-44))\/(11*(-4)\/(-528)). Which is the fourth biggest value? (a) -0.1 (b) -2\/21 (c) 0.2 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -87 - -1472\/17. Let z = 257\/119 - v. Which is smaller: z or 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence knk when three letters picked without replacement from {g: 1, n: 1, k: 2, c: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1062 - 1030 - 5*c**2 + 2092.\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Add together 1750 and -21.93.\nAnswer: 1728.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 46\/35 or 0.068?\nAnswer: 0.068","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put 2\/3, -3\/5, 173, -1 in descending order.\nAnswer: 173, 2\/3, -3\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 84 and 189.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = 5*i**3 - 6*i**2. Let x(b) = 4*b**3 - 7*b**2 - 1. Let w(z) = -7*l(z) + 6*x(z). Suppose -2*a - 2 = 4. Let n(u) = -4*u**3 - 2. What is a*w(t) + 8*n(t)?\nAnswer: t**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2861743, 2861737, 2861731?\nAnswer: 2861725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -74\/41 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 100373?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*-2*sqrt(3)*5 - ((-3 + sqrt(3)*-1 + sqrt(3) + sqrt(3))**2 + -4) - -2*(2 + 1 + sqrt(432))**2*-1.\nAnswer: -890 - 188*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = 4*k**2 + 14*k + 3. Give n(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u be (0 + -2)*(-51 + 53). Let q(t) = -3*t - 9. Let r(h) = 2*h + 8. Give u*r(i) - 3*q(i).\nAnswer: i - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 598421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -m + 4*c - 15, 5*m - 3*c + 11 = 4*m. Let i(p) = -m + p + 0*p + 0*p - 2*p. Let k be i(-5). Solve 5*r - 16 = 3*t, -3*t = r - k - 10 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -42735 (base 12) to base 13\nAnswer: -30a5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 3554959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o be 3 + (-3)\/((-3)\/517). Suppose 4*s + o = 5*p, p + 2 = -s - 137. Is (12 - s)*(-1 - 5\/(-3)) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 16\/40*(75 - 0). Suppose 2*n + w = 3*n + 5*m, 5*n - 4*m - 34 = 0. Put 5, n, -4 in descending order.\nAnswer: n, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -2202 (base 8) to base 10.\nAnswer: -1154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {b: 1, f: 1, x: 7, k: 5}. Give prob of picking 1 b and 1 f.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c be (8\/6)\/(24*(-2)\/(-36)). What is the nearest to c in -0.3, 3\/5, -69\/8, -5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (35\/2)\/5*(-14)\/(-70)*10.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 12005035?\nAnswer: 5, 7, 71, 4831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -3838204, -7676403, -11514582, -15352735, -19190856, -23028939, -26866978?\nAnswer: -30704967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = -6*f**3 + 3*f**2 + 7*f + 8. Let d(z) = -2*z**3 + z**2 + 2*z + 3. Determine -7*d(y) + 2*r(y).\nAnswer: 2*y**3 - y**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let 9*i**4 + 156*i**3 + 627*i**2 + 624*i + 144 = 0. Calculate i.\nAnswer: -12, -4, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Does 125 divide 1306750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-3*(-6)\/(-32))\/(9\/(-12)). Which is the closest to j? (a) 4 (b) 1\/2 (c) 1\/4 (d) 0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -7149.46906 rounded to the nearest ten?\nAnswer: -7150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = 80*d + 2. Let u(l) = 1521*l + 39. Calculate 39*m(p) - 2*u(p).\nAnswer: 78*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w + 36 = -0*w. Let a(j) = -6*j - 62. Let y be a(-9). Let l = w + y. What is the remainder when 17 is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 3.5 - 3. Let v = -0.2 + 0.1. Let d = v + 0. Which is the biggest value? (a) 2 (b) d (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.284998094228+-96\nAnswer: -96.284998094228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 232 and 59160.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -1501, -5563, -12177, -21349, -33085, -47391?\n\"Answer: -l**3 - 1270*l**2 - 245*l + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = 2*n - 23. Let s be r(13). Suppose l - 11 = 3*l - 3*m, s*l + m = 11. Solve -g - l*i = 4, i + 1 = -2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -38 + -7 - -35 - (-89 + 9 + -4 + -9)\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence az when two letters picked without replacement from qqaaqazaqa?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1896 divided by -6.\nAnswer: -316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (38\/70 - 2\/5)*(7080255\/(-494))\/(-315)?\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 7*44*8\/224\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19927 = -3*w - 1984. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 22 (base 9) to base 13\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 + (-2 + 0 - -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x = -4.1 + 0.1. Let k = -6.37 - -2.83. Let s = 0.54 + k. Which is the smallest value? (a) s (b) x (c) 0.2 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = 3*f**2 - 6*f + 3. Let j = 2161 - 2144. What is the remainder when h(5) is divided by j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from lelllllell. Give prob of sequence lle.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Does 30 divide 820220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -56, -56, -58, -62, -68?\n\"Answer: -i**2 + 3*i - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {c: 2, o: 1, u: 1, y: 1, b: 1, e: 2}. What is prob of sequence uebo?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 7 (b) 5 (c) -3629 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1366063514.\nAnswer: 2, 15971, 42767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*w - 3*k + 13 = 0, -3*w - 4*k = -21 + 6. Let y = -374\/63 - -4987\/504. Calculate the common denominator of y and (0 + 1)*w\/15.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -27, -55, -0.5, 1, 2\/9, 4 in increasing order.\nAnswer: -55, -27, -0.5, 2\/9, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 36719 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -3 (base 4) to base 8\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 105*y**3 + 173*y**3 - 50*y**3.\nAnswer: 228*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -12622, -13090, -13558, -14026, -14494, -14962?\nAnswer: -15430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r = -7 + -131. Let s = -137.8 - r. What is the closest to s in -2, -10\/9, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -337 + 169 = 21*o for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = 1 + 2*s**2 - 1 - 5 - 7 - 8*s. Let x be q(7). What is the greatest common factor of x and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 1 (base 6) to base 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 23945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = -g**3 + 27*g**2 + 29*g + 14. Is y(27) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1725 and 675.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -5 (b) 2 (c) 1\/1728 (d) 3\/4 (e) 46 (f) 0.13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -46*a**5 - 45*a**3 + 4074*a.\nAnswer: -920*a**3 - 270*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = 6*j**3 - 20*j**2 - 24*j + 21. Determine d(6).\nAnswer: 453","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -50 and -108?\nAnswer: 5400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n be ((-5)\/(30\/(-34)))\/(2\/6). What is the highest common factor of 1 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -75\/116 and 35\/(-240)*(-148)\/14?\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000010726 rounded to six dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + ((sqrt(567) + 2)*6)**2 + -1.\nAnswer: 1296*sqrt(7) + 20555","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -3302 + 103013?\nAnswer: 33111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate (3\/6)\/(((-275)\/(-10))\/(-11)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -3, -13, 4, 162, -1 in descending order.\nAnswer: 162, 4, -1, -3, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {h: 4, k: 9, m: 4, f: 2}. Give prob of sequence khf.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 26965.13 centuries in years?\nAnswer: 2696513","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 421 minutes before 9:23 AM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 7 (b) 3 (c) 1 (d) -0.1 (e) 1\/13 (f) 1\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 0.1248914 tonnes?\nAnswer: 124891400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -162799 or -1953571\/12?\nAnswer: -1953571\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange m**2 + m + 5 - 2*m**4 - 16 + m**4 - 33*m**3 + 34*m**3 to the form r + d*m**2 + a*m + i*m**4 + l*m**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 100 and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence cnc when three letters picked without replacement from cnncccccncccnc?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1.6 + -1.12. Let b = n - 0.503. What is b rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -30923, -61854, -92787, -123722, -154659, -185598, -216539?\nAnswer: -247482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 257365 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -990039314.099 minus -3?\nAnswer: -990039311.099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*b = y + 61, -2*y - y - 219 = 3*b. What is the tens digit of (-4)\/(-10) + (-33362)\/y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) be the third derivative of -l**6\/360 + l**5\/15 - l**4\/3 + 28*l**3\/3 + 68*l**2. Let y(f) be the first derivative of m(f). Give y(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 281 (base 11) to base 16\nAnswer: 14b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -71, 2, -6, 3, -5, -66, 1.\nAnswer: -71, -66, -6, -5, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w = 41 - 40. Let q be 0\/((4\/(-2))\/w) + 104. List the prime factors of (-16)\/q + (-1302)\/(-13).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 69 - 69. Suppose -3*f - 6 = r, 6*f - 644 = -p + 3*f. Suppose 0 = n - 5*n - 3*j + p, -477 = -3*n + 3*j. What are the prime factors of n?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*k = -12, -2*r - k + 399 + 15097 = 0. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = -724*f - 534*f**2 + 564*f**2 + 724*f. Let p(n) = 58*n. Give d(p(q)).\nAnswer: 100920*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = -2*z - 4. Let k(p) = -5*p - 11. Determine -4*k(t) + 11*s(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = -k**3 + k**2 + 2*k. Let z(f) = 1246*f**3 - 3*f**2 - 6*f - 2. Give -3*y(s) - z(s).\nAnswer: -1243*s**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 47232292 and 0.2?\nAnswer: 9446458.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1877979583?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 58 - (-8 - (43 - (17 - -3)))?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-2 - -2)*1\/(-3). Let r = 1 + 1. Solve r*k + 2*k = c for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2\/9*q**3 + 46\/9*q**2 - 188\/9*q + 16 = 0. Calculate q.\nAnswer: 1, 4, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 41*a = 65710 + 2555. What is the remainder when a is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together -13 and 40389123271.\nAnswer: 40389123258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many kilometers are there in 829831.5 millimeters?\nAnswer: 0.8298315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -3342331 + -2?\nAnswer: -3342333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 151411327?\nAnswer: 151411327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3638039?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 21884, 22543, 24330, 27809, 33544?\n\"Answer: 94*u**3 + u + 21789","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*j = -4*u + 11, 4*u + 223 - 243 = 4*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1331 + 1331 + 2*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in -1, 2\/13, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from kwzttcwkvvwkwww. What is prob of sequence ctz?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = m**2 + 7*m - 2. What is k(-5)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: ((-442)\/(-182))\/(42\/(-98))\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*a + 13 + 15. Let t be (-80)\/a - 4\/14. Let z(g) = -g**3 - 5*g**2 + 4*g. What are the prime factors of z(t)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = -146*l - 601. Determine d(-4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -77440000 rounded to the nearest one million?\nAnswer: -77000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 0.989057 rounded to two dps?\nAnswer: 0.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {h: 3, q: 4, z: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 5497*g**4 + 1047*g**2 + 175001259 wrt g?\nAnswer: 21988*g**3 + 2094*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = 7*y - 9. Let h = y - -7. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -176 - -391c99?\nAnswer: 391b23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 320\/3 - 80\/3*a + 5\/3*a**2 = 0 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (36*(-19)\/(-912))\/(57\/(-16))?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = k**2 - 4*k + 13. Calculate the remainder when x(-5) is divided by (-2 - (4\/2 - 1))*-3.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 512 minutes after 6:38 PM?\nAnswer: 3:10 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} {"text":"Question: Expand 16*a**4 + a**4 - 10*a**4 - 3*a**2 + 3*a**2 + 2*a**4 + (a**4 + 2*a - 2*a)*(5 - 1 - 2) + a**4 + a**4 - 3*a**4 - 2*a**4 - 2*a**4 + 6*a**4.\nAnswer: 12*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(84) + -5*sqrt(84)*1 - sqrt(84))\/(2*2*sqrt(4) + sqrt(4) - sqrt(4)))\/((1*1*sqrt(63))\/(-6*sqrt(27)\/sqrt(3))).\nAnswer: 15*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1538740 is divided by 170957.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 2193 and 387?\nAnswer: 6579","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = 2*x - 6. Let t(z) = z - 2. Let r be t(7). Let v be c(r). Suppose 3*d - 7 = -4*g, g + 1 - 20 = 5*d. Solve -g*w = -16 + v for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = 54*m**3 - 2. Let t(f) = -f**2 - 3*f. Let y = 1 + -3. Let c be t(y). Let r be a(c). What is r rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -1643, -1364, -1165, -1046, -1007, -1048?\n\"Answer: -40*n**2 + 399*n - 2002","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (210\/(-245))\/(24\/(-56))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2911, 5743, 8575, 11407, 14239, 17071?\nAnswer: 19903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-10)\/30)\/(11\/330)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express (-b + b - 2*b + (1 + 4 - 3)*(-3*b + 3*b - 2*b) - 3*b + 6*b - b)*(237 - 170 - 201) in the form p + f*b and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand -5*b**3 + 2*b**3 + b**3 + 2*b**3 - 3*b**3 - b**3 + (b + 0*b - 2*b)*(3*b**2 + 2*b**2 - 3*b**2) + b**3 - b**3 - 2*b**3 - 2*b**3 - 2*b**3 + 5*b**3.\nAnswer: -7*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}