diff --git "a/data/dm_maths/full_data/1037_11255.jsonl" "b/data/dm_maths/full_data/1037_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1037_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: b\"What is the fth term of -16, -9, 0, 11, 24, 39, 56?\n\"Answer: f**2 + 4*f - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.37 - -0.27. What is the closest to -0.3 in t, -2\/9, 0.5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 297*k - 6551 = 131*k + 753 for k.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 18*j + 2. Let d(r) = -761761*r. What is d(z(b))?\nAnswer: -13711698*b - 1523522","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/78 and -125\/912.\nAnswer: 11856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*h + 7*k - 2*k, 0 = -2*k + 8. Let b(x) = -38*x + 4. Let t be b(h). Suppose 0 = -3*f - 2*f + t. Is 19 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -34 + 9. Suppose -b*o + 10 = 0, 4*r - o + 17 = -9. Let l(p) = p**2 - 5. Is 12 a factor of l(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 71*s**2 + 8*s - 3. Let h be z(5). Suppose 4*u + j = h, -4*u - 6*j + 2*j = -1800. Suppose -26 - u = d. What is d rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = -9*t - 1051 + 1076 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2\/17177, 31, -16\/7 in decreasing order.\nAnswer: 31, 2\/17177, -16\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (23*h**3 - 5*h + 5*h)*(-7*h + 2*h + h) + h**4 + 0*h**4 + 3*h**4 to the form a*h**4 + i*h**2 + w + o*h + n*h**3 and give a.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2329696479?\nAnswer: 3, 11, 59, 113, 10589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p**3 + 7*p**2 - 3*p - 5. Let m(v) = -3 - 2*v**3 + 0 + v**3 - 2*v - 3*v**2 + 6*v**2. Let u(n) = 5*m(n) - 3*z(n). Give u(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/((-7)\/(42\/(-12)))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 155\/181726188 and 95\/48?\nAnswer: 726904752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*d = 15242 + 13389 + 6505. What is the least common multiple of d and 8?\nAnswer: 4392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 731?\nAnswer: 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - (-5 + -8)) + 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 33 - (59 - 37)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10898.308868 + -2?\nAnswer: -10900.308868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - 94*y**2 - 2060*y - 193641. What is w(-94)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 2*o**3)*(-33*o - o + 3*o) as l + c*o**4 + m*o**3 + f*o + v*o**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = -8*a - 6*a + 8*j - 223, -15 = 3*j for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 518?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -923.048 minus -18?\nAnswer: -905.048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 389104.\nAnswer: 1167312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.9 + 0. Let n = u - -0.6. Sort n, 2\/5, -5 in decreasing order.\nAnswer: 2\/5, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 26*m**2*v + 16*m*v**3 - 4*m + 12*v**3 - 44 wrt m?\nAnswer: 52*m*v + 16*v**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 5*v + 79, 9*v - 280 = -5*a + 11*v. Calculate the remainder when a is divided by 30.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**5\/7 - 33*w**4\/7 - 54*w**3\/7 + 1620*w**2\/7 - 648*w.\nAnswer: 3*w*(w - 6)**3*(w + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*m**4 - 10240*m**3 + 32068.\nAnswer: -12*m**3 - 30720*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 y, and 1 x when three letters picked without replacement from {f: 3, p: 2, y: 4, x: 5, a: 5}.\nAnswer: 100\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -235864964 - 235864962 + 471729926 + 805*c**2.\nAnswer: 805*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 17*v - 7 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 0*q + 1 + 23*q.\nAnswer: 23*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*q - 2*q - 2*q + (-1 + 1 + 1)*(3*q + q - 6*q))*(-1836035*q + 1836035*q - 2017*q**2) to y*q + b + r*q**2 + u*q**3 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 118 + -593\/5. Put -1\/4, 1, -2\/23, r in descending order.\nAnswer: 1, -2\/23, -1\/4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 138 - 132 + 0*b**3 - 4*b**3 + 8*b - 6*b**3.\nAnswer: -10*b**3 + 8*b + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 212717869.\nAnswer: 7, 13, 23, 14519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 19*j = -3*j. Suppose -2*h - 250 + 328 = j. Is h even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llldddddwdldddlddld. Give prob of picking 3 l.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.583 + -0.527. What is b rounded to one decimal place?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nqzdkndqo. What is prob of sequence zn?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c**4 + 2196*c**3 + 20127*c**2 - 88776*c - 106704 = 0. Calculate c.\nAnswer: -12, -1, 4, 741","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1062?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 PM and 9:34 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -390 less than or equal to -387?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - 68?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1675 (base 11) to base 12\nAnswer: -12a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -73 + 230. List the prime factors of r.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a gram in milligrams?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4257 and 171?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1970012680?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 6*j**2 + 20*j - 11. Is f(-5) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -22*w**5\/3 + 11309*w**4\/3 + 6255208*w**3\/3 + 631085641*w**2\/3 - 9566212*w = 0. What is w?\nAnswer: -181, 0, 1\/22, 876","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1871*w + 992 = 47767 for w.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4621 - -5?\nAnswer: 4626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 2730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x + 209 = -151. Let k be x\/(-12) - (-2)\/(-1) - 2. Which is the smallest value? (a) k (b) 0.07 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 10*o - 5 = -11*o, -3*b - 5 = -o. Are b and 2\/313 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = -4*n + 15 + 19 - 18, 2*n = 2*a - 4 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3623 + -3588.38. Let c = q - -0.18. Let l = -38 + c. Round l to zero decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -87 + 96. Suppose -98 + 17 = -u*m. What is the greatest common divisor of m and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 - 9*u + 11786. Let f be z(0). Suppose 9*o - 10*o = 3*c - f, -2*c = 5*o - 7840. What is c rounded to the nearest 100?\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4278 + -4258. What is the third smallest value in -0.4, 0, 2\/9, 37, q?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 451, 904, 1353, 1798?\nAnswer: 2239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 53*o - 28*o - 3 - 22*o + 3. Let p(c) = 3*c - 5. Calculate i(p(u)).\nAnswer: 9*u - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*b - 20 = -5*t - 38*b, 4*t + 8*b - 7 = 4*b + 9 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d**2 + 15*d - 1. What is the smallest common multiple of k(7) and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qvqoofooqvovovv. What is prob of sequence voo?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -8*p + 5. Let t be m(-5). Let h be (4 + 1 + -131)*-1*(-16)\/(-32). Calculate the highest common divisor of h and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of -499*y**7\/42 - y**4\/12 - 1317*y**3\/2 - 31*y - 15. What is the second derivative of b(l) wrt l?\nAnswer: -9980*l**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 15 - 5. Suppose 0 = -v*u + 2*c + 558, -u + 2*c + 369 = 86. List the prime factors of u.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 1 (b) -16 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(560) + (sqrt(560) - sqrt(560)*2) + sqrt(2240)*1)*-4)\/((sqrt(405) + 4*-1*sqrt(405))*2).\nAnswer: 16*sqrt(7)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 5*d - 5 = 0, z - 9 = 26*d - 24*d for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171340*o + 171339*o = -3*j - 4, 4*o - j = -17 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 317 * -1.1\nAnswer: -348.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -z - z + 5*r, -5*z - 2*r + 21 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-2)\/(-9) + (-293733)\/(-243) - -8 - 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*x + 24*x + 35 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3949 = 61*o + 325*o - 3996 - 13077 for o.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1768 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 - r**2 - 4. Let d be l(0). Let j = -5383 - -5383.14. What is the third biggest value in 5, j, 0.5, d?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -67*a**2 - 57. Let n(m) be the first derivative of 200*m**3\/3 + 172*m - 44. Let r(b) = -17*c(b) - 6*n(b). Differentiate r(q) wrt q.\nAnswer: -122*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + 2. Which is the nearest to 0? (a) o (b) -1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/4*(-10)\/35*-7. Suppose j + u*h = 2*j - 82, -3*j = -4*h - 261. Is 13 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 471 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 131, 131, 97, 29, -73, -209, -379?\nAnswer: -583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 436919 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1456623 is divided by 118?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24 - 22. Suppose -w*o - 4*f = 4, o - 4*f = -3*o + 16. Factor -46*g**2 - g**5 + 51*g**2 + o*g + 3*g**3 + 0*g**5 - g**4.\nAnswer: -g*(g - 2)*(g + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -81.579929 to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1075 and -2.9.\nAnswer: 0.31175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-26)\/4*-5*2. Suppose u + q = 6*u - 5*w, 3*u - 36 = 2*w. Suppose -14 = -3*l - 5*g + 5, 0 = 5*l + 4*g - u. Is 0.2 < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*g**3 + 21*g**3 - 12*g**3 - 2 - 2*g - g**2 - g**4 + g to the form t*g**4 + x*g**3 + w*g**2 + y + q*g and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) 4 (b) 3\/8 (c) 3 (d) -22 (e) -2\/31 (f) 950.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 2*z + 23 = i, -21*i + 9 = 18*z - 15*z for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18756?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + 6\/(-3) + 3. Suppose -q*d = -5*d + 16. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d1 + 1217a?\nAnswer: 1225b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -92689?\nAnswer: -37075.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 2*g = -12. Suppose -3*w = v - 159, 2*w - 27 - 72 = -3*v. Suppose w = 6*p - 78. What is the lowest common multiple of p and g?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101765737 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*z**4 - 21*z**4 - 320*z**3 - 5*z**5 + 68*z**4 = 0.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/4*0\/(-3). Suppose m = -2*h - h + 15. Solve 1 = h*g - 9 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25045 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t**2 - 1. Let z(w) = 2*w**3 - 62*w**2 + 154*w - 97. Let m(x) = 3*d(x) + z(x). Factor m(y).\nAnswer: 2*(y - 25)*(y - 2)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -64.\nAnswer: -3\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nui when three letters picked without replacement from {u: 1, i: 2, n: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3218, -3219, -3220, -3221?\n\"Answer: -c - 3217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 132086400 divided by -137590\nAnswer: -960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 1651800 to the nearest 100000.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 + -0.1. Let u = -0.12 + -20.88. Let i = u - -34. Which is the third biggest value? (a) w (b) i (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 868 = 5*t, 3*n = t - 126 - 44. What is the common denominator of 115\/18 and (24 - 27) + t\/36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.51014 and 3.\nAnswer: 1.53042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -98 and -100938138588?\nAnswer: 100938138490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4\/(-30) + (-816)\/(-45)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5932112 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23895 + -23889. Let k = 223 + -27. What is the smallest common multiple of k and n?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, w: 4, j: 3, c: 1}. Give prob of sequence jmw.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 129, -11, -147, -279, -407, -531?\nAnswer: -651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3aec4c (base 16) in base 6?\nAnswer: 214433404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 779 and 3989423?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -6*i**3 + 2487*i**2 - 1242*i = 0?\nAnswer: 0, 1\/2, 414","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of 5*t**4\/3 + 2*t**3 + 2*t**2. What is the first derivative of h(p) wrt p?\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rd when two letters picked without replacement from {d: 2, r: 6}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -9*z**5 - 24*z**4 - 36*z**3 + 6*z**2 + 15*z. Let c(w) = -18*w**5 - 49*w**4 - 71*w**3 + 11*w**2 + 30*w + 1. Let j(r) = 6*c(r) - 11*y(r). Factor j(s).\nAnswer: -3*(s + 1)**4*(3*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(2) + 3*(-1 + sqrt(2))**2 + sqrt(16)\/(sqrt(8) + (sqrt(8) - sqrt(16)\/sqrt(2))) - (sqrt(16) + sqrt(80)\/sqrt(5))\/(2*sqrt(72) - sqrt(2)).\nAnswer: -48*sqrt(2)\/11 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 12 = -3*l, -16 = -2*l - 0*u - 4*u. Suppose 94 = -0*s + 3*s + l*g, 5*g = -3*s + 109. Solve -3*y - 3*p + 18 = 0, 0 = 5*y + p + 3*p - s for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -4*d - 33, -5*d = -6*x + 2*x - 10. Let i be (2\/(-4))\/((-1)\/d). Let w = i - 0. Which is the closest to -0.2? (a) -0.5 (b) w (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 93*l**2 + 13*l + 2. Let q(h) = -h. Let b(c) = a(c) + 5*q(c). What is the second derivative of b(x) wrt x?\nAnswer: 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0 + 81*a**3 + 0 + 15563*a**2 - 15649*a**2 wrt a.\nAnswer: 486","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 3849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (7699*c - 1367*c - 6*c + 2185*c + 9013*c)*(-6*c**2 - 12*c + 12*c) as g*c + j*c**2 + l + d*c**3 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103096*d - 1292757*d - 91854*d.\nAnswer: -1281515*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 7*v = -12*v - 1145, -2*v = -4*l + 1130. Solve -l*a + 290*a = 30 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 + 37. Let u = 11 - n. Let b = -7 - u. What is the smallest value in -0.2, b, -3\/2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006319 rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.9589*-2.\nAnswer: -1.9178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sbzzzsbz. What is prob of picking 1 b and 1 s?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*j + 75*j + 4*v - 220 = 0, -3*j - 169 = -v for j.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-3) - (-238)\/34.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 162904834*w**5 + 180*w**2 + 3419*w + 3.\nAnswer: 9774290040*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.50481918 rounded to 1 dp?\nAnswer: -7.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6042 a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -48913 + 0.1?\nAnswer: -48912.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2940953?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 minutes after 9:02 PM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let u be (-21)\/28 + 10062\/104. Calculate the greatest common factor of u and 17328.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2110709 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 9, -2295, -25 in increasing order.\nAnswer: -2295, -25, -2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 3. Let q = a - -0.6. Put -1\/2, q, -4 in decreasing order.\nAnswer: q, -1\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 6. Suppose -19385*p = -19386*p - 5*f - 30, -f = 2*p - 3. Suppose 15 = -h + 6*h. Solve -12 = h*g + 3*t, -x*g + 2*t = -3*g - p for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of 1\/3*f**3 - 2 + 3\/2*f**2 + 5*f. Is 7 a factor of c(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 80006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a**2 - 4*a**3 - 8 - 3*a + 8. Let f(k) = 3*k**3 + k**2 + 2*k. Let h(q) = 3*f(q) + 2*x(q). Determine g so that h(g) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*d - 5*d + 3*d)*(5*d**2 - d**2 - 2*d**2) + 7*d + 26 + 2145*d**3 + 2146*d**3 - 4293*d**3 - 5*d**2.\nAnswer: 4*d**3 - 5*d**2 + 7*d + 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2619 or 2621?\nAnswer: 2619","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11319 is divided by 941.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 take away 7573387?\nAnswer: -7573387.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -11*s**3 + 2*s**2 + 2*s + 22. Let u(i) = -3*i**3 + i**2 + i. Give -2*u(g) + v(g).\nAnswer: -5*g**3 + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - s - 2 = 0, -2*k + 4*s + 62 = 40 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.8 + -2.2. Which is the third smallest value? (a) -1\/3 (b) f (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 5*g. Let r(h) = -157*h. What is q(r(t))?\nAnswer: -785*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/36 + 15\/4. Suppose 27 = m*v - 2*v - 3*h, 2*h = -5*v + 39. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 4*t = -16, -t - 26 = -6*s + s. Let x(m) be the second derivative of 0 + 1\/10*m**s - 1\/2*m**4 - m**2 + m**3 + m. Factor x(r).\nAnswer: 2*(r - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000684 rounded to 7 dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 255415.\nAnswer: 5, 23, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 348.0114 and 0.3.\nAnswer: 104.40342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 874, -2\/7, -5, -0.16?\nAnswer: 874","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19920, -159364, -537846, -1274886, -2490004?\nAnswer: -4302720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of 321*m**3 - 5*m**2\/2 - 4*m + 7. What are the prime factors of u(-1)?\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3.7, -19, 0.2, 1634, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 3*d + 45, q + 10*d - 5*d + 40 = 0. Let z(i) = -i**3 - 15*i**2 - 8. Let m be z(q). Let y(c) = 2*c**2 + 4*c + 2. What is the tens digit of y(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 866?\nAnswer: 2, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 16\/3 (b) 1 (c) 2 (d) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 981 = 2*t + 3*h, -3*t - 2*t = -2*h - 2443. Suppose t - 123 = 3*j. Let d = j + -53. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1846 divide 630554254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3760966, 3760970, 3760970, 3760966, 3760958?\n\"Answer: -2*v**2 + 10*v + 3760958","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/297 and -59\/414.\nAnswer: 13662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1 and -296.\nAnswer: -295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g**2 + 3. Give a(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 2*p = 6, -2*v - 14 = 4*p. Is (v\/3)\/(6\/(-10476)) a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -2*j + 1200. Suppose -j = -3*m - m. Let t be (-144)\/(-3) + (-2 - 18 - -12). What is the highest common factor of t and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-1*1*sqrt(200))\/(-1*sqrt(40)))\/(-5*((sqrt(10) - (sqrt(10) + (-1*sqrt(1210) - sqrt(10) - sqrt(10)))) + sqrt(70)\/sqrt(63))).\nAnswer: -4 - 3*sqrt(2)\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1101203 - -31043?\nAnswer: 1132301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - j + 13 = 5, 2*j + 2 = x. Let t(f) be the first derivative of 4\/15*f**3 + 1\/30*f**6 - 3\/25*f**5 + 0*f**x - 7 + 0*f + 0*f**4. Factor t(o).\nAnswer: o**2*(o - 2)**2*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -5 (c) 61\/5 (d) 5 (e) 0.4 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -2 - 1 - (2 - 7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 156*q + 293. Let x(r) = -70*r - 147. Give -4*c(g) - 9*x(g).\nAnswer: 6*g + 151","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, r: 2, k: 3, m: 1}. Give prob of sequence rr.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(12)\/(sqrt(16) - sqrt(4)) + -2 + sqrt(432) + (1 + sqrt(48) - sqrt(48))*-3 + -2)**2.\nAnswer: -182*sqrt(3) + 560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25.64 - 20.64. Which is the smallest value? (a) p (b) -1\/3 (c) -3\/5 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -58 - -8. Let h = z + 36. What is the second biggest value in 0.1, 2\/5, 0.3, h?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 2 = 2*h. Let r(q) = -q**3 - 53*q**2 + 60*q + 337. Let z be r(-54). Solve -2*j - h*g - 14 = 0, 2*g - 3 = 4*j + z for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/2 (b) -5 (c) -2\/3 (d) 0.4 (e) 107.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10978236*z**2 + 725*z - 263.\nAnswer: 21956472","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r + 1. Let g be f(-3). Suppose -g*c = -32 + 4. Suppose c*i - 255 = 2*i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.04936936 - -23.95066664. Let c = -91 - -115. Let n = c - q. What is n rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24748, 26660, 28572, 30484, 32396?\nAnswer: 34308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of z**3\/3 + 5*z**2 + 5*z + 812. Give g(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -73066.9 + -445.\nAnswer: -73511.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 165392*l + 117122 wrt l.\nAnswer: 165392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (144\/48)\/(3\/(-2))*2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-14)*-14*2\/(-1). Which is the nearest to h? (a) -0.3 (b) -1 (c) -0.07 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -227, -3\/7, -11337\/13, 2\/3 in increasing order.\nAnswer: -11337\/13, -227, -3\/7, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 - 0.3. Let j = -0.077 - -3.177. Let x = 1.1 - j. Which is the smallest value? (a) p (b) -0.1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56, 3, -58, -133, -228, -349, -502, -693?\nAnswer: -928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1374 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 247577854?\nAnswer: 2, 229, 241, 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/35 + -13\/35. Is z greater than or equal to -83?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9 - -87?\nAnswer: 7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -33*a**3 - 96*a**2 - 550*a - 43. Is m(-26) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 56\/12*(6 + (-1 - -1)). Solve 2*p + 22 = a for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*c**4 - 2*c**3 - 31 + 29 + 3*c**4 + (2 - 5 + 5)*(c**3 + c**3 - 4*c**3)*(10*c - 2*c + 5*c).\nAnswer: -57*c**4 - 2*c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/2, 3, 15.9, 0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-5\/2)\/(g\/(((g*g**(13\/4)\/g)\/g)\/g))*(g*(g*(g\/g**10*g)\/g*g*g)\/g*g)**43 assuming g is positive.\nAnswer: g**(-869\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-0.45.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-5440)\/(-36))\/(-40) - (-4)\/1. Which is the biggest value? (a) -39\/5 (b) s (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 72 + 28. What is the third biggest value in -3\/7, d, 2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) + (sqrt(33) - -2*sqrt(1617)))\/(2*sqrt(48) + sqrt(48) + sqrt(48)) + -5 + -5 + -2*sqrt(396).\nAnswer: -11*sqrt(11) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*h = 277 + 63 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*z - 3*z + 3*z)*(-201*z - 8 + 200*z + 62) to the form l*z + x*z**2 + m and give l.\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkkkkkkhhhkk. What is prob of sequence khh?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 3*n - 12 = 0, 2147*k = 2145*k - 4*n + 22 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -267070*c**2*l**3 - 7562*c**2*l + 2*c**2 + c*l - 4 wrt l.\nAnswer: -1602420*c**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1920400 rounded to the nearest one hundred thousand?\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-99)\/(-36) - 265\/140.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 154408, 615902, 1385060, 2461882, 3846368?\nAnswer: 5538518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9223 + 18446 - 9223 - 472*s**3.\nAnswer: -472*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2 plus -0.2297?\nAnswer: -1.4297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ztzt when four letters picked without replacement from {t: 4, z: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 + 12*p)*(244 + 142*p - 244 + (3 + 0 - 5)*(4*p + 3*p - 6*p)) + 2*p**2 + 7*p**2 - 7*p**2 to the form z*p**2 + n + j*p and give z.\nAnswer: 1682","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a*a**(3\/2)*a*a\/(a*a**(-6)\/a) assuming a is positive.\nAnswer: a**(23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-6)*97\/((-31816)\/2214)?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -537 - -2036. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1879*q + 11135 + 13367 = 4138 - 4063 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 - 12*g**2 - 7*g - 2. List the prime factors of b(-12).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i + 3*i + 3*i + 3*i - i - 3*i - 2*i - 3*i + 3*i + (-2*i - 3 + 3)*(1 + 1 + 0) + 1 - 1 + 2*i - 2*i - 4*i + 5*i)*(3*i + 0*i - 2*i).\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a (base 15) in base 11?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/24)\/(1375\/400).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/27 (b) -1 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -16*a**2 + 2*a - 4. Let r(d) = 15*d**2 - d + 3. Let h(v) = 6*i(v) + 7*r(v). What is the tens digit of h(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-5)\/10 - -3)*(-56)\/(-5). What is the highest common factor of m and 644?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 8264*t. Let n(m) = -m**2 - 8. Calculate k(n(p)).\nAnswer: -8264*p**2 - 66112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20975*c + 20972*c - 26900*c**2 - 41947*c.\nAnswer: -26900*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-65)\/13 - (-9 - -1). Is 1*(4 + u + -4) - -2030 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 790340 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5 + 1 + (6 - 6 - -8). Solve 5*w + y + 4 = -15, -m*y = -5*w + 1 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/11 + (-72)\/(-33). Suppose t*n - n = 32. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -3*b - 2. Let s be i(-2). Suppose s*t + 19 = 51. Does 8 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -61*h**2 + 42*h + 4*h**4 + 14*h**3 + 59*h**2 - 14*h**3 to n*h + c + o*h**4 + v*h**2 + t*h**3 and give n.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2296 and 208?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -d13011?\nAnswer: d1300c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - -7 - 26 - (1 - (13 + -3)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -185.50485 + -1.92115. Let g = -205 - x. Let f = -0.074 - g. What is f rounded to 0 dps?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 + 6*z - 1. Let i be t(-5). Let f = i - -11. Solve -f*q = -5*h + 20, h = 4*h - 5*q - 10 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-93)\/(-124))\/(6\/16). Solve -p*v = -5*v - y + 12, 30 = 3*v - 5*y for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 516 (base 13) to base 9.\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of k**2 + 0*k**2 + 3*k**4 - 17*k + 17*k wrt k?\nAnswer: 72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28461?\nAnswer: 3, 53, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -5, 4, -4, 6, -2, 2 in descending order.\nAnswer: 6, 4, 2, -2, -4, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1254\/(-2160) + (-968)\/21780?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 688, 689, 690, 691, 692?\nAnswer: 693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**2 + 99*g + 4. Let q(i) = -3*i**2 - 122*i - 5. Let t(x) = -5*h(x) - 4*q(x). Let w(l) = 2*l + l**2 - 3*l**2 + l**2. Calculate 4*t(s) + 14*w(s).\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 352 and 20?\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 357, 350, 339, 324, 305?\nAnswer: 282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 0. Let c(n) = -41*n**2 - n + 2. Let i be c(r). Is 6\/18 + i\/(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14690007\/5 or 2938001?\nAnswer: 2938001","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-1)*35\/(-525)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 547\/3829*(-14)\/54\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1367?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 271 divide 286613936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -28*g**3 - 13*g**2 + 33*g + 3. Let i(o) = 42*o**3 + 20*o**2 - 50*o - 4. Suppose -3*q + 6*q + 24 = 0. Let s(f) = q*m(f) - 5*i(f). Factor s(v).\nAnswer: 2*(v - 1)*(v + 1)*(7*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -356 by -2.\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/((-364)\/117)*1\/9?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 65 - 65 + 28*v + (1 - 2*v - 1)*(0 + 2 + 1).\nAnswer: 22*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-114)\/4 + (-2)\/(-4). Is -29 <= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 6*n + 7. Let f(x) = x**2 + 23*x + 28. Let z(d) = 2*f(d) - 9*l(d). Let h be z(-4). Suppose 9*y - 10*y = -h. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 205 (base 8) to base 3.\nAnswer: 11221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -394*s = -1242*s + 4031 - 29471 for s.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*f + 136 - 40 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 164095993 to the nearest integer?\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 116536, 233070, 349604?\nAnswer: 466138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 3 (b) -41689 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -4*i + 20, -i = 2*f - 2 - 3 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 15 = 4*v - 8, 5*v = 2*m + 33. Let b = 26 + v. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -5. Let r = 77 - o. What is the highest common divisor of 18 and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/4 + 1)*8. Suppose -2*d = -5*g + 23, 2 - 3 = 5*g + 4*d. Solve x = g*l - 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 29\/2 of a millennium?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1788 + -1784. Suppose 5*w + 11 = -a, a + 5 = 3*a + w. Solve 0 = 4*g - a*s, u*s + s - 2 = 3*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36633173 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oghohghhhggh. What is prob of sequence ghh?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 89, 0.5, 0.1, -0.4, 5, 0.012?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32 - 821*k**4 + 2*k**3 - 4*k**2 - 49 + k + 820*k**4 to q*k**2 + f*k + r*k**3 + m*k**4 + d and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5599, -4995, -4425, -3883, -3363, -2859?\nAnswer: -2365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3308*r - 3306*r = -6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7)\/35 + 102\/10. Let u be 375\/a + (-3)\/(-2). Suppose -u = -3*j - 3*f, -5*f + 34 = 3*j - 9. What are the prime factors of j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5817101190 to the nearest one million.\nAnswer: 5817000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((2*sqrt(625) + sqrt(25))\/sqrt(5))**2.\nAnswer: -605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 887782.1 kilometers?\nAnswer: 88778210000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 4914248.\nAnswer: 14742744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 1009946*r**3 + 25*r**2 + 85*r**2 - 1009905*r**3 in the form h*r + c*r**2 + o + q*r**3 and give q.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0372 * 1.\nAnswer: -0.0372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21584?\nAnswer: 2, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -36*g**4 + 95356*g**3 + 21336*g**2 - 381424*g - 84768 = 0.\nAnswer: -2, -2\/9, 2, 2649","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 1079 + -847. List the prime factors of o.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*x + 84 + 28. Let t = 8 + 67. Does 17 divide t\/2 - (-7)\/x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of 1\/120*a**6 + a**2 + 0 + 3\/2*a**3 - 1\/12*a**5 + 0*a - 7\/24*a**4. Is z(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 0*j - 2. What are the prime factors of (-852)\/(-16) + j\/8?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35, -130, -281, -412, -517, -590?\nAnswer: -625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 57*o**2 + 10832*o. Let n(k) = 9*k**2. Give x(n(w)).\nAnswer: 4617*w**4 + 97488*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - 6*u**2 - 7. Let h(l) = l - 10 - 25 + 48. Let w be h(-5). Is 23 a factor of y(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*o + 5*o + 2*o - 24*o + 35*o - 25*o + (-3*o - o + 5*o)*(0 - 2 + 0) + 0*o + 3*o - 2*o + 2*o + 3 - 3.\nAnswer: -10*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57, 225, 503, 891?\nAnswer: 1389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 8*l**2 - 157*l + 773. Let f be d(10). Factor -56\/3 - 38*r - 2\/3*r**f - 20*r**2.\nAnswer: -2*(r + 1)**2*(r + 28)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -c37?\nAnswer: -c35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 11:57 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1.2 - -580577634\nAnswer: 580577632.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4859 + -102013\/21. Is c less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 206197, 412121, 618045, 823969, 1029893?\nAnswer: 1235817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(75) + -4 + sqrt(75))*-1)**2*3.\nAnswer: -240*sqrt(3) + 948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -47*o + 20*o - 22*o. Let z(h) = -2*h. Give z(j(m)).\nAnswer: 98*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 2\/9 (b) 0.2 (c) 25.8 (d) -5 (e) -81\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -2*p - 2*c + 4, 2*p - c + 2 = 0. Let q = -7 + 17. Let v be 16\/q*(-4)\/8. Put -1\/6, p, v in decreasing order.\nAnswer: p, -1\/6, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tn when two letters picked without replacement from htwttttwbanttba.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of -n**5\/30 + n**2. Suppose 4*y + 17 = 25. Let t(p) = p**3 + y*p**3 - p**3 - 3*p**3 - 1. Give -f(g) + 2*t(g).\nAnswer: -2*g**3 + 2*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41 + 14 - 133)*(2*u - 2 + 2)*(5 - 2 - 1).\nAnswer: -312*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 113 + 0?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - (-2)\/2)\/(-1). Suppose x + 4 = 3*x. Suppose -x = -b + 2*r, -r = 3*r - 4. Solve m - h + d = 2, -2*m = -5*h + b for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nxujfqnx. Give prob of picking 1 n and 1 x.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 26*((-5)\/2 - -2). Let j(f) = f**3 + 12*f**2 - 12*f + 11. Let l be j(n). Calculate the lowest common multiple of 6 and ((-18)\/3)\/1*l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3822, -5, -4, -28 in increasing order.\nAnswer: -3822, -28, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + -4 + 5 - (-37 - -38). Let r(i) = -i**3 + 7*i**2 - 7*i. Let v be r(5). Solve 2*t + t - v = x for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-52)\/(-9295))\/(((-64)\/880)\/((-2)\/5))?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 PM and 9:24 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15 + 924\/(-63) - 4\/(-32) and 87\/1208.\nAnswer: 3624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 5 (c) -380\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 195\/(-52) + -1 + 4. What is the fourth biggest value in -4\/3, -12, g, 3?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3 + 4*(5 + -4*(sqrt(45)\/sqrt(144) - (1 + sqrt(5) + -3 - sqrt(5)) - (sqrt(20)\/(1*sqrt(4)) + -5))))**2.\nAnswer: -13680*sqrt(5) + 58470","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/2)\/((-10)\/20). Is 29 a factor of 28 + (0 - l\/1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/((-10)\/(25\/(-5)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8427 - 3.\nAnswer: 8424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 143133\/71 - 2016. Let h = 1070561 + -532068625\/497. Let p = h - u. Which is the nearest to -2\/7? (a) 5 (b) p (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 205022351 to the power of 1\/3, to the nearest integer?\nAnswer: 590","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11024303220 (base 5) to base 9.\nAnswer: 24428558","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**3 + 627328*d**2 + 1254672*d.\nAnswer: -4*d*(d - 156834)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 240152341 and 87328124?\nAnswer: 960609364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4303, -1\/8, -40\/3, 0?\nAnswer: -40\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -208 + -75. Let r = -194 - o. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4128075 (base 10) to base 6\nAnswer: -224251243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4477343300.\nAnswer: 2, 5, 23, 1946671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-20)\/((b**6\/b)\/b) assuming b is positive.\nAnswer: b**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 149093?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7494?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2785 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6533 is divided by 150?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(16\/(-4)))\/(118\/(-177)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 3*w**2 + 41*w + 98. Calculate k(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 80\/32*(-6)\/5. Let x be 22\/4 + s\/(-6). Let l(u) = -u**2 + x*u**2 + 0*u**2 - 22*u**2. Let n(t) = -t**2. Determine l(n(w)).\nAnswer: -17*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**6\/k*k**5)\/(k**(2\/13)*(k\/(k\/k**4*k*k*k))\/k))**(-2))**(-2\/9) assuming k is positive.\nAnswer: k**(512\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 3*m**2 + 11*m - 9. Let u(c) = 7*c**2 + 23*c - 19. Let v(z) = -5*n(z) + 2*u(z). Let i be v(-9). Calculate the highest common divisor of 49 and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40272 = -3*i + 28986. Suppose -10*p = i + 156914. What is p rounded to the nearest 1000?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - (13 + -8) - -13) + -9?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*4\/48*(-783)\/(-870))\/(2\/4).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/4*(-24)\/(-28). Let v = -1.78 - 0.22. Let i = v - -4. What is the closest to -2 in i, -5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 AM and 1:14 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -10*k**2 - 23*k + 161507. Let t(s) = s. Calculate t(a(c)).\nAnswer: -10*c**2 - 23*c + 161507","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 664 = 12*z - 512. Suppose 2*k = 106 - z. Solve -k = 5*u + 5*h + 1, -5*u + 3*h = -19 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 137686143\/4 + -2061717407\/60. Let y = c - 59585. Calculate the common denominator of y and 37\/8.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - (-8 + 4 - -31)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000394025299 rounded to six dps?\nAnswer: 0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**2 - 25050*h + 18793700 = 0. What is h?\nAnswer: -13235, 710","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5390123.\nAnswer: 37, 145679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-10)\/j)\/j*j)**3\/((j\/(j\/((j\/(j*j**(7\/5)*j))\/j)*j*j)*j)\/(j**(9\/2)\/j)) assuming j is positive.\nAnswer: j**(-251\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (17 + (-3 - 17))\/30 and 9\/1570.\nAnswer: 1570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129 is divided by ((-30)\/(-21))\/10 - (-975)\/35?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 30 = -14. Let b = 17735 + -17603. What is the highest common factor of b and x?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 10, e: 5}. Give prob of picking 2 z and 1 e.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 29708812?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3351?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000110101010 - 11110001000?\nAnswer: -10100100110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1146 - 1147)*(12\/4)\/(-27). Factor 0 + 0*d + 1\/3*d**4 - 4\/9*d**5 + y*d**3 + 0*d**2.\nAnswer: -d**3*(d - 1)*(4*d + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, d: 5, x: 1, c: 3, a: 4}. Give prob of sequence cc.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 42 - 39. Solve 20 = 8*i - 3*i, 0 = w*u + 4*i - 28 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8458 is divided by 90.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + i - 73 = 0, -o - i = 28852 - 28835 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 392, 772, 1154, 1538, 1924, 2312, 2702?\nAnswer: 3094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 805 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.47733 rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 4155*g + 992. Is u(23) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000315905 to 7 decimal places.\nAnswer: -0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c + 5. Let x(v) = 2. Give -15*x(g) + 6*z(g).\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is d9 (base 15) in base 12?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c - 9. Let o be f(-7). Let t = o + 4. What is the third derivative of u**5 - u**5 - 6*u**5 - u**2 + 2*u**t wrt u?\nAnswer: -360*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 18 = 2*u, 5*u = -3*q + 4*u + 16 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z**3 - 18*z**2 - 29*z - 35. Calculate the remainder when o(-8) is divided by 18\/117 - 516\/(-26).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 728 and 1700?\nAnswer: 1237600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4517460717 to the power of 1\/2, to the nearest integer?\nAnswer: 67212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 573544 to the power of 1\/3, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -408 - -426. What is the remainder when 99 is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 - (-636)\/162)*3. What is the fourth biggest value in o, -2\/5, 5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-553)\/(-3) + 4\/6. Suppose 0 = 5*r + 251 + 384. Let v = r + b. Is v a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, t: 7}. Give prob of sequence tttt.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q + 32. Let s be o(14). Suppose -s*n = 5*u - 220, -10*u = -6*u. List the prime factors of n.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -254.904931 to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z + 0*z + 3*z)*(-37 + 2 - 3)*(3 + 0 + 0).\nAnswer: 228*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 172601108*n*s**3 + 92*n*s**2 + 73737*n*s + 2*s**4 - 2*s**2 + 2*s + 1 wrt s.\nAnswer: 1035606648*n + 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of h**4\/4 - h**3\/2 + 1659*h**2. Calculate m(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1474, -5539, -12282, -21703, -33802, -48579?\nAnswer: -66034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*c + 8178 = 51858. Calculate the lowest common multiple of c and 1001.\nAnswer: 6006","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1414639552?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 6*i**2 + 7*i - 12. Calculate the remainder when f(6) is divided by (-30)\/(-3) - (17 - 35).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/148040472 and -29\/84?\nAnswer: 1036283304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.6 plus 298.522?\nAnswer: 288.922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d + 8*d**2 + 4*d)*(-d + d + 2*d)*(4 - 7 - 16).\nAnswer: -304*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*g - 3*g + 96 = 0 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 11076 divided by -6\nAnswer: -1846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*z - 5 - 161 = 62 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 77 - 79. Let y = 3 - a. Let j = 3 + y. Solve 2*l + 2*m = j, -2*l = -l + 4*m - 19 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111309 divided by 34\nAnswer: -111309\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of f**6\/10 - 3867*f**5\/10 + 1664097*f**4\/4 - 1660232*f**3 + 2488416*f**2 + 5574*f. Let h(b) = 0. Calculate b.\nAnswer: 1, 1288","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 390 + -390. Suppose 2*y + x - 33387 = j, -y + 18437 = -5*x + 1771. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1*(sqrt(110) + sqrt(110)*-1) - (sqrt(110) - (sqrt(110) - (sqrt(110) - -3*sqrt(110)*3))))\/(2*-1*sqrt(1000)))**2.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 50 - -6463354?\nAnswer: 6463434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x**4\/4 - 3*x**3\/4 = 0.\nAnswer: 0, 3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101*u + 179*u - 60*u.\nAnswer: 18*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*p - 26591*p**2 - 7*p**4 + 0 + 1 + 26587*p**2 + 17*p + 4*p**3 as j*p**2 + t*p + w*p**3 + s + v*p**4 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 312826141 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9066159?\nAnswer: 3, 47, 21433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + 3*k**2 + 5*k. Let w be c(0). Solve w = 132*o - 134*o + 3*x + 10, 4*o = -5*x - 24 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 3*q**2\/2 - 446466*q + 33221981526 = 0.\nAnswer: 148822","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -213541 - -590581. Round w to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 183410378 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13469408.\nAnswer: 2, 420919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 - 10*q**2 + 9*q - 1. Let c be r(9). Let o = -8 + 13. Let d(n) = o*n**2 - 5 + 1 + 5. Give d(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2101 and 2038734.\nAnswer: 22426074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 647845073 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjpfppfpp. What is prob of picking 2 f?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 5184*u - 5186*u = 7, 4*g + 3*u - 2 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1005780 divided by -201156\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**2 + 0*y + 0*y - 2*y + 1. Let w be b(1). Let v be 2\/(-1) - (2 + w). Which is bigger: v or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 269*x**2 + x. Let p be t(1). Let c = p + -63. Is (-2 + c\/6)*2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k - 2280 = -46*k. What is the remainder when 109 is divided by k?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -340 - -580. Suppose -g = 5 - 35. What is the highest common divisor of w and g?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*q = -17*q - 34*q - 840 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42*f**2 - 2*f - 96*f**2 + 0*f - 2 to l + o*f**2 + i*f and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 AM and 3:55 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -877, -3, 0 in ascending order.\nAnswer: -877, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1\/3)\/(6\/6))\/(-2).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 take away -41149529968986?\nAnswer: 41149529968985.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*l - 5. Suppose -3*u - 3 = -4*n, -2*u + l*u + 2 = -5*n. Are n and -1\/5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 61*z - 5*u, -124 + 121 = -3*z + 5*u - 2*u for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/sqrt(3)*-4 + 3 + (3*(sqrt(3) + sqrt(9)\/sqrt(3) + sqrt(3) - sqrt(3) - sqrt(3)) - (-2 + sqrt(3) + -1))**2.\nAnswer: 8*sqrt(3) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15567*a - 15914*a + 25678 for a.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -39 - -54. Suppose w = -6 + g. Let r = w + -35\/4. Sort -4, 2\/3, r in descending order.\nAnswer: 2\/3, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*a - 29*a - 2 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (5 + -15) - 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 2:14 PM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40600)\/1400*2\/(-2).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - o - 291 = -4*k, 0 = 4*k - 5*o - 287. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3*d - 22 = 0, -6*h + 3*h = -2*d - 52. Solve 0 = -h*l + 14*l - 12 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/35757739 or 1?\nAnswer: -1\/35757739","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*(-3 + 6)*1. Suppose -2*t - t - m = 0. Let w(n) = -n**3 - 3*n - n**3 + 5*n. Let j(z) = z**3 - 1. Calculate t*j(b) - w(b).\nAnswer: b**3 - 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -281, -561, -841, -1121, -1401?\n\"Answer: -280*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 871?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 9:05 AM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5851?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112) + 0)*-2 + (sqrt(112) - 5*(0 + sqrt(112))))*2 - (5 + sqrt(847) + ((-1*sqrt(847) + sqrt(847))**2 - sqrt(847)) + (sqrt(847)*-3*-6)**2).\nAnswer: -274433 - 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/442 and -33\/8?\nAnswer: 1768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 29*l. Let p(a) = -26*a - 5. Let j be p(-5). Let f(g) = -63*g**2 - 59*g**2 + j*g**2. What is f(r(y))?\nAnswer: 2523*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 261849012 to the power of 1\/2, to the nearest integer?\nAnswer: 16182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -73 (b) -0.3 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -4*y + 50. What is the remainder when 448 is divided by i(5)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 166968*b**2 - 177678*b wrt b?\nAnswer: 333936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2*z = -4*z. Let j(t) = -t**3 - t**2 + 2*t + 481. Does 55 divide j(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, -1, 0, -5 in increasing order.\nAnswer: -5, -1, 0, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 at least as big as 168\/737?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 30394.57856 to the nearest 10.\nAnswer: 30390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103470.\nAnswer: 2, 3, 5, 3449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17*k*u**2 - 6*k*u + 5265*k + 376*u**2 + 339*u + 11 wrt k.\nAnswer: 17*u**2 - 6*u + 5265","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10.7 + 10.4. Let p = -44 + 64. Let o be (-6)\/(-15) - 88\/p. Sort o, j, 0.5 in descending order.\nAnswer: 0.5, j, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 126 - 627\/5. Put 1, k, 20 in increasing order.\nAnswer: k, 1, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2360, 4736, 7088, 9416, 11720?\n\"Answer: -12*z**2 + 2412*z - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -528153*j**3 - 5*j**2 + 11563002*j?\nAnswer: -3168918*j - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -5*j - 1219, -n + 5*j = -3*n + 617. What is the hundreds digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/6*z**2 + 115\/3 + 113\/6*z.\nAnswer: -(z - 115)*(z + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 424351654?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 2 - 1. Suppose -5*w - 9 = -5*j + v, -2*j + 10 = w. Factor 0 + 4\/7*c + 2\/7*c**w.\nAnswer: 2*c*(c + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -50*l + 5. Let v be 3 - (-8 + 13\/1). Let j(z) = z + 7. Let n(u) = v*o(u) + 2*j(u). What is the first derivative of n(g) wrt g?\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3f (base 16) in base 3?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1131314 (base 5) to base 7.\nAnswer: -114512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6326?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/135 and 83\/47114676?\nAnswer: 235573380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -29*b + 1089. What are the prime factors of w(-15)?\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2329166 is divided by 492.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 218*b**2 - 19*b - 34. What are the prime factors of z(-2)?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -109 + 118. Let b(f) = -f**3 + 15*f**2 + 6*f + 62. What is the tens digit of b(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**5 + 21*y**4 + 95*y**3 + 63*y**2 - 180*y = 0. What is y?\nAnswer: -15, -4, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 6 = 4*d + 9, 3*m = 3*d + 6. Let r(c) = -c**3 + 6*c**2 + 8*c + 6. Calculate the remainder when r(m) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19467189 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 4*z**2 - z. Let b(c) be the first derivative of 5*c**3\/3 - c**2 + c - 8185. Suppose -2*r = -d + r + 7, -5*d - 7 = -r. What is d*b(o) + 3*y(o)?\nAnswer: 2*o**2 + o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 + 14*h**2 - 9*h - 4. Let a = -132 + 126. Let b be 33\/2*(0 - a\/9). What are the prime factors of o(b)?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tlnn when four letters picked without replacement from {t: 9, d: 1, n: 2, l: 6}.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 + 11*h. Let r(x) = 6*x**2 - 2*x. Let d be r(-3). Suppose -n = 5*s - d, s + 65 = 6*s + 2*n. Let q(a) = 4*a. Give s*q(l) - 4*z(l).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19126?\nAnswer: 2, 73, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 471497, 471495, 471491, 471485, 471477, 471467?\nAnswer: 471455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 15*s = -99. Calculate the greatest common divisor of 45 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 345612165 a multiple of 767?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*f**2*q**6 + f**2*q**3 + 3*f**2*q**2 + 10*q**2 wrt q?\nAnswer: -480*f**2*q**3 + 6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1900\/7, 2\/5, 498, -2\/7.\nAnswer: -1900\/7, -2\/7, 2\/5, 498","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/378234 and 115\/18.\nAnswer: 378234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 5*n + 4*n.\nAnswer: 9*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o + 10. Let z be w(7). Let c = -9 + 15. Suppose -7 = -2*a + z*a + 4*m, -3*a - 3*m + c = 0. What is the least common multiple of a and 11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(114)\/(sqrt(12)\/sqrt(2)*4 + sqrt(6)))**2.\nAnswer: 2*sqrt(19)\/5 + 44\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + m. Let v be p(1). Suppose 0 = -v*t - t. Find the second derivative of 2*x + 3*x**3 + 0*x + t*x wrt x.\nAnswer: 18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-84)\/10*15\/(-6). Let p = -17 + n. Let z = 1 + 1. Solve -2*q - p - z = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -8*i**3 + 6*i**2 + 7*i. Let m = 126 + -123. Let h(t) = 6*t**2 - t + 4*t**2 - 9*t**2 - t**m + 2*t. Give 6*h(f) - y(f).\nAnswer: 2*f**3 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 603?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of -1\/6*u**4 - 1\/60*u**5 + 0*u + 0 + 0*u**3 + 48*u**2. Factor g(r).\nAnswer: -r*(r + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-42)\/231 - 186\/(-297). Let g(a) be the second derivative of o*a**3 + 0 - 7*a + 0*a**2 - 1\/9*a**4. Factor g(r).\nAnswer: -4*r*(r - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 3*o**3 + o**2 + o - 2. Let k be x(1). Suppose -21*s - 72 - 33 = 0. Put 337, k, s in ascending order.\nAnswer: s, k, 337","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - ((-34 - -33) + 1 + -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -3*j**3 - 5*j**2 - 57*j - 31. Does 5 divide o(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(-11\/6)\/p))\/(p\/p**(4\/21))*(p\/(p*p**17)*p)\/(p**(-46)\/p) assuming p is positive.\nAnswer: p**(1429\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1601998 divided by 3\nAnswer: 1601998\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000055735278 to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - (-10)\/(4 - -1). Suppose -5 = 5*d - 5*k, 0*k + k - 1 = -h*d. Which is bigger: d or -8\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 4307, 5.5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/31 (b) -0.3 (c) -2\/21 (d) 0.1 (e) 1199\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.5 or 5\/312?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101111100 + 1111100?\nAnswer: 111111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1210 - -1001021010220?\nAnswer: 1001021012200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.39 + -3.1. Let d = 0.29000059 - q. Round d to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*w = 3*w. Suppose w = -85*s + 91*s - 60. Solve -4*f = v + 14, -s = -2*f + 6*f + 3*v for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 61*n - 7687 = -66*n, 3824 = 2*p - 4*n. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 330999686 and 3566.\nAnswer: 3566","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5846.702 centuries to years.\nAnswer: 584670.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 140, 565, 1268, 2243, 3484, 4985, 6740?\nAnswer: 8743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/9 (b) 2\/9 (c) 5 (d) -2\/7 (e) -5.56 (f) -1.6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 + 36*a**2 - 85*a + 164. What is the tens digit of w(-27)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3064 - 88858\/29. Sort 4, q, 15.\nAnswer: q, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15.9 - -13.84. Let m = -0.07 - 1.93. Let s = x - m. Round s to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-10)\/(-4))\/(5\/10). Suppose 2*b - 15 = 5*r, a*b - 3*b = -3*r - 9. Let f be b\/(0 - -2) + 3. Solve c + 8 = f*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -5 (b) 2 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -r + 3*r - 46, 3*p = -5*r + 115. Is r smaller than 24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - 8*u**2 + 13*u. Let c be m(-10). Suppose 4*s + 3*d - 2 - 76 = 0, -c = -4*s + d. What is the lowest common multiple of 8 and s?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*6*(-5)\/15*(-10770)\/6462\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zr when two letters picked without replacement from zzr?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*y - 67 + 221 = 0 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 - i + 2. Suppose 0 = 2*w + 6, -3*q - 6 = 3*w + 3. Let s be (q - -1) + 0*4\/12. Let v be h(s). Solve 2*j - v*p - 1 = j, 5*j = -3*p - 34 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of -l**4\/4 - l**3 - l**2 - 2*l - 1513. Determine s(-4).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -4*m**2 + 7*m + 10. Let t(q) = q**2 + 6*q + 5. Suppose 0 = -4*i + 3*i - 6. Let o be t(i). Let y(s) = 0 + o*s + 9 - 3*s**2 - 2. Give -5*w(f) + 7*y(f).\nAnswer: -f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*(-16)\/420)\/((-2)\/5).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5118447 to the power of 1\/2, to the nearest integer?\nAnswer: 2262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*y = 54*y + 50*y - 1560 for y.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1 and (4\/5)\/((-12)\/(-30)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2145522 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -3*a. Suppose -2*j + j = -56. Let d(n) = -12*n**2 - 56 + j. Give k(d(w)).\nAnswer: 36*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -15*t**2 + t - 9. Let z(h) = -13*h**2 - 8. Determine -6*l(k) + 7*z(k).\nAnswer: -k**2 - 6*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 5*h**2 - 3*h - 1. Let i be v(4). Suppose 2*c - i*c + 5*j = 18, -2*c + 6 = 4*j. Let w = c - -4. Which is greater: w or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fk when two letters picked without replacement from {f: 2, k: 2, s: 4, h: 2, n: 4}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 24926 rounded to the nearest 1000?\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.57033 + -36.\nAnswer: -33.42967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32188 + -4538465\/141. What is the common denominator of k and 22\/3?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -12c6 + 5?\nAnswer: -12c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccffocfvcffovkvf. Give prob of sequence okc.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 463 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 112807047 and 651?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -3*i. Let a be f(2). Let q(m) = -m**3 + 48 - 4*m + 7*m**2 + 7*m + 2*m**3 - 53. What is the remainder when q(a) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1434333432 - 12?\nAnswer: -1434333444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13533618?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -12*w + 16. Give c(-4).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1176220 is divided by 249?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 101*a - 8 + a**3 - 3*a**2 + 5*a**2 - 105*a = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -7. Let j = 0.04 + 0.26. Which is the closest to f? (a) 3 (b) j (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i - 2. Determine j(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*j + 17*j - 49*j - 4*j - 36 + 36.\nAnswer: -121*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41 + -50 - (-3 - 0 - -8).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -44097102.11 to the nearest one hundred thousand.\nAnswer: -44100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 155014?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.261983 rounded to two dps?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-14) + (-24)\/(-14). Let k be (z\/2)\/((-3)\/36). Let j(o) = -3*o - 5. What is the tens digit of j(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i\/(i*i\/(((i**10\/i)\/i)\/i))))\/((i**(-2\/15)*i)\/i)*(i\/(i**(15\/7)*i)*i)**49 assuming i is positive.\nAnswer: i**(-928\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 234?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 r when two letters picked without replacement from {z: 1, b: 3, r: 8, i: 6}.\nAnswer: 16\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 8, b: 2, k: 1, z: 4}. Give prob of picking 2 z.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 AM and 7:21 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c - 4. Let i be d(-5). Let o = 10 + i. Let r(h) = 4*h - 2*h**2 + 7*h**2 - 3 - 1. Let s(y) = y**2 + y - 1. Give o*s(q) + r(q).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 2*q + 11 - 321, 62 = m + 2*q. Let c = 144 - m. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1378923, -1378331, -1377345, -1375965, -1374191, -1372023, -1369461?\nAnswer: -1366505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -4*g + 3*c, c - 2*c = g - 18. Calculate the common denominator of ((-14)\/(-16))\/(g\/136) and -41\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*g + 21. Suppose 1 - 9 = -2*o. Calculate the smallest common multiple of o and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/8, -105, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3175756, -12703151, -28582142, -50812729, -79394912, -114328691?\nAnswer: -155614066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 16) in base 2?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u**3 - 6*u**2 - 2*u. Let v be q(6). Let j = 291 - v. Suppose -63 = -w - z, w - j = 8*z - 3*z. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - 22*w + 12 - 17*w**2 + 5*w**2 + 34*w**2 + 3. Calculate k(21).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2*a - 5*a = -867, -3*a - 1437 = -5*o. Is o a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 - -0.2. Let r = 9.13 - 122.23. Let m = r - -113. What is the closest to m in -1\/4, -0.2, q?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -388, -487, -654, -895, -1216, -1623, -2122, -2719?\nAnswer: -3420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 567995139.\nAnswer: 3, 19, 1107203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5844 by 266.\nAnswer: -2922\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 v when two letters picked without replacement from vvmvmvvvvvvvvvvvvvv?\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 34999 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6473 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 2*t + 1, -4*q + 3 = 3*t + 1. Suppose 0 = 5*z - 5*a - 55, z - 6 = -5*a + 11. Suppose t*d - 34 + z = 0. Is 10 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 0*p - 3*p)*(21 - 33 + 20) - p + 4*p - 4*p.\nAnswer: -25*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -20. Solve -i = -2*s - s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11 or -20?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 74? (a) 2 (b) 4 (c) 2\/265\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 45592, 182571, 410932, 730669, 1141776, 1644247, 2238076?\n\"Answer: -t**3 + 45697*t**2 - 105*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -2*t**4\/5 + 5174*t**3\/5 - 827952*t**2 + 1343920256*t\/5 - 155113223168\/5 = 0?\nAnswer: 376, 1459","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of g**3\/6 + 927*g. Let b(k) = 31*k**2 - 3*k. Calculate b(l) + 3*q(l).\nAnswer: 31*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (87\/5)\/3 - (-68)\/(-85). Let u(m) be the third derivative of 0*m + 0*m**3 + 0 + 1\/24*m**4 + x*m**2. Let p(g) = -g**2. What is u(p(j))?\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 186467823*f - 24940111 wrt f?\nAnswer: 186467823","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2240 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*h**5 + 177*h**4 + 629*h**2 wrt h.\nAnswer: 180*h**2 + 4248*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.08 (b) 5\/3 (c) -2\/5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(176) - (sqrt(220)\/sqrt(5))**2.\nAnswer: -43 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/1 + (-1)\/(-1). Let y be i\/1 - 2\/3. Suppose 0*t + u = t + 3, -11 = t - 3*u. Which is smaller: t or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**2 + 19632*l + 24088464.\nAnswer: 4*(l + 2454)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5064?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.99 take away 0.125?\nAnswer: 70.865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -424*w**2 - 2*w**3 - 135*w**2 + 559*w**2.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -1 + 2 + 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**3 + 3270*b**2 - 528045*b - 2164820.\nAnswer: -5*(b - 329)**2*(b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 14*x = -19*x + 222382, -20 = 5*x. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6559 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 4*m - 10. Calculate the remainder when 61 is divided by 46*1\/2 + (1 - m).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 475?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1144 + 3?\nAnswer: 1147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14052524?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + -2 + 3 - -13. Let b = -10 + l. What are the prime factors of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l - 10 = -9*l. Solve 3*i = l*r + 4 + 1, 5*r = -20 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -10*v + 90. Let z = -9481 - -9491. What is l(z)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1445 + 2433. Does 19 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115623334?\nAnswer: 2, 4079, 14173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 4243*j**2. Let y(v) = -7*v. Determine y(w(i)).\nAnswer: -29701*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.2167535 + -3.216. What is q rounded to five decimal places?\nAnswer: 0.00075","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - 5)*20\/(-15). Solve 0 = m*n + b - 2*b - 20, -5*n + 4*b + 36 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 448*q - 1335*q + 445*q = -443*q + 6, -4*q = -a - 69 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - (-25)\/10)*-12. List the prime factors of b\/(-33) - 766\/(-22).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 36*s**2 + 27*s + 108. Determine x(-3).\nAnswer: 351","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3374439?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*o = -5*a + 176, -84*o - 3*a = -71*o - 8 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.0044 and 228.\nAnswer: 228.0044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-5)\/s*s**(-7\/3))\/(s\/(s\/((s**1*s)\/s*s)))**(1\/17) assuming s is positive.\nAnswer: s**(-431\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -3*s**2 - 46*s + 1257. Give m(13).\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 + -31.4. Let s = 0.6 + -1. Let x = h - s. Sort 2\/9, x, -2 in descending order.\nAnswer: 2\/9, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/168 - 4\/(-14). What is the nearest to u in 4, -3, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) + (sqrt(162) - (sqrt(162) + (sqrt(162) - (sqrt(162) + sqrt(162)*-3)*-3))) + sqrt(162) + 2*sqrt(162)*-2 + sqrt(162))\/(1*sqrt(225)*5*-5).\nAnswer: -12*sqrt(2)\/125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of s**5\/540 + s**4\/108 - 9*s**2. Solve h(r) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -150*n**6 + 111308*n**4 - 5*n**2 + 13452895*n wrt n?\nAnswer: -18000*n**3 + 2671392*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.878 + -0.122. Sort y, 2\/3, -0.2, 3 in descending order.\nAnswer: 3, 2\/3, -0.2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 448 divided by 112.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 76707 = 16414. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-28)\/(-3))\/((-26)\/(-39)). Let s(d) = -d**3 + 14*d**2 + 5. Let y be s(t). Suppose y*q = -3*a + 94, -a + 71 = 4*q - 0*a. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 889100.7g in milligrams?\nAnswer: 889100700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**10)**(2\/9))**2 assuming t is positive.\nAnswer: t**(40\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 7*u = 4*u + 29, 4*u - 4 = -2*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 307\/27 + 35\/27. Find the common denominator of r and 1 - 4 - (-298)\/78.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/p**(-11)*p*p)**(-7\/10) assuming p is positive.\nAnswer: p**(-21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mnrmeenrmmmm. What is prob of sequence em?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 6833.25 seconds?\nAnswer: 6833250000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -8, 70, -4, 2, 124.\nAnswer: -8, -7, -4, 2, 70, 124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**9*r**(-2))**(-4\/21)*(r*r*r**3*r)\/r**(-3)*r*r*r**4\/r*r*r**(1\/11)\/r assuming r is positive.\nAnswer: r**(421\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39 + 13*w + 94*w - 35 - 52 + 10)*(-2*w + w + 0*w).\nAnswer: -107*w**2 + 116*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4472 - -4490. Solve 3*m + 6 = 5*r, -3*r = 3*m + 24 - p for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 89303, 357307, 803983, 1429331, 2233351, 3216043?\n\"Answer: 89336*z**2 - 4*z - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 225788 at most 2935236\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 111*a**4 + 141*a**2?\nAnswer: 2664*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54288 divided by 9.\nAnswer: 6032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26 + 118. What is the least common multiple of 10 and f?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -7*b + 1. Let r be l(1). Let w be ((-70)\/r + -1)*3. Let z = w - 19. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-12 - -6) + 3 + 9 + 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -466*f**4 + 497?\nAnswer: -1864*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 94, 191, 286, 379, 470, 559?\n\"Answer: -j**2 + 100*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 521308322 to the power of 1\/2, to the nearest integer?\nAnswer: 22832","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4161962 is divided by 1131?\nAnswer: 1013","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 4*n + 17. Suppose 0 = m + 3*m + 16. Let f be 3\/6 + 26\/m. Let r(x) = -231*x - 3 + 229*x - 5. Give f*q(a) - 13*r(a).\nAnswer: 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 64 (c) 4 (d) 0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -202320030013 (base 4) in base 13?\nAnswer: -1b817b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = z - 17, 2*h - 6 = -0*h + 5*z. Calculate the remainder when 62 is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.35663947 rounded to four dps?\nAnswer: -1.3566","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.08, -2\/9, 2, 43, 0.2 in descending order.\nAnswer: 43, 2, 0.2, -0.08, -2\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 - 6*w - 17. Suppose -5*r + 16 = -r - 5*z, -4*z = -r - 7. Let s be f(r). Let m(u) = 6*u**2 + 6*u + 25 - 10 - 4 - s + u**3. Calculate m(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -173\/180 + 1\/90. Calculate the common denominator of k and 130\/(-36) - 0\/(-2).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -4*z - 91. Let a be s(-28). Solve -3*v + 0*v + a = 2*l, -5*v - 3*l + 34 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3158 + -2626. Is s a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*g - 10 = 15*g. Let w be (g - (-4 - (-3)\/1)) + 2. Suppose 4*k - 17 = -w*t, -3*t - 2 = -5*t - 4*k. Solve 4*v + t = 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (4\/(-24)*10 - 0)*-3.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3366, -6737, -10112, -13491, -16874?\n\"Answer: -2*q**2 - 3365*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 872 + -867. Which is the second smallest value? (a) 0.04 (b) o (c) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o**3 - 1 - 70*o**4 + 36*o**4 - 14*o**2 + 33*o**4 as h*o**4 + s*o**2 + r + p*o**3 + l*o and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1148720.\nAnswer: 2, 5, 83, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*u - u + 2*u)*(-u + 3*u + 0*u) - 4*u**2 + 0*u**2 + 14*u**2 + 60*u**2 - 44 - 69*u**2 + 43 to o + r*u + s*u**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - x**2 + 1. Let l be v(0). Let t be 152\/57*-2*(-3)\/2. What is the greatest common factor of t and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 243, 259, 323, 465, 715, 1103?\n\"Answer: 5*t**3 - 6*t**2 - t + 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -3*z + 3. Let x be d(-4). What is the common denominator of ((-309)\/12)\/(x\/6) and 61\/14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + 7*q**2 - 2*q - 10. Let a be z(-7). Suppose -72 = -3*g + a*g. Find the common denominator of (-382)\/g + 2\/8 and -52\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 975 is divided by 109.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -229 - -1?\nAnswer: -228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -72.3452 plus 5?\nAnswer: -67.3452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 4 = -v, 3*u + 2*v + 1 + 7 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1710 a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 24851 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 greater than or equal to -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1346\/3012*113 - 12\/12. Let b = 2\/753 + z. Find the common denominator of -1\/16 and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1.7 (b) -16101\/4 (c) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00014481121 rounded to six dps?\nAnswer: -0.000145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = t - 4*h, 5*t - 4*h = t + 16. Find the first derivative of 7*f + 4*f**t + 12*f + 3 - 19*f wrt f.\nAnswer: 8*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*s**3 - 18*s**3 - 2*s + 29*s**3 + (2*s + 4 - 4)*(-5*s**2 + s**2 + 2*s**2) in the form x*s + i*s**2 + q + v*s**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 144 + -154.4. Let b = -10.5 - m. Let l = -0.09 - 4.91. What is the third biggest value in b, l, -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 39*x. Let n(u) be the second derivative of -2*u**3\/3 - 5*u**2\/2 + 3*u. Let h(l) = 2*l + 2. Let c(q) = 5*h(q) + 2*n(q). Determine c(t(w)).\nAnswer: 78*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 34*i**2*w**3*z - 3*i**2*w**3 - 13*i**2*w**2 - 3*i**2*w*z + w**3 with respect to z.\nAnswer: 34*i**2*w**3 - 3*i**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/25 (b) -5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9234 and 228?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 4*v + 3 = -2*l, -5*v = 4*l - 35. Suppose l*p + 870 = 2345. Is 59 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 + (-711)\/12)\/((-26)\/104). What is the highest common divisor of 83 and f?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 594, 5, 1 in descending order.\nAnswer: 594, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 264 a factor of 180109566?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(2600) - sqrt(2600)*-2))\/(5*sqrt(8)\/(sqrt(16)\/sqrt(4))).\nAnswer: 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147*h + 77 = -2*p - 150*h - 36, -h = 5*p + 289 for p.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.2144195 decades?\nAnswer: 2.144195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 172 and 332218?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 214 + -128. Suppose 6*l + 26 = r. What is the remainder when 28 is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2942 - -2948. Which is greater: a or 1.93?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(2\/9)*d*d*d)**19*d*d**(-1\/6)*d**(-1\/23) assuming d is positive.\nAnswer: d**(33539\/414)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1728321 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 6 = 8. Calculate the remainder when (-1)\/(-4) + 534\/8 is divided by p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -457041 (base 9) in base 2?\nAnswer: -1000010111011011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -126641038858398 and -5.\nAnswer: -126641038858403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 63550 - 1049. List the prime factors of h.\nAnswer: 62501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 216 and 15039.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1368 = -4*m + 3*f - 8*f, -2*f = 4*m - 1368. List the prime factors of m.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -303 - -341. What is the closest to 1\/2 in r, -1\/7, 5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {i: 2, h: 1, s: 1, m: 2, v: 4, k: 4}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6 (b) -0.5 (c) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 800572 is divided by 87?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3960526 rounded to the nearest one hundred thousand?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -277 at most -272?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*a + 16*a - 204*a - 1600 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t - 1. Let i be s(-1). Let m be (372\/(-248))\/(22\/8 - 2). What is the closest to -5 in m, 1, i?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3*d = -7, -14 = 4*k + 4*d + 30. Let u(o) = -11*o - 19. What is the units digit of u(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 - 1\/(2\/(-24)). Suppose -s + l + 2 = -15, 0 = -s + 5*l + h. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((((-35)\/4)\/(65\/(-26)))\/(-1))\/(-4).\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5*(sqrt(108) - (sqrt(108) + 1)) - (sqrt(108) - (sqrt(108) - sqrt(108)*1*-3)) - (-2 + sqrt(108) + 2 + 4))**2*6*4.\nAnswer: -10392 - 576*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 1792 = 3*f. Suppose -6*o + f = -2*o. Suppose -o - 128 = -2*d. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 40750501, 40750500, 40750499, 40750498, 40750497?\n\"Answer: -d + 40750502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 83 (b) 5 (c) -0.1 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1224)\/(-10404))\/((-1)\/(-85)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 483.6956t in grams?\nAnswer: 483695600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 4. Let t = 6 - 18. Let p = -7 - t. Which is the smallest value? (a) q (b) p (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 648 and 38556?\nAnswer: 77112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*p - 33*p - 4*s = 392, 2*p = s + 190. Which is the closest to 1? (a) 3 (b) -0.3 (c) -0.4 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 3:28 AM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -199\/420 and 83\/12946850.\nAnswer: 77681100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -8 + 9*s**2 - 4*s**3 + 5*s**3 - 2*s - s**2 - 3*s**2. Let f be w(-5). Which is the closest to 3\/5? (a) 0.4 (b) f (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -74*c**5\/11 + 4518*c**4\/11 - 170*c**3\/11 - 4518*c**2\/11 + 244*c\/11 = 0.\nAnswer: -1, 0, 2\/37, 1, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (18\/(-5))\/((45\/650)\/(-3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 0.0217?\nAnswer: -0.0217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7843 divided by 31.\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (252\/8)\/(((-2842)\/1624)\/(14\/4))?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/7)*p**11*(p**2\/p)**47)**(-1\/14) assuming p is positive.\nAnswer: p**(-405\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9438 and 1452?\nAnswer: 18876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 669 is divided by 67?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r - 72. Let f(g) = 3*g**2. What is l(f(k))?\nAnswer: -3*k**2 - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -95.34\nAnswer: 28.602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12.1 + 12. Let d = 88\/5 + -17. Suppose -80 = -13*t - 28. What is the nearest to r in t, d, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6960, -13839, -20718?\nAnswer: -27597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 4*m. Suppose m = -t + 5*t. Let g = 1 + t. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -284 + 321. Which is the second smallest value? (a) -0.4 (b) 1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9*17\/((-459)\/(-45)). Solve 85 = s*m + 2*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h + 8. Let a be f(6). Suppose 5*g - 20 = -0. Suppose 5*o - 26 = -p, g*p - 7 + 3 = 0. Solve 4*u - w = a*w + 16, o*w + 12 = 3*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*((-2 - -2) + 215). Let u be (-1)\/1 - 10\/(-2). Suppose n + u*n = k. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.14 - 0.04. Let s = -3.984 - 1.016. What is the nearest to y in -1, 5, s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193 a factor of 1951476673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(78) - sqrt(78))*2)\/(sqrt(540)\/sqrt(10)).\nAnswer: 2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0362 and -0.1.\nAnswer: 0.00362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(405) + (sqrt(405) - (sqrt(405) + (sqrt(405) - (sqrt(405) + 0)))) + -5 + 2)*5*-1)**2.\nAnswer: -1350*sqrt(5) + 10350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 228 and -115.\nAnswer: -26220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 328 + 1966 = 290*z - 2346 for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/17793008 and -97\/6.\nAnswer: 53379024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201211 - 221210110211?\nAnswer: -221211012122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/32 (b) 3 (c) -5 (d) 0.11 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000630939376 to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 39 (b) 1 (c) 71 (d) -119 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8\/33 - -14\/33. Sort 2, d, -1, 4.\nAnswer: -1, d, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -259*b - 66 = -248*b for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 89599004 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1005c (base 16) to base 10\nAnswer: 65628","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1736201 (base 8) to base 5.\nAnswer: -112211014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 1100, -895, -2\/7, -1\/11?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-24) - 33\/(-4). Let i be -2 + f\/1 + -2. Suppose -i*w = -4*k - 20, 2*w = 5*k + 21 - 2. Put -1, w, 0 in descending order.\nAnswer: w, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of -5*p**6\/12 + 41*p**4\/24 - p**2 + 6*p. What is the second derivative of o(i) wrt i?\nAnswer: -300*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 913 and 6616511?\nAnswer: 913","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 25\/4 of a milligram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2080313 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of -15*f**2\/2 - 57*f - 29. Let g be r(-4). Solve m - 16 = -g*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 39 = 4*f, -72*s = -164*s + 4*f - 252 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 5 + 9)*(13*g**5 - 7*g**5 + 3*g**5) + (2*g - g**4 - 2*g + 0*g**3 + 0*g**3 + g**4 + (g + g + 0*g)*(-4*g**3 + 5*g**3 + 0*g**3))*(-g - g + 4*g).\nAnswer: 112*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/2)\/g**(-1\/9))\/(g**(-11\/5)\/g**(-24)) assuming g is positive.\nAnswer: g**(-1997\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 37595473 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38773, 38762, 38751, 38740, 38729, 38718?\nAnswer: 38707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrqrqrqrqrrrrrqqrqr. Give prob of picking 4 r.\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/7 (b) -5 (c) 20 (d) 2\/7 (e) 0.2 (f) 11\/2 (g) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2971639 to the power of 1\/4, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 4*k**2 + 375884*k - 1127688 = 0?\nAnswer: -93974, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 91099*g**2*w**2 + g**2 - g*w**2 - 2*g + 8592*w**2 + 61*w + 1 wrt g.\nAnswer: 182198*g*w**2 + 2*g - w**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 31195642?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and (-71708)\/(-1404) - 51 - (-2)\/(54\/25297).\nAnswer: 10307","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3))**(1\/3)\/(a**(1\/2)\/a**(2\/3)) assuming a is positive.\nAnswer: a**(-5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 960126 and 816?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 736 - 33835241283\nAnswer: -33835240547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-207)\/46)\/(5\/((-60)\/9)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*k - 54*k + 23*k)*(-363*k - 26*k**2 + 363*k) + (-k**2 - 3*k**2 + 2*k**2)*(0*k + 3*k - 4*k) + 0*k**3 - 2*k**3 + 4*k**3.\nAnswer: 446*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 378.3 - 363.3. Let v be (-11)\/3 + (-1)\/3. Put v, w, -1 in descending order.\nAnswer: w, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 69 = p. Is p a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -281, -262, -225, -164, -73, 54?\nAnswer: 223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*c - 3)*(182 - 34 + 24)*(1 + 1 + 3).\nAnswer: -1720*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 k when four letters picked without replacement from {g: 1, f: 2, n: 2, a: 5, q: 3, k: 7}?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*m - 4*m + 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 12683, 51173, 115337, 205187, 320735, 461993, 628973, 821687?\n\"Answer: 2*x**3 + 12825*x**2 + x - 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22*-6.7.\nAnswer: 147.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -9. Let c be (u - -3)*(0 - 1). What is the units digit of -10*1\/2*c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**20*z)**(-22))**9 assuming z is positive.\nAnswer: z**(-4356)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add -1910417527139 and -3.\nAnswer: -1910417527142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 AM and 2:05 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2 or 3116?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-188)\/(-10))\/(1\/5). Let w(h) = h + 9. Let n be w(-5). Suppose n*f = 2*f + q. Does 10 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 64995502 to the nearest integer?\nAnswer: 8062","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y + 8*y + 88 = 0. Find the common denominator of -85\/18 and (-47)\/(-564)*(-38)\/y.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5928105\/131 - 45253. Is a less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -483, -472, -447, -402, -331, -228?\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 2, 18*m - 19*m - 1 = 3*h. Solve -m*y + 5*q - 8 = 17, -2*q + 10 = 5*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1077 + 2878. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*l + 76 = 21 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a week in minutes?\nAnswer: 2016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 480896 and 270504.\nAnswer: 4328064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3221 - -2?\nAnswer: 3223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -4, 3\/4, 10\/29, 2, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 76 and 358606.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2455*w - 58944. Determine m(-24).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -4*f + 502, 251 = 4*o - 5*o - f. Which is smaller: -0.1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + -781?\nAnswer: -785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2 = 0, 5*d - 16*t + 12*t = 92313. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 35*l**2 - 29. Let c(z) = 1117*z + 2. Determine c(u(d)).\nAnswer: 39095*d**2 - 32391","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -158 - -161. Suppose -q - 5*y + l = 0, 4*q - 110 = 3*y - 29. Let g = 8 + -6. Solve 5*t - 2*z - q = -0*t, -8 = g*t + 3*z for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**5*(z*z**8*z)\/z*(z**(-1\/2)*z)\/(z**(-6\/7)*z)*((z*z**3\/z)\/(z**(1\/3)\/z))\/(z**(-1))**(-1\/3) assuming z is positive.\nAnswer: z**(743\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p + 4. Let c be z(-2). Suppose -2*a**2 + c*a**3 - a**3 + 4*a - 3*a = 0. What is a?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {e: 2, b: 2, t: 3, f: 6}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-16) + (-117)\/372. Is b less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 - 13*n**2 - 22*n - 114. Calculate x(15).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -6*d**2 + 1193*d - 58953. Give h(107).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 370, 362, 350, 334, 314, 290?\nAnswer: 262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 47 + -66. Let y = 19 + j. Suppose y = -r + 5*r - 140. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c = 13*c. Suppose c*t - t = 0. What is the second derivative of -w - 2*w**4 + w**4 + t*w**4 wrt w?\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 615 - 585. Find the common denominator of -51\/37 and s\/4*32\/(-70).\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 23846288?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 332623487 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 111684261 to the nearest integer?\nAnswer: 482","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 - f**2 + 1. Let y(l) = -9*l**3 + 6*l**2 + 7*l - 6. Suppose 95*c - 93*c = 2*p - 22, -2*c - 10 = 0. Determine p*d(o) + y(o).\nAnswer: -3*o**3 + 7*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 585?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of -1439*i**7\/210 - 466*i**5\/15 - 1378*i**2. Find the third derivative of s(k) wrt k.\nAnswer: -34536*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3\/7)*z)**(-33)*(z**(-5))**(-21\/8) assuming z is positive.\nAnswer: z**(-321\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2502390 to the power of 1\/3, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17637733*c**2*n + 2*c*n - 56710*c wrt c?\nAnswer: 35275466*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1552844 and 3493899?\nAnswer: 13975596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 80 = -3*z, -4*r = 3*z - 60 - 112. Calculate the remainder when 105 is divided by r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 4*m**2 + 45*m + 25. Give y(-11).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiii when four letters picked without replacement from {p: 12, i: 6}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k - 3*k + 4186 + 2*k + 0*k.\nAnswer: -k + 4186","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1087*i - 1089*i + 28 = -6*w, 2 = 2*w + 5*i for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 216061312 a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-9 + (-8 - -19)). Factor -h**5 + 0*h**x + 0*h + 0*h**3 + 0 - 2\/3*h**4.\nAnswer: -h**4*(3*h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x - 2*x - 2*x)*(x**2 + 3*x**2 - x**2) - 12*x + 3*x**3 + 12*x + 6*x**3 - 7*x + 7*x + (5 - 3 - 3)*(-2*x**3 + 4*x**3 - x**3).\nAnswer: 5*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6099 is divided by 224?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*q + 163502 = 160202 for q.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4142*v = 4100*v - 840 for v.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -146 divided by -3053.\nAnswer: 146\/3053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**4 - 3\/2*f**2 - 3\/2 + 3\/4*f**5 - 15\/4*f + 3*f**3.\nAnswer: 3*(f - 1)*(f + 1)**3*(f + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - (sqrt(77) - sqrt(77)*-2))*-1 - (sqrt(77) + sqrt(77) + sqrt(77)*3*1))\/((sqrt(504)\/sqrt(128))\/(-1*sqrt(900))).\nAnswer: 120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1897, -15033, -50729, -120265, -234921?\n\"Answer: -1880*m**3 + 24*m - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/2)\/((5\/3)\/((-200)\/(-36))).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-15)\/(-10))\/((-3)\/(-20)). Solve 0 = 10*j - 5*j + i for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 25*z**2 - 966*z - 26808. Determine m(-28).\nAnswer: -2112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 7946*m**2 + 3241972*m + 1632 = 0. Calculate m.\nAnswer: -408, -2\/3973","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 479179362?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t - 1. Let k be h(-5). Let v = -16 + 15.7. Which is the smallest value? (a) v (b) -5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*m - 3*m - 60. Let q(z) = -4*z - m*z**2 - z + z**3 - 2*z**2 + 6*z - 2*z - 6. What is q(6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/7, 0.5, 45, 5, 0?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -37?\nAnswer: -11.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 29 = 3*h. Suppose 12*q - h*q = -9. Suppose 5*z = -q*x - 10 + 41, -z + x + 3 = 0. Solve -2*s + z = -3 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2380\/6 - 22\/(-66) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1322341 + -1?\nAnswer: 1322340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13373 or -83?\nAnswer: -13373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 84 = -3*f, 7*l + 3*f + 60 = 9*l. What is the greatest common divisor of 4 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.8 times -5502671\nAnswer: 4402136.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of y**4\/4 - 10*y**3\/3 - 15*y**2\/2 + 5*y - 11. What is the remainder when w(12) is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 + 38. Let h be (-3)\/(-2)*(-10)\/w. Which is smaller: -3\/2 or h?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m**2 - 12*m - 5. Is 28 a factor of c(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 633, -4, 1\/2, -2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*q + s + 8, 1126*q = 553*q + 568*q - 7*s - 37 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.27423485 to 4 dps.\nAnswer: -0.2742","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 10*u**5 - 818*u**4 + 6248*u**3\/5 + 76952*u**2\/5 - 12704*u + 2560 = 0.\nAnswer: -4, 2\/5, 5, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 354259057*g**2. Let z(t) = t. Determine z(h(x)).\nAnswer: 354259057*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 687289408?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 660126 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 + 34 = -2*f. Is f\/(-2)*(6 + 5 - 1063) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 389, 410, 451, 518, 617, 754, 935?\n\"Answer: i**3 + 4*i**2 + 2*i + 382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h + 25. Is b(-13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z**3 + 5*z**2 - 8*z. Let b(u) = 8*u**2 + 77885*u - 4*u**2 - 77893*u - 2*u**3. Give 6*b(q) - 5*f(q).\nAnswer: -2*q**3 - q**2 - 8*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**6*c)\/(c*c*c*c*c**(-3\/2)*c)*(c\/c**(-9))\/((c**(-1\/7)\/c)\/c))**(4\/31) assuming c is positive.\nAnswer: c**(438\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3714 is divided by 59?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/282289 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 + 5*r**2 - 9*r - 9. Let x be c(-6). Let w = x - 6. Let j(s) = -s + 17. Calculate the remainder when j(11) is divided by w.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -7*m + 1. Let v(f) = -7*f + 1. Let h(n) = 3*b(n) - 4*v(n). What is the first derivative of h(z) wrt z?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**22*g\/(g\/((g**(-16)\/g)\/g)) assuming g is positive.\nAnswer: g**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = -s + 2*r + r, -4*s = -4*r - 244. Let t(x) = x**2 + 61*x + 127. Calculate the remainder when s is divided by t(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2)*w)**(1\/18)*(w**(1\/3))**34 assuming w is positive.\nAnswer: w**(203\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 407 divided by -3862.\nAnswer: -407\/3862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44700 and 2100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, s: 1, b: 1, c: 1, z: 3}. What is prob of sequence zze?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203 = -13*z + 5*z - 59 for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0226586 to three dps.\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 - 4 + 3)*(-1 + 1 - 2) - 14 - 19 + 4)*(-4*k + 4*k - k) to the form a*k + j and give a.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y - 5*y - 3 + 2*y + 30 + 0*y.\nAnswer: y + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 2*c = -2*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4\/13 - 1\/39. Let m = -0.4 - 0. Let w = -2130\/13 + 164. What is the third smallest value in w, m, g?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of -w**5\/10 + 5*w**3\/6 - 9*w. Find the second derivative of i(m) wrt m.\nAnswer: -12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j = 6*j + 40. Suppose -2*f - j = -q + f, 4*q - 5*f - 80 = 0. Does 15 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/((m**(-3\/2)\/m)\/m)*m)\/m)**(17\/3)\/(m*m*(m\/(m**(-2)\/m))\/m*m*m*m*(m*m\/(m**(4\/7)\/m))\/m) assuming m is positive.\nAnswer: m**(913\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 208 + -208. Let o be (-2)\/(-7) - (-1830)\/14. Suppose a = -3*u - 50 + o. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + a + 4)*(8 - 6 - 17)*(-18 - 62 + 184) + (0 + 0 + 1)*(3*a - 2*a - 2*a).\nAnswer: -1561*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7\/310, 0, -0.208, 4?\nAnswer: -7\/310","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**3\/(n*n*(n\/(n*n**(2\/7)\/n*n*n)*n)\/n))**47\/(((n**1\/n)\/n)**33\/(n*n**(1\/7)*n\/(n**1\/n))) assuming n is positive.\nAnswer: n**(998\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.4 - 0. Let p = 7 - 8. Which is the closest to 0.1? (a) 0 (b) p (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 49262 and 197049\/4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (22491\/(-28) - -1)\/(((-6)\/(-88))\/(-3)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 295, -4, 1, -1\/23?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -256500 to the nearest one thousand.\nAnswer: -257000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -473 = -4*r - 35*r - 4*r for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 3*j**3 - j + 1. Let t be u(1). Let g = 14 - 6. Suppose g + 68 = 4*i. Solve -2*n + t*f = i, -4*f = -n - 3*f - 7 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -836376211?\nAnswer: -836376212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p + 0 - 5 + 1 - 1. Let a be r(7). Suppose -3*o + 4*o = a. Let i(g) = -g + 4. What is i(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 7*o = -4*o + 10, 3*k - 4*o = -5. Sort k, 4, 7 in descending order.\nAnswer: 7, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 78564 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a micrometer in nanometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -5 - (-7 - 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 5*o - 20. Let h(v) = v**3 + 56*v**2 - 238*v + 153. Calculate the smallest common multiple of h(-60) and b(16).\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -72, -140, -228, -336?\nAnswer: -464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 72479 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -4*q + 4. Let w be s(-4). Suppose -4*f - w = -9*f. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**2 + 18746*h - 3345524 = 0. Calculate h.\nAnswer: 182, 9191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -2*v**3\/5 + 8424*v**2\/5 - 267582*v\/5 + 51832 = 0.\nAnswer: 1, 31, 4180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, 4820 in descending order.\nAnswer: 4820, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + n - 540 = 5*a, -4*a - 4*n - 560 = 0. Let p be 6\/(-9) - a\/24. Solve 0 = p*r - 6*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2237)\/(-2))\/((36\/8)\/9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/9 - 1058*b\/9 + 62696\/9.\nAnswer: 2*(b - 461)*(b - 68)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-5)*14\/(-63)*15\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrkv when four letters picked without replacement from aaaaaavararvvkk?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -3. Let x(g) = -7*g**2 + 58*g - 12. Let t be x(8). Which is the nearest to 0? (a) -0.5 (b) t (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 1 = -2. Let v = 4 - w. Suppose 5*n + 23 = v*m - 0*m, -5*m + 105 = 5*n. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -5*j + 43, 3*j + 24 = 2*f - 30. Let v(o) = 4*o + f - 9 - 12. Let n(p) be the second derivative of -p**3\/6 - 6*p. What is n(v(c))?\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 - 125*i - 33143. Calculate p(-130).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(882)*6)\/(-1*sqrt(384))*-5)**2.\nAnswer: 32995\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4455*n = -4456*n + 86. Solve n*l = 95*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2 + 11527*p - 11528.\nAnswer: (p - 1)*(p + 11528)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of -7*n**5\/30 - 59*n**4\/24 - 5*n**3\/6 + 100*n**2 - 4*n. Calculate r(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from baempxb. Give prob of sequence pm.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 29, 113, 255, 455?\n\"Answer: 29*u**2 - 3*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-26)\/507*-13)\/(4\/(-18)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37655 + -37655. Sort -3, 3, 359, m in ascending order.\nAnswer: -3, m, 3, 359","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0222*46.2301\nAnswer: 1.02630822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 4, 4\/7, 16, -0.7, -6, -26?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1724 is divided by 175.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -35287008 and -603024.\nAnswer: -35890032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -100*c**2 + 7. Let l(d) = 15*d**2 - 1. Let v(s) = a(s) + 6*l(s). Let t(u) = 21*u**2 - 3. Determine -2*t(n) - 5*v(n).\nAnswer: 8*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*l**3 + 3 - 95*l - 4 + 85*l - 2*l**2 - 4 as n + m*l**2 + d*l**3 + u*l and give u.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (7 - 0) + (-14 - (13 - 23))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0082162 + 0.5883152. Let o = m + -0.58. What is o rounded to 5 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 + 2)*(-5*a + 4*a - 6*a)*(2 - 2 + 1) to the form g*a + f and give g.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 31\/(((-4)\/6)\/(-2)). Suppose -2*x + 138 = x. Let z = r - x. Calculate the remainder when z is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3787668348?\nAnswer: 2, 3, 315639029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 83680?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 68 + -77. What is the closest to -4 in -0.3, l, 0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*x - 1291*x**2 + x + 13*x + 2*x**3.\nAnswer: 2*x**3 - 1291*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 79\/18622836 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/((-1)\/((-6 + 2)\/(-8))). Let g(d) = -2*d + 9. Let u be g(6). Put m, 3, u in ascending order.\nAnswer: u, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.04552 + -46.37448. Round g to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7f0 - 6292?\nAnswer: -5aa2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*l - 123*l + 209*l.\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 5\/4 of a microsecond?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 18 = w, -51 = -43*w + 38*w + 2*k. Solve 9*c + 0 = w for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 4*j = j - 14, 16 = -4*j for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 3) to base 6\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1437 is divided by (-1000771)\/(-2587) - (24\/78)\/(1 + -3)?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(15\/(-85)) + (-5 + 4)*3?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3884907 is divided by 2993.\nAnswer: 2986","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5855\/22 + 634\/11. Let o = 222 + c. Is o at most 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 28*p = 461, -5*c - 2*p = 145 - 164 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139 + 45 = 46*u. Suppose -3*y - 5 = -4*q, -3*y + q + 4 - 3 = 0. Sort -5, -2, y, u in decreasing order.\nAnswer: u, y, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.28 in 1\/4, 2, 0.14, -0.05, -39.9?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 157*d**2 - 311*d + 2330. List the prime factors of g(8).\nAnswer: 2, 5, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -32?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1418508273 to the nearest integer?\nAnswer: 37663","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3401341 (base 5) to base 12.\nAnswer: 2a5a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 92.07523mg?\nAnswer: 92075.23","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 7*v**3 - 3)*((-2 - 4 + 3)*(3*v**2 - 2*v**2 - 4*v**2) + 0*v + 0*v + v**2 - 4*v**2 + 3*v**2 - 2*v**2) - v**5 - 4*v**5 + 3*v**5.\nAnswer: -51*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31795 by -4.\nAnswer: -31795\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 28687 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4314?\nAnswer: 2, 3, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in 9, -30.7, -3, -0.378?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 2\/7, 0, 6\/5, 2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 254969 + -26?\nAnswer: 254943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9743 - 16?\nAnswer: 9729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 413972918?\nAnswer: 2, 229, 903871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2402 is divided by 29.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10896 is divided by 835?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhkhkhhhhkkkh. Give prob of sequence hkkh.\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - 9 - (6 - 25).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/14)\/(41\/((-10332)\/(-24)))?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 4:16 AM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 94 - 96. Let h(v) = 30*v**2 - 1. Is h(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 4*y - 27 - 233 = 0, 266 = 4*o + 2*y. Let z = -62 + o. What is the units digit of (1 - 11)*(-34)\/z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -809847318 + -8.721\nAnswer: -809847326.721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 4*a + 30 = 0, 2*a = -7*f + 3*f - 12. Calculate the greatest common factor of 361 and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-6) - 3\/(-3). Let c = -574 + 13200\/23. What is the nearest to j in c, -4, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 223311 (base 5) to base 9.\nAnswer: 11820","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 4 + -3 + -3 + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 878\/(-38) - 18\/(-171). Let v = 73 - 50. Let o = v + f. Solve o = 4*t - t + 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 8, h: 2, m: 7, z: 1, l: 1}. Give prob of sequence zplm.\nAnswer: 7\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r**2 - 66 - 4*r**2 - 25 + 91.\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -73, -136, -201, -268, -337?\n\"Answer: -s**2 - 60*s - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -65*l*t + 189*l + t wrt t.\nAnswer: -65*l + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7 or -108?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.8 * -0.02.\nAnswer: 0.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 237631324 and 1162?\nAnswer: 1162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d + 14*d + 0 - 1 + 0 + 12*d.\nAnswer: 23*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -334 or -338?\nAnswer: -334","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.25*18.17\nAnswer: 4.5425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u**2. Let k(m) = -2442*m. Give k(x(q)).\nAnswer: -4884*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 + 59 = 13*f. Calculate the least common multiple of 27 and (-5)\/f - 19\/(-2).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3020872?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1567 + 410 = 51*q + 532 - 799 for q.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of -m**4\/4 + 7*m**3\/3 - 2. Find the third derivative of q(o) wrt o.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 1475.6.\nAnswer: 2951.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -22*t + 9. Give p(2).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 AM and 9:07 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n - 15. Let s be h(-18). What is the closest to 2\/5 in s, -7\/5, 4?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 s when two letters picked without replacement from {m: 1, a: 1, w: 2, s: 1, o: 1, k: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2398, 4925, 7584, 10375, 13298, 16353, 19540?\n\"Answer: 66*a**2 + 2329*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -12*s**3 + 3*s**2 + s. What is the tens digit of d(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 194, 178, 152, 116?\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -54164 + -35?\nAnswer: -54232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 3*q**2 + 226*q - 336. What is the least common multiple of 212 and a(-77)?\nAnswer: 10388","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 7 + (158 - 168) + -9.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c + 41069 + 762279 = 38*c. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f, 1 g, and 1 c when four letters picked without replacement from {b: 1, c: 1, f: 4, g: 7}?\nAnswer: 42\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1464 = -242*a + 364*a for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(4\/3)*(o\/(o*o**(-3\/5)))\/o*o**(-7)*o\/(o\/((o*o**(2\/3)*o*o*o*o)\/o)))**17 assuming o is positive.\nAnswer: o**(-119\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 4:56 PM?\nAnswer: 8:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9413.1 and 197?\nAnswer: 1854380.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64 - 85*z + 71*z - 65 + 12*z.\nAnswer: -2*z - 129","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7984946*d*g**3 + 4*d*g**2 + 90223*d*g wrt g?\nAnswer: -47909676*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 210.7209, -1, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94689 is divided by 3507.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1322, -2881, -4440, -5999, -7558?\n\"Answer: -1559*m + 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)*-3 + 5)*6.\nAnswer: -36*sqrt(19) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13668?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 7992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 - 6*u + 2. Let z be g(6). What is the tens digit of ((-56)\/6)\/z*-3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 2*s + 12, 0*z + z - 5*s - 6 = 0. Suppose z = -v + 9. Solve -4*n = -v*n - 2*w + 5, -2*w = n - 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + y = -n - 10, -7 = 4*n + 5*y. Solve 0*p = -n*p - 10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t + 24 - 9*t**3 + 8*t**3 - 7*t**2 + 6*t - t. List the prime factors of k(-9).\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*234\/(-39)*(64\/(-6))\/16?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -3, 2, 3588, 1, 25 in descending order.\nAnswer: 3588, 25, 3, 2, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Is 207 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dydd when four letters picked without replacement from {y: 5, d: 7}.\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -3, -1\/3, -3.23?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 47, 241, 571, 1031, 1615?\n\"Answer: -q**3 + 74*q**2 - 21*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 22*h**2 - 20*h - 26. Let d be q(21). Which is the nearest to -0.1? (a) 0 (b) d (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0243 - -415.0243. Let z = f - 412. What is the smallest value in 0.13, z, 1\/7?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*m**2 - 21*m**2 - 2*m**3 + 2 - 2*m**4 + 21*m**2 to r + i*m**3 + d*m + h*m**4 + w*m**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5600, -3, 2, -5, -512 in decreasing order.\nAnswer: 5600, 2, -3, -4, -5, -512","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 2*h**4 + 3 - 3*h**4 - 13*h**4 + 7*h**4 + (2 - 1 - 3)*(-3*h**4 + 2*h**4 - h**4).\nAnswer: -3*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1905*n + 1908*n = 3812*n + s + 5, 5*n + 5*s = 25 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j**2 - 2*j**2 - 3*j**2 + 5*j**2. Let w(b) = 13*b. Calculate w(s(p)).\nAnswer: -26*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 242 + 4?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(4*(-2)\/(-8))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x. Let v(h) = 2*h**3 - h**2 + 2*h - 1. Let s be v(1). Calculate o(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + 13. Suppose 0 = -4*g - 4*j - 26995 - 1493, -3*g = -3*j + 21336. Is 4\/h - g\/121 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 4) to base 14\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/(-8))\/((-2)\/(-24)). Let g be r\/21 - 51\/(-7). Suppose u - g = -0*u. Which is greater: u or 13\/2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00037906937 rounded to seven dps?\nAnswer: -0.0003791","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 7879?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 32219.03 centuries in decades?\nAnswer: 322190.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2993 and 7519.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*t, 5*h + t + 1266 - 1291 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 - 4*t**2 + 2*t + 5. Calculate c(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(96)\/sqrt(4))\/(sqrt(972)*-1).\nAnswer: -sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-302)\/16)\/((-16)\/(-96)). Let j = -113 - z. Let i = 13 - 12.7. What is the nearest to 2\/7 in j, i, -3\/4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((28\/18)\/(20\/(-1800)*-10))\/(-2)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 54 - 57.9. Let s = -1.1 + t. Let q = -659 - -2635\/4. Sort s, q, -0.24, -3.\nAnswer: s, -3, q, -0.24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1962 + 1961.7. Let i(j) = 18*j + 5. Let z be i(-6). Let f = z - -314\/3. Which is the third smallest value? (a) f (b) u (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -46 - -48.96. Let s = 0.193 - 0.153. Let o = z + s. Which is the closest to 0? (a) o (b) -0.5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*o + 4*o - 9*o to y + h*o and give h.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10111102 + 211?\nAnswer: -10110231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6540, -6540, -6542, -6546?\nAnswer: -6552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (33\/132*(-96)\/(-28))\/(-6 - 990\/(-168))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - z + 12 = 0. Suppose i - 11 = z*t, 2*t + 6 = i - 7. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 + 19. Suppose 0 = x*p + 2*p - 14. Calculate the least common multiple of 24 and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(1 - -6*1\/(-2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 2.2. Let a = 6 - 1. Let p = -4.05 + 0.05. Put a, f, p in decreasing order.\nAnswer: a, f, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - x + 10. Let b be q(0). Suppose -10*a + b = -5*a. What is the first derivative of -5*w**a + 2*w**2 - 6*w**2 + 5*w**2 - 13 wrt w?\nAnswer: -8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/828 and 45\/50876.\nAnswer: 457884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/(-720)*(-28)\/(-4)*3.\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 4*t**2 + 9*t - 72. Let g(o) = 3*o**2 + 6*o - 48. Let a(p) = 7*g(p) - 5*l(p). Let u be a(-7). Round u to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*w - 9*w - 5 + 3*w**2 + 12*w to p*w + n + g*w**2 and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105\/42*-1*2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-130)\/48*(-816)\/12. Let q = h - 413\/3. Calculate the common denominator of q and 87\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5852618?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -594.9 - -594.4. Which is the biggest value? (a) 4 (b) -5 (c) p (d) 12.97\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.1 - 1.255. What is s rounded to 2 dps?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -353516560?\nAnswer: -353516556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 647745 by -35.\nAnswer: -18507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.08558195 to four dps.\nAnswer: 0.0856","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 43 = -5*d, -122*p + 5*d - 23 = -119*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 148103818*j**3 - 578428057*j**2 wrt j?\nAnswer: 888622908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**3 - j**3 + 1080515 - 1080515.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4064 - 4054. Suppose -9 = -0*p - 3*p. Solve 4*y - 5*v + 3 = 9, 4*y = -p*v - b for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-3 - -6) - (885 + -907 + 69 + -1)\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 13\/28, 2\/9, -17, 5\/39, -5?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 753081 (base 12) to base 11.\nAnswer: 1054582","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -57120 + 82657. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y + 14 = 54. Let p = 168 - 165. Solve -z + 2*h = -y, p*z - h + 4*h - 6 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 246.\nAnswer: -1\/246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mkizmjk. What is prob of sequence kmkj?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 699735*n + 699735*n + 0 + 699741*n + 0 - 2099210*n.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 280 and 182.\nAnswer: 3640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 556188, 556171, 556152, 556131, 556108?\n\"Answer: -w**2 - 14*w + 556203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -219, -8, -24, -4 in descending order.\nAnswer: -4, -8, -24, -219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 15*m + 17. Let r(x) be the second derivative of 2*x**3\/3 - 6*x**2 - 25*x. Let h be r(5). List the prime factors of z(h).\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35407080 is divided by 38?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o**2 - 1. Let y be n(1). Let q be 0 - (y + -51 - 1). Suppose -3*k + q = 3. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16661, -133252, -449713, -1065986, -2082013, -3597736, -5713097?\nAnswer: -8528038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 70?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -4 - 3*l**2 - l**2 - l**3 + 8*l**2 + 6*l. Let x be o(5). Let c = x + 0. Solve j + 0 - c = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of q**4\/4 - 16*q**3\/3 + 8*q**2 - 8*q + 21. Let k be a(15). Let p = k - -3. Solve -p = -2*b - 2*z, b - z = 3*z - 5 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r**2 - 187 + 265 - 2*r**2.\nAnswer: 2*r**2 + 78","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(33)*2)\/(sqrt(48)*-2) + -3 - (-1 + -3 + (sqrt(176)*-2*6 + sqrt(176))**2).\nAnswer: -21295 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 2 = 3*l - 8, -5*v - 30 = 5*l. What are the prime factors of (l*172)\/(((-35)\/10)\/7)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39\/248 - 1\/31. Suppose 0 = 19*q - 15*q + 8, 3*z + 7 = 4*q. Which is the closest to 1? (a) z (b) o (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 6, d: 2, s: 2, j: 1}. What is prob of picking 1 j and 2 d?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/6 + (-177)\/(-18). Let p(x) = 3*x**2 - 11 - 2*x - x**3 + 7*x**2 + 7*x. What is the tens digit of p(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17289.51 - 17291. Which is the third smallest value? (a) -3\/4 (b) 0.02 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30.8873 less than or equal to 791\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 - 920*f - 81386. What is t(-99)?\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 21193 = -r, -206 = 2*r - 214. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - (-12 + -9) - -10) + -58 + 0.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 327\/2 - 191. What is the common denominator of o and 58\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*((-2)\/4)\/(40\/(-48)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -170.607 + -0.393. Let r = g - -170.9459. What is r rounded to 3 dps?\nAnswer: -0.054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 divided by -37?\nAnswer: 38\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -5*q - 37, -5*q = 3*d - 4*q - 31. Let f be 3 - (-13)\/(-4) - (-303)\/d. Solve 0 = 9*b + f + 2 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -k - 5. Let f = -4 - k. Factor 2*s**f - 2*s + 1\/2*s**4 - 2 + 3\/2*s**2.\nAnswer: (s - 1)*(s + 1)*(s + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 6 + (9 - 13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13423 - 13423 + 312*q to n*q + s and give n.\nAnswer: 312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 31 = 47. Let d be 5\/(10\/g) - -76. List the prime factors of (0 + -5)*(d\/(-10) + -3).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 22. Is 3 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3758 - 3760 + 7521. Let a(p) = p**2 - 1. Calculate a(c) + s(c).\nAnswer: c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 11060, 89365, 301912, 715823, 1398220, 2416225, 3836960, 5727547?\n\"Answer: 11187*u**3 - u**2 - u - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + 22*v**2 + 38*v + 39. What is the units digit of i(-16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 15*s - 58. Let h be l(24). Suppose -5*y + 127 = 2*w - h, 4 = 2*w. Calculate the highest common factor of y and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 3*y - 140 - 5, 2*l - 290 = 2*y. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3611 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - 6*j**2 + 8*j - 4. Let r(y) = -y**2 - 4*y + 22. Let m be r(-6). Suppose 2*c + h = c + 16, c - h = m. Suppose -5*d = 22 + c. Determine q(d).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**(2\/11))\/(c\/(c*(c*c**(4\/5)\/c)\/c*c)*c*c))\/(c*c**(-1)*c*c\/(c\/(c**(5\/4)\/c))) assuming c is positive.\nAnswer: c**(-59\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 110 + -31 + (15 - 51)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 4, 8, 7.\nAnswer: -1, 4, 5, 7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.25 - 0.21. Let p = -3.96 - w. Let o = p + 3.8. Which is the nearest to -2? (a) 2 (b) o (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13329 + 13354. Calculate the remainder when 939 is divided by b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15472114 (base 8) to base 13.\nAnswer: -97c488","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 120627993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 79 - 2*w + 247 - 55 as l*w + j and give j.\nAnswer: 271","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25548015 by -22235.\nAnswer: 1149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-72)\/28*(406\/3)\/29.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -9*u**4\/4 + 217509*u**3\/4 + 507555*u**2\/4 + 362547*u\/4 + 36255\/2 = 0?\nAnswer: -1, -1\/3, 24170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 61*s - 1. Let l be i(1). Suppose -v = c + 18, 4*v + 0*c + c + l = 0. What are the prime factors of (-9614)\/(-133) + 4\/v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 6*b**4 - 6*b**3 + 6*b - 6. Let k(a) = -a**4 - a**3 - 1. Let l(r) = -h(r) + 6*k(r). Find the second derivative of l(j) wrt j.\nAnswer: -144*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in thirteen fifths of a hour?\nAnswer: 9360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2678 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 36602 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9999 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -865363694, -865363692, -865363690?\nAnswer: -865363688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 63\/5 - 456\/35. Which is smaller: -1 or j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*b - 159 = 26 + 1363 for b.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 q when two letters picked without replacement from rqrnrrirriziirq.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4426655, -4426654, -4426653, -4426652, -4426651?\n\"Answer: c - 4426656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34*(-8)\/(-1088)*-56?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 0.1 (b) 279\/91 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 280330493 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (85952\/24)\/(3\/9). Suppose -13*q - 1995 = -b. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -273 - 302 + 577 + 1932*l to w*l + g and give w.\nAnswer: 1932","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -9, 4*n - 7 = 2*k - 61. Let m = n + 20. Suppose 3*p - 4*h + 13 = 0, -m*h + 5 = -3*p - 3*h. Solve -2*v + p = -v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - 2*m - m)*(-3 - 2 + 4)*(-2*m + 3*m + m)*(7 - 7 + 6*m).\nAnswer: 24*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3, 0, -54?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j = 3*u - 119, -5*u + 276 = 7*j + 171 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*t - 22 + 6, 22 = 2*i - 2*t for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66269859?\nAnswer: 3, 17, 47, 27647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 1:19 AM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 688 and 4.\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 108, 0.8, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/3, 318908, 415?\nAnswer: 415","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, b: 13}. Give prob of picking 3 b.\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 28023091 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1032 - 10?\nAnswer: -1102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 + 0 - 2)*(-3 + 0 + 1) - 183 + 87 + 82 + (-2 + 2 + 2)*(0 + 0 - 1))*(2*v - 2 + 2)*(4*v + 3*v - v).\nAnswer: -240*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q. Let r(w) be the first derivative of -w**5\/20 - w**2\/2 + 3. Let f(m) be the second derivative of r(m). What is f(c(l))?\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 AM and 3:34 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/((4*-1)\/((-60)\/(-30))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(480)*2 + sqrt(480))\/((sqrt(864) - sqrt(864)*1)*-6 + sqrt(864)).\nAnswer: 7*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 64908640.699 - 64909442.69898882. Let z = r - -802. What is z rounded to seven decimal places?\nAnswer: 0.0000112","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 - 4 + 6)*(5 - 1 - 3) + (-2 + 5 - 2)*(6 - 4 - 3))*(-3 + 3 - l**4).\nAnswer: 3*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2068848 rounded to the nearest one thousand?\nAnswer: 2069000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h - 12. Let v be (-5)\/(-1)*2\/2. Give y(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -1530*p**2 + 18374*p + 4. Determine n(12).\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*i**2 - 214*i**3 + 215*i**3 - 11*i**2 to k*i**3 + f + y*i + n*i**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78902?\nAnswer: 2, 39451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-6 + 0 + 5)*(5*i**2 - 3*i**2 + 0*i**2) + 2187*i + 48*i**2 - 2187*i)*(-5501 + 108*i + 5501) to the form r + s*i + b*i**2 + z*i**3 and give z.\nAnswer: 4968","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/3 or 2\/15?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14138 + 70693\/5. Suppose 5*l = q + 4 + 7, -5*l + 4*q + 14 = 0. Determine h, given that -c*h**3 - 24\/5 - 18\/5*h**l - 36\/5*h = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 11802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-6)*(-2280)\/(-80))\/(1\/8)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 413 (base 11) in base 5?\nAnswer: 3443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0033046 to four decimal places.\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 277610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 t when two letters picked without replacement from {t: 3, x: 2, y: 2, m: 4, q: 1}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 4*o**3 + 3*o**2 - 8*o + 12. Calculate m(3).\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -27025*y**3 - 3*y + 2. Let p be a(1). Let c = p - -486593\/18. Find the common denominator of 45\/14 and c.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1510, -3018, -4520, -6016, -7506?\nAnswer: -8990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 358 is divided by 47.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 10 = 3*n, -5*n = -3*m - 0*m + 4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 5*h + 7 = 0, -r + 6*h - 9 = 3*h for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 2 + 0*x - 11*x - 33*x.\nAnswer: -44*x - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 AM and 4:13 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 276111641 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.8685188 - -1.8644. What is k rounded to four dps?\nAnswer: -0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 18168.63 centuries?\nAnswer: 1816863","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*n + 248 = -255 - 1 for n.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p - 2*p - 2*p**2 + (-19 + 8*p + 16 + 5)*(3 - p - 3).\nAnswer: -10*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 + m - 1. Let p(b) = 10*b**2 + 14*b - 16. Determine 12*c(x) - p(x).\nAnswer: 2*x**2 - 2*x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 30164546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 PM and 11:42 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 202820 (base 12) to base 5\nAnswer: 112033141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 98 - 85. Calculate the remainder when 51 is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 3.7. Let y = 0.025 + -0.125. What is the closest to y in 5, g, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23275087?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*h + 6 = 35*h. What is the second derivative of -15*s - 3*s + 19*s**h + 2*s + 5*s wrt s?\nAnswer: 114*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of i**6\/180 - i**5\/120 + i**4\/2 - 2*i. Let c(k) be the third derivative of w(k). What are the prime factors of c(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2834 is divided by 921.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 50 and 26525.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 7:42 PM?\nAnswer: 3:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 513799473?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -420, -55, -2 in increasing order.\nAnswer: -420, -55, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-61 - -56 - (6 - 0)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of 2*m**5\/55 - 3*m**4\/22 + 4*m**3\/33 - 35. Factor g(c).\nAnswer: 2*c**2*(c - 2)*(c - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.649436 and 0.2.\nAnswer: 0.5298872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 167438003017 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 4 = -16. Let v be p\/3 + 2\/(-3). Let j be (-13)\/(-4) + (-26)\/104. Sort j, v, 2 in descending order.\nAnswer: j, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + -893?\nAnswer: -892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-77\nAnswer: 30.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.051 + 0.051. Let f = 2 - 2. Let l = -0.1 + 0.5. Which is the closest to t? (a) l (b) 3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*h + 69 = 89*h. Let v(z) be the first derivative of 6 + 2*z**2 + 0*z - 2\/3*z**h. Factor v(i).\nAnswer: -2*i*(i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 - 23. Let w be x\/(-2) + (4 - -3). Suppose -8 = -2*s - w*s. Calculate the highest common factor of 11 and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 139, 516, 1161, 2110, 3399, 5064?\nAnswer: 7141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tuzkp. Give prob of sequence tz.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 669 = 222*t - 441. Let d(x) be the first derivative of 0*x**3 + 26*x + 0*x**4 + 9\/5*x**t + 0*x**2 + 3. What is the derivative of d(p) wrt p?\nAnswer: 36*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/523 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 769877 and 193?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 2. Let q = 1 + -1.1. Which is bigger: s or q?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -699 + 11*h**2 - 5*h + 413 - 639 - 437 + 85 wrt h.\nAnswer: 22*h - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 122486 and 182.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -1. Let u be 0*(52\/(-48) - (-36)\/48). Solve -2*k + t + 2 = u for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1729001, -6916008, -15561023, -27664052, -43225101?\n\"Answer: -n**3 - 1728998*n**2 - 6*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 121864 and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of -j**7\/280 + j**6\/60 - j**3\/6 + 4*j**2. Let p(b) be the first derivative of z(b). Factor p(a).\nAnswer: -3*a**2*(a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2709 = -441051*v + 441114*v for v.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 30 = -x, -4*x = 2*q - q - 15. Suppose 0 = x*u - u + 16. Let s be ((-6)\/u)\/((-120)\/32). Sort 5, -1, s in decreasing order.\nAnswer: 5, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - j + 41 = -0, 2*j - 38 = -4*d. Solve -1 + d = -5*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*v**4 + 24 + 188*v - 9*v**5 + 56*v**3 + 59*v**3 + 0*v**4 - 35*v + 5*v + 251*v**2 = 0.\nAnswer: -3, -1, -2\/9, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6 - -12)*(-4)\/6. Is -1 + 8753\/3 - b\/9 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k + 4. Suppose -2*q - 2*q - 5*u + 24 = 0, 0 = 2*u + 8. Calculate the lowest common multiple of v(3) and q.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-128)\/(-28) + -5 - 495\/(-77). Calculate the greatest common divisor of 174 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 365649, 731241, 1096833, 1462425?\n\"Answer: 365592*h + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 - 0 - 3) + 3. Find the second derivative of 2*q - 3*q**z + 0*q + 5*q**3 wrt q.\nAnswer: 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 + 6*f + 5. Let r be v(7). Suppose 5*n + 0*n = -20. Let m be (-43)\/9 - n\/(-18). Which is the biggest value? (a) m (b) r (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*x**2 + 2 - 2)*(2 + 2 - 5)*(100 - 1893 - 1050 - 856) in the form y*x + b + o*x**2 and give o.\nAnswer: -7398","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 10\/3 of a year?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/3)\/(s\/(s*s**3)))**(-6\/13)\/((s**(2\/5)\/s*s)**(-3\/23))**(-1\/15) assuming s is positive.\nAnswer: s**(-9226\/7475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -591 + 299 + 11981*q + 292 + 2682*q.\nAnswer: 14663*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -288*a**2 - 2 + 252*a**2 - 484*a**2 + 159813*a - 159813*a.\nAnswer: -520*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b**2*d + b**2 - b*d + 3*b + 469*d + 5224 with respect to d.\nAnswer: 2*b**2 - b + 469","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -106 - -93. Put 1, -2, o in ascending order.\nAnswer: o, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p*p**6*p)))\/p**11 assuming p is positive.\nAnswer: p**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2396 (base 15) to base 16.\nAnswer: 1d8e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 10:52 PM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 3*m - 3. Suppose -b + 13 + 7 = 0. Let h = b - 24. Give a(h).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 52.4 from 3.953.\nAnswer: -48.447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 248422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 7) to base 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b + 25 = 67. Sort b, -5, 1.\nAnswer: -5, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -439.07 + 439. Let n = -0.022 - 3.078. Let w = -3 - n. What is the second biggest value in -5, q, w?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1225950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41, 84, 131, 182?\nAnswer: 237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/54 of a day in seconds?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 13*n**2 + 16*n + 58. Calculate j(11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 + 8*a + 7. Let z be q(7). Let p = -0.913 + 1.413. What is the second smallest value in -2\/15, p, z?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 7*f - 29. Let p be m(8). Suppose 8*t - 13 = p. Solve b - 24 = -2*o - 3*o, -o - t*b = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -9*d**3 + 17*d**2 + 12*d + 2. Let p(y) = 30*y**3 - 47*y**2 - 35*y - 6. Determine -11*g(v) - 4*p(v).\nAnswer: -21*v**3 + v**2 + 8*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 5:02 PM?\nAnswer: 7:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3*((70\/(-15) - -4) + -4). Let j be (-117)\/126 + (-6)\/v. Let s = 13\/10 + -4\/5. Which is the nearest to s? (a) 1\/5 (b) 4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 2, 4, 0, 3 in descending order.\nAnswer: 21, 4, 3, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 32*j - 455. Let b be a(15). Put 5, -1, 6, b in ascending order.\nAnswer: -1, 5, 6, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39321 a multiple of 153?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -33428 + 33425. Let k = 8.8 - 9. Which is the nearest to k? (a) -3\/8 (b) -6 (c) q (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(48)\/(2*sqrt(4)))\/(sqrt(216) + (sqrt(216) - -2*sqrt(216))).\nAnswer: sqrt(2)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -255 - -242. Is q < -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 34 - 29. Suppose 3780 = -8*o + a*o. What is the tens digit of (o\/(-50))\/(2\/5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.33412 litres in millilitres?\nAnswer: 69334.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 125925557 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5 = l, -2*v = l - 14 + 3. Suppose 0 = -2*b - 5*d + 3, v*b + d = 47 - 14. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8509 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -266, -267, -268, -269?\n\"Answer: -v - 265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00066485012 to seven dps.\nAnswer: 0.0006649","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of o**4\/12 - o**3\/3 + 2*o**2 + 1. Let y(t) be the second derivative of l(t). What is the derivative of y(s) wrt s?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 4*g**2 - 4*g - 4. Let p be o(-4). Let a = -3766 - -3842. Let f = p - a. Solve f = m + 2*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, -409249\/6, -34 in descending order.\nAnswer: -3\/7, -34, -409249\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -4*p**2. Let i(o) be the second derivative of o**4\/6 + o**3\/6 - 333*o**2 - 12391*o. Give i(s(h)).\nAnswer: 32*h**4 - 4*h**2 - 666","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 1 = 2*a, 0 = 3*f - 2*f + 2*a - 7. Suppose 2*q - 5*m = 86, -5*q + 169 = 2*m - f*m. What is the greatest common factor of q and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 6, r - 30 = -3*r + 5*s. Solve 5*q = 3*l + 9, r*q - 7 - 8 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 447 is divided by 234?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 7*k - 222 = 0. Let q = 54 + k. What is the remainder when 46 is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fttsvuu. What is prob of picking 1 t and 2 u?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14302 + -1103654?\nAnswer: -1056352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -43 - -42. Let q = -85\/9 + -1\/18. Let f = 9 + q. Is k >= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 24 = -n, 2*s + s + 12 = n. What is the common denominator of (6\/77)\/(4\/n) and (-786)\/(-12)*(-3)\/(-30) + -3?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 618, 2408, 5386, 9552, 14906, 21448?\n\"Answer: 594*h**2 + 8*h + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9052?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ill when three letters picked without replacement from ililli.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**2 + 3*s**2 - 2*s**2)*(-2 - 2 + 5 + 4 - 1 - 2 + 1 + 2 - 4 + (-3 - 2 + 4)*(4 + 0 - 3) + 0 - 3 + 4 - 3 + 1 + 3).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-7))\/(354\/295).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 14*q**2 + 2*q + 7. Let i be o(-8). Suppose 4*f + f + i = 0. Let c = -46 - f. Calculate the highest common factor of 87 and c.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*z = 166 + 58 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 63 + 68 - 131 + 70*w - 252*w as l + d*w and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 5 + 78\/(-7).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4d7 (base 16) to base 11.\nAnswer: a27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 9*w**2 - 99*w + 23. Calculate k(11).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/(-3))\/(-2))\/((-3)\/(-36)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 + 11*y - 4. Let k be p(6). Suppose 0 = d + s - 26, 5*d = 31*s - k*s + 110. Is 13 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -24*t**3 - 6*t**2 + 17*t - 3. Let a(l) = l**3 - l**2 + l + 1. Let v(x) = a(x) - d(x). Determine k so that v(k) = 0.\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 3\/2, 0.3, -66, -4\/3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 73884.93 centuries in years?\nAnswer: 7388493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35 and 300.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -535*v + 401587 - 49403 = 2113*v for v.\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 1, -5\/77, 37, -0.5.\nAnswer: -0.5, -5\/77, 2\/3, 1, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 143 + -138 + (-13 - 0).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1793*a - 143*a + 72 - 80 + 483 wrt a.\nAnswer: -1936","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -7*k. Suppose -2 = y - 2*y. Let w(u) = -2 + y + 6*u - 4*u. Give w(c(d)).\nAnswer: -14*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 375837?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of -1\/4*h**4 + 20 + 1\/6*h**3 - 17*h + 1\/10*h**5 + 0*h**2. Let b(w) be the first derivative of n(w). What is b(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 142 + -1276\/9. Let d = -3177\/2 - -1588. What is the nearest to 1\/7 in -3, d, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 24417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 8*v**3\/5 + 141*v**2\/5 - 1575*v - 3250 = 0.\nAnswer: -325\/8, -2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 105 divided by 21\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1014.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 3*w + 6. Let j be b(-2). Suppose j*z + 1925 = 5*z. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12167.727033 take away 0.4?\nAnswer: -12168.127033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 251047.7 millilitres in litres?\nAnswer: 251.0477","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 155\/(-10) - (-35)\/(-14). Let t be h\/(-24) + (-2846)\/(-8)*-5. What is t rounded to the nearest one hundred?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54779 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c - 5*c + c + (0 - 1 - 1)*(3*c + c - c) - 34*c + 211 + 316 + 33*c to the form j + l*c and give l.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -9911, -19825, -29739?\n\"Answer: -9914*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1512*p = 1558*p - 460 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 8\/60 - 23840\/(-75)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -570 divided by -6\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23530476 is divided by 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v - 2. Let q(k) be the second derivative of k**3\/6 + k**2\/2 + 51*k - 2. Determine 4*n(g) + 7*q(g).\nAnswer: -g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 3, -2, 1 in descending order.\nAnswer: 3, 1, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80 and 790?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 5*r + 4 = 0, 9*n - 10*n - r = -1. Which is smaller: n or 2\/1369?\nAnswer: 2\/1369","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20200110101 + -101?\nAnswer: -20200110202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 26807967\nAnswer: 2\/26807967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -150131 or -150127?\nAnswer: -150131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -69014*m**3*o*y**2 + 1659*m**3*o*y + 2*m**3*o - m**2*o*y**2 + 2*m**2*o + m*o*y - o + 4*y wrt y.\nAnswer: -138028*m**3*o - 2*m**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 6:17 AM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 373310?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = r - 4. Let l be 2\/r - 1750\/4. Let w = l + 168. What is w rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1758*b - 498*b - 646*b)*(0 + 0 - 3) + 3*b + 2 - 2 to the form d + u*b and give u.\nAnswer: -1839","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 47, 79, 111, 143, 175?\n\"Answer: 32*i + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -8*v**5 - 1636*v**4 + 4140*v**3 - 20*v**2 - 4132*v + 1656 = 0.\nAnswer: -207, -1, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a meter in micrometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 156167524 a multiple of 382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 83934529?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-33) - 0 - 26\/(-22). Let w = 4 - 3. What is the units digit of (y\/w - -13) + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*m + 7*x + 10*x - 137, 73*m - 78*m - 2*x = -38 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 116625 and 2450?\nAnswer: 11429250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.6 - 44119.1.\nAnswer: -44123.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1068 + 1162. What is the least common multiple of t and 2?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2766*l**2 + 5*l + 1. Let b be p(-1). Let u = b - 16523\/6. Let h = 198\/29 + -1231\/261. What is the common denominator of h and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-7 + -1 + 13 + -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -786 divided by 389.\nAnswer: -786\/389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-1 - (-20)\/8). Sort x, 5, 4 in ascending order.\nAnswer: x, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-55)\/22*26\/65. What is the second smallest value in 0.5, k, 43, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 720 = -1620. Let w = f + 1321. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 16 = -l. What is the second derivative of -5*o - 5*o - 3*o + 4*o**2 - 3*o**l wrt o?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 44\/(-3) - (-40)\/60. Let m = x - -5. Let c be m*(-1)\/2*14. Calculate the highest common divisor of 9 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*r**3 + 4*r**3 + 28*r**3 + (0*r - r - r)*(r - 2*r**2 - r) + (1 - 1 + 2)*(3*r**3 - 4*r**3 + 2*r**3).\nAnswer: 27*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1550652402 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + 2 + -27 + 8.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30 - -52. Let p = k - 17. Solve p*r = r - 4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -b - 5*c, c = 2*b - c - 8 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 137817 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 302033317 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50 and 11735.\nAnswer: 117350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m - 7. Let t be z(-5). Let i = -7 - -1. Let a be i\/(-15) - 4\/10. Sort t, -4, a in ascending order.\nAnswer: -4, a, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1241399.\nAnswer: 157, 7907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -1103 + 1063. Let h(r) = r**3 + 10*r**2 + 11*r + 2. What is h(l)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5486612 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 + 3*y + 10. Let h be w(5). Suppose -5*t = -x - h*t, -2*t = -4*x. Suppose x = 8*r - 14*r + 414. Is r a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (150\/(-9))\/((-2)\/6). Suppose -5*w = 4*m - 85, 4*m + w - n = m. Does 6 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2470, 2447, 2408, 2353, 2282, 2195?\nAnswer: 2092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 1368 = -4*l, -2*d + 4*l = -6*d - 1400. Does -347 = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/1990419039 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -3*h**2 - 36*h + 29. What is f(-20)?\nAnswer: -451","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -92 divided by -5?\nAnswer: 92\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/3 (b) -1 (c) -0.5 (d) 0.5 (e) -2\/13 (f) -63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 6*v**2 - 11*v + 4. Let q(k) = k**2 - 61*k + 2. Let s(h) = 2*h**2 - 211*h + 6. Let y(t) = 7*q(t) - 2*s(t). Determine -4*c(b) + 9*y(b).\nAnswer: 3*b**2 - b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*4.039\nAnswer: -2.0195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -3*k**3 - 1454958*k**2 - 176319779220*k + 21532674107256 = 0?\nAnswer: -242554, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*h - 3*i, -2*h = 5*i - 2*i for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v = c + 22, -12*v + 2*c = -13*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 160 - 153. Suppose 5*l = c*l - 376. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2897, 30210, 104331, 248660, 486597, 841542?\nAnswer: 1336895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71232704.\nAnswer: 2, 1113011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36555*y + 32064 = -37056*y for y.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**5\/13 - 32*b**4\/13 - 120*b**3\/13 = 0. Calculate b.\nAnswer: -10, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 17\/2 of a week?\nAnswer: 85680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 49055 - 25753867\/525. What is the common denominator of 53\/300 and n?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3908306123 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g - 154. Let r(p) = -5*p - 3*p + 12*p - 4*p + p. Calculate t(r(l)).\nAnswer: -l - 154","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -150738882?\nAnswer: 1\/150738882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-z - z + 6*z)*(2 - 11 - 2 + (3 - 1 + 0)*(1 - 3 + 1) + 2 - 2 + 2)*(1 - 6 + 4) to the form m*z + w and give m.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - (-2 + -5 - -6). Solve i = -13*k + 21 + 44 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**11*c**(-1\/7))**(-50) assuming c is positive.\nAnswer: c**(-3800\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i - 6. Let n be o(-7). Suppose -4*b + 64 = -n. Let q = 170839 + -170804. What is the remainder when q is divided by b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 399481 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 94a106 (base 15) to base 4\nAnswer: 122332102020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/36 + (-369)\/(-4). Let j be 2*(s\/(-24) - -2). Let a(i) = -32*i**2 + 287*i + 4. Let b be a(9). Which is smaller: b or j?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*b = 2*y - 46, -3*b + 138 = 3*y. Suppose 2839 = y*c - 289. Calculate the least common multiple of c and 136.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 PM and 1:37 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 10101110011111110?\nAnswer: 10101110100000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 1255 - 5655. Round s to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 + 9*m - 9. Let y(s) = s**3 + 5*s**2 + 5*s + 4. Let x be ((-4)\/2)\/(2\/3). Let p be y(x). What is the units digit of h(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - ((-6 - -2) + 6) - -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 4*a**2. Let g(j) be the first derivative of 2*j**2 - 7. What is g(q(i))?\nAnswer: 16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1a94777 (base 14) to base 3\nAnswer: 220221222111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 6:15 PM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*t - 3*t - 20, -2*j = -2*t - 42. Let n = j + -12. Calculate the greatest common factor of 13 and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z*z**(-4\/3)*z*z\/(z*(z\/(z\/(z\/(z*z*z*z**17*z))))\/z) assuming z is positive.\nAnswer: z**(68\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69829270.\nAnswer: 2, 5, 7, 107, 9323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -3*g**3 - 7*g**2 - 7*g + 7. Let v(x) = x**3 + 2*x**2 + 2*x - 2. Let i(l) = -l**3 - 23*l**2 - 66*l - 127. Let z be i(-20). Calculate z*v(q) - 2*b(q).\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 2*x - 5*x = 6, x = 2. Let k be ((-15)\/(-12))\/((-52)\/(-16) - w). Solve -2*l = 4*m - 22, 0 = 4*m + k*l - 19 - 12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/6, -2\/9, -0.11 in decreasing order.\nAnswer: -0.11, -2\/9, -7\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-4*sqrt(1872) + sqrt(1053)*3 - ((sqrt(13) - (1 + sqrt(468))) + 2)*4))**2.\nAnswer: 8*sqrt(13) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.41 - -0.51. Let t = 0.868 + 0.132. Suppose 0 + 10 = 2*q. Which is the second smallest value? (a) s (b) q (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 31279243 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/77, -1822, 6 in ascending order.\nAnswer: -1822, -2\/77, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + n + 38 = 4*x, -x + 13 = -2*n. Factor w**3 - x - 2*w**4 + 5 - w**3 + 4*w**2.\nAnswer: -2*(w - 1)**2*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1372*t**3 + 566*t**3 + 621*t**3)*(5 - 5 - 2) - 16*t**3 + 7*t**3 - 8*t**3 to the form p + z*t + x*t**2 + g*t**3 and give g.\nAnswer: 353","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 19 = -5*a, 3*v - 2*a + 16 = -0*a. Let c = 888 + -886. Sort 5, v, c, 0 in ascending order.\nAnswer: v, 0, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44748143 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 218665\/217896 + 22\/9079. Calculate the common denominator of p and -151\/600.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 0*y - 52 = -4*n, n = 2*y + 24. Factor 36*z - n*z + z**2 - 17*z.\nAnswer: z*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 PM and 2:47 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = -5*a - 14, -4*p - 1 - 3 = -a for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-11737531.\nAnswer: 58687655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 4*b - 20. Let y be 35\/b*20\/14. Suppose w - y = -l + 15, -5*l - 2*w + 131 = 0. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1465 + -4394\/3. Put -9\/4, -3, -6\/7, f in descending order.\nAnswer: f, -6\/7, -9\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45271661?\nAnswer: 19, 79, 30161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**4\/2 + 412040*i**3 - 84911551904*i**2 + 9506217692160*i - 266137919889408.\nAnswer: -(i - 411984)**2*(i - 56)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*p**3 - 64*p**3 - 3*p + 6*p.\nAnswer: -48*p**3 + 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47 - (-9 - -30 - -60).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1401*c - 1402*c + 2*a + 6704 = 0, -2*c + 5*a = -13406. Calculate the highest common divisor of 364 and c.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 113415 - -a68?\nAnswer: 114382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((0 + sqrt(1088))*5 + sqrt(1088) + (((-1 + sqrt(1088))*-1)**2 - sqrt(1088)) + 5 + ((1 + sqrt(1088))**2 + -4 - sqrt(1088)) + sqrt(1088)).\nAnswer: -8716 - 160*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -9*l**2. Let d(o) be the first derivative of -o**5\/60 + 9*o**2\/2 + 1. Let y(b) be the second derivative of d(b). Determine v(y(j)).\nAnswer: -9*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, p: 9}. Give prob of sequence aa.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3884 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1101 is divided by 65.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*p = -72, -4*p + 42 = -3*a + 248. Suppose -a = -j - 2*k, 3*k - k + 50 = j. What is the highest common factor of j and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -27*n. Suppose 2*i = -5*h + i + 22, 6 = 3*i. Suppose -2*d + 5 = 1. Let f = -13 - d. Let v(j) = -7*j. What is f*v(k) + h*s(k)?\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of l**3\/6 - 3*l**2\/2 + l - 37. Suppose 7*q - 32 = 3*q. Let h be i(q). Solve -h*w = 14 + 11 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 149*l**2 - 272*l**2 + 111*l**2.\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 33*y**2 + 36*y**2 + 5043 - 90*y**2 + 22*y**2 - 742 in the form l*y**2 + u + h*y and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/4 + 27\/(-6). Let p = u + 6. Factor r - 5*r - 39*r**p + 37*r**2.\nAnswer: -2*r*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) 1\/16 (c) -3321\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43 (base 7) to base 12.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 86867, 173686, 260505, 347324, 434143, 520962?\n\"Answer: 86819*x + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 - 6114*3\/(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**5\/10 - 13013*f**4\/10 - 104169*f**3\/10 + 13013*f**2\/10 + 52084*f\/5 = 0. What is f?\nAnswer: -8, -1, 0, 1, 13021","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -5*u + 24. Suppose -3*d + u + 4 = 0. What is the units digit of (d\/(-2))\/(10\/(-5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**1)**(-45)\/(n**(-2)*n)**(-5) assuming n is positive.\nAnswer: n**(-95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -313*y**2 - y + 4. Let c(t) = 940*t**2 + 4*t - 13. Let p(n) = -4*c(n) - 11*i(n). What is the second derivative of p(h) wrt h?\nAnswer: -634","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2333678a + -4?\nAnswer: 23336786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 499054.\nAnswer: 2, 19, 23, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 4\/7 of a week?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 176 - 538747?\nAnswer: -538591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -2*y, 3*y - y = 5*a. Solve a = 2*f + 2 + 6 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 239836 and 544?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 7.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2152535 to two dps.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.3 and -150108?\nAnswer: 150107.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 - 12*d**2 + 11*d**2 + d**3 + 0*d**3 + 16 - 1 + 184*d in the form j + h*d**2 + t*d + s*d**3 and give t.\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 8711, 8714, 8717, 8720, 8723, 8726?\n\"Answer: 3*f + 8708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 431.4184l to millilitres.\nAnswer: 431418.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 198784?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 + i + 1. Let j(p) be the third derivative of -p**5\/4 + 11*p**4\/24 + 2*p**3 + p**2 - 371. Calculate -2*j(w) + 22*z(w).\nAnswer: 8*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26279 and 35457538.\nAnswer: 390032918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j**3 + 420 - 420.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 18*t**2 - 182*t - 397. Is o(-45) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -10350176603 and -0.41.\nAnswer: -10350176603.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*k + 2*k**3 - 255*k**2 + 50*k**2 + 18*k - 10*k.\nAnswer: 2*k**3 - 205*k**2 + 18*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 19 + 46?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*p = 23*p + 38888. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 20*a**3 + 965*a**2 - 3891*a + 458. Determine p(-52).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 345413 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 3) in base 2?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -32 - -7?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -494120 divided by -6?\nAnswer: 247060\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1183*h**2 - 433*h**2 - 375*h**2 - 381*h**2.\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, p: 3, r: 3, l: 1}. Give prob of sequence iil.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**3 + 3*x**3 - 2*x**3 + (-x - 3*x + 3*x)*(-x**2 - 2*x + 2*x) + 13*x**3 - 32*x**3 + 6*x**3 + (3 - 3 + 1)*(2*x**3 - 4*x**3 + 4*x**3).\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-8 - (7 + -9))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-22)*h**20 assuming h is positive.\nAnswer: h**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37 - 37.1. What is the closest to z in -3\/7, 0.5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 5*w - 213 = 0, -25 = 3*w + 2*w. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1209432 and 52584?\nAnswer: 1209432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = 4*g - 6, -31*y - 3*g + 1 = -32*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 250\/180*((-2)\/(-30))\/((-83)\/747)\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -1.5, 4, 2?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 84, 145, 216, 303, 412, 549?\nAnswer: 720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7828355*j**3 + 10728919*j wrt j?\nAnswer: 46970130*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + d = 6*d. Suppose 4*p = r + 4*r - 50, d = 3*p. Solve -4*s + r = -2 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3 - 2092*o**2 + 2784*o.\nAnswer: o*(o - 696)*(3*o - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -35*l**2 + 6*l + 36. Let p(j) = 27*j**2 - 4*j - 38. What is 2*o(t) + 3*p(t)?\nAnswer: 11*t**2 - 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(2)*3)**2 + 3 - (sqrt(2) + (sqrt(1152))**2) - (3*(-3 + -1*sqrt(162)))**2).\nAnswer: 2435*sqrt(2) + 13350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -c + 16, 5*c + 2*v = 3*v + 122. Suppose 2*s = -4*j + 6 - c, -5*j + 3*s = 39. Let w = -3 - j. Solve -w*f + 14 = -1 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - y + 26, 9*l - 3*y = 4*l + 98. Let u = l + -16. Suppose 2 = -w + 4. Calculate the remainder when u is divided by w.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -5*r. Let l(t) = -224*t. What is u(l(s))?\nAnswer: 1120*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 - -21. Differentiate 21*f - 21*f - g + 7*f**2 wrt f.\nAnswer: 14*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 26.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*((p\/p**6)\/p*p)\/p*p*p**20 assuming p is positive.\nAnswer: p**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v**3 + 387*v**2 + 583*v + 1367. Give j(-192).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 122079 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - 8*q**2 + q - 6. Let z be y(8). Suppose -z*c = -5*c + 9. Let r(b) = c + 11*b - 5 + 3. Determine r(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t**3 + 6*t**3 - 9*t**3.\nAnswer: -7*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - 22*x - 954. Determine f(-9).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -11 (b) 32\/193 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/3 + 7176*g - 6535760\/3.\nAnswer: -(g - 21220)*(g - 308)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/43)*b)\/(b*b*(b**20\/b)\/b) assuming b is positive.\nAnswer: b**(-815\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 2*b - 3*b + 6, 4*u + 3*b - 92 = 0. Let c be -2 - (-82)\/u - 40\/260. Which is smaller: 7\/6 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26434.1641 - 26433. Round z to 2 decimal places.\nAnswer: 1.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -46\/82357 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, k: 2, d: 12}. Give prob of sequence kik.\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 76990 by -5.\nAnswer: -15398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 216 divide 932256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 274825*d**2 - 549632*d**2 + 274878*d**2.\nAnswer: 71*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q**2 - 4*q - 103. Calculate the remainder when i(12) is divided by 32.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0136835 to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -54, -59, -76, -111, -170?\n\"Answer: -b**3 + 2*b - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 336 + -333. Solve 6*t - 3*o - 18 = q*t, 2*t - o - 9 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 2*s - 19*s.\nAnswer: -17*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add -8.5 and -410670736638.\nAnswer: -410670736646.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 4 - -56 - (203 + -186).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 divided by -3?\nAnswer: -29\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 4 - 10 + 0 = w - 5 + 1, 0 = -10*d - 5*w for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/572 and 85\/5616?\nAnswer: 61776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 43*q - 104456 + 105875 for q.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 560637222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = r - 12. Calculate the remainder when 37 is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4707410450*k**2\/13 - 194060*k - 26 = 0.\nAnswer: -13\/48515","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17 or -2464?\nAnswer: -2464","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131073 is divided by 34.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 489578 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 163962?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 355581335 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 13 + 0 - (-22 - -2)\/5. Solve -6*p - v = -3*k - 2*p, 4*p + 16 = 4*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x**3 - 2*x**2 + 12*x + 15. Let w be v(-10). Suppose -663 + 2790 = 5*p + 4*n, n = -4*p + w. What is the hundreds digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2032701 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (4282816\/240)\/(4\/30) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 82*k - 26*k - 7 - 40*k + k**2 - 10 = 0.\nAnswer: -17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -17*c**2 - 21. Let i(n) = -2. Let s(w) = 35*i(w) - 5*l(w). Let k(u) = 7*u**2 + 3. Calculate 70*k(x) - 6*s(x).\nAnswer: -20*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -888578 (base 10) to base 15\nAnswer: -128438","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 10*i + 6. Let r(q) = 29*q + 17. Let f(v) = -8*h(v) + 3*r(v). Let j be f(2). Calculate the highest common divisor of 119 and j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 47*h**4 + 17 - h + 18 + 21 + 32 - 12 wrt h?\nAnswer: 188*h**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 - 6*d. Let p = -1 + 4. Suppose 27 = -3*q - p*g, 4*g = 3*q + 3*g + 7. What are the prime factors of x(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/3, -0.1, 20, -3.4, 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -m**3\/2 - 24*m**2 - 431*m\/2 + 1740 = 0.\nAnswer: -29, -24, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -250.62 + 0.62. Let y = 249.9999935 + w. What is y rounded to seven dps?\nAnswer: -0.0000065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -13*y + 178. Let q = 19 - y. Suppose -q*a + 171 = -5*h, 0*a + 2*h - 72 = -a. Is a a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -178 + 198. Suppose 45*o - 40*o = v. Let f(x) = -x**2 + 1. Let l be f(0). Put 5, l, o, 3 in descending order.\nAnswer: 5, o, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of 1\/120*t**6 - 3\/4*t**4 + 48*t - 17\/60*t**5 + 0 + t**3 + 2*t**2. What is k(18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**3 - 2*j**3 - 1 + 4 in the form y + u*j + d*j**2 + h*j**3 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2.2 and -107432188?\nAnswer: 107432185.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/952, 0.3, 1, -3 in increasing order.\nAnswer: -3, -1\/952, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 14. Suppose -39 = -3*l + 3*u, 4*l - 5*u = 7 + 49. Let i = l + v. Solve 2*z - i*p + 10 = 0, 0 = -4*z + p - 3 - 17 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/126)\/(482\/3374)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/10*(0 + 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17606 + -211133\/12. Find the common denominator of k and -65\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -153 divided by -9.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30272*c - 15138*c - 15134*c + c**3.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1418\/19 or -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j + 2*j. Suppose -3*b - 3*p + 1 = -4*b, -3*b - p + 7 = j. Suppose -2*a - 11 = -2*y + 1, 2*a = -5*y + b. Solve y*v - 4 = -0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4*(-2)\/6)\/(259\/(4921\/(-1558)))\nAnswer: 2\/123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16327931 is divided by 1521.\nAnswer: 1517","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -75674, -75679, -75684, -75689, -75694?\nAnswer: -75699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 26*x**2 - 34*x + 204. Does 5 divide r(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -36, 0, 2, -255, -4 in descending order.\nAnswer: 2, 0, -4, -36, -255","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (171 - 6*i + 7*i**2 - 171)*(-514 + 5*i - 19*i + 515) in the form a + o*i**3 + y*i + q*i**2 and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) - (sqrt(95) - 3*(sqrt(95) + sqrt(95)*-2)))*5)\/((sqrt(1250) + sqrt(1250) + sqrt(1250)*1)\/sqrt(10)).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/(-30) - 2\/5. Suppose -2*y - y + 15 = l. Solve y*f - 4*f = -4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -47*m**3 - 1256*m - 4757. Let i(z) = -42*z**3 - 1256*z - 4758. Let q(v) = -8*h(v) + 9*i(v). Find the first derivative of q(c) wrt c.\nAnswer: -6*c**2 - 1256","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 170136*r**3 - 4*r**2 + 2318397.\nAnswer: 510408*r**2 - 8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 47.248 + -47. Let b = m + -0.2480246. Round b to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 7*v = 4*n + n - 27, -6*n + 4*n - 4*v = 12 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 4142573910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-2\/5)*v)**20*v**(-2\/27)\/v*v*v*v\/(v*v**(-3\/2)))\/(v*v*v\/v**(-2\/23)*(v*v**(4\/7)\/v*v)\/v*v)**8 assuming v is positive.\nAnswer: v**(-24701\/8694)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/3*(-2)\/4. Let w = 0.02 + -0.42. Sort m, w, -4.\nAnswer: -4, w, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -3*s + 65. Suppose 63 + 22 = 5*t - 3*o, -5*o - 35 = -3*t. Let f be l(t). Suppose 4*h + 4*y - 276 = 0, f*y = 4*y. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8423 is divided by 8307?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x. Let u(g) = -g. Let r(v) = -v. Let y(q) = 3*r(q) - 4*u(q). Determine c(y(a)).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n + 0*n - 2*n**3 - 3*n**2 + 3*n**2 + n**3 + (3*n**2 - 5*n**2 + 0*n**2)*(-2*n + 0*n + 3*n) + (-4*n + n + n)*(n - 104399800 + 104399800 + 10868*n**2).\nAnswer: -21739*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00424366004 to 4 decimal places.\nAnswer: -0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -317975 divided by -575\nAnswer: 553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/7)\/r)**(-16)\/(r**(7\/6))**(2\/47))**45 assuming r is positive.\nAnswer: r**(202305\/329)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 94484?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 253.28028 months?\nAnswer: 21.10669","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*u - 932 - 10638. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(243) + 1*(0 + sqrt(243)))*-5)**2 - ((-1*sqrt(243) - sqrt(243))*-5 - (-5 + sqrt(243))**2*6).\nAnswer: 2070*sqrt(3) + 26133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*k - 20*k + 81 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 97.12125 weeks in nanoseconds?\nAnswer: 58738932000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -3*i + 55. Let y be r(14). Let j(f) = -f**2 + 16*f - 33. What is the smallest common multiple of j(y) and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -19429 in -4, -41, -3\/8?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 5*o = -k - 4520000, 2260000 = -2*o + 3*k. Round o to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnna when four letters picked without replacement from {a: 4, p: 6, n: 3, o: 1, l: 1}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 5*x = -4. Let b = -15 - -21. Suppose -4*y + x = k, 2*y = k - 4*k + b. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 15*j**4 - 100*j**2 + 11*j + 106*j**2 - 11*j to x + a*j**4 + b*j**2 + p*j**3 + c*j and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -10. Suppose -3*k = -5*y + 56, -3*k - 47 + 11 = -3*y. Solve -3*s + s + y = j for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 13\/4 (b) -2 (c) 2\/955\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ajua when four letters picked without replacement from uuujujuuuauauuuuujuu.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100100110111 + -111?\nAnswer: -100100111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1043824371*w**3 - 211497689*w + 2 wrt w.\nAnswer: -6262946226*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of 64 - 1\/2*z**2 + 0*z. Let c(y) = 35*y. Calculate 42*b(w) + c(w).\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75633 (base 11) to base 13.\nAnswer: 3b042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 3748?\nAnswer: 3747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - (-1)\/3)*(-114 + -69). Let t = 1463\/6 + v. Which is the nearest to 0.1? (a) 2\/9 (b) 43 (c) t (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.249462733 to 2 dps.\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**3 + 48756*w**2 - 594286884*w = 0. What is w?\nAnswer: 0, 24378","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: 6543 divided by -31\nAnswer: -6543\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 241927 divided by 2261?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - -3. Suppose -l = 2*l + 3*i - 90, -l + b*i = 0. Calculate the highest common factor of 5 and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -17*w - 8. Let t be (18\/8)\/(9\/(-24)). Let j be a(t). Suppose 9 = -5*q + j. What are the prime factors of q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 200 + 2103321230?\nAnswer: 2103322030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 64634 - 64635.52267. Let s = u + 1.403. Let k = 0.12 + s. Round k to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 297037?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175 is divided by (-4)\/8*(-3)\/(9\/264).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12*(1485\/(-60))\/11.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 218.53 + -219.41. What is the second biggest value in q, 16, 0.5, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 34*x - 28 - 40 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30142559*u**2 + 36*u - 167468.\nAnswer: -60285118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3356 - -63766\/19. Let u = -10 + 11. Which is the third biggest value? (a) 1\/4 (b) k (c) u (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102 (base 4) to base 2.\nAnswer: 10010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -18 - -2786?\nAnswer: 276b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1450*f + 79283 + 36717 = 0 for f.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 PM and 2:51 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of 2*y**3 + 16*y - 12. Find the first derivative of q(n) wrt n.\nAnswer: 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12388333 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 5*j - 48. Let d be f(11). Let r(m) = 2*m**2 + 5 - 3 - d + 6. Let i(y) = y**2. What is -3*i(b) + 2*r(b)?\nAnswer: b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -155 - -463\/3. Is c less than or equal to 0.22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 - 11*d - 10. Let a be (-32)\/12 + (-4)\/(-6). Let w(y) = -2*y - 2. What is a*r(l) + 11*w(l)?\nAnswer: -2*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/a**(-2))**5)**(-3\/13)*(a**1*a)\/a**6*(a*a**(3\/10))\/a**0 assuming a is positive.\nAnswer: a**(-951\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 13) + 46 + -39\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*p - 5*p = 12*p + 1419. Solve -2*i + 7*r - 18 = 5*r, -5*i + 2*r = p for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b (base 16) to base 10.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -374, -738, -1100, -1460?\nAnswer: -1818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168*p = -177*p - 463*p - 6136 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 7*p**2 - 3*p + 12. Let s(f) = f**2 + f + 1. Let m(i) = d(i) - 6*s(i). Suppose -6*h + 36 = -0. Determine m(h).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + 2*d**2 + 3*d - 4. Let k = -73 + 75. What is the remainder when 4 is divided by i(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 - 30. Let n = x + 39. Let s be -9 + 9 + (-3)\/(-1). Calculate the highest common divisor of s and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - 234412221?\nAnswer: -234412222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1761*u**3*v**2 - 1232*u**3 - 430*u**2*v**2 - u*v - 262*u wrt v?\nAnswer: 3522*u**3 - 860*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -31*g**3\/3 - 2*g**2 - 4. What is the second derivative of p(o) wrt o?\nAnswer: -62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 0.035 (c) 0 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -266 + 577. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90475 divided by 11.\nAnswer: -8225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**2 - a**3 - 2*a**2 - 2*a**3 + a**2 - a**2 - 2*a**3 + a**2 - a**2 + (a**2 + 0*a**2 - 3*a**2)*(a + 0 + 0) - a**3 - 2*a**3 + 2*a**3)*(-4*a + a + 13*a).\nAnswer: -80*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 96 and 342?\nAnswer: 5472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 12*j - 3*u = 68, 0 = -5*j - 4*u - 69. Which is the closest to -3? (a) -0.4 (b) 0 (c) j (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 times -0.22?\nAnswer: -5.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-74)\/(-9) - (-48)\/(-216). Suppose 6*a = a + g*a. Suppose 2*n - 72 = -a*n. What is the remainder when n is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -83 + 91. What is the highest common divisor of u and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (20\/25)\/((-2)\/(-5)). Suppose -3*j = -2*z - 28, -5*z + 3*z - 20 = -p*j. Is j a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 3*h**2 - h + 2. Let g be k(1). Suppose -g*w - w = 10. Sort 5, 1, w in increasing order.\nAnswer: w, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3731.001959 - 3731. What is w rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.5 + 0. Let q = -431 + 432. Let u(y) = y + 8. Let d be u(-8). Sort g, d, q in ascending order.\nAnswer: d, g, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 223123302?\nAnswer: 223123311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -37 - -36.65. Let x = 0.364 + t. Round x to three dps.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**38*c**26*c**(-1\/2)*c*(c\/c**32*c)\/c assuming c is positive.\nAnswer: c**(67\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 + -37. Let h = z - 20. Let g = h + 35.00000059. Round g to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 264, 270, 278, 288, 300, 314?\n\"Answer: w**2 + 3*w + 260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28772263477 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 18700 a multiple of 187?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 461711 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 6:47 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*k**2*n*t - 673*k**2*n - 1204*k**2*t + 3*k**2 + 43110*k*n - 614*n*t wrt k.\nAnswer: 16*n*t - 1346*n - 2408*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-62 - (6 - 66)) + 0 + -11.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 459*j = -1169*j - 402*j - 1578*j - 256168 for j.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - (-3 - -3) - (4 - -1). Let m be t - (5 + -5 + 5). Let d(k) = k**3 + 10*k**2 + 3. Calculate d(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2507 is divided by 749.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j - 2*j + 3*j)*(3*j + 0*j + 0*j)*(8*j - j + j).\nAnswer: -24*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -2*n + 5*i - 10, -2 = -2*n + 3*i for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.5 + -0.5. Let s = 379 + -29203\/77. Let y = s - 2\/77. Which is the third smallest value? (a) -0.4 (b) w (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = v - a - 4, -5*v + 20 = 3*a. Suppose 0 = 4*z - 8, 4*h + v*z - 13 - 7 = 0. Calculate the remainder when 10 is divided by h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -341 - 155 = -4*r - 4*v, 0 = 4*r - 5*v - 460. Solve 4*o = -2*l + 4, r = -o + 119 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14957\/12 - 1248. Find the common denominator of l and 2 + ((-333)\/60)\/(-3).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2605.\nAnswer: 5, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of 46*b**3\/3 - b**2 + 5*b - 18. Find the second derivative of y(u) wrt u.\nAnswer: 92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5798127 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: Express 2*v - 62*v**3 + 0*v + 61*v**3 + 2 - 7*v + 4*v**2 as b + u*v + j*v**3 + g*v**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -4*y**2 - 52. Let p(u) = -u**2 - 17. Determine 10*p(j) - 3*r(j).\nAnswer: 2*j**2 - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.7 - -5.3. Let l be 171\/1140*(-16)\/(-6). Sort l, 2\/3, w, 4\/9 in decreasing order.\nAnswer: w, 2\/3, 4\/9, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4990 rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3669868 and 397?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 44 + 40 = 0. Is 13 a factor of 520\/m + (1 - 0)*-1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d + 0*d = -1404. Let c = d - 155. Which is bigger: c or -1\/24?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -220 + 217.59. Let s = m - -2.409596. Round s to 5 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 71668, 143335, 215002, 286669?\n\"Answer: 71667*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3, -21, -61, -123, -207?\n\"Answer: -11*v**2 + 15*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37113 (base 10) to base 7.\nAnswer: -213126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r**2 + 4*r - 5. Let h be k(-4). Let x = 395 - 387. Let n be 3\/36*9 - (-186)\/x. Solve 5 = -l - 4*g - h, -l = -4*g - n for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-5) + 168\/210?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -82.933 - -83. Let l = 0.233 + f. Let n = -3 + 2.7. What is the biggest value in 3, l, n?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 2\/13 (c) 12.8 (d) -3\/4 (e) 44\/7 (f) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1046920 is divided by 130849?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 391447 and -55?\nAnswer: -21529585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-46)\/(-8) + 23\/92.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of 7*q + 0 + 1\/6*q**3 - q**2. Calculate h(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1355596 is divided by 451859.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 9*w - 57. Let y be s(8). Let r(m) = m**3 + m**2 + 10. Let i be r(0). What is the greatest common divisor of i and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6214805 or 6214807?\nAnswer: 6214805","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/27)\/(2\/3964). Let v = x - 220. Factor 4\/9*w**3 + v*w + 2\/3*w**2 + 0.\nAnswer: 2*w*(w + 1)*(2*w + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3853799 (b) -0.4 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6344528 - 6344528 + 4583*g + 1963*g**3 wrt g?\nAnswer: 11778*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sjsggssnssssnbgssg. Give prob of sequence bs.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 23, -2, -5, -188, 6\/5 in descending order.\nAnswer: 23, 4, 6\/5, -2, -5, -188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1799*o + 33964447 = 1888*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1057, -4381, -9921, -17677, -27649, -39837, -54241?\n\"Answer: -1108*b**2 + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 136.6 - 137. Let d = 3 - 3.2. Which is the closest to 2\/7? (a) d (b) o (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i - 6. Let g(b) = 252*b - 74. Determine g(d) - 12*n(d).\nAnswer: 276*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c. Let f = -26 - -28. Suppose -3*o = i - 0*o - f, -4*i + o + 8 = 0. Let j(q) = -q**i - 123 + 123. Calculate j(z(u)).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((1 + sqrt(1216))*-5*-2 - ((sqrt(1216) + (sqrt(1216) + 1 - sqrt(1216)) + -5 - sqrt(1216)) + 1))**2 + 2.\nAnswer: 2080*sqrt(19) + 121774","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 20*z + 28. Let r = -521 - -516. Let x(v) = -13*v - 19. Let a = -14 + 7. Let k(h) = a*x(h) + r*f(h). Differentiate k(p) with respect to p.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 9:17 AM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7 + (4 - 5)\/1. Let x(g) = g**2 - 7*g + 6. Let u be x(y). Which is the second biggest value? (a) u (b) -14 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of 0*y**6 + 1\/4*y**8 + 0*y**3 - 11\/12*y**4 + 0*y**7 + 0 - 17*y + 0*y**5 + 0*y**2. What is the third derivative of v(s) wrt s?\nAnswer: 1680*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 14 = -2*m, 2*m + 0*r = 5*r + 30. Suppose 3*j - 10 = m. What is the highest common divisor of j and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -317 - -362. Suppose -26 + g = 19*a. Solve -3*z = 4 - a for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44.8 + 406.2. Let k = -97 + y. Let l = -353.787 + k. What is l rounded to two dps?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 165 = -3*q, s - 268 = -4*s + 2*q. What are the prime factors of -24*9\/(s\/(-8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 10*f - 301. What are the prime factors of f?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of 19 + 20 + 16 - 11*t**2 + 4*t**2 + 6*t**2. Let x(h) = 4*h**2 + 18. What is f(x(q))?\nAnswer: -8*q**2 - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 - 1259.\nAnswer: -1258.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of i**9\/20160 + i**8\/2240 + i**7\/840 - i**5\/6 + 8*i**2. Let a(j) be the third derivative of q(j). Find w such that a(w) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 - 5*i - 1. Suppose -211 + 246 = -7*n. Let m(v) = 3*v**2 - 9*v - 3. Calculate n*u(z) + 2*m(z).\nAnswer: z**2 + 7*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -3*l**2 + 10*l - 11. Calculate t(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 969605, 970017, 970429, 970841, 971253?\n\"Answer: 412*q + 969193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -90, -16, 106, 276, 494, 760, 1074?\n\"Answer: 24*c**2 + 2*c - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142625.\nAnswer: 5, 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 122788004 to the power of 1\/5, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 - 17. Suppose -d + s*g - 20 = -6*d, 0 = -5*d - 4*g + 20. Solve -4*t - 16 = 2*k, -3*k - 2 = d for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3399207093?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1565525 (base 8) in base 6?\nAnswer: -13415205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 c when three letters picked without replacement from iccccccc.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/27, -0.3, 2\/21, 1284?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 + -3 - -7) + -8 - (-4 - -3 - 4).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(6\/7)*w**8)\/((w*w\/((w\/w**(2\/5))\/w))\/w*w\/w**1) assuming w is positive.\nAnswer: w**(261\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 11*m**3 + 5*m**2 - m - 5. Suppose 4*z = 28*v - 19*v + 50, -2*v + z = 11. Let i(c) = -11*c**3 - 6*c**2 + c + 6. Give v*w(y) - 5*i(y).\nAnswer: -11*y**3 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 891\/(-2430) - (-1)\/5.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24986100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {a: 3, g: 4}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1673 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 103740 to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5040 divided by 21?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of -r**5\/60 - r**2. Let w(p) be the first derivative of 19*p**2\/2 - 708. Give w(g(x)).\nAnswer: -19*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 + 2 - 4*x - 2. Suppose -4*b + 5*q + 3 = 0, -4*b - 1 = -7*b + 5*q. What is s(b)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14938?\nAnswer: 2, 7, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 plus -4057.37333?\nAnswer: -4057.30333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 10:36 PM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*b + 28*b + 3*b)*(-1 + 1 + 1)*(0*b - 2*b + 0*b)*(4*b - 6*b - b).\nAnswer: 138*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15879?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.079 times -109\nAnswer: 8.611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1239*o**3 + 939*o**3 + 291*o**3.\nAnswer: 2469*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 36867637 to the power of 1\/3, to the nearest integer?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**4\/5 + 3*h**3\/5 + 3*h**2 + 9*h\/5.\nAnswer: -3*h*(h - 3)*(h + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 6 = -j, 3*w - 2*w - 2*j + 3 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -6 - 14. Let u = i + -18. Solve u*f - 12 = 6*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 3*w = 56, 0*w - 10 = -2*l + 3*w. Suppose -l = 4*f + 1. Which is the closest to -2\/3? (a) 2\/9 (b) f (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b1b1 (base 16) to base 12\nAnswer: 223a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 942 and -29123914.\nAnswer: -29122972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s - 2*q = s - 25, 4*s = -q - 7 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-77280)\/(-4048) - (-1 - -20)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a kilometer in meters?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 6. Suppose 3*l + 3*h = 3, m*l - 25 = 3*h - 3. Solve 0 = -4*s - 0*t + l*t + 16, 3*s - 12 = 2*t for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 0*x - 24 = 4*x, -5*b - 4*x = -30. Suppose 5*j + w - b = 61, -3*j - 5*w + 49 = 0. What is the greatest common factor of 65 and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, g: 1, c: 1, h: 1, r: 1}. Give prob of picking 1 c and 1 t.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 c when two letters picked without replacement from kqfcfqkxqkkkj?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*z**4 - z**4 + 1 + 2*z**2 + 31*z - 30*z to the form i*z**2 + n*z**4 + a*z + f*z**3 + p and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 45792\/(-2120)*60\/(-54)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 322 + 243. Suppose 0 = -6*b + 7*b - s. Suppose -a + 37 = -5*f - 0*f, 5*a = f + b. What is the lowest common multiple of a and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127470.\nAnswer: 2, 3, 5, 7, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 - -32. Let w = u - 8. Let j be 2*(1 - (-8)\/(-7)). What is the nearest to 1\/4 in j, w, -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -49 + 12 + 20 + -80 + 35.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11622195 is divided by 1291354?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 72.3661243 to three decimal places.\nAnswer: 72.366","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48472.2 centuries to years.\nAnswer: 4847220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -5) + (5 - 0 - 4 - -6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/617, 3, 6809 in descending order.\nAnswer: 6809, 3, -2\/617","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in -0.5, 4\/1045, 8, -3\/10, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 3:34 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5976 - -14779. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h*l**3*u - h*u + 2*h - 229*l**3*u**2 - l**2 - 8*u**2 wrt l?\nAnswer: 12*h*u - 1374*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -53 + 51. Which is the closest to t? (a) 2 (b) 4 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 23, 252, -148 in ascending order.\nAnswer: -148, -5, -4, 23, 252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11957063 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 15887, 31784, 47687, 63596, 79511, 95432, 111359?\n\"Answer: 3*t**2 + 15888*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-15))\/(2*1\/10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162173 = 20*w - 171207. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -27*v + 323. Let u be h(12). Let w(s) = 2*s**3 - s**2 + 4*s - 2. Let i(a) = a**3 + a. Give u*w(n) + 4*i(n).\nAnswer: 2*n**3 + n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 0 + 1 - -14. Put 5, -3, 0, g in decreasing order.\nAnswer: g, 5, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of g**3\/3 - 5*g**2\/2 - 8*g + 77. Suppose -2*o - 2*f + 10 = 0, -2*f - 2*f = 4. Let a = o - -1. Give b(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of -619*g**7\/30 + 898*g**5\/15 + 7570*g**2. What is the third derivative of n(c) wrt c?\nAnswer: -103992*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 71 - -d14b22?\nAnswer: d14b93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -30 + 31?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 7 - 13)*(-1 + 0 + 3)*(1 - 1 + a).\nAnswer: -40*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 t when three letters picked without replacement from {t: 2, l: 2, f: 3, e: 9}?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1658, 1596, 1548, 1520, 1518, 1548?\nAnswer: 1616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2203*-3.\nAnswer: 6609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of t**5\/60 - 7*t**4\/12 + 47*t**3\/6 + 117*t**2. Let l be i(9). Solve -l*j = j + 6, 4*u = j + 2 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/3 - 39460*m\/3 + 13154.\nAnswer: -2*(m - 1)*(m + 19731)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -3*n**2. Let x(d) = -79053*d. Calculate x(l(m)).\nAnswer: 237159*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/340 and 63\/340.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000664403953 rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5971, 23569, 52751, 93511, 145843?\n\"Answer: -o**3 + 5798*o**2 + 211*o - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 67*z**2 + 130*z - 69. Let d(o) = 34*o**2 + 66*o - 41. What is 5*d(v) - 3*s(v)?\nAnswer: -31*v**2 - 60*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -298, -1797, -3296, -4795?\n\"Answer: -1499*h + 1201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15987890.\nAnswer: 2, 5, 1598789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04079229874 rounded to five dps?\nAnswer: 0.04079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of 7*o**4\/12 + o**3\/3 + o**2\/2 + o. Suppose -4*z + 3*v = -68, 0 = z - 2*z + 4*v + 30. Let c = 13 - z. Give s(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15 and (0 + (-3)\/(-9))\/((-1)\/(-99))?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 5:44 PM?\nAnswer: 11:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(209) + sqrt(209))*-2 + 1*(sqrt(209) - (sqrt(209)*2 + sqrt(209))))\/((sqrt(396)*-2 + sqrt(396))*-5 + sqrt(396)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3*s - 357. Let l(h) = 5*h + 360. Calculate -3*g(m) - 2*l(m).\nAnswer: -m + 351","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 + -1)*9\/3. Suppose 3*y - 6 = -w + 1, -5*w + y = -i. Let s = 6 + -8. Sort -5, s, w in decreasing order.\nAnswer: w, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/39)\/((-3192)\/5187).\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 76368109 + -76368113.00000116. Let r = 0 - 4. Let i = h - r. Round i to seven decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t + 3. Let i be w(-8). Suppose 12*q = i*q. Suppose 0 = 4*f - 12, q*f = l + 4*f + 14499988. Round l to the nearest one million.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/(-5) - 18\/10)*-2. Solve -j*z + 4*f = 24, -5*z - 4*f = -z + 16 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 707921 and 15688?\nAnswer: 5663368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/(-12)*(-72)\/3. Suppose 2*l + m = 5*l. Solve 3*p - p = -l for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) -11 (c) 0.3 (d) -0.049 (e) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2535 is divided by 59.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - 10*r**2 - 11*r + 24. Let b(a) = -46*a + 2. What is the remainder when b(-2) is divided by d(11)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37 (base 8) to base 14\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3607*x - 4647. What is the ten thousands digit of l(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of 2028*m**3 + 572*m**2 + 1685. What is the second derivative of b(k) wrt k?\nAnswer: 12168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 28*q**2 + 61*q + 26. Is 34 a factor of m(28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8.5 in -36\/11, 13, 1, 11?\nAnswer: -36\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/49)\/f)\/f*f*f*f**11 assuming f is positive.\nAnswer: f**(537\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.389259mm to nanometers.\nAnswer: 1389259","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3*o - 40. What is w(0)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 513 is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2239?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5245, 5255, 5269, 5287, 5309, 5335?\n\"Answer: 2*a**2 + 4*a + 5239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 3*z**2 + 2*z. Let n(l) be the first derivative of 0*l**2 - 2\/3*l**3 - 19 + 0*l. What is y(n(h))?\nAnswer: 12*h**4 - 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 8*m**2. Let h(q) = -124*q. Determine h(n(d)).\nAnswer: -992*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -684*d + 3. Let g(s) = -3420*s + 16. Let h(l) = -2*g(l) + 11*o(l). Is h(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -98 - -98.06. What is the biggest value in -2\/5, t, -0.5, 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 239 - 236. Solve -7 - 5 = c*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(272) + sqrt(17))*-6 + sqrt(17) + 2*sqrt(17) + 4 + sqrt(17) + -2 + sqrt(153) + -2)**2 + -2.\nAnswer: 8991","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (9\/27)\/(8\/(-6))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, l: 2, r: 1, p: 1, f: 2}. What is prob of sequence lpf?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -119.39477068 and 10.\nAnswer: -109.39477068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 PM and 1:17 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {s: 6, g: 4}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 322, -289, -1702, -4319, -8542, -14773, -23414?\n\"Answer: -67*a**3 + a**2 - 145*a + 533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 26 = -3*o, 0 = 3*s + o - 9 + 37. Suppose 5*d - 3*d + 5*a + 67 = 0, 2*a + 95 = -3*d. Let c = s - d. List the prime factors of c.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*t**4 - 26*t - 18*t**4 - 3*t wrt t?\nAnswer: -264*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22401210 + 10?\nAnswer: -22401200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -25*i**2 + 10*i - 105. Let z(y) = -24*y**2 + 5*y - 84. Let l(w) = 4*g(w) - 5*z(w). Let k(p) = -11*p**2. Give l(k(n)).\nAnswer: 2420*n**4 - 165*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -559229.4 to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4877 - -7227. Which is smaller: 2355 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-1)*(-20)\/(-6). Let z = x + 15. Solve -5*a - 15 - z = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -1. Let z be ((-3)\/3 + 4)*1. Put z, q, 1 in descending order.\nAnswer: z, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137861518.\nAnswer: 2, 131, 526189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(375\/225 - 254\/156). Put 3, -2, c, -22 in increasing order.\nAnswer: -22, -2, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1840?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4284897131 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3057874mm in centimeters?\nAnswer: 0.03057874","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -19, -32, -53, -82, -119, -164?\n\"Answer: -4*u**2 - u - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011010010011101 + -111100?\nAnswer: -1011010011011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1320038393?\nAnswer: 1320038393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35092, 70148, 105204, 140260?\nAnswer: 175316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 165 - 115. Suppose -2*a + 4*r + z = 0, -a = a - 5*r - 52. Let s = a + -6. List the prime factors of s.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2221231687.\nAnswer: 631, 863, 4079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 11 = 4*g, 3*g + 3911*x - 3908*x + 9 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 229715?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 1 - 254*j**3 + 49*j**2 + 281*j + 253*j**3.\nAnswer: -j**3 + 49*j**2 + 281*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11 + -272957335452.\nAnswer: -272957335463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -7777, -31118, -70023, -124492, -194525, -280122?\n\"Answer: -7782*n**2 + 5*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -157, -220, -327, -478?\n\"Answer: -22*o**2 + 3*o - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1274?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 1 = -n, 5*n = 4*s - 794. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 111*p**2. Let w(f) = -7*f**2. What is q(w(j))?\nAnswer: 5439*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = 5*c + 155 - 169, -3*j - 5*c - 2 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, -55, -174, -359, -616, -951?\nAnswer: -1370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.034185+1\nAnswer: 1.034185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 213024 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/40*(1\/2 + 2). Let y = 4 - 0. What is the third biggest value in l, y, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of 1\/2*b**3 + 4*b + 8 + 0*b**2 + 17\/10*b**5 - 3\/4*b**4. Find the third derivative of m(t) wrt t.\nAnswer: 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 2:48 AM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**3 - 3*h + 3*h)*(2*h - 3 + 3)*(987 - 1058 - 2530) - 2*h**4 - 3*h**4 + 3*h**4 + (-3 + 3 - 2*h**4)*(4 - 2 - 1).\nAnswer: 5198*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 PM and 2:01 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*n + 36*n = 1485. Does 9 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(3\/5)*u*u)\/u*u**(1\/6)*(u\/u**(-2))\/(u\/(u**12\/u)) assuming u is positive.\nAnswer: u**(473\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148514 = -5*w + 3748514. What is w rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/l**(-12)*l**(-3)*(((l**(2\/9)*l)\/l)\/l)**(4\/33) assuming l is positive.\nAnswer: l**(2942\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -6428 - -6420 - (2 + (3 - 1) + 1 + 51)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 649*p + p**2 - 330*p - 319*p.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/(w\/(w\/(((w\/w**7)\/w)\/w)))))\/(w*w**6))**(15\/4) assuming w is positive.\nAnswer: w**(-225\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 33\/5 of a kilometer?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1 + 2*m**2 + 2*m**2 - 2 + 2 + (-2 + 2*m + 2)*(1 + 2*m - 1) + 2*m**2 - 3*m**2 + 3*m**2 - 2*m + 2*m + 4*m**2 as f*m + p + d*m**2 and give d.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + 0*c + 4*c)*(-2*c + 2 - 2) - 26*c**2 - 2*c + 22*c**2 + 0*c.\nAnswer: -6*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.6 + -4.4. Let h = s + 5. What is the closest to -1 in -4\/3, -4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6433 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 - 10631*r + 63754. Give q(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 1 - 13. Let u be (-10)\/(1 + -3 + z). Let b = u + 21. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - 14\/(-6) - (-12)\/18. Solve -p*y + 4*y = 5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 + -22. Let d = -21 - u. Solve -2*a - d = -7*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6 - -4) + (2 - 0). Suppose 4*k + j*k = 0. Let y = 948 - 928. Solve -y = 5*c - k*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 47 = 4*n - 101, 0 = 2*n + d - 78. Is 19 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17416 - -17420. What is the nearest to 0.7 in -14, t, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00641 to four decimal places.\nAnswer: 0.0064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 854358 and 93972.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -89, -242, -367, -452, -485, -454, -347?\nAnswer: -152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -33763\/54 - -1255\/2. Let i be ((-9543)\/(-48))\/(((-695079)\/(-978))\/(-7)). Let k = 2\/11033 - i. Calculate the common denominator of k and x.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17339 divided by -2516?\nAnswer: -17339\/2516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00014074 to 6 decimal places.\nAnswer: 0.000141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 421688?\nAnswer: 2, 52711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 16640317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 5*b**3 - 2*b**2 + 2*b - 1. Let h be t(1). Suppose 9*k - h*k = -25. List the prime factors of (-2)\/k + 432\/20.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/3 (b) -1.1 (c) 0.01 (d) 0.1 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 511812 and 36558?\nAnswer: 511812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + -684?\nAnswer: -681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33 and 273.\nAnswer: 3003","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 3*k**2. Let f(b) = 1907*b**2. Calculate f(n(y)).\nAnswer: 17163*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 272 - 272.0565. Let y = t + 0.05650676. What is y rounded to seven decimal places?\nAnswer: 0.0000068","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11679 and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -3. Let q = 34 - 31. Suppose -s = 6 - 2. Let o(d) be the third derivative of -d**4\/24 - 2*d**3\/3 - 3*d**2. What is q*o(r) + s*x(r)?\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: c (base 14) to base 5\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 1 - 1)*(-g + g + g)*(0 + 2 + 5)*(-6 + 4 + 3) - 1 + 1 + 2*g + (-3 + 3 - 1)*(0*g + 2*g - 4*g) in the form m + o*g and give o.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -388 - -391. Suppose -366 = -d*r - 357. Solve r*a - 4 - 2 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/25*3835\/2301.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-4*2\/(-8))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2437 (base 9) in base 10?\nAnswer: -1816","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -91679900 rounded to the nearest one hundred thousand?\nAnswer: -91700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 70113809 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1283411 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v - 3*v + v**5 + (0*v**2 - 5*v**2 + 2*v**2)*(-4*v**3 + 4 - 4) + (1 + 240 - 9)*(2 - 2*v**5 - 2).\nAnswer: -451*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 73017 and 3843.\nAnswer: 73017","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((sqrt(336)\/sqrt(24))\/((sqrt(2) - (sqrt(2) + sqrt(8)*-6 + sqrt(2))) + sqrt(2)))**2 + -1 + -4).\nAnswer: -713\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Solve -1285*j - 33721 = 6686 - 572 for j.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1173978.2518 + -92.2518. Let x = g + -1173885.8099989. Let y = x - 0.19. What is y rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l**2 - 5*l**2 + l**2 + 7*l**2 + 4*l + 3 to the form g*l**2 + h*l + p and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -40, -36, -32, -28, -24?\n\"Answer: 4*t - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1366924*d**5*r**2 - 147*d**5 - 5*d*r**2 + 3*d*r - 2*r**2 - 3060075*r wrt d.\nAnswer: 27338480*d**3*r**2 - 2940*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 12*l**2 - l + 1. Let d be f(1). Let p(c) = 12*c - 52. Let i be p(d). Suppose -4*t - z = -104, 7*t - 3*t - i = 2*z. Is t greater than 25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -556, -557, -558, -559, -560, -561?\n\"Answer: -s - 555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 32, 2, -8, -3.\nAnswer: -8, -3, 3\/2, 2, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 2, 1.8, -0.33, 1?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -5*c + 80, -2*v + v + 13 = 4*c. Let f(z) = 2*z + 2. What is the remainder when v is divided by f(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u - 24*u = -0*u + 1271 for u.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + 3 - 4)*(-26390*p + 56017*p - 22293*p) in the form s*p + c and give s.\nAnswer: -7334","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 6*b**2 + b - 2. Let d(g) = 3*g**3 + 3*g + 2. Let x be (-5)\/1 + (5 - 1). Let j be d(x). Does 10 divide p(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y. Let a be 150\/(-24) - (-2)\/8. Let n be (-3*1)\/(9\/a). Let r(f) = n*f - 4*f + f. Calculate r(q(m)).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 64133 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -67*m**2*x + 4*m**2 - 3048*m*x wrt m?\nAnswer: -134*x + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6992, -27926, -62818, -111668, -174476, -251242?\nAnswer: -341966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of -v**3\/3 + 3*v**2\/2 + 7*v - 2. Calculate x(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 430*a - 6762. What is the remainder when 4008 is divided by h(16)?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 117\/10 + -56\/5. Which is the closest to t? (a) -1 (b) 3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g**2 - 19943700*g + 4*g**2 + 0*g**2 + 19943700*g - 5*g**3.\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/2212 and -58\/11613.\nAnswer: 46452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -1)*(-5)\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 185633287?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -966*r**3 - 822*r**3 - 1016*r**3 + 2818*r**3.\nAnswer: 14*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 + 3*x**2 - x + 10. Let p be n(-4). What is the tens digit of ((-1)\/(-6) + (-3117)\/18)*p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 3 - 15. Let b = 10 + -9. Calculate the highest common divisor of b and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/1285768 and -39\/70?\nAnswer: 45001880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t - 9. Let u be a(-7). Suppose u*n = 19 + 1. Differentiate 3 + 5 - 4 - n*i - 2 wrt i.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27586*b**2\/9 + 27584*b\/9 + 2\/9 = 0. Calculate b.\nAnswer: -1\/13793, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135 is divided by ((-466)\/(-6) - -5) + 2 + 4\/(-6)?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 + -59. Let o = z + 61. What are the prime factors of o?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -115962 divided by -251.\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/99 and -34\/30337153?\nAnswer: 273034377","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/13, 0.2, 6\/7, 1, -4\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -18518 at least -18520?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162 is divided by 66.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23.3 + -23. Sort 0.2, -0.4, j, 3 in decreasing order.\nAnswer: 3, j, 0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-5)*(g**(3\/2)*g)\/g*g*(g\/g**1)**(-27) assuming g is positive.\nAnswer: g**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -12\/5, -1, -165.249, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-1))**1)**(4\/7)\/((c**(1\/4)\/c)**(-2\/17))**12 assuming c is positive.\nAnswer: c**(10\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + w = 9, 47 = v + 4*v + 24*w + 235 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -5*k**2. Let h(x) = 69*x**2. Determine h(d(z)).\nAnswer: 1725*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 400 a factor of 2188699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -6 (b) -2\/13 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 57595 + -57204.364. Let b = -394 + j. Let f = b - -0.064. Round f to 0 decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 5*u + 4*u)*(27*u + 2692 + 9*u**4 - 2692).\nAnswer: 9*u**5 + 27*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20011 + 12?\nAnswer: 20100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a tonne in kilograms?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-15))**(-14) assuming z is positive.\nAnswer: z**210","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 93*i**2 + 22*i + 64. Is q(-6) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 16\/(-6)*(1 + 0 - 4). What is the first derivative of -36*v**4 + w + 0 + 37*v**4 wrt v?\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 118581360 and 71.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 366396 is divided by 2290?\nAnswer: 2286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -80 + 24. Is -55 bigger than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1521.91 to 0 decimal places.\nAnswer: -1522","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -12432*k - 50335. Determine c(-4).\nAnswer: -607","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (18\/15)\/(2\/(-10)). Let h(m) = -2 + 5*m - 16*m + 0 - m**2. What are the prime factors of h(g)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-8)\/(0 - 2))\/(-5)*-785. Suppose 3*r + 2*i = 1343, -3*r + 3*i + 725 = -y. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1393 + -1392.98. Which is the closest to -6? (a) -3\/5 (b) o (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 AM and 2:09 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -9614\/225941 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8.2 - 8. Let o = 8.8 - 2.8. Sort n, -1, o in descending order.\nAnswer: o, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, e: 11, y: 1}. What is prob of sequence qeye?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 415 a factor of 3928805?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 74.6 or 2?\nAnswer: 74.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -32*w**2 + 8*w + 128. Let r(q) = -q**3 + 2*q**2 - q - 2. Let v(p) = -4*r(p) - z(p). Factor v(h).\nAnswer: 4*(h - 2)*(h + 3)*(h + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 32 = a, 4*z + 0*a = 3*a + 21. Solve -5 = 4*s - z*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 36 = -5*j, -15 = j + 3*l + 5. Let w be 4 + j + 2 - -4. Suppose o = -z - 0*o, -5*z - w*o = 0. Round z to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of 2 + 0*g**2 + g - 1\/12*g**3. Factor l(c).\nAnswer: -(c - 2)*(c + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1285607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 - 10 = 6*h. Suppose -4 = h*z, -4*z = -7*l + 3*l + 440. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2787.67 to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 538?\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27 and 261333.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80\/(-32) + 602\/4?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -21171*c + 63524. Determine h(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/7 + (-16)\/(-56). Suppose -r = o*a - 41, 4*a + 5 = 2*r - 69. What are the prime factors of r?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 102 and 10220106.\nAnswer: 173741802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-735)\/(-25) + (-3)\/(-5) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17319 - 14340125\/828. Let y = t + -19307\/6624. Calculate the common denominator of y and 17\/22.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/((1 - -2)\/(-6)). Calculate the common denominator of -55\/6 and (40\/(-204))\/(u\/36).\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from hjwpwijjhipwwj?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.171 * -0.5\nAnswer: -0.0855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 2*p - 61 = 0, 0 = 7*p - 3*p - 4. Let f(x) = -x**2 - 29*x - 54. Let r be f(-27). Is (r + -101)\/(3 - 66\/s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4)\/(-1) - 768\/16*-605?\nAnswer: 2, 53, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 570\/(-50)*(13 - -2). Which is bigger: -170 or x?\nAnswer: -170","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of 230*f**2 + 1\/12*f**4 - 1\/6*f**5 + 1\/15*f**6 + 0*f**3 + 0*f + 0. Factor m(g).\nAnswer: 2*g*(g - 1)*(4*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 136 and 44?\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -68.94 - 0.08. Let d = 100.67 + -31.67. Let j = d + i. What is the third smallest value in -0.2, -1, j, 0.4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -69*v + 6*v + 370 + 386. Solve -32 + v = -n - 4*p, -3*n = -5*p + 25 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**2 + 7*c. Let r(j) = -2*j**2 - 8*j. Let d(m) = -5*r(m) - 6*z(m). What is the second derivative of d(x) wrt x?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of -x**6\/6 + 35*x**5\/4 - 415*x**4\/4 - 5035*x**3\/6 - 1805*x**2 - 351*x. Let c(g) = 0. What is g?\nAnswer: -2, -1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 2*g = -1, -5*g + 8*g = 10*m + 29 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -5 (c) 9.7 (d) -3 (e) 0.056 (f) -11 (g) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -74126a (base 12) to base 5.\nAnswer: -431424431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44 and 8723?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -3*s**3\/2 - 9327*s**2\/2 + 117375*s - 470100 = 0.\nAnswer: -3134, 5, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2 = 0, 3*f + 107 = -c + 357. What is the least common multiple of f and (-30)\/(-3)*(98\/(-5))\/(-7)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 74*l**2 + 2*l - 2. Let g = -261 + 260. Is a(g) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10a3 (base 12) to base 2\nAnswer: -11100111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 8*f**2 + 2*f - 7. Let h be s(-3). Let b be 46\/6 - 1\/(-3). Calculate the greatest common factor of h and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3052.02 - -3052. Which is the closest to -2.5? (a) -1\/4 (b) u (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 4654*c. Let q(p) = -5*p**2. Calculate z(q(b)).\nAnswer: -23270*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 + 13*k**2 + 29*k - 9. What is f(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -10, 2 in descending order.\nAnswer: 2, 1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + a - 7 = -0*a, 24 = 2*h + 4*a. Let z = h - 3. Let j = 3 + z. Solve 6 = -j*v - 0*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*2.6\nAnswer: -1.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 610 = -5*v - 0*k, 0 = 2*v + 5*k - 267. What is the highest common factor of 55 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 12)*(205 - 206).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/54 - (-22066)\/(-3186).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -4*p - 12. Let u be n(-4). Suppose 2*w + w - 66 = 0. Let i = w - u. Is 6 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) + -4*(-1*sqrt(119) + sqrt(119)))\/(1*sqrt(567)))**2.\nAnswer: 17\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 AM and 6:49 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1026 - (-6 + 3 + -1). Let g = 1905 + o. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 49*x + 49. Let o be a(-1). Solve -6*z = 6 - o for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 55666?\nAnswer: 389662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13308 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -3*w - 5*f, 7*f - 62 = -3*w + 8*f. Let k be (1\/2)\/((-3)\/438). Let y = -43 - k. Calculate the highest common divisor of y and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + l, -10*m = -7*m - 3*l - 18. What is the derivative of 53 - 5*z**m + 10*z**3 - 6*z + 5*z wrt z?\nAnswer: 15*z**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -5*(2*sqrt(612) + 2 - 2*(sqrt(612) - (0 + sqrt(612) + sqrt(612)))) + -2)**2.\nAnswer: 2400*sqrt(17) + 244900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -11*p**3 - 11*p**2 + 29*p. Let v(t) = -6*t**3 - 6*t**2 + 15*t. Determine -4*n(u) + 7*v(u).\nAnswer: 2*u**3 + 2*u**2 - 11*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0865033 rounded to four decimal places?\nAnswer: 0.0865","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 + -16. Let n be (16\/(-32))\/((-1)\/(-10)). Sort v, -3, n in decreasing order.\nAnswer: v, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3309*i + 940*i + 5380*i to u*i + y and give u.\nAnswer: 9629","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 3. Suppose 5*n - 2 = 8. Suppose -3*q = 5*m - 10, n*q = -m - 3*q + 24. Which is the nearest to m? (a) l (b) -0.5 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011000100010011001011 (base 2) in base 9?\nAnswer: -5411620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(2)*5 + -5) + -3*(sqrt(162) + 3))**2*1.\nAnswer: -504*sqrt(2) + 3564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 24766201 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 891 - 888. Suppose 18*m - 15*m = 0. Solve 5*x + 20 = -3*y, -x + 14 = -d*y - m*x for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1522687 is divided by 117020?\nAnswer: 1427","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 948\/(-8)*((-24)\/9 - -2). Find the first derivative of 47*f + 7*f - 14 - 33 - y wrt f.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103583.\nAnswer: 103583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of -14*n**6\/3 + 3*n**3 - 3. Find the third derivative of k(v) wrt v.\nAnswer: -1680*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -817*n + 707*n = -824340. What is the smallest common multiple of n and 12?\nAnswer: 14988","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 - -19.2. Let m = 1.87 + p. Let r = m - 0.07. Is -0.2 smaller than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.11 and -0.1514204.\nAnswer: 0.016656244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/28 - 74\/(-14). Let b be -2 + 0 - (z + -6). Let y = -569\/3 - -21631\/114. Is y > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 762 and 20713827.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/260 - 18\/(-117). Let t(v) be the second derivative of 0*v**3 + 0*v**2 + r*v**5 + 0 + 1\/12*v**4 - 2*v. What is the third derivative of t(l) wrt l?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -30436957 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 83634 and 565086?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -124, -15, -4, -1251 in decreasing order.\nAnswer: -4, -15, -124, -1251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 10\/25 + 1014\/15.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27 + -14. Suppose -3*q - 4*x = q - 20, 2*q - d = -5*x. Let i be -1 + -2 - (-7)\/3. Which is the closest to i? (a) 2\/7 (b) -2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q**2 - 9*q. Let n(j) = 6*j**2 - 26*j. Let s(a) = a**2 + 5*a + 4. Let l be s(0). Determine l*n(z) - 11*w(z).\nAnswer: 2*z**2 - 5*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 57050 divided by -35?\nAnswer: -1630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1104071*g - 3737 = -1104172*g for g.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - j = -32, j = -11*g + 10*g - 10. What is the fourth smallest value in 0, g, -0.1, -0.006?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(20)\/sqrt(2) - sqrt(20)\/sqrt(2)*-1)\/(sqrt(288) - 6*1*sqrt(288)) + -4)**2.\nAnswer: 8*sqrt(5)\/15 + 721\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192)\/sqrt(8))\/sqrt(12) - (sqrt(192)\/sqrt(8))\/sqrt(12).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/6 - (-80)\/24. Let g(u) = -2*u**3 + 9*u - 3. Let l(a) = a**3 - 5*a + 2. Determine j*g(z) + 5*l(z).\nAnswer: -z**3 + 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 231.3 at least 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -19, -123, -407, -961, -1875, -3239, -5143, -7677?\n\"Answer: -15*n**3 + n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i - 1. Let w(d) = -3*d - 14. Let n be w(-8). Suppose 2*z - z = n. Calculate the lowest common multiple of s(9) and z.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -234 divided by -2\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -61403*b*v**2*z**2 + 4*b*v**2*z - 2*b*v*z**2 - 8*b*v*z + 7*b*z**2 - 4*b*z - 2*v + 3*z wrt v?\nAnswer: -122806*b*z**2 + 8*b*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/12*(-36)\/(-1134)*2982?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(2\/3))**(-50)*u**3\/u**(-3))\/((u**(2\/3)\/u)**(-4\/3)*(u\/(u*u\/u**(-4\/7)))\/u**1) assuming u is positive.\nAnswer: u**(-538\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 492\/(-435) + 144\/(-2088).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 48, 92, 150, 222?\nAnswer: 308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5820\/40*12\/(-18). Is -105 > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rmim when four letters picked without replacement from {x: 2, h: 4, i: 2, r: 2, m: 3, q: 2}?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/(-5))\/(3\/6*5*-3)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30760.\nAnswer: 2, 5, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + 23*i**2 - 26*i + 1203. Let t be a(24). Solve -3 = -4*d - 5*y, -t*d + 5*y - 36 = -12 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -237*q + 318 = -243*q. Which is bigger: q or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4667050 divided by 54?\nAnswer: 2333525\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4*i + 10 = 0. Solve 0 = -i*l + 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/x**(-1\/5)*x**(-2\/5)*(x*x**(-3\/7)*x*x*x)\/(x**(-10)*x) assuming x is positive.\nAnswer: x**(468\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - -1*2\/(-1). Let k(u) = u**2 + u + 1. Let w be k(-2). Put -1, h, w in descending order.\nAnswer: w, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 41*h**2 + 4*h + 5. Let d be n(4). Suppose -d = 44*j - 45*j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -60 + 60.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-12)\/(-14))\/(52\/182). List the prime factors of s - 8 - 1*-104.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/3)\/4*54\/9. Let q be (20704\/20)\/w*-10. Suppose -3880 = -3*a - 5*c, -2*a = -10*c + 13*c - q. What is a rounded to the nearest 100?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v + 2. Let l(q) = q**2 - 3*q + 2. Let w be l(2). What is the lowest common multiple of 7 and u(w)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (123 - (-15 - (-102 + 91 + (-2 - 11)))) + 16.\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/42*(-9)\/(-6). What is the nearest to s in -0.5, -4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142.23606 months in years?\nAnswer: 11.853005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 + 5*a**2 + 3*a + 6. Let h(q) = -2*q**3 - 13*q**2 - 10*q - 17. Let i(o) = 4*h(o) + 11*n(o). What is the units digit of i(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34455020?\nAnswer: 2, 5, 1722751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4.679 (b) -1 (c) -0.04 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of -5*f**4\/24 + 3*f**3\/2 + 7*f**2. Let u(k) = 11*k - 19. Give 13*o(d) + 6*u(d).\nAnswer: d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 - 8*p + 3. Let f be j(8). Suppose 0 = f*s - 1 - 5. Suppose -7 = -5*d + 13. Solve d*z + h = 9, s*h = z + 2*z - 15 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -23*p**2 + 3*p. Let s(y) = 12*y**2 - 2*y. Let f(i) = i**3 + 21*i**2 + 108*i - 17. Let r be f(-10). Give r*u(m) + 5*s(m).\nAnswer: -9*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -6*q**3 - 26*q**2 - 39*q + 13. Calculate j(-2).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5268 + v**3 + 5256 - 5*v**2 - 4*v**2)*(0*v - 2*v**2 + 0*v).\nAnswer: -2*v**5 + 18*v**4 + 24*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 43*p - 298. Determine v(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 4*v + 13 = 0, 173*n - 171*n - 2*v - 14 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 3*f**3 + 570*f**2 + 567*f + 21. Let r(z) = 9*z**3 + 1710*z**2 + 1701*z + 70. Let s(t) = 3*r(t) - 10*y(t). Solve s(n) = 0 for n.\nAnswer: -189, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 3*s - 2*w + 151 = 0, s + 5*w - 72 = 0. What is the remainder when s is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -145, -140, 165, 920, 2275, 4380?\nAnswer: 7385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 734475\/(-735) + 4\/14. Is q bigger than -4992\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of -7*q**2\/2 - 8*q + 28. Let n be w(-2). Suppose n*i + 27 = 15*i. Solve i*t - 6*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33)\/30*4*160\/64?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 11, x: 3}. Give prob of picking 1 t and 1 x.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1518\/(-69)*5\/(-330).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -0.4, -1735, -6\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2842 - 2841.2. Which is the closest to 1\/2? (a) -1\/4 (b) y (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 5. Let q(f) = f**2 - 2*f + 3. Let s be q(t). Let p(d) = 5*d + 2. Let v(i) = 10*i - 12*i - 3*i - 1 + 4*i. Calculate s*v(l) + p(l).\nAnswer: 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8754157 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-6)\/(c*(c*c**(-3\/10))\/c)*(c**2)**(-4\/13) assuming c is positive.\nAnswer: c**(-951\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32.1884413 - 60.8115748. Let f = r - -93. What is f rounded to 6 decimal places?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of 2*a**3\/3 + 23*a**2 + 2*a - 75. What is f(-15)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of j**3\/3 - 1232*j. Let i(l) be the second derivative of 5*l**4\/3 - l**3\/3 + l. What is p(i(o))?\nAnswer: 40*o**2 - 4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50, 9, 162, 457, 942, 1665, 2674, 4017?\nAnswer: 5742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 93227.94 centuries in months?\nAnswer: 111873528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.84, 272, -1.1?\nAnswer: 0.84","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/4*(-1)\/((-48)\/66*14\/(-112))?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a decade in months?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 - 2)*(-1 - 3 + 0 + (3 - 4 + 0)*(-3 + 6 - 2))*(-m + 1 - 1)*(m - 3*m + m).\nAnswer: 15*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15322 and 376.\nAnswer: 61288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -6*a + 10*a - 35, -3*a + 28 = 2*s. Solve 5*h - 5 - a = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14449899, -28899793, -43349687?\nAnswer: -57799581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -0.2.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(720)*5*-3 - sqrt(720)) + sqrt(720))\/(-1*6*sqrt(1296)).\nAnswer: 5*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002998 to 7 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*k*w**2 + 67*k - 2212887*w**2 + 53941*w wrt w.\nAnswer: -4*k - 4425774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 52*c - 294 = 54*c, 0 = 5*s + 3*c - 528. Calculate the remainder when 912 is divided by s.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 43365930*x**2 - 8459617*x?\nAnswer: 86731860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -546 - -918. Suppose m + y = 5*z - 0*m, 4*z = m + 298. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -611 + 2108. Solve -q*s = -1492*s + 20 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38507 is divided by 166?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/629942 and 29\/3439908.\nAnswer: 306151812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -124, -7, 190, 467, 824, 1261?\n\"Answer: 40*g**2 - 3*g - 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 247*c + 11186 + 14206 - 4682 = 792*c for c.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 5 - 7 = 0, 2*p = -5*x + 38959. Let l = 3893 - x. Round l to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 0 - 0)*3. Suppose -12 = -5*w + y - 1, 4*w = -5*y + i. Suppose 25 - 5 = m. What is the least common multiple of w and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 7, d: 4}. Give prob of picking 2 d.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*q**2 - 14*q**2 - 29*q**2.\nAnswer: -23*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 610 + -604 - ((-4 - -2) + 1 - 6).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -2 + (4 - (-15 + 9 + 2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 = -2*s - s - 3*y, 3*y = -4*s + 163. Suppose -3*t + 20 = -s. Suppose -4*b = t - 295. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 6863*g + 1022596. Determine q(-149).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -5*d - 27. Let f be y(5). Calculate the remainder when 14 is divided by -2 + (-528)\/f - (-2)\/(-13).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/10)\/(((-8235)\/(-450))\/(-183))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 226 divided by -1.\nAnswer: -226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6*m - 2*m + 3*m)*(-4 + 0 + 2) + 0 + 0 - m - 15*m + 21*m - 12*m)*(1 + 10 - 3).\nAnswer: -168*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 106 + (-3744)\/39 - 15*1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -205cc (base 14) in base 6?\nAnswer: -1401024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 328, 1896, 4700, 8734, 13992, 20468, 28156?\n\"Answer: -r**3 + 624*r**2 - 297*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**10*(r*r\/(r**(-2\/29)\/r))\/r assuming r is positive.\nAnswer: r**(350\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 167*w**2 + 120*w**2 - 216*w**2 + (w + 1 - 1)*(0*w + 0*w + w) - 2*w**2 + 0*w**2 + 0*w**2 in the form m*w + r*w**2 + h and give r.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12099366.\nAnswer: 2, 3, 59, 11393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -2*(2 + (6*(sqrt(468) - (1 + sqrt(468))**2)*1 - (5 + (sqrt(468) + 1)**2 - (-4 + sqrt(468)*1))) + -1).\nAnswer: 84*sqrt(13) + 6577","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 - 14*o + 33. Let z be d(16). Let v = z + -25. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 185291 or 3149929\/17?\nAnswer: 185291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21*(-78*40\/(-2600))\/((-224)\/60).\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 1 + 4)*(1 + 1 + 0)*((-1 + 0 - 3)*(4*a - 3*a + a) + 2*a + 11*a - 2*a).\nAnswer: -12*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of -5*j**4\/12 + 53*j**3\/6 + 12*j**2 - 125*j. Let s be u(11). Solve p - 5 = 5*d + 6*p, -5*d = s*p - 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i + 3*i - 9. Suppose i*h - h + 6 = 0. Let d be (1 - -2)*4\/h. Put d, -5, 4 in descending order.\nAnswer: 4, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -40 - -20) + 33.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/((-3)\/9*6\/(-38)). Suppose 0 = 4*l - 6 - n. List the prime factors of l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3645 = 848*u - 26880 - 16115 for u.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 - 7. Let d(s) = s**3 - 14*s**2 - 13. Let q be d(c). What is the units digit of 3*4\/(-6)*q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 133658?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 386 divide 1006302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23838 - 23845 - 23842 - 17898*l + 71525 to the form n + w*l and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 3*m - 2*m + 4, 0 = 4*r - 3*m - 10. Let w = 13 - r. Calculate the remainder when 23 is divided by w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/(-4)*(-6 + 2). Find the second derivative of 0*u**2 - 3*u**3 + 0*u**2 - n*u wrt u.\nAnswer: -18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -151643, -303163, -454683, -606203, -757723?\nAnswer: -909243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-10)\/8)\/((-4)\/16). What is the greatest common factor of 20 and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.01288 litres in millilitres?\nAnswer: 60012.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27 by -915.\nAnswer: -9\/305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 588*m - 10553. What is j(18)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13482394061 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -63 (base 10) to base 15.\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/5 of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 28, -2\/11, 2.8, 1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence neg when three letters picked without replacement from ehpeehghgeehegneeehe?\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 19 + 12)*(-2*g - 2 - 28*g**2 + 44*g**2 + 55*g**2).\nAnswer: 2485*g**2 - 70*g - 70","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.023319621 to 5 decimal places.\nAnswer: -0.02332","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x - 12*x + 30 = -5*v, -22 = -3*x + 7*v for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3\/20 - 13\/20. Let v = -0.1876 + 0.2876. Which is the second biggest value? (a) 0.4 (b) 3 (c) m (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 225427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 5*k**2 + 26280*k - 12072125 = 0.\nAnswer: -5681, 425","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 3*j**2 - 8*j + 17. Give a(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19.3 + 976.6.\nAnswer: 957.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*p**2 - 10 + 0 + 11 - 46*p**2 + 1.\nAnswer: -82*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -346*b**4 - 37388*b**3 - 548840*b**2 + 1214000*b + 72000 = 0 for b.\nAnswer: -90, -20, -10\/173, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -4, -5426, -3 in ascending order.\nAnswer: -5426, -4, -3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1578 (base 13) in base 2?\nAnswer: -110001000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -765.5 + 765. Which is the second smallest value? (a) -5 (b) u (c) 2\/99\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4235126065 to the power of 1\/3, to the nearest integer?\nAnswer: 1618","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 98220000 to the nearest 1000000.\nAnswer: 98000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 5348*d**2 - 11*d - 9*d**3 - 5355*d**2 - 17 + 11*d as p + u*d**3 + x*d**2 + v*d and give u.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 26336 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 + 44. Suppose a = -2*v + 8*v. Solve -3*g = -2*f + 13, 5*f + 27 = -v*g + 3*f for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1134*a - 6162*a + 7296 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 120224.5 millimeters?\nAnswer: 120.2245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1183, 1184, 1185?\n\"Answer: o + 1182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 11*j**3 - 24*j**2 + 17. Let w(q) = -2*q**3 + 4*q**2 - 3. Give 6*u(s) + 34*w(s).\nAnswer: -2*s**3 - 8*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001711 to five dps.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 44*v - 13*v + 185*v in the form a + u*v and give u.\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -67 + 66 - 12*w - 6*w + w**2 as h*w + b*w**2 + u and give h.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -30*w + 117. Let c(i) = 7*i - 29. Let a(f) = -3*b(f) - 13*c(f). Determine a(24).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 AM and 2:37 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1807307 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -5*k - 1 + 23, 2*v - 16 = -4*k. Suppose -k*z = z - 1515. Suppose -5*q - 15 = 0, q + z = 2*t + 4*q. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -5, -3209 in decreasing order.\nAnswer: 0, -2, -5, -3209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - o = -4*y + 199987, 0 = y + 5*o - 99999. Suppose -3*r - 2*z = -299996, 2*r - 3*z + y = 3*r. Round r to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -360384 divided by -110.\nAnswer: 180192\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1957 (b) -2\/19 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -862*f + 54519. What is v(63)?\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z - z**2 - 4*z - 3*z + z**2 - z**2 + 2*z**2 + (2*z + 2 - 2)*(1 - 1 + z) + 3*z**2 - 2*z**2 + 0*z**2 - 2*z**2 + z**2 + 0*z**2.\nAnswer: 3*z**2 - 7*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1241781?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 9, x: 3}. Give prob of picking 1 e and 2 x.\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -6*f - 1. Let u(y) = y. Let z(d) = -j(d) - u(d). What is the remainder when z(2) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*c**3 + 7*c**3 + 8*c**3 - 25*c**3 + 12*c**2 + 5*c in the form n*c**3 + w*c**2 + m*c + b and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence txrp when four letters picked without replacement from {t: 1, r: 1, y: 1, x: 2, p: 4}.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-52)\/(-48) - 6\/8. Let f = 15 - 12. What is the nearest to -1 in f, -0.4, c?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 9:40 PM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = -m - 2*l, 0 = 4*l. Let p(x) = 0*x + 3*x - 2*x + m*x. Let t(a) = 5*a**2 - 9*a**2 + a**2 + 7*a**2. Give p(t(b)).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 15*y**2 - 2*y + 1. Is 7 a factor of w(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -96\/11, 0, -2\/13?\nAnswer: -96\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25009049369 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -73*q + 11133 - 105*q**3 - 11133 wrt q?\nAnswer: -630*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 4:13 AM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -253*h**3 - 19*h**2 - 15*h - 27. Let c(a) = a**3 + a - 1. Let b(d) = 6*c(d) - s(d). Let u be b(-19). What is u rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91.27381 years to centuries.\nAnswer: 0.9127381","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 76710260 and 166.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9868419?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35194684?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 65.645 to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5385 + 5388. Put -2, 3976, m, -4 in ascending order.\nAnswer: -4, -2, m, 3976","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 11216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l**3 - 2*l**2 + l. Let p be t(2). Let j = p + 26. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 140879?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**4 + 32*t**3 - 20*t**2 - 152*t - 96.\nAnswer: -4*(t - 6)*(t - 4)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*a, 152 = 4*q - a - 790. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 23.697 nanoseconds?\nAnswer: 0.023697","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.946178 to 2 dps.\nAnswer: -3.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.073, 2, -46, -0.1, -0.4 in descending order.\nAnswer: 2, -0.073, -0.1, -0.4, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.025 + 203.025. Let q = g + -202.89. What is the nearest to q in 0, -2, -4, 1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 141174?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(200))\/(sqrt(30)\/sqrt(48)) + -1.\nAnswer: -48*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5a8a743 (base 11) to base 13.\nAnswer: -22717a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.1 (b) 17 (c) 1 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -3*k**2 - 5478492*k - 2501156216172 = 0.\nAnswer: -913082","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8594*k + 1798328 - 1798328 to l + v*k and give v.\nAnswer: 8594","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/13)\/v**(-2\/7)*v**(2\/5)*v*v\/(v\/((v**(-3)\/v)\/v)))\/(((v*v**(2\/3))\/v)**(-3\/4))**(-4\/11) assuming v is positive.\nAnswer: v**(-16728\/5005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20575, 20731, 20905, 21109, 21355, 21655, 22021, 22465?\nAnswer: 22999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 33346, -1\/3, 0?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (3\/(-9))\/((-3)\/441) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -410 + 3?\nAnswer: -403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 4*m + 18 = -5*b, 0 = -7*b + 4*m - 27 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -67*f + 4*f**2 - 38 - f**3 - 31 + 52 - 30*f**2. Let a be q(-24). Which is smaller: a or 440?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 799 - 784. Solve 7*f = 10*f + r for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 2\/1769?\nAnswer: 2\/1769","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 3338536 in ascending order.\nAnswer: -4, 4, 3338536","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*n - 24*n + 111880. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 229 + 828. Let v = c - 553. What are the prime factors of v?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21070.\nAnswer: 2, 5, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 5*q - 36. Let y be t(0). Let c = y + 47. Calculate the remainder when c is divided by ((-70)\/25)\/(4\/(-10)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5254763?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -4*v - 6, 0 = -i + v + 2*v - 2. Suppose -317471*m = -317499*m + 56. Suppose 4 = 5*k - 21. Which is the nearest to i? (a) 1 (b) k (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 9) to base 13\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - (8 - (10 + -8 + -13))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/16 and 43\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -3*y**4 - 141*y**2 - 4*y - 1353. Let o(k) = 4*k**4 + 143*k**2 + 5*k + 1354. Let b(q) = 4*o(q) + 5*s(q). Differentiate b(x) wrt x.\nAnswer: 4*x**3 - 266*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25 - -27. Solve 5*b - 3 = c for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)\/sqrt(10) + -2 - sqrt(51)\/(sqrt(24)\/sqrt(8)))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 + 5*h**2 + 22*h + 93. Calculate o(-5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1666 - 102?\nAnswer: 1564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-200)\/24)\/(-5)*1\/10. Let p(d) be the second derivative of -m*d**4 + 0 + 3*d - 5\/6*d**3 + 0*d**2. Find the second derivative of p(j) wrt j.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millimeter in micrometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 30 = -2*y - 2*z, y = 5*z + 28. Let s = 58 - y. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c - 314 = -494. Calculate the remainder when 91 is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 3\/8, -4, -0.2, -5?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5759? (a) 6\/13 (b) 0.1 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 22940, 45866, 68792?\n\"Answer: 22926*u + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8417766 and 5848.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2530 + 2532. Solve 10*a - 24 = -o*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 174 = 5*u, -3*u + 36 = -2*g + 134. Let a = -101 + 97. Put g, -1, a, 0 in ascending order.\nAnswer: a, -1, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 2*j + 4. Let s(h) = -h**2 - 6*h. Calculate s(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.6044 - 0.148. What is q rounded to two decimal places?\nAnswer: -2.75","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of -u**3\/3 + 47*u**2\/2 - 13*u - 4. Is g(14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*g**2*i**4*x**3 - 18*g**2*i**2*x**2 + 4*g**2*x - 22*g*i**4 - 6*i*x**3 wrt i?\nAnswer: 120*g**2*i*x**3 - 528*g*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1055291 at least as big as 382?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d**2 + 4*d**2 - d**2)*(-42 + 2 + 8)*(1 - 2 + 0) to the form r*d + o*d**2 + s and give o.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/8*-2 + (-135)\/(-10). Suppose 0 = -s*d + 9*d - 5*t + 5, 0 = -d - 5*t + 20. Sort 0, 3, d, 9 in descending order.\nAnswer: 9, 3, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2006*(210\/28 + -7)?\nAnswer: 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 620 divide 220720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2026539 and 15760.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -27, -32, -41, -54?\n\"Answer: -2*l**2 + l - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 84 + -589\/7. Let w be 2 - (-2 + -2 - (-72)\/24). What is the closest to w in 2\/5, h, -0.5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 764942429 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 151965 or 151966?\nAnswer: 151965","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/4)\/((-7)\/308). Solve 9 + c = -4*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -92107*n**2. Let h(r) = -r. What is y(h(s))?\nAnswer: -92107*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of -k**8\/560 + k**5\/30 + k**3\/2 + 4*k. Let o(n) be the second derivative of r(n). What is the second derivative of o(j) wrt j?\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2612, 5499, 8382, 11261, 14136?\n\"Answer: -2*r**2 + 2893*r - 279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 108\/929 + -73774\/235037. What is the common denominator of -20\/143 and r?\nAnswer: 3289","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 143019 + -2854699\/20. Let q = x - 284. What is the nearest to q in 1, -3, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xuxxquuxxuuoxxuuuxxt. Give prob of sequence uou.\nAnswer: 7\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 41 + 19 = 0. Let s be ((-8)\/(-5))\/(6\/n). Suppose -s*d - 6 = 3*q, 3*d + 5*q - 4 = d. Does d = -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -63. Does 12 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 3*y + 2 + 2, 3*p - 5*y - 3 = 0. Let s(x) = x - 1. Determine s(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 - 3*i**2 + 4*i**2)*(-3 - 2*i + 3) + (-2*i - 3 + 3)*(10 + 1 + 0)*(-2*i**2 - 6*i**2 + 7*i**2) + 3*i**3 + 2*i**3 - 3*i**3.\nAnswer: 26*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 + 20*i - 111. Determine r(5).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 + 6*d**2 + 5*d + 9. Let i be q(7). Let z be 21\/(-9) - -1 - -1. Let r = 0.7 - 0.2. Which is the third biggest value? (a) z (b) r (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*o**2 + 0*o**2 - 140 + 138 + 7*o)*(-50*o**2 + 26*o - 26*o) to the form i*o**4 + n*o + h*o**3 + f*o**2 + c and give f.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 137*k - 784 = -919, -7*d - 2*k + 12 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, w: 3, t: 1, j: 3, e: 1, f: 2}. Give prob of picking 1 f and 1 n.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 5*p = 20, 4*p = 6*p - 4. Let u(n) = -4*n - 33. Let m be u(-9). Suppose -3*b - 5*k + 32 = 0, 0 = b - 0*k + m*k - 16. Solve -b*s + 6 = -j for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -404525 (base 6) in base 15?\nAnswer: -97e5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15*204\/2040*(-7)\/((-7)\/12))\/7?\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -471 (base 11) in base 4?\nAnswer: -20302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -10. Suppose -s*g + 2*p = -40, 2*g - 24 = -0*p + 3*p. Let a = 5 + -2. Calculate the highest common divisor of a and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 5*i**2 - 2*i**2 - 2*i**2 + 3*i**2. Suppose 0 = -5*p - 5*f + 135, 0*p = -2*p + f + 42. Let h(v) = 23 - p - v**2. Give h(g(k)).\nAnswer: -16*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 1737, 12, -5, -1\/6, -0.6?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 13*a - 57. Let p(k) = 6*k + 153 - 353 - 5*k + 3*k + 181. Determine -2*f(v) + 7*p(v).\nAnswer: 2*v - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/22 and -67\/10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2797, -5594, -8391, -11188, -13985?\nAnswer: -16782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-9 - (12 + -16)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5097 + -2718103.491?\nAnswer: -2718104.0007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u**3 - 7*u**2 + 3*u + 22. Let w be i(-3). Suppose 4*x = 4*k + 448, -35 = x - 5*k - 151. Suppose -w*z = -x - 61. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 93 * 189228.3\nAnswer: 17598231.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 123\/(-90) - (-232)\/(-1740)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.4 - 0.3. Let m = -1.4 - -1.47. Let d = -0.23 - m. What is the closest to 0 in d, -0.4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -115, -228, -341, -454, -567?\nAnswer: -680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = l - g, -79 = -4*g - 91 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -34.341 rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3834 is divided by 1094?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of -5*n**4 + 11*n**3\/3 + 10*n**2 + 8. Let t(y) = -7*y**3 + 4*y**2 + 7*y. Let j(c) = 4*p(c) - 11*t(c). Factor j(z).\nAnswer: -3*z*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -23, -1\/8, -4 in ascending order.\nAnswer: -23, -4, -1\/8, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 4*v - v)*(-1 + 5 - 5)*(-52*v**4 + 49*v - 49*v).\nAnswer: 52*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 19907, 39833, 59775, 79739, 99731?\n\"Answer: s**3 + 2*s**2 + 19913*s - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + 9*s**2 - s - 1. Let k be ((-4)\/(-12) - 4\/(-24))*-18. What is b(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6229437 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -93734 - -176777. Let j = w + -43. Round j to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or 20958?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 12767221 divided by -841\nAnswer: -15181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.19 + 0.07. Let z = u - -0.02. Is 2\/23 smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7940063 - 6431449769\/810. Let p = o - 1\/810. Find the common denominator of 77\/4 and p.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -2*r - 2*w + 6, 1565 = -387*r + 233*r + 5*w for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9727, -9769, -9801, -9817, -9811, -9777?\nAnswer: -9709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of -1\/27*f**3 - 11\/2*f**2 + 8 - 1\/270*f**5 - 1\/54*f**4 + 0*f. Let u(z) be the second derivative of q(z). Factor u(h).\nAnswer: -2*(h + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 5326 = -3*j, -2*i = -3*i + 7*j + 1078. Calculate the greatest common divisor of 399 and i.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 - 100987419015.\nAnswer: -100987419014.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 41 + -18. Suppose 4*m + 2*x = -3*x + z, 3*m - 2*x = 0. Suppose 8\/9*j - 2\/3*j**3 + 8\/9*j**m + 0 = 0. What is j?\nAnswer: -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -230, -1.303, -67\/6?\nAnswer: -67\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134107305?\nAnswer: 3, 5, 17, 367, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uxvvzuzuvzzvzvg. Give prob of sequence vzv.\nAnswer: 10\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 9. Solve 5*m - 16 + b = -2*d, 2*d = -2*m + 8 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -80*z**3 - 7*z**2 - 105*z + 13*z**4 - 165*z**2 - 9*z**4 + 17*z.\nAnswer: 4*z*(z - 22)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 6}. Give prob of picking 2 n.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158*c = -312*c + 164*c - 2448 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-20)*30*(34\/4 + -6)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - (-4 - -12)) + (0 - 0)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*h**3*v**3*y + 291224*h**3*v**3 + 2*h**2*y - h*v**3 + 3*h*y + 14*v**3*y - 2 wrt h?\nAnswer: -24*v**3*y + 1747344*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 518*a - 261*a - 259*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*w**4 - 3*w**4 + 0*w**4 + (-4*w + w + 5*w)*(-4*w**3 + 0*w**3 + 2*w**3) + (-2*w**4 - 2*w + 2*w)*(-5 + 3 - 5).\nAnswer: 12*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 + 5*h + 254. Determine g(19).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a*q**4 - 69*a + 291*q**4 + 3*q**2 wrt q?\nAnswer: 24*a*q + 6984*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s. Let b(w) = 6*w - 1. Calculate 3*b(x) + 15*c(x).\nAnswer: 3*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*i + 12 = 36. Let k = -1.5 - -8.5. Let x = k + -1. Which is smaller: i or x?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003205 to 6 dps.\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -12985*r - 2077604. Calculate q(-160).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - m + 2*m = -2, 5*m - 10 = -5*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*g**2 + 4566*g + 4565*g + 4562*g + 4561*g - 18254*g.\nAnswer: 7*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -26 divided by -691\nAnswer: 26\/691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 201310003210 + 21?\nAnswer: 201310003231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 4512\/5*y**2 + 30744\/5*y + 4\/5*y**4 + 232\/5*y**3 + 5292 = 0. Calculate y.\nAnswer: -21, -15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + (2 - 3) - (-11 - -5).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -287 - -282. Sort c, 2, -212 in descending order.\nAnswer: 2, c, -212","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -335011*u**2 + 114*u + 572.\nAnswer: -670022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 3*k + 385, -5 = 5*g - 0. Let h = k - -134. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-20)\/16)*(-4)\/(-8).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005131 to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 5*x**2 - 5*x - 5. Let b(a) = -9*a**2 + 9*a + 10. Let o(l) = 3*b(l) + 5*p(l). Let i(u) = 2*u**2 - u - 4. What is 3*i(h) + 2*o(h)?\nAnswer: 2*h**2 + h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96 - 252 = -39*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 703*(-275)\/1515250 - ((-11)\/(-30) - 6\/9)\nAnswer: 5\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z - 2. Suppose 4*a = -4*v - 16, 4*v - 2*a - 15 = -v. Let f be 0 + 1 + v - -22. Suppose 60 = 4*b - f. Let q(y) = 9*y + 21. Give b*u(h) + 2*q(h).\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -6*k**3 - 3294*k**2 - 13084*k - 2176. Give r(-545).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -132, -269, -406, -543?\nAnswer: -680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f = 5*f + 8. Suppose -4*m - 5*j + 27 = 0, 0*j - 2*j = f. Suppose -1574 = 3*u - 1598. What is the greatest common divisor of u and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 AM and 11:55 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2672 - -2684. Suppose -2*t = -12 - 12. What is the smallest common multiple of x and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -4*y. Let h(l) = -77 - 6*l**2 - 3*l**2 + l**2 - 2*l**2 + 75. What is k(h(a))?\nAnswer: 40*a**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c**2 - 3*c - 2. Let m be p(4). Let n = -18 + m. Solve n*t = t - 3*a - 8, -4*t - 2*a = 10 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 183 - 16*z + 171 - 2*z + 5*z - 541 + 171 + 2*z.\nAnswer: -11*z - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 + 64*k - 286. Let y be v(-70). Solve 128*b = y*b - 36 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1865540?\nAnswer: 2, 5, 37, 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 + -221201111?\nAnswer: -221201201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-2 + (19 - (5 - -3)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.9948 + -0.0052. Let z(w) = -w**2 - 2*w + 1. Let d be z(-2). Let t be ((-3)\/(-18))\/(1\/(2 - d)). Put t, 0.1, o in descending order.\nAnswer: t, 0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (288\/(-45) - -6)*5\/11\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 801 = 6*r - 815, 5*j = -5*r + 5 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 13556.313 to the nearest ten.\nAnswer: 13560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1\/116 + 2083\/580. Determine h so that 32\/5*h - r*h**2 - 18\/5*h**3 - 8\/5 = 0.\nAnswer: -2, 1\/3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -127709*y + 2. Let p(t) = -6*t - 4. Determine p(o(r)).\nAnswer: 766254*r - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2312 by -8.\nAnswer: -289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12439?\nAnswer: 7, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-30)*450\/(-630).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-10) - (-36)\/10. Let j be 316\/10 - b\/(-10). Suppose -23 = -5*h + j. List the prime factors of h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 645 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 4473248?\nAnswer: 4473244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -4*i**5\/5 + 50*i**4 - 848*i**3 + 3698*i**2 + 8632*i - 25688\/5 = 0.\nAnswer: -2, 1\/2, 13, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/2? (a) 48\/17 (b) -1 (c) 0.066 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n + 19. Determine y(11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 - (9 + -1 + (2 - 4 - 7))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11313 - -133032013?\nAnswer: 133103332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140*h + 16*h = 4992. Let y(c) be the first derivative of -c**3 - h + 0*c - 1\/5*c**5 + 3\/4*c**4 + 1\/2*c**2. Factor y(j).\nAnswer: -j*(j - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -95.6622 rounded to 1 decimal place?\nAnswer: -95.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-297)\/99)\/((-3)\/(-12)*-2*87)\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2*q**2 - 2)*(-3 + 3 + 1)*(-4 + 5 - 2)*(-2 + 0 - 2)*(15 - 18 + 16) to d*q**2 + f*q + s and give d.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1 - 0. Let z be -4*(-8)\/10 + -2. What is the nearest to -2 in 2, z, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -71*j + 1011. Let w(i) = -23*i + 336. Let m(a) = -2*r(a) + 7*w(a). Let k be m(15). Which is greater: k or 42?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*s + 90 - 89 + 30*s)*(-s**2 + s - s) in the form r + u*s + o*s**2 + h*s**3 and give h.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1641813583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 365697 to the power of 1\/3, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 950 + 317. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*3*2*sqrt(3) - ((sqrt(432) - ((-1 + sqrt(432))**2 + sqrt(432)))*4 + sqrt(432)).\nAnswer: -72*sqrt(3) + 1732","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -9\/280 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0736693513 rounded to 6 dps?\nAnswer: 0.073669","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - (-24)\/(-30) - 29\/(-5). Sort y, -3, 2, -0.5 in decreasing order.\nAnswer: y, 2, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of -q**4\/3 + 34*q + 37. Let l(a) = 226*a. Give l(f(r)).\nAnswer: -904*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 4*p = 196, 3*b = 5*p + 93 + 67. Suppose -5*o = -o - b. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 408, 407, 406?\nAnswer: 405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 s when three letters picked without replacement from ssgtsssttssssssgsg.\nAnswer: 33\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/90)\/((-4)\/6).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1457 = -30*w + 377. Let v(g) = -g**2 + 5*g - 1. Let a be v(5). Calculate the common denominator of (a\/w)\/(3\/(-258)) and -49\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9.91 + -4.91. What is the nearest to -2\/5 in 2\/13, 3.1, p?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -33270, -66542, -99820, -133116, -166442, -199810?\n\"Answer: -2*g**3 + 9*g**2 - 33285*g + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/4*(-84)\/600. Let n = f + 9\/20. Let c = -0.4 - 2.6. What is the second biggest value in n, c, 3\/2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 336, 676, 1026, 1392, 1780, 2196, 2646?\n\"Answer: f**3 - f**2 + 336*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000 + 1000100011100010011?\nAnswer: 1000100011100000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -2*i + 3983, 3*i + u = 6*i - 5958. List the prime factors of i.\nAnswer: 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**3 - 10276065*u**2 - 5279880732240*u - 5279870456180.\nAnswer: -5*(u + 1)*(u + 1027606)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -77*w + 1583. Let z(x) = 16*x - 317. What is -6*i(v) - 29*z(v)?\nAnswer: -2*v - 305","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16\/181 or -1?\nAnswer: 16\/181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + 2530?\nAnswer: 2532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 8\/3, 3\/2, 4 in increasing order.\nAnswer: 3\/2, 8\/3, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 4*t - 38 + 46, -2*t + 8 = -2*u. What is the nearest to u in -54, 5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17955000 rounded to the nearest one hundred thousand?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.6773386 rounded to 3 dps?\nAnswer: -1.677","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -4*u + 5, 701*u = 2*n + 696*u + 15. Solve 4*j + 0 = -3*h - 6, 0 = -j + n*h + 10 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3780 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 90 - (-1 + (-8)\/(-4)). Let c be b\/(-4) - (-72)\/(-96). Let l = -23 - c. Solve l = -2*r - 1 + 5 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12798*m**3*q + 2*m**3 + 618*m + 2*q wrt q?\nAnswer: -12798*m**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (((-693)\/(-21))\/(6\/(-4)*-1))\/2\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 175*k**4 - 64*k - 1.\nAnswer: 2100*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 11\/10 of a hour?\nAnswer: 3960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 100918 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, 46, 64, 86?\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32.3 - -32. What is the fourth smallest value in 5, 0.3, -1\/8, d?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/3 - 11*f**2\/3 + 10*f\/3.\nAnswer: f*(f - 10)*(f - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 5*x**2 + 0*x**2 - 3*x**2. Let y be (-2)\/((-12)\/15)*648\/60. Let h(p) = 43*p - 30*p - y*p. What is a(h(m))?\nAnswer: 392*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 2 (b) 1 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2736 and 35352?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26352 + 26470. Which is bigger: h or 0.84?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2654747\/817 or -3249?\nAnswer: -3249","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express v**3 + 0*v + 41*v**2 + 0*v**3 + 15*v**2 - 2*v as g*v**3 + n + u*v**2 + l*v and give u.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5495 - 14889 = -56*j. Calculate the lowest common multiple of j and 252.\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of r**4\/12 + 2*r**3\/3 - 4*r**2 + 4*r. Give q(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 + s**2 + 1. Let w(h) = -h**3 + 8*h**2 + 2*h + 6. Calculate 6*o(v) - w(v).\nAnswer: 7*v**3 - 2*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 186327 and 32651?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a gram in milligrams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 7*f**2 + 6*f. Give b(8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 65 - 64.6. Let w = 880 + -881.053. Let x = w + 0.053. Which is the smallest value? (a) x (b) -0.2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -5, -313418 in increasing order.\nAnswer: -313418, -5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -996463, -996480, -996499, -996520?\nAnswer: -996543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -7*c - 7. Let i be (c\/(-9))\/((-4)\/18). Is (-6)\/4*1574\/i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2*g - 3*w - 28159997 = 0, -2*g - 5*w = -56320005. Suppose -4*t + g = 7*t. Round t to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -15*i**3 + 112*i**2 - 5. Let c(n) = -16*n**3 + 113*n**2 - 6. What is -5*c(z) + 6*t(z)?\nAnswer: -10*z**3 + 107*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7634?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -12*u**2 - 429*u + 53541. What is j(-87)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 PM and 3:17 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/7 in -2, -6, 9\/10, 0, 1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqkqkkikkkq. What is prob of picking 1 q and 2 k?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -4*d - d - 15, 0 = d + 1. What is the closest to t in 2\/11, -5, 2\/47, 8?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3555 (base 7) in base 2?\nAnswer: -10100100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -77.742299 to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -6*l + 17. Give r(-5).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/247? (a) 13 (b) 0.4 (c) 0.61\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*d - d - 3*d)*(76*d + 2 - 38*d - 52*d).\nAnswer: -56*d**2 + 8*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d + 6. Let l be o(1). Suppose -l*i + 0 + 5 = 0. Which is smaller: -2\/55 or i?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 3*b**2)*(-6 + 3 + 2) + 4*b**2 + 2*b**2 - 2*b**2.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.251 - -0.151. Which is the biggest value? (a) 0.2 (b) -0.2 (c) 1\/7 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 6 = -2*n, -2 = 2*a + n - 2*n for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 64165?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d**4 + d**4 - 10214*d + d**3 + 1 + 10216*d + 62*d**2 to y*d**2 + c*d**4 + o*d**3 + t + i*d and give y.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2407*k + 10763 = -81456 - 35352 for k.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-271195)\/(-488151)*(-3)\/(15\/2)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 0 - 6 + 0*y**3 + y**3.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 87*z + 7166 - 14341 + 7170. Let t(r) = -43*r + 2. Calculate -2*l(m) - 5*t(m).\nAnswer: 41*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -34 - 23676?\nAnswer: -236aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.24 - -0.24. Which is the nearest to g? (a) -3 (b) 2\/7 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -38.03 + 0.03. Let u = y - -33.7. Let b = u + -2.2. What is b rounded to 0 decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 572213?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3635, -14442, -32461, -57698, -90159, -129850, -176777, -230946?\n\"Answer: -j**3 - 3600*j**2 - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -147, -59, -6, 0, -5, -2 in descending order.\nAnswer: 0, -2, -5, -6, -59, -147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1154896 divided by -131\nAnswer: -8816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 13*p + 186. Let k(g) = g. What is i(k(u))?\nAnswer: 13*u + 186","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 4 = -4*a + 20, -2*q = 4*a - 24. Is a even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 102909701?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d + 5*d = -5*u + 5, 0 = -3*u - 5*d + 35. Solve 0 = -5*q - 2*k + u*k + 3, -1 = 3*q + k for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3 - 227*s**2 + 2*s**4 + 213*s**2 + s**4 + 34*s wrt s?\nAnswer: 36*s**2 - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 115980\/514178*(-28)\/(-10).\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 143 and 428\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 37, 1, 983 in descending order.\nAnswer: 983, 37, 20, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -32c (base 15) in base 9?\nAnswer: -876","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1923124*-0.05\nAnswer: 96156.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddcndqddbuduuc. What is prob of sequence uqdd?\nAnswer: 1\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 6. Let x = -184 + 187. Suppose 2*k + 2 = -5*p, p - 8 + 4 = 4*k. Solve p = -a - c + x for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away 55289084?\nAnswer: -55289088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.061 less than or equal to -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 AM and 10:38 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 AM and 6:12 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 381064 divided by -19?\nAnswer: -20056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y**5 + 8*y - 8*y + (y**4 + y**4 + 0*y**4)*(-y - 2*y + 4*y).\nAnswer: -y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -5*t - 4*r + 7, 0 = -4*t + 3*r + 18. Suppose -t*w - 6 = -i, 5*w + 43 = 4*i - 2. What is the greatest common divisor of 60 and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3\/5 + 310388*n**2\/5 + 1206459612*n + 426729927996\/5.\nAnswer: 4*(n + 71)*(n + 38763)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 180*b**3*y**2 + 155*b**3 + 3*b**2*y - 3*b*y**5 + 3*b*y**3 wrt y?\nAnswer: 360*b**3 - 60*b*y**3 + 18*b*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*q**2 - 29*q**2 + 5*q**2.\nAnswer: -33*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 2*l - 112, 4*l - 82 - 114 = -5*j. Suppose z = -z + l. Calculate the remainder when z is divided by -6 + (-596)\/(-30) - (-4)\/30.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -18*i. Let n(a) = -1 + 25*a - 72*a + 22*a. Determine l(n(v)).\nAnswer: 450*v + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2343 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -4*s**3 + 5*s**3 + 0*s**3 - s + s**2. Let l(p) = -p + 2. Let u be l(2). Suppose a - 1 + 3 = u. What is m(a)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.23998 or 68.75?\nAnswer: 68.75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -922.9530956 to the nearest ten.\nAnswer: -920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h + 14. Let p be d(-7). Let t(s) = -s**3 - s**2 - s + 2. Let w be t(p). Which is the closest to 0? (a) 0 (b) w (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + 1)*(-1)\/((-1)\/7). Suppose -4 - g = -6*a. Factor 10*d**3 + 10*d**4 + a*d**2 - 4*d - 6 - 7*d**4 - 5*d - d**3.\nAnswer: 3*(d - 1)*(d + 1)**2*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 12:59 PM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -3. Suppose 3*g + 5*o + 3 = -14, 2*g = j*o + 14. What is the least common multiple of 7 + (g - -2) + -2 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 6*i - 1 + 0)*(-9*i**4 + 30*i**4 + 23*i**4).\nAnswer: -264*i**5 - 308*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 735667.71 rounded to the nearest one thousand?\nAnswer: 736000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 5*f + 101 + 238, 3*d - 2*f = 1102. Let a(t) = -d + 362 - t**2 - 3*t + 2*t. Determine a(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**5\/3 + 468*c**4 - 8202*c**3 - 115208*c**2\/3 - 40264*c = 0 for c.\nAnswer: -719, -2, 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of -s**4\/4 - 2*s**3 + s**2\/2 - 8*s - 12. Calculate the remainder when q(-7) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2520 - 0.11861\nAnswer: 2519.88139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17404\/(-3206) - (-12)\/(-15)*(-15)\/2.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*h + 3*h + 2*h)*(3*h + 4*h - 4*h) - 6*h**2 - 9*h**2 - 3*h**2 as v*h + w + z*h**2 and give z.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-31)\/8 + 4 + 20\/(-40). What is the fourth smallest value in 1\/7, 7, j, -54?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 AM and 1:53 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-186)\/36)\/(-31))\/(4\/(-6))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from eeehhhuahueiuv?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q + 11. Let h be n(4). Let f(o) = -3*o + 5 + h - 7. Suppose -4*l = -6 + 14. Determine f(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11.09 times -82\nAnswer: -909.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 29, 46, 67, 92, 121?\nAnswer: 154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 2:32 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 6) to base 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 90 + -182. Let d = u - -94. Suppose 70 = d*f + 2*p, 8*f - 3*f + 4*p - 176 = 0. Is f a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 172675 = -f + 172744, 4*m - f = -69 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*1*(-5 - -7). Let a = 4 - n. Suppose a = -v - v + 46. Is 13 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + (2 - -1) - 1 - -3) + -296 + 259?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000587812 rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12223 + 85460. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 - j + 6 + 7*j - j. Suppose -18 = 3*o - 6. Determine x(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 615269778?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - 12*h**2 - 11*h + 37. What is o(-11)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, v: 1, e: 1, t: 4, a: 1}. Give prob of sequence ve.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - 15)*2*54\/(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 283 a factor of 4206710507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 101785?\nAnswer: 101784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 85*r + r**3 + 54*r - 16488*r**2 + 16478*r**2 in the form z*r**2 + h*r + n*r**3 + c and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -32*l**2 + 9*l - 3. Give h(2).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 80 divided by 4\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 - (0 + (-2 - -1)). Suppose 2*s + n*x - 5 = 3, -4*x = 4*s. Sort s, -0.04, 2 in decreasing order.\nAnswer: 2, -0.04, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = 5*f - 82. Let a be 9\/(1 + (-24)\/f). Suppose -l + 40 = -a. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of 2*y**7\/21 - 4*y**6\/15 - y**5\/5 + 2*y**4\/3 - y + 71. Factor o(p).\nAnswer: 4*p**2*(p - 2)*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3 (b) -0.0428 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 46870 and 86195.\nAnswer: 807991930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 12) in base 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1509 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2200 and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*k**2 + 170 + 2*k**2 - 3*k**4 - 4*k**2 + 1182*k**3 + k**4 - 1185*k**3 in the form a*k**2 + y + o*k**3 + i*k**4 + c*k and give y.\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -24983284.49 to the nearest one thousand.\nAnswer: -24983000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7084881 a multiple of 477?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 48*x**2 - 2*x + 1. Determine c(1).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d - 13 = 9*n - 28 - 15, 5*n + 55 - 65 = 2*d for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13323 or -13317?\nAnswer: -13323","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7890841 to the power of 1\/3, to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1738890 or 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -4*x**3 - 28*x**2 + 36*x - 21. Let z(l) = l**3 + 7*l**2 - 9*l + 5. Let h(s) = -2*q(s) - 9*z(s). What is the tens digit of h(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 5:17 AM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19114879*z**3 - 239210068.\nAnswer: 57344637*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 88827290077 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1552 greater than 82302\/53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11693 and -127.8.\nAnswer: 1494365.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, -234, -6989, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/13, 2, 1\/2, 9\/871?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 - 2*f**2 - f - 1. Let r(g) = -25*g**4 + 4*g**3 + 156*g**2 - 4*g - 4. Let l(q) = -3*r(q) + 12*t(q). What is the third derivative of l(i) wrt i?\nAnswer: 1800*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 247 - -791. List the prime factors of f.\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -53*c**2 - 11*c - 482. Let h(r) = -17*r**2 - 4*r - 161. Suppose 0 = -3*p + 15 - 3. Let n(q) = p*g(q) - 11*h(q). What is the derivative of n(f) wrt f?\nAnswer: -50*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -163\/30282 and -121\/1374?\nAnswer: 6934578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 1023 = 3*h, 3*h + h - 1364 = -5*x. What is the highest common divisor of h and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + v - 7 = 3*y, -4*v + 22 = 2*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 329.51251 to the nearest ten.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (15\/25)\/((-2)\/(-10)). Let j = w + 11. Which is the smallest value? (a) -4 (b) j (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 - 15. Let w be (0 - 8)*(-5)\/10. Suppose w*r = -i + 23 + 16, 5*i - 2*r = 195. What is the remainder when i is divided by g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.27495 rounded to 1 dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -3*a + 2*a + 2, -4*a = 2*x + 16. Let m(v) = -v. Let c be m(a). Suppose -2*k = 2*k - 12. Which is bigger: k or c?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 2*r - 9. Let k(i) = -i**3 - 6*i**2 + 2*i + 12. Let w be (2 + 4)\/(-1 - 0). Let g be k(w). Solve g*a = -r*x + a - 6, 27 = -4*x - 5*a for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 + 2*x**3 + (-1 + 5 - 2)*(0*x**3 + x**3 + x**3) + x**3 + 92*x**3 + 200*x**3 to the form b + j*x + v*x**2 + c*x**3 and give c.\nAnswer: 299","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*k**2*v**3*z + 16*k**2*v**2 - 2*k**2*v*z + 142*k*v**3*z + k*v**3 + 3*k*v**2*z - 4*v**2 wrt v?\nAnswer: -18*k**2*z + 852*k*z + 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13410 (base 6) to base 5.\nAnswer: -31334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 435 is divided by 173.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add 10386 and 950556.952.\nAnswer: 960942.952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 10) in base 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 91 + 35)*(2*z**2 - 3*z**2 + 0*z**2).\nAnswer: 60*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 126114970, 126114966, 126114960, 126114952, 126114942, 126114930, 126114916?\nAnswer: 126114900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 122 = -338. What is the common denominator of i\/161 - (-2)\/((-168)\/34) and 41\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**5\/7 - 249210*b**4\/7 + 6478534*b**3\/7 - 53071798*b**2\/7 + 142519344*b\/7 - 17227496 = 0. What is b?\nAnswer: 2, 11, 124579","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*b + 44*b = 270. Calculate the remainder when b is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 36 - 14 = -2*a, -5*k = a - 24. Suppose -3*g = -4 - k. Sort 0, 5, g.\nAnswer: 0, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -913 divided by -11\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -5*q + 15. Suppose -3*w - 2 = -q*x - 2*x, 6 = w + 5*x. Let c(z) = -z**2 + 1. Let r(l) = -3*l**2 + 4. Determine w*r(v) - 4*c(v).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -82*z. Let f = -17857 - -17857. Let x(l) be the third derivative of 0*l**4 + f*l**3 - 12*l**2 - 1\/30*l**5 + 0*l + 0. Give x(a(w)).\nAnswer: -13448*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1854, 3708, 5562?\nAnswer: 7416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17 in 3\/5, 0.1, -1, -0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + 6*m + 14. Determine j(-5).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2458 = -n - 379. Suppose -13552 = -11*f - n. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/5? (a) -1\/10 (b) -69 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((0\/1)\/(-2))\/(-1). Let d be a*(2 - (-14)\/(-6)). Solve 4*k + 3 + 1 = d for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((9 - -168)\/59)\/(6\/(-98)).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5601 - 3214. Is 77 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56)\/35 - (-1 + -1)*1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/(-15) + 4\/(-12) + 3. Suppose d*k = 4*q + 6*k + 19, 18 = -3*q - 3*k. What is the biggest value in -3, -0.8, -4, q?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 375, 688, 963, 1182, 1327, 1380, 1323, 1138?\n\"Answer: -3*j**3 - j**2 + 337*j + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2821 + -1020. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = x + 9, 0 = -5*f - 0*f - 3*x - 5. Let n be (-442)\/6 - -1 - (-150)\/(-450). Put f, n, -5 in decreasing order.\nAnswer: f, -5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 - h**2 + 6*h - 9. Calculate f(4).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 157.6326 millimeters in micrometers?\nAnswer: 157632.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -161*r - 3. Let t be b(1). Suppose 13*m + 549 - 3903 = 0. Let q = t + m. List the prime factors of q.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 AM and 3:36 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.39 (b) 7.5 (c) -9810\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - 8 - (2 + -6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*i = -92*i + 425. What is the least common multiple of 170 and i?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 215186222 to the nearest integer?\nAnswer: 599","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 21 = -3*i + 4*i, 0 = -3*o - 15. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 - 13*t - 36. Let v be l(-5). Suppose 4*c = 0, -v*c + 1 = -4*q + 17. Suppose -q*a + 454 + 174 = 0. What are the prime factors of a?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -300273881, -600547760, -900821639, -1201095518, -1501369397, -1801643276?\n\"Answer: -300273879*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 241*m - 93 + 92 + 318*m + (-6 + 5 + 0)*(-2*m - 2 + 2) + 2*m - 6*m + 3*m as s + j*m and give j.\nAnswer: 560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000096029 rounded to 6 dps?\nAnswer: -0.000096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -55101682140 - 2?\nAnswer: -55101682142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.087916 millilitres in litres?\nAnswer: 0.005087916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 247 (c) 0.2 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 69 - ((25 - 21) + 52)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*o - 31*o - 24 = 0. Solve -2*h = 4*x + 12, o*h + 0*x = -4*x - 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4538990, 4538940, 4538870, 4538786, 4538694, 4538600, 4538510?\nAnswer: 4538430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.5 and -3458943.83?\nAnswer: 3458944.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w - 5. Let z be o(5). Let g(h) = h**2 + 9*h - 10. Let i be g(z). Suppose -5*c + 0*b + 1 = b, b = -4*c. Put c, i, -1 in descending order.\nAnswer: c, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 4*r**2 - 2*r - 1. Let a be q(2). Suppose 2*m + 3*m = 5. Differentiate -m - a*j + j + 3 with respect to j.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*v**4 + 7*v**4 - v**4 + 122*v**4 + 98*v**4 - 448*v**4 + (v - 4*v + 4*v)*(-3*v**3 + 4*v**3 + v**3) as i*v**3 + o*v**2 + z + g*v + p*v**4 and give p.\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - (0 - 1)*6. Let f be 8\/6 + 14\/21. Suppose i*q = f*q + 32. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5635\/350*(-18)\/63.\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*t - 2*t + 2*t - t)*(4921 - 4921 + 2303*t**2) to y*t + p + g*t**2 + n*t**3 and give n.\nAnswer: 9212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -27*j + 19*j. Let s be (-2)\/6 - (-4)\/3. Are j and s nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60)\/150*5*1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/15822 and 151\/108?\nAnswer: 31644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -241, -255, -283, -331, -405?\n\"Answer: -o**3 - o**2 - 4*o - 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -134611646*k**5 - 10190*k**2 + 6*k + 237 wrt k.\nAnswer: -8076698760*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30 - -30. Let l(y) = y**3 - 2*y**2 - y + 11. List the prime factors of l(s).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 5 (b) 8 (c) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22052258 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.89 + -0.9857464\nAnswer: -0.0957464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 not equal to 477202?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - v + 12 = 0. Suppose 4*n - 170 = 2*y, -4*n + 107 = 847*y - 842*y. Calculate the smallest common multiple of n and v.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 - 5*q**4 + 8*q + 66*q**3 - 6*q - 71*q**3 - 6*q**2 + 3*q**4 to the form c*q**4 + p + u*q + t*q**2 + r*q**3 and give p.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 199*n + 4252 - 1466 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oub when three letters picked without replacement from jujbjqjoj.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-11)\/(22\/4))\/(-1). Suppose -4 = 2*q - r*m - 20, -24 = -2*q + 4*m. Suppose h - q*c = 200, -5*c = 4*h - 60 - 740. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of 109*f - 20*f**2 + 1\/6*f**3 + 5\/3*f**4 + 0. Differentiate r(d) wrt d.\nAnswer: 40*d + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -3*c - 4. Suppose 0 = 9*j - 2*j - 210. Suppose 2*b + j = 8*b. What is h(b)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of 0 + 0*f**3 + 5*f**2 + 0*f**4 + 2\/15*f**5 + 0*f. Let c(s) = 2*s. What is c(k(j))?\nAnswer: 16*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15699 + 1342*a + 15699.\nAnswer: 1342*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 k when three letters picked without replacement from {k: 4, n: 4, s: 10, e: 1}?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3484 - -3484.00000439. What is f rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-4 + 3 - 2) - -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 23 - 2\/1 - 1. Let g be (-6)\/(-6) + (-1 - -14). Suppose 5*u - g = 1. Solve 0 = 7*q - u*q - t for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 f when four letters picked without replacement from kfecdak.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4 + sqrt(45)*1 - sqrt(45)) + -2 - (-1 + sqrt(5) + -3 + (sqrt(405) - (sqrt(405) + 2 + sqrt(405)))))**2 + 5)*-5.\nAnswer: -1625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/135 and -143\/60?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5 - (((-12)\/4 - 1) + 7). Let o(r) be the first derivative of 2 + 0*r**b + 4*r + 1\/3*r**3. What is the first derivative of o(x) wrt x?\nAnswer: 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) - (6*2*sqrt(204) + sqrt(204)) - (2*sqrt(204) + sqrt(204))*-2)\/(5*(sqrt(300) + 1*sqrt(300))).\nAnswer: -3*sqrt(17)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 54.3 times 13\nAnswer: 705.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21093892?\nAnswer: 2, 157, 33589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w + 5*w = 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 26\nAnswer: 10.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3035031.7697 - 2.\nAnswer: -3035033.7697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 10:44 PM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*x + 4*a - 11 = -34*x, 2*a - 8 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2724 and 300?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1231953 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 465\/(-65) - (-9 - 1 - -3)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -678*g + 1377*g + 14*g**2 - 2 - 699*g - 172*g**3 as p + k*g + y*g**2 + d*g**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-207)\/(-30) - 4 - 1\/(-10)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -15*a + 2. Let w(c) = 15*c - 3. Calculate 5*n(b) + 4*w(b).\nAnswer: -15*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*q + 65 = 47. Let x(d) = 1. Let z(u) = -8*u - 4. Determine q*z(m) - 3*x(m).\nAnswer: 8*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2161715?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -199*m**5 - 4*m**4 - 357*m**2 wrt m?\nAnswer: -11940*m**2 - 96*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q - 8. Calculate l(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 8:08 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 4*m = 15, -5*m - 39 - 1 = -3*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6834 - 1b?\nAnswer: -6850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 7:34 PM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1161504 and 468?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3*j**3 - 5*j**2 + 67*j - 73. What is the units digit of c(16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4527.68 and -1.\nAnswer: 4527.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -83\/4 - -257\/12. Let n be (3 - 1)\/(9 + -3). Which is the closest to n? (a) 1\/6 (b) v (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of 1\/4*y**3 + 1\/8*y**6 - 1\/4*y**2 + 3\/16*y**4 - 7\/20*y**5 + 0*y + 1. Factor d(x).\nAnswer: x*(x - 1)**3*(3*x + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-30)\/(-45)*99\/22. Let h(q) = -95*q + 35. Let t(b) = -8*b + 3. Give n*h(c) - 35*t(c).\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1466113459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + 9*x**2 - 4*x - 2. Let v be n(7). Suppose 0 = 5*r - 47 - v. What are the prime factors of r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 179*z**3 - 162.\nAnswer: 537*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -30*l**3 + 4*l**2 + 6*l - 6. Let t(p) = -3*p**3 + p**2 + p. What is 4*t(j) - v(j)?\nAnswer: 18*j**3 - 2*j + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11456\/(-5012) - 55\/(-21)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/4)\/((-41)\/(-35688860)). Round k to the nearest 1000.\nAnswer: -435000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 25388, 52095, 78802, 105509?\n\"Answer: 26707*g - 1319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143 is divided by ((-2)\/10)\/((-54)\/5670).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -188 + 222. Let k = 36 - m. Which is the third smallest value? (a) 49 (b) k (c) -5 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p**3 + 4172335689*p - 4172335689*p - 24*p**3.\nAnswer: -29*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + (-13 - -16 - (-23 + -3))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1328 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w + 3*a + 20 = -11*w, w + 4 = -5*a for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + 0. Suppose -2*l + y*h + 372 = 0, -6*l + 5*h + 368 = -4*l. What is l rounded to the nearest ten?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1076 = 17*s - 811. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fourty-one halves of a microgram?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 206053470 and 10793277.\nAnswer: 2266588170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, s: 1, o: 1, j: 1, c: 1, q: 2}. Give prob of picking 1 o and 1 j.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*u - 200 + 51398 = 0. Calculate the greatest common divisor of u and 189.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1865670529.9927 - -1865566527. Let b = 103996 + g. Let u = 7 + b. What is u rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -23799 + -5?\nAnswer: -237a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1200\/(-624)*134\/(-1675)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r + 2523 + 4*r + 8*r + 0*r.\nAnswer: 16*r + 2523","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-8)*1\/3.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 469799 is divided by 50.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 28*f**2*v + f**2 - 102*f - 4*v - 2881 wrt f?\nAnswer: 56*f*v + 2*f - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 22*r**2 + 99*r + 78. Calculate the remainder when u(17) is divided by 55.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31836309 >= 31836307?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -61 + 88. Let n(y) = -18*y - 3. Calculate the remainder when n(-3) is divided by j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1492012246?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*w**3 - w**3 + 3*w**3)*(w + 0*w - 3*w)*(-w + 4*w - 2*w) + (-1 + 1 + w**4)*(-5*w - 32 + 32).\nAnswer: 3*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b - 2*y - 8, 0 = 3*b - 0*y + 5*y + 7 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 12, 105, 22 in decreasing order.\nAnswer: 105, 22, 12, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**4\/11 - 61436*g**3\/11 - 471736322*g**2\/11 + 943656960*g\/11 - 471859200\/11 = 0. What is g?\nAnswer: -15360, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 27 = -3. Let w = m - 4. Let p = 25 + -17. Solve w = 2*v - b - 10, -v - p - 9 = 5*b for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from iqqqqqiiiqqiqq?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, a: 2, t: 1}. Give prob of sequence tq.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of v**2*x**2 - 14115*v**2*x + 1072*v**2 + 13*v + 6 wrt x?\nAnswer: 2*v**2*x - 14115*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/6 - -4) + (-235)\/10 + 8\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.02 and 2020.\nAnswer: 2019.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 157? (a) -5 (b) -1 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/30*(-30)\/69?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of -29*j**4\/12 + 39*j**3\/2 - 19*j**2. What is the derivative of h(d) wrt d?\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-100)\/(-3) - 0)*37479. Round n to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b**5 + 93184*b**2*g - 4*b*g - 34*b + 85*g wrt b?\nAnswer: -20*b**3 + 186368*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1644 and 32332.\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 805 is divided by 789?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-5)\/f)**22\/(f*f*f**23*f*f**(5\/3)*f) assuming f is positive.\nAnswer: f**(-482\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 - 3)*(-2)\/(-2). Suppose -4*z = -3*f + x, 5*z + 4*f - 15 = 7. Which is the nearest to z? (a) -2 (b) 2 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1232, 2\/3, -13, -5, -5\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 PM and 11:52 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/1055768 and -39\/1885300.\nAnswer: 26394200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 2402892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 2. Suppose -5*j + 175 = -0*j. Suppose -2*b - j = -7*b. Do i and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1870332 is divided by 143869?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66, -100, -132, -162, -190, -216, -240?\nAnswer: -262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 63389, 63395, 63401, 63407, 63413?\n\"Answer: 6*p + 63383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -183*n + 165. Let b be a(5). Let s = -748 - b. Let f = 0 - 0. Solve 3*p - 8 + s = f for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1440 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -3*m**3 - 4*m**2 + 4*m - 5. Let w(b) = -7*b**3 - 9*b**2 + 9*b - 10. Give 5*f(z) - 2*w(z).\nAnswer: -z**3 - 2*z**2 + 2*z - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1101 - 501. Does 30 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate h**2*i*r*s + 2*h**2*i*s - 254933*h**2*r + h**2 + h*i*s + 3*h*r*s + 50*h - 3*i*s + 28 with respect to r.\nAnswer: h**2*i*s - 254933*h**2 + 3*h*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3 - 4395087*r**2 + 4829199631935*r - 4829195236849.\nAnswer: (r - 2197543)**2*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 0*s - 1 - 5*s - 4*s - 5*s. Is f(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((1*sqrt(80))**2 - (sqrt(5) + sqrt(5)*-1)*5).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -66, -37, 3, 0, 1 in descending order.\nAnswer: 3, 1, 0, -37, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 3*l - 1 = 0, -l = -3*x + l + 9. Suppose -x*m - 15 = 0, n = 4*m + 5 + 13. Calculate the remainder when n is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -20, 3\/5?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 230, 457, 684, 911, 1138?\nAnswer: 1365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -71496, -143846, -216196, -288546, -360896, -433246?\n\"Answer: -72350*a + 854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1319)\/1320 - 4*26\/(-104). Let i(l) be the third derivative of n*l**6 - 11*l**2 - 1\/88*l**4 + 0 + 0*l**3 + 1\/330*l**5 + 0*l. Solve i(q) = 0 for q.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (11199997 - 0) + -16 + 19. Round z to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrr. What is prob of sequence rrrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -78, -325, -738, -1317, -2062, -2973, -4050?\nAnswer: -5293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 62 - 6510030?\nAnswer: -6506635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2776332 divided by -224\nAnswer: -694083\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -592.5 + 357. Let v = p + 224. Round v to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + -3 - -2) + 5 + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 6*y - y + 0*y + 3. Let v be w(4). Solve -4*m - 3*t - 27 = 0, v = -3*m + 2*m - 4*t for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nqml when four letters picked without replacement from {q: 2, m: 2, l: 2, z: 1, n: 1, o: 1}.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 617794?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -522, -1030, -1538?\nAnswer: -2046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 318 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/3)\/((-243)\/6).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110100010010001011110010 + -1?\nAnswer: 1110100010010001011110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49991322 is divided by 109?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1366352 divided by 26276\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of 0*a**4 - 1 + 1\/90*a**5 + 0*a - a**2 - 1\/9*a**3. Let d(q) be the second derivative of z(q). Let d(o) = 0. What is o?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*r**6 + 4*r**5 + 524*r**3 + 2*r**2 - 11027*r?\nAnswer: 240*r**3 + 240*r**2 + 3144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 969453, 969468, 969483?\n\"Answer: 15*p + 969438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*p**3 + 11*p**3 - 8*p**3.\nAnswer: 9*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 5*q**2 - 4*q + 4. Let n be j(3). Let p = n + -29. Solve p*m = 4*m + 12 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 4*s - 520 = 128, 12 = -3*s. Calculate the remainder when 776 is divided by v.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -17*b - 1 + 5 - 4. Let v(m) be the third derivative of m**5\/60 - 6*m**2. Calculate v(y(g)).\nAnswer: 289*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of u**6 - 243*u**3 - 238*u**2 - 3*u?\nAnswer: 120*u**3 - 1458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23.15032l to millilitres.\nAnswer: 23150.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 130\/(-52)*8\/190.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 2 + -4 + 6\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -3*j, -15 = -5*o - 35*j + 40*j for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2966 + -2019. Let r be b + -5 + -3 - 2. Suppose -5*z + r = 52. What are the prime factors of z?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**3\/7 + 4988*w**2\/7 - 1255188*w\/7 + 72398196\/7.\nAnswer: 4*(w - 111)**2*(w + 1469)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1520 = 4*y - 2*m, -4*y + 0*m - 5*m + 1548 = 0. Does 28 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of 9161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 - 3*i + 29. Let y be m(-7). Let q = y - -1. Suppose 0 = -q*r + c + 110, -71 = -2*r - c + 39. Is r a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that j**3\/6 - 1079117*j**2\/3 - 4316471*j\/6 - 359706 = 0.\nAnswer: -1, 2158236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of 17*y**3\/6 + y. Let a(f) be the first derivative of 5*f**3\/3 - 187285. Determine a(s(i)).\nAnswer: 1445*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 + 17*g + 20. Let v be n(16). What is the second derivative of 3*r**4 - 14*r**5 - 20 - 3*r - 45 + v wrt r?\nAnswer: -280*r**3 + 36*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35 - -42. Let g(c) = 2*c**2 + 2*c + 2. Let m be g(-4). Suppose -s = -4*j - 4*s + m, 0 = j + s - f. Solve -2*q = -j - 1 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -3*b**3 - 38*b**2 + 18*b + 70. Let o be t(-13). Solve 2*g - 10 = 4*r, 5*g = r + o + 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51 + 19*j**2 - 52 - 51 + 154.\nAnswer: 19*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 0*i + 0 - 4\/7*i**2 + 4\/7*i**3 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 188.275 take away 75?\nAnswer: 113.275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -81*q**2 - 654*q - 48 = 0.\nAnswer: -8, -2\/27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 496*v - 5092. Determine b(12).\nAnswer: 860","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 8*k**2 - 2140*k**3 + 2137*k**3 + 0 + (-k + 0*k + 0*k)*(7*k**2 - 2*k**2 - 3*k**2) to the form y*k**3 + j*k + s*k**2 + z and give z.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - (3 - 1)) + 5?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2809406, -2809529, -2809652, -2809775?\n\"Answer: -123*w - 2809283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 3, -0.5, 0.3, -1, -93, -0.2, -4\/33?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*u**3*v**3 - 137*u**3*v**2 - 27*u**2*v**3 - u**2 - 25*u*v**3 - 2 wrt u.\nAnswer: 12*v**3 - 822*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -25 and 273730439.\nAnswer: 273730414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 4*a**2 + 3*a - 5. Let j be q(5). Let f = 220 - j. Is f a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 41, 68, 101, 134, 161, 176?\n\"Answer: -a**3 + 9*a**2 + 7*a + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 577, 2, 67, -2, 3 in increasing order.\nAnswer: -2, 2, 3, 67, 577","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-60)*15\/27.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*s + 33*s - 6*s to the form t*s + u and give t.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 8*c - 26. Let v be s(-6). Let b = v - -80. Let g be 1\/26*(6 + b). What is the closest to g in -1\/4, 0.4, -3\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-15)\/(-70) + (-464)\/7392. Is z at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 200020897?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 1230?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 69 - 15. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48406 - 127?\nAnswer: 48279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 - 48*m**2 + 216*m + 12379. Determine h(-47).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.01 and -12372292652888.\nAnswer: -12372292652887.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -9*v + 16. Let w be x(8). Let p = w + 68. Calculate the remainder when p is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 7030 = 41*q. Let y = q - -500. What is the greatest common factor of 35 and y?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1492 - 10*d - 19*d + 2*d**2 + 41*d - 12*d to g + y*d**2 + u*d and give g.\nAnswer: 1492","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*f**4 + f**3 - 31507*f**2 + 2*f + 1779837 wrt f.\nAnswer: 144*f**2 + 6*f - 63014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96 = -136*m + 120*m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8771 - -0.09.\nAnswer: -8770.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 2*a - 11, -21 = y - 6*y + 2*a. What is the common denominator of 2\/y - (-604)\/240 and 37\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 - 4. Let l(z) = -16*z - 5. Let p(q) = 10*q + 9*q - 23*q + 1 + 8*q. Let m(i) = y*p(i) + 2*l(i). Calculate m(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*t + 1679*t**4 + 1714*t**4 - 3374*t**4 - 2 in the form a + c*t**4 + n*t**2 + g*t + o*t**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1306 + 638 + 167*c**4 + 594 wrt c?\nAnswer: 668*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 202 divide 968994?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + s - 51 + 8 + s**2 + 16 - 41.\nAnswer: s**2 + s - 79","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 546 - 548. What is the nearest to 2.4 in 5, u, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122 (base 3) in base 6?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19255 a multiple of 206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, -0.66, 2 in decreasing order.\nAnswer: 2, 2\/13, -0.66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + g - 18 = -51, 0 = 3*s - 4*g - 13. Suppose -s*o - 6 = -20. Factor 0*t - 3\/4*t**3 - 3\/2*t**o + 0.\nAnswer: -3*t**2*(t + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11694 - -4695. Does 27 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 108631, 217262, 325897, 434536, 543179?\nAnswer: 651826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5125 is divided by 177?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 494 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -808, -703, -598, -493, -388, -283?\nAnswer: -178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**3 - 222*s**2 - 221*s - 326. Calculate n(112).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, w: 4, j: 2, a: 6, o: 3}. Give prob of sequence wo.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 29.33889 minutes?\nAnswer: 1760.3334","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -293*v**7 - v**3 - 164*v - 311. What is the third derivative of w(h) wrt h?\nAnswer: -246120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/3612*(10 - 2)?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 81828168?\nAnswer: 81828168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*u + 3. Let b = -7.61 - -7.7. Let m = b - 1.09. What is the closest to m in 2\/7, u, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 207\/47 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2)*(((v*v\/((v*v**(-7\/4))\/v))\/v)\/v)\/v*(v**(-1)\/v)**(8\/5))**(-42) assuming v is positive.\nAnswer: v**(1869\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -44 and -64824.\nAnswer: 2852256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/3)\/((-5)\/90). Let i(y) = -1 - 18*y**2 + 11*y**2 + y**3 + t*y**2 + 5*y**2. Calculate i(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*w + n - 12, 77*w = 78*w - 2*n - 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/201 less than 32\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of t**8\/840 + t**7\/1050 - t**6\/50 + t**5\/30 + t**4\/60 - t**3\/10 + t**2. Determine w so that b(w) = 0.\nAnswer: -3, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -374538 - -374516.0041. Let v = 22 + m. Round v to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13\/10 + 271\/210. Let j = m - -37\/210. What is the second biggest value in 3, j, 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23152203?\nAnswer: 3, 19, 45131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 45190 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 5) to base 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12723?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 2 + (-30 - -3) + 12 + 0.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1533096 and 37611?\nAnswer: 32195016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59581*j + 20104*j + 20024*j + 20120*j.\nAnswer: 667*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*a**3 - a**4 + 645 - 696 - 2*a**3 + 0*a**3 wrt a?\nAnswer: -4*a**3 - 18*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5 + (-82)\/(-18))\/2. Let l = -0.2 + -0.8. Let q = l + 0. Which is the third biggest value? (a) 5 (b) i (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of z**4\/12 - z**2. Let d = 2 - 0. Let j(r) = -d + 2*r**2 + 2. What is j(k(s))?\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -296, -298, -300, -302, -304?\n\"Answer: -2*f - 294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1656 = 45*n - 57*n. What is the remainder when n is divided by 76?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -3*i + 4*p - 16, -p = -5. Let d(x) = x**2 - 8*x + 1. Calculate the remainder when i is divided by d(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(17))**2*5*-5.\nAnswer: -3825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**2 + 2*h**2 + 0*h**2)*(-1 - 2 + 0)*(-8 + 8 - 4*h**2).\nAnswer: 24*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -185, -186, -187?\n\"Answer: -z - 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -48 - (29 - 91 - -85).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*s + 5403 = 1153. Solve s*c - 56*c + 24 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10001531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - (14 + -14 - (2 - 2))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(396) + -1 - 3*sqrt(396)*-2) + (sqrt(396) + sqrt(396) + (3 + sqrt(396)*2)**2)*3 + -2.\nAnswer: 294*sqrt(11) + 4774","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does -1034479\/10 = -103449?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18909.\nAnswer: 3, 11, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g\/(g\/((((g*g**4)\/g*g)\/g)\/g)))*g*g*(g*g**0)\/g*g)**(2\/31)*g**(4\/7)\/g**(-2\/7)*(g\/g**1)**(-31) assuming g is positive.\nAnswer: g**(214\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 4*q - 7440 = 0, -2*q + 9300 = 5*t - q. Is 30 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 4*h - 51. Let w be r(15). Solve 4*t - w = 4*z - 1, -4*z + 4 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 + 0.2. Let m(u) be the first derivative of u**2\/2 + 3*u + 2. Let k be m(-8). What is the closest to w in k, 2\/7, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -310315 + -1242?\nAnswer: -312001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1595b - 771?\nAnswer: -163cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.559, 1, -19, 0.3 in descending order.\nAnswer: 1, 0.3, -0.559, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 x, and 2 k when four letters picked without replacement from {y: 2, x: 3, k: 12}.\nAnswer: 99\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-8)\/(-6))\/((-13)\/(-468)). Let k = u - 42. Solve k = 5*q + 3*b + 25, 0 = -q + 2*b - 9 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - 4132?\nAnswer: -4130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 2*m + 2*r = -7, -4 = -4*m + 2*r for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000035493822 rounded to six decimal places?\nAnswer: 0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 243, 248, 257, 270, 287?\n\"Answer: 2*s**2 - s + 242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(65)*6 + (sqrt(65) - -2*sqrt(65)*6))\/((sqrt(320)*2 - sqrt(320))\/(2*sqrt(4)*2)).\nAnswer: -5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 2*k + 4*a + 7, -3*a = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u**2 + 11*u - 2. Let d be j(5). Suppose 4*b = 5*o - 306, 5*b - 104 = -d*o + 87. Is o a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -194*r - 396 = -158*r for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-60)\/(-33) + 2\/11. Suppose y = -u*j + 3, 2*j + 0*j - 4*y = 18. What is the derivative of l**j + 0*l**3 + 5 + 0*l**3 + 0*l**3 wrt l?\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 140 and 160?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of 13*q**5\/5 - 6*q**4 - 1405*q**2\/2 - 1406. What is the second derivative of l(g) wrt g?\nAnswer: 156*g**2 - 144*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 37, 39, 41, 43?\n\"Answer: 2*t + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 4*b - 3. Let m be q(2). Let d(w) = 5 - 3*w**2 - m. Let p(v) = 3*v**2. Calculate p(d(z)).\nAnswer: 27*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10560340 (base 7) to base 16.\nAnswer: e122f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 7*f + 20, -7 = 5*o + 13*f - 17*f. Sort 21, o, -4 in descending order.\nAnswer: 21, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + -27)*5\/21 - (-23 + 17). Which is smaller: s or -346?\nAnswer: -346","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of k**3*r*u + 179413*k**3*r - k**3*u + 3*k**3 - 2*k**2*r*u + 273*r*u + 21355*r wrt k?\nAnswer: 6*r*u + 1076478*r - 6*u + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -3*r + 27, -f - 4*r + 41 = 4*f. Let i = 4 + 0. Suppose i*z - 2 = 2. Solve f = 3*k - z for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -20? (a) 2\/7 (b) 17 (c) 97\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -8*j + 52. Let c = j - 9. Put 1\/3, 0.1, c in ascending order.\nAnswer: 0.1, 1\/3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8363097 and 2565?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -268 + 269. What is the closest to o in 1\/7, -2\/11, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of x**4\/24 + x**3\/6 - x**2. Let t be m(3). Let j(n) = 2*n**2 - n. Calculate the remainder when j(t) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3996.119 + -0.191686848?\nAnswer: -3996.310686848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/1)\/((-11)\/4 + 3). Suppose 4*c - y*m - 13 = 51, 5*m + 23 = 2*c. Suppose -70 = -26*b + c*b. What is the lowest common multiple of b and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 219312.36 minutes in hours?\nAnswer: 3655.206","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2736 - 13672\/5. What is the closest to j in 0.2, 10, -5, -0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -485.5 + 485. What is the third biggest value in u, 0, -0.4, -9?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2*l - 8 = 0, 5*u + 10 = 4*l + 32. Let p(x) = x**3 - 3*x + 1. Let b be p(u). Let m(y) = -y + 0*y + b*y. Let a(s) = -s**2. What is m(a(j))?\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -b**2 - 125*b - 246 = 0?\nAnswer: -123, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.06 (b) -0.22 (c) 3\/13 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g**2 - 180*g. Let h(m) = m. Determine h(u(q)).\nAnswer: -2*q**2 - 180*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 16*q + 2. Let y = -29\/9726 - -365493731\/126438. Let z = y + -2889. Calculate the common denominator of z and c(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 119853704*t**4 - 228787037*t**2.\nAnswer: 2876488896*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -47*a**4 + 330 - 9*a**2 - 8*a**2 + 16*a**2 wrt a?\nAnswer: -188*a**3 - 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1911038 to the power of 1\/2, to the nearest integer?\nAnswer: 1382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 27704\/22611?\nAnswer: 27704\/22611","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*p - 324 = -24*p. Let h be (-2)\/6 - 360\/p. Solve -4*g = -h*a + 21, 0 = 2*g + 4*a - a - 3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -88217\/16159 - -7\/1469. Let r = 0.3643 - 4.3643. Which is the second smallest value? (a) 0.2 (b) r (c) 2\/13 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(539)*1)**2)*-5 - (2 + 5*(sqrt(539) - (3 + sqrt(539))) + sqrt(539))**2.\nAnswer: -3393 + 182*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.641025366 to one decimal place.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 137*m - 4656. Let y be d(34). Let s(b) be the first derivative of -10\/9*b**3 - 17\/6*b**y - 8\/3*b + 44 - 1\/12*b**4. Suppose s(w) = 0. Calculate w.\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 2*p**4\/5 - 71688*p**3 + 16053091514*p**2\/5 + 610563861996*p\/5 - 257067444512 = 0.\nAnswer: -40, 2, 89629","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -5 - 4*l + 27 + 20 + 5*l. Let f be c(28). What is the highest common factor of 210 and f?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-10) - (-642)\/30. Solve -4*o = 5*y + 29, 2*o + 2*o - f = 5*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/23482 and 131\/2262?\nAnswer: 26558142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**3 - 67742660*p**2 + 229453466936425*p - 458906662902250.\nAnswer: 5*(p - 6774265)**2*(p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 220614214?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1778 - -1783.775. Round w to 1 decimal place.\nAnswer: 5.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttt when three letters picked without replacement from {t: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 70 and -3743982.\nAnswer: -3743912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*d = d - 34. Which is the nearest to d? (a) -3 (b) -4 (c) -0.015\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.839 to 2 dps.\nAnswer: -0.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*(-15 + 10\/2). Let j be 0 - 1 - (-1)\/g*-12. Factor -j*t**2 + 4\/5 + 3\/5*t.\nAnswer: -(t - 4)*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1626 is divided by 507?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*0.68371.\nAnswer: 0.136742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1236905 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32 + -8. Let h = j + 19. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 668 = h. Does 22 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 158*8932.\nAnswer: 1411256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -459, -460, -461, -462?\n\"Answer: -h - 458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -805*q + 809*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5384?\nAnswer: 2, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 429341521 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -a3095 (base 12) in base 8?\nAnswer: -637261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4017168 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y**3 - 8 - 9*y**3 + 8.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -52*i - 26. Is k(-5) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11100001110111101 (base 2) in base 8?\nAnswer: -341675","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/14)*q*q**(3\/32))\/(q**(-6\/19))**(-2) assuming q is positive.\nAnswer: q**(2271\/4256)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 108*b**2 - 5*b + 5. Let g be m(1). Suppose 6*o = 2*o + g. Calculate the highest common divisor of o and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11.3 - 11.6. Let o(i) = 11*i. Let w be o(1). Suppose f + w = 3*u, -4*u + 5 + 13 = 2*f. Which is greater: b or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(704)*-4)\/((-6*sqrt(64)\/sqrt(4))\/sqrt(4)))**2*-1*-4.\nAnswer: 11264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -378 - -378. Which is greater: -2\/3067 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, 3, -10 in descending order.\nAnswer: 3, -3, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 267*o + 10*o + 19140 = -45*o + 3*o for o.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 3751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 + 98*4\/(-96). Put -0.1, b, 15 in ascending order.\nAnswer: -0.1, b, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/10, -1\/2, 5, 0.4, -36280 in ascending order.\nAnswer: -36280, -1\/2, -1\/10, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -50966 + 50969. Suppose 0 = w + 5*h - 4 + 6, 0 = -2*w - 2*h + 36. Solve -w*x - a = -20*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n - 5*n + 2 - 3*n)*(4*n - n - 4*n).\nAnswer: 3*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2961 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 6010.415?\nAnswer: 6011.415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1364 a factor of 1306712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 17 = 3*v - 3, 0 = -2*u - 2*v + 12. Suppose 4 = 4*k, -2*m = m + k - 10. Let c = -2 + m. Calculate the remainder when u is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 645597609, 645597608, 645597607, 645597606?\nAnswer: 645597605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/7))**(-1))**(-15\/4)*((b**1)**(-22))**(-26\/3) assuming b is positive.\nAnswer: b**(7963\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -42*a**2 + 109*a - 109*a in the form i + n*a**2 + h*a and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.908 rounded to 0 decimal places?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000024029 to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.03 in 0.5, 16\/5, -0.03, 5, 0.118, -5?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 5*t**2 - 3*t - 6. Let u be n(-4). Let d = u + 14. What is the tens digit of 19\/(d\/12*3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(126)*2 - sqrt(126))\/sqrt(6) - sqrt(21)))\/(-1*sqrt(147) + sqrt(243)*1) + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 1. Let p(u) = 8*u - 8. Let s(k) = -1. Let a(j) = p(j) + 3*s(j). Let g(b) = -a(b) - 2*o(b). Find the first derivative of g(t) wrt t.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/21 and 119\/4206.\nAnswer: 29442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -2*r + 3*r - 139480, -r + 2*w = -139510. Round r to the nearest ten thousand.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of 0*c - 116*c**2 + 0 + 1\/60*c**5 + 1\/8*c**4 - 83\/6*c**3. Find the first derivative of p(s) wrt s.\nAnswer: 2*s + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -71 + 38 + 50 + 24?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(56) - 1*sqrt(56))*5)\/(2*1*sqrt(8)) - (sqrt(1008) + -2*(sqrt(1008) + 2)**2 - (sqrt(1008)*2 + -5)**2).\nAnswer: -156*sqrt(7) + 6081","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 58450873 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 660.9726 - 1145.2.\nAnswer: -484.2274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - -1cc2b?\nAnswer: 1cc31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 73104 and 176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1645, -6549, -14723, -26167, -40881?\nAnswer: -58865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9487405673 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -392.35422 rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 58*n - 195 + 32. Sort n, 5, 1, -40 in descending order.\nAnswer: 5, n, 1, -40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5 + (-17)\/(-3) - 38\/(-6). Let o be 325\/(-91) + (-3)\/d. Let s be (0\/(0 + o))\/(-1). Solve 1 = -x - s for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3495*q - 18 - 2513*q + 1833*q.\nAnswer: -4175*q - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/15*9*-1. Let f(g) = -3*g + 2. Let n be f(p). Let l = 29 + n. What are the prime factors of l?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 27 + 48. Solve 2*z = -2*i + 2, 5*i + 3*z - 2*z + n = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 2:23 AM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m**2 - 2*m - 6. Let x be (-1 - -1)\/1 + -6. Let d(b) = 41829*b**2 + 4*b - 44 - 41825*b**2 + 55. Give x*d(h) - 11*f(h).\nAnswer: -2*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/383 (b) 1\/9 (c) 1543\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.18292702 rounded to 2 dps?\nAnswer: -6.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - 12740829\nAnswer: -12740829.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33783258?\nAnswer: 2, 3, 463, 12161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 45063, 45085, 45123, 45177?\n\"Answer: 8*d**2 - 2*d + 45057","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4396 and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6609977.\nAnswer: 11, 233, 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -659, -1209, -1645, -1961, -2151, -2209?\n\"Answer: n**3 + 51*n**2 - 710*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 652444405 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1351203 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30631 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 7, g: 4}. Give prob of picking 3 g and 1 e.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.07 + 0.07. Let w = 3 + -2.6. Which is the smallest value? (a) t (b) 1 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2992 - -65392.8\nAnswer: 65393.0992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to -375\/39238?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 75 (b) -147 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.9136166us in weeks?\nAnswer: 0.0000000001420529375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1425, 2842, 4259?\n\"Answer: 1417*h + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 101, -0.4, 924, -0.5, -9\/2?\nAnswer: 101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 minus 0.058512287289?\nAnswer: -0.068512287289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide (105\/12)\/(183\/60 - 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -7*v - 1. What is the least common multiple of 17 and y(-1)?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/5)\/h*h)\/(((h\/h**(-6))\/h)\/h))**(-12)\/((h*h\/h**0)**(-6))**(1\/41) assuming h is positive.\nAnswer: h**(11376\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a decade in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 10\/23, 1, 302, 4?\nAnswer: 10\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 4 - 465822*r + 466075*r - 2.\nAnswer: 253*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 122*a*z**3 + 283*a*z - 2*z**2 wrt z.\nAnswer: 732*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-5))\/(-4)*(-198)\/10296*-468.\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42 and 1.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 552 and 16432902.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r = r + 24. Suppose -w = w - r, 0 = 4*h + 2*w - 60. Solve -h*n + 16*n + 4 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 431?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence epks when four letters picked without replacement from {s: 5, k: 7, p: 3, e: 1}.\nAnswer: 1\/416","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f*r**3*u**3 - 3*f*r**3 + 13*f*r*u**2 + 4*r**3*u**3 + 8*r**2*u**3 with respect to f.\nAnswer: r**3*u**3 - 3*r**3 + 13*r*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 u, and 1 g when three letters picked without replacement from {s: 2, c: 1, d: 1, g: 1, u: 1, b: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 128707303 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 1:27 AM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 25 = 5*m + 7, -2*l + 6 = 2*m. Let d = m - -32. Let g(b) = b**3 - 5*b**2 + 9*b - 12. Let o be g(8). What is the greatest common factor of o and d?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 138\/(-36) - (-2)\/(-12). Let b be -13*(-2)\/(s\/14). Let c = -54 - b. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -987083, -987042, -986973, -986876, -986751, -986598?\nAnswer: -986417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -31*p**3 + 30*p**2 + 575*p + 1036. Calculate r(-2).\nAnswer: 254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 40? (a) -0.9 (b) -1\/2 (c) 3 (d) -88\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - 0. Suppose 9*u - 4*u - f = 0, -r - 5*u + 15 = 0. Let g = 59 + -62. Which is the nearest to 2\/5? (a) r (b) -1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(2057) + -1 + sqrt(2057))**2 - (sqrt(2057) + ((sqrt(2057) - sqrt(2057)*-4)*-1 + sqrt(2057))**2))*6.\nAnswer: -148098 + 198*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 3 = z, 4*i - 9 = z + 2*z. What are the prime factors of 10 + (-1 - (-1 + z))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1144 or -1152?\nAnswer: -1144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 53974740 rounded to the nearest 100000?\nAnswer: 54000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 812*40\/720 - 46\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 3)*(-2*f - f**4 - 3*f**3 + 2*f) - 62012*f**3 - 10 + 62012*f**3 - 14*f**4 to z + j*f + p*f**4 + c*f**3 + n*f**2 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2175?\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of -p**4\/12 - 14*p**3\/3 + 29*p**2\/2 + 20*p. Suppose w(d) = 0. What is d?\nAnswer: -29, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5921?\nAnswer: 31, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c + 5. Suppose 0 = u - 4*u - 2*i + 16, 2*u - 5*i = 17. Let j = u + -3. Let q(f) = -6*f + 26. Give j*q(s) - 16*b(s).\nAnswer: -2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f + 5*f + 0*f)*(-198*f + 64045 - 64045).\nAnswer: -396*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -4*i**3 - 10*i**2 + 2. Let q(a) = -3*a**3 - 10*a**2 + 2. Let g(t) = -4*k(t) + 5*q(t). Let b be g(10). Solve -b*p + 0*p + 10 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1211684?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7\/3 or 78983?\nAnswer: 78983","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 - c**2 - 2*c + 4. Let p be m(2). Let o be ((-4)\/(-10))\/(p\/50). Suppose -5*j - 3 = -23. Solve 7 = j*y + 3*b + 34, -b + 10 = -o*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, 0.5, 5\/897, -1, 5, -6?\nAnswer: 5\/897","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 21*s - 645. Let c be g(33). What is the highest common factor of 68 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -7.683, 8, 1\/5, 21, 2 in decreasing order.\nAnswer: 21, 8, 4, 2, 1\/5, -7.683","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-170)\/(-12) - 4\/24. Suppose 5*x - 9 = -l - 2, -2*x + c = -l. Let y = 21 + l. Round y to zero decimal places.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + -2 + 12 - 3. Let t = o - 4. Let k(u) = 3*u - 1. Calculate k(t).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 1)*(z + 3*z - 3*z) - 3*z - 2 + 2 + 202*z - 180*z + 233*z.\nAnswer: 251*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/14 - (-209040)\/9380?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2342 and -2.\nAnswer: -0.4684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2204 + 60 = -66*n - 17*n - 69 for n.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 + -5. Let a = -58 - -72. Suppose -a*p - 55 = -f*p. Round p to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = -11*z + 8*z - 4*w, 5*z + 6*w + 88 = 0. Put 192, 3, z in increasing order.\nAnswer: z, 3, 192","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-42)\/18 + (1775\/270 - 2) and 7\/3930.\nAnswer: 35370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(-3) + (-4)\/6. Suppose 7 = -3*i + 13. Suppose -i*d + d = -4. Solve l = d*h + 14 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/11*((-9)\/2)\/(-3)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 (base 4) in base 13?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 56534043 - 23?\nAnswer: 56534020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 AM and 11:52 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53128, -53557, -53974, -54373, -54748, -55093, -55402, -55669?\nAnswer: -55888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -278, -292, -316, -344, -370, -388?\n\"Answer: q**3 - 11*q**2 + 12*q - 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -372, -371, -370, -369, -368?\nAnswer: -367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -11, -44, -97, -170, -263, -376?\n\"Answer: -10*t**2 - 3*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 20 = u. Let n = 0.5 + 0. Let t = -0.1 + n. Which is the second biggest value? (a) t (b) u (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cwcfwhhfcc. Give prob of sequence whfc.\nAnswer: 2\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 35 = 8*d. Let v = d - -4. Calculate the lowest common multiple of v and 1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11974000 to the nearest 100000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 636, 1349, 2176, 3117, 4172?\nAnswer: 5341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 + 6. Let i = -16 - u. Let s(q) = -102*q + 9074. Let f be s(89). What is the smallest value in 2, f, -1\/5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1092 - 14?\nAnswer: -10a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6593, 26344, 59255, 105326, 164557, 236948, 322499?\nAnswer: 421210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 386 - 20*o + 50*o - 361 + 5*o**2.\nAnswer: 5*(o + 1)*(o + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a millimeter in micrometers?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8\/35 - (144\/(-56) + 3)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 35223677 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 3*y + 6. Let h be a(4). Suppose 2*k + 2*m = 4, 3*k = -4*m - 0 + 8. Suppose k = 5*g + 1 - 16. Solve -g*i - 4*b = 2*i - h, -3*b = -3*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 162*1.2.\nAnswer: 194.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -142110 - 4025?\nAnswer: -146135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 - 3*y**2 - 10*y + 19. List the prime factors of g(5).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**2 + s. Suppose -4*d + 2 = -2*g, 6 = -5*d - 2*g - 14. Determine j(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 125 - 102 - (-14 + -25).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -51, -0.12, 0.2, -1, -12 in descending order.\nAnswer: 0.2, -0.12, -1, -12, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(108\/549) - 1\/(-3))\/(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 33*r - 396. Determine s(12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = 4*q - 175. Suppose 2*r = 2*a - q - 7, 16 = -4*r. Does 13 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4654 and 2391082?\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 199158983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 1)*(-2*j - j + 2*j) + 2*j - 2*j + j + (2*j - 6*j + 3*j)*(-109 + 67 + 113).\nAnswer: -69*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - a - 174 = -2*a, 2*s - 3*a - 105 = 0. Let i = s - 55. Suppose 6 = i*h + 3*b, 3*h + 2*b - 2 = 2*h. Calculate the highest common divisor of h and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*h**3 + 10*h**4 + 4*h**3 - 19*h**4 + 12*h + 5*h**4 wrt h?\nAnswer: -48*h**2 + 54*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 24*u - 92 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 203 - 1011024?\nAnswer: -1010421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -42.01 - -27.01. What is the second biggest value in -0.4, 5, 0, s, -13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 12:36 PM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3175, -3495, -4027, -4771?\n\"Answer: -106*v**2 - 2*v - 3067","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of 53*u**5\/30 + u**4\/24 + 5*u**3\/3 - 191*u**2. Does 74 divide g(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*s + 2*s - 3*r, 5*s = 2*r + 12. Solve 2*p = m - 4, 0 = m - s*p + 3*p + 5 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -314, -593, -868, -1139, -1406, -1669?\n\"Answer: 2*a**2 - 285*a - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (13 + 16 + -18 - 8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, 76, 154, 234, 316?\nAnswer: 400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -x - 12. Suppose -j - 3 = -x. Solve 0 = -j*m + 5*m + 5*l - 21, -m = -3*l + 6 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9382*z**2 + 6033 with respect to z.\nAnswer: -18764*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - -3256?\nAnswer: 3254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of 0*q - 1\/2*q**2 - 1. Let b(t) = 3*t. Give l(b(o)).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -7 - 25. Let h be (-30)\/75 - b\/30. What is the third smallest value in 4, 2\/7, h?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -350.480371 to the nearest 10.\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -62 + 42. Let s = 18 + q. Do -2\/3 and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27913.26 microseconds to milliseconds.\nAnswer: 27.91326","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 43144689 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -43 + 48. Let n = 9 - v. Suppose 0 = -f + 3*h + 87 - 23, -h = -n*f + 300. What are the prime factors of f?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48358 is divided by 6043?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43 + -50. Let n(x) = 3*x**2 - x + 1. Let a be n(1). Suppose 4*q + 0*v - 5*v + 8 = 0, 3*q = a*v - 9. Are r and q unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c. Let q = 214 - 207. Let l(p) = -q*p + 14*p - 19*p + p**2. What is b(l(t))?\nAnswer: t**2 - 12*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.026 + -0.874. Round p to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/30 and -151\/90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26 and 1197235.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 f, 1 z, and 1 j when four letters picked without replacement from {z: 2, g: 5, j: 3, f: 5, s: 4}.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42\/42292687 or 1?\nAnswer: 42\/42292687","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/5)\/((-64)\/160).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t**2 - 765*t. Let o(d) = -23*d + 5. What is o(u(n))?\nAnswer: -69*n**2 + 17595*n + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13823 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is t in t**2\/6 - 128*t\/3 + 8192\/3 = 0?\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2528300 by -2620.\nAnswer: -965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 126 (b) 1\/3 (c) 4\/7 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5000) + 5*(-1 + sqrt(5000)) + -1)**2 + (-4*(-2*sqrt(80) + sqrt(80))\/((1*sqrt(60))\/sqrt(6)))**2.\nAnswer: -3600*sqrt(2) + 180164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-11)\/627*-6 - 226\/342. Which is greater: f or -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -6.7. Let a = 7 + -6.9. Let j = -0.9 - a. What is the third biggest value in j, 3\/2, c?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -60*f. Let n(j) = 24*j. Let v(g) = 5*k(g) + 12*n(g). Let l be v(-1). Let h = -12 + l. Solve h = -i - i + 4 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 10554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 422134 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/76*(-5 - 154\/(-30)). Let d = -8263\/190 + g. What is the common denominator of -101\/60 and d?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -0.02657?\nAnswer: 0.005314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -262*k. Let z(r) = 17*r**2. Determine j(z(t)).\nAnswer: -4454*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-36))**(-1)*(x**(-14))**25)**(2\/77) assuming x is positive.\nAnswer: x**(-774\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (6 + (-2 - -8) + 0 + (-17 - -12))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.4 - 4. Let g be (-15)\/10*((1 - 7) + 2). Which is the nearest to g? (a) -1\/2 (b) -2\/3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*k**3*u*x + 154*k**3*u + k**3*x + 2*k**2*u + 294*k*u*x - u*x wrt k?\nAnswer: 18*u*x + 924*u + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 AM and 12:25 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120306*o**3 + 120304*o**3 - 240609*o**3.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 81\/(-72)*4\/(-3). Does s = 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 4*i = 3*u + 3, 3*u + 2*i - 18 = 0. Let x be (8\/32 - 3\/4)*-4. What is the highest common divisor of x and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c - 2. Let j be o(6). Suppose -83 = -r + j*b, 5*b = 2*r - 0*b - 154. Is 20 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -7*v**3 + v**2 + v. Let s(k) = k**2 - k - 2. Let l be s(6). Let n be 7\/l + 5\/(-4). Determine u(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t**4 - 30*t**3 - 30*t**2 - 22. Let w(v) = -v**3 - v**2 - 1. Let r(j) = -2*d(j) + 44*w(j). Determine b so that r(b) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -24351, -48699, -73047, -97395, -121743, -146091?\n\"Answer: -24348*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 + 12*p - 3. What is s(-11)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 98 and 2435\/25 - 12\/(-20)?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 397588680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 84 and 17073.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/2)\/((-54)\/378)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*v - 54*v + 21*v + 17*v + 22*v.\nAnswer: 19*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -16881891?\nAnswer: -16881891","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 4*o = 20, 0 = 2*t + 2*o + 10 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19\/2 - 37\/4. Let k(o) = -o - 3. Let u be k(-10). Let j = -24 + u. What is the closest to 0 in j, -2\/15, t?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fif when three letters picked without replacement from cefefciz?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -5*m**2 + 2*m + 5. Let a(w) = 6*w**2 - 3*w - 4. Let c(l) = 6*a(l) + 7*z(l). Let r be c(5). Solve 2*g + r = -2*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 11:53 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 26, 3, -4, -3, -5469, 4 in decreasing order.\nAnswer: 26, 4, 3, -3, -4, -9, -5469","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*2\/(-48) - ((-522)\/3480)\/((-36)\/(-7550))?\nAnswer: 94\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 6:41 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 3*w + q - 11, -w - 2*q = -12. Is 8 a factor of (-339)\/(-15) - w\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -133 - -1997\/15. Let i(j) be the second derivative of -o*j**6 + 0*j**5 - 2*j + 1\/3*j**3 - 1\/21*j**7 + 0*j**2 + 1\/3*j**4 + 0. Factor i(f).\nAnswer: -2*f*(f - 1)*(f + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 575 (b) 0 (c) -1\/3 (d) -4 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80435 is divided by 78200?\nAnswer: 2235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 18738 = -4*a, 0 = -0*a + 3*a + 3*q + 14049. Let p = a - -37553\/8. Calculate the common denominator of p and (-888)\/32*(-1)\/(-5).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 730 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of g**7\/315 - g**4\/3 + 2*g + 3. Let w(b) be the third derivative of y(b). Let d(n) = 11*n. Give w(d(q)).\nAnswer: 968*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 + f + 1. Suppose 2*i + 2*i = 2*p + 4, -1 = 5*i - 4*p. Let s be v(i). Sort 0, 2, s in ascending order.\nAnswer: s, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 4. Let r be p\/(2 - 1) - -31. Let x = r + -18. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of b**6\/144 + b**5\/60 - b**4\/12 + b. Let w(k) be the third derivative of f(k). Let o be (6\/15 - 0) + 296\/185. Determine w(o).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hi when two letters picked without replacement from hfiui?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kaaakkkkka. Give prob of picking 3 k.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -4. Suppose -5*q = 5*f - 25, 3*f + 8 = 2*q - 2. Which is smaller: f or i?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iwet when four letters picked without replacement from tewiwtetre?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 4*r = 2*u - 2946, 4*u + 3*r = 5897. Let o be 21\/14 - (7\/(-14) + 2). Let h be (-801 - -1)*(o - u). Round h to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58.33623 months to decades.\nAnswer: 0.48613525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of -5*s**7\/18 - 2*s**6\/3 + s**5\/3 + 5*s. Factor n(i).\nAnswer: -5*i**3*(i + 2)*(7*i - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 2023 = -l + 2022, -4*l - 4 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 - -51748108?\nAnswer: 51748116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3755161?\nAnswer: 97, 38713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 16 = 4*a, -r + 5*a = -5 + 1. Suppose k - 2*o - o = 5, -5*k = r*o + 13. Let q = -855 + 851. Sort k, 0, q in descending order.\nAnswer: 0, k, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 745205?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of t**8\/6720 - t**5\/30 + t**2. Let s(c) be the third derivative of h(c). What is the units digit of s(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 221782.9 to the nearest ten thousand.\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3*o**2 + 3*o. Determine g(4).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - -1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50889, -101641, -152255, -202731, -253069?\nAnswer: -303269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13464705?\nAnswer: 3, 5, 897647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*h + 610 = 1258 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70, -68, -66, -64, -62?\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -48 - -56. Let y = n + 12. Which is the fourth biggest value? (a) 4 (b) 0 (c) y (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 6 (b) 2\/7 (c) 0.2 (d) 5 (e) -0.063 (f) -0.5 (g) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -2\/821435755?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -0.33, 1\/2 in descending order.\nAnswer: 1\/2, 0.3, -0.33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 65472 divided by -4599\nAnswer: -21824\/1533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5}. Give prob of picking 4 i.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39 - 66. Is q bigger than -27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 50\/(-35) + -2 + 10\/7. Let j(o) = -2*o**3 - 3*o**2 - 2*o - 4. Determine j(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a**2 + 3187295*a - 19123590 = 0. Calculate a.\nAnswer: 6, 637453","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from totooooooo?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.0186 + -14143620.7471\nAnswer: -14143620.7285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/8 - 68\/(-16). Suppose b*d + 2*x = 95, 5*x - 38 = -2*d + 3*x. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 4110600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/883872 and 115\/73656.\nAnswer: 883872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5791 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -512*i*v**3 - 3*i*v - v**3 + 2*v**2 + 41*v wrt v?\nAnswer: -3072*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (12\/8)\/((-3)\/36*-3). Suppose p - 4 = -v*y + 2*y, 0 = -2*p - 4*y + 24. Is 12 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 435280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(((sqrt(189)*2 - sqrt(189)) + sqrt(189))\/sqrt(9) + (sqrt(21) - sqrt(63)\/sqrt(3)*3)))\/(3*(-2*sqrt(18))\/sqrt(6)*-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pf when two letters picked without replacement from xpfpfj.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/57? (a) 1\/8 (b) -0.3 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + (-4)\/(-25)*-16. Let f be 14\/(-2)*-21*3\/9. Suppose 53*x = f*x. Is x at most p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {d: 1, f: 7}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 55115520 - -24?\nAnswer: 55115544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 604, 0 in ascending order.\nAnswer: -1, 0, 5, 604","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 + -0.2. Let q = 0.04 + -2.04. Let o = 0.29 - -0.01. What is the nearest to n in o, q, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/393 and -59\/12.\nAnswer: 1572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, z: 1, f: 3, p: 2, o: 3, c: 1}. Give prob of sequence of.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2 + 20 + 4*u**2 + 1 + u + 1. Suppose -q + 1 = 2*z, 3*q + 17 = z - 2*z. Is c(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2593603844 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of 11\/12*w**4 + 0 - 4*w - 2*w**2 - 3\/20*w**5 - 4\/3*w**3. Factor t(a).\nAnswer: -(a - 2)**2*(3*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 26 - -47130?\nAnswer: 47156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 8*c - 4 = 0. Suppose -c*b = -6*b - 1716. Let r = -224 - b. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-14)\/6 - (-11440)\/(-660))*1.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 2\/7, 5, 10?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-12)\/(-15))\/(3\/(-135)). Let d = -572\/17 - -2633\/102. What is the common denominator of (-11)\/8*s\/(-2) and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -9*h**2. Let w(i) = -i - 1. Let n(k) = k**2 + k + 1. Let z(r) = -n(r) - w(r). What is c(z(j))?\nAnswer: -9*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 274, 602, 930, 1258?\n\"Answer: 328*b - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3, 6, 11, 18, 27, 38, 51?\n\"Answer: n**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 - 3*z + 4. Let h be y(3). Suppose 0 = -0*q - h*q + 212. Suppose 3*b + 2*r = -15 + q, 2*r = -5*b + 66. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -265*j = 30585 - 296910. What is the smallest common multiple of 40 and j?\nAnswer: 8040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 646482 and 0.3.\nAnswer: 193944.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-2))\/((-5)\/5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.061307 and -76.\nAnswer: -76.061307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 g when three letters picked without replacement from {r: 2, q: 2, a: 3, g: 1, j: 4}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7219 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -5*o + 729, 46*d - o = 51*d - 1193. Does d = 233?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11767 + 7764. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oy when two letters picked without replacement from porrcvyrovv.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 49*h**2 + 94*h + 3. Let g be k(47). Solve 128 = -g*p + 125 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3727 + 455?\nAnswer: 4404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**0)**(31\/5)*(d**1)**(-20))\/(((d\/((d\/(d**(2\/9)*d))\/d))\/d)**7)**(-13) assuming d is positive.\nAnswer: d**(821\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -4*d**3 - 4*d**2 + d + 4. Let s be w(-4). Suppose 16*x = 12*x - s. Let q = x + 50. Solve 11 = -q*v - 4*c + 1, -5*v = -2*c + 13 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1016*f - 1014*f - a = -7, -37 = -2*f - 3*a for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3693*b + 262*b + 3801*b.\nAnswer: 7756*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.14*85\nAnswer: 11.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*c - 53 - 68 = 0 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 343862242?\nAnswer: 2, 353, 487057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 AM and 9:16 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/(-3)*(173 + (-140)\/10)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r + 0*r - 747 + 746. Let x(y) be the second derivative of 3*y**2 + 5\/3*y**3 + 0 + 3*y. Calculate 6*q(m) + x(m).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**2. Let d be (-3)\/(-2)*((-4)\/(-12) + 1). Let t(s) be the second derivative of -5*s + 0*s**d + 2\/3*s**3 + 0. What is y(t(j))?\nAnswer: 32*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + r = -20, -2*d + 15 = 15*r - 14*r. Let w = -11 + 30. Solve -4*n + 4 = -0, d*s + w = 4*n for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 13 - 25 + 21 = -3*i - 0, -2*i = 8*d - 38 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.11 (b) 0.4 (c) -4 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(432) - sqrt(432)*1))\/(4*sqrt(36)\/sqrt(4) + 4*sqrt(9)*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00025534 to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28010 and 492976?\nAnswer: 2464880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 55*c**3 - 2*c**2 - 2*c - 1. Let n be i(-1). Let w be (12\/n)\/(6\/(-7)). What is the third biggest value in 4, 0, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 3*t + 4 + 5 = 0, -5*i + t = -3. Suppose 2*n - 8*w + 5*w - 324 = i, -3*n = -w - 479. Round n to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 6 + (1 - 1) - 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -149329458 at most as big as -149329455?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 279*m + 873. What are the prime factors of c(22)?\nAnswer: 3, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 24*a*z**2 + 9*a*z - 1795*a + 64446718*z**2 wrt a.\nAnswer: 24*z**2 + 9*z - 1795","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 PM and 11:40 PM?\nAnswer: 469","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -13244111 divided by 4.\nAnswer: -13244111\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 26\/5 of a century?\nAnswer: 6240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 + (0 - -1) - (-570 + 565). Sort 17, n, 3 in decreasing order.\nAnswer: 17, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37017, -79194, -121371, -163548, -205725, -247902?\nAnswer: -290079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174405 is divided by 1529.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4474 - -41?\nAnswer: -4433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 2, -4*x = q - 16 - 9. Let s = -136 - -145. Let d(w) = -s*w + w**2 + w - 153 + 159. Determine d(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 1 = p - 2*s, -s + 30 = -5*p. Let k(j) = -j**2 - 8*j - 4. Let w be k(p). Suppose -o + 341 = 4*r + r, -215 = -w*r + 2*o. Is r a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-23)\/3)\/(1\/(-3)). Suppose 3*i - 5 = -n. Let k = i + 3. Is -1 < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 179c65 (base 15) to base 16\nAnswer: 118028","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 1235 = 3*d - 8419, 0 = 4*n + 4*d - 5752. List the prime factors of n.\nAnswer: 5, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(22)\/(sqrt(2) - (sqrt(2)*1 - sqrt(2))) - ((sqrt(66) + sqrt(66)*1)\/sqrt(6))**2).\nAnswer: -40 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 AM and 5:40 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of -15*s**2\/2 - 44*s + 10. Let l be c(-14). Let x = l - 115. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 852265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of -1\/10*r**5 + 0*r + 0*r**2 + 1\/6*r**6 + 6 + 0*r**3 - 1\/8*r**4. Solve h(o) = 0 for o.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 2*z. Suppose -2*f + 3*f - p - 6 = 0, -4*p = -5*f + 27. Suppose 0*w + f*w - 237 = z. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 696243.\nAnswer: -3481215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of -2*u**3\/3 + 4*u**2. Let m(h) = 3*h - 1. Let k(n) = n + 1. Let c(r) = -4*k(r) + m(r). What is 4*c(w) - 5*g(w)?\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*h - 4*m, 2*h - 10 = -2*h - 2*m. What is the nearest to -1 in -1, 0.2, h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/4*3*(656\/2296)\/(6\/(-14))\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -5*v + 227, 4*v + 5*r - 59 - 110 = 0. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -28373538*n. Let p(q) = 2*q**2. Give f(p(o)).\nAnswer: -56747076*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/3170 and -33\/438094.\nAnswer: 2190470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -23*n**2*o**2 - 31*n**2 + 4*n*o**2 + 1 with respect to o.\nAnswer: -46*n**2*o + 8*n*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 4*t**2 + 469*t + 6958. Calculate g(-17).\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 1013*n - 102514. What is r(101)?\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*k**5 - 2*k**4 + 329625*k**2 - 41552986*k.\nAnswer: 200*k**3 - 24*k**2 + 659250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 170 - 155. Suppose 39*v - y = 36*v. Suppose 53 = 5*l - 2*r, v*r = 5*l + 2*r - 52. What is the lowest common multiple of 11 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2288 and 3146.\nAnswer: 25168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) 1\/9 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27350, -27348, -27342, -27332, -27318, -27300, -27278?\nAnswer: -27252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 294192 and 18900?\nAnswer: 51483600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a milligram in micrograms?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -1.5. Let n = -11098\/19 + 584. Put q, -4, n in ascending order.\nAnswer: -4, n, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (480\/140 - 4)*(-16)\/(-64)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 6*v**2 + 7*v - 7. Suppose -15 = -3*l - 2*n + 5*n, 3*l - 15 = n. Let w be u(l). Let a = w - -3. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) -2\/13 (c) 7 (d) -9 (e) -63.1 (f) 6 (g) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Is 3941077429 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 112, 1\/39.\nAnswer: 1\/39, 1, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -41c58 + -25a?\nAnswer: -41eb2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-70)\/(-14) - (-69)\/(-27). Which is bigger: s or -0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 1\/2, 1\/67, 60, 3, -7?\nAnswer: 1\/67","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 - 0. Let s(f) = -3*f**2 - f. Let r be s(1). Is o smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1996?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**5 - 3*z**4 + z**3 + 11*z**2 + 12*z + 4 = 0 for z.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1701.6 + 1702. What is the nearest to 1\/3 in 10, b, 2.3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-3104)\/(-6))\/(931\/(-57) - -17) is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.25+-27.5\nAnswer: -27.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-343)\/(364952\/(-3990))*(1\/(-2) + 38\/12)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 11*d**2 - 5*d - 21. Is 25 a factor of z(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19 and 96752.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2 + p**3 + 29*p - 34*p - 4*p**2 + 6. Let c be l(5). Suppose -3*h - 5*x + 134 = -4*h, 416 = -4*h - c*x. What is h rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*g**2 + 0*g + 129*g**2 + 0*g.\nAnswer: 188*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, -7837, -5, -9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 19 - -119512?\nAnswer: 11952b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 3*c = 18, -5 = d + 65*c - 69*c for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 9*a**2 - 8*a + 3. Let t(k) = -4*k. Let h be t(-2). Let j = -9 + 13. Calculate the remainder when j is divided by s(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 4500?\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - sqrt(33)\/(sqrt(11) + (sqrt(11) - sqrt(77)\/sqrt(7)) + sqrt(11)))*-3.\nAnswer: -3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.021129 or 0.17?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/z**(17\/5))\/(z\/(z**(-23)\/z)) assuming z is positive.\nAnswer: z**(-132\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -4 (c) 0.212 (d) -13 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 19*h - 9. Let b(q) = 57*q - 26. Let n(l) = 3*b(l) - 8*k(l). Is n(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 0, -3*r + 4*w + 189 = -0*r. List the prime factors of r.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) 1 (c) 2\/9 (d) -0.3 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 314*g**2. Let u(h) = -2*h - 404. Calculate u(l(s)).\nAnswer: -628*s**2 - 404","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of b**3\/3 - b**2\/2 + 11*b. Let u(w) = w. Let z(r) = 6*r. Let p(f) = -5*u(f) + z(f). Let x = -7 + 4. Calculate x*s(v) + 5*p(v).\nAnswer: -v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 + 6*v + 6. Suppose 2*g + 17 = -s, 3*s + 5 = -5*g - 40. Let u be h(g). Suppose 2 = u*z - 4*z. Calculate the greatest common divisor of z and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.3 + 1.26. Let n = 0.36 - t. Let q = 0 + 0. What is the biggest value in 2\/9, n, q?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {g: 10, b: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1700130018 to the power of 1\/2, to the nearest integer?\nAnswer: 41233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of -7*v**5\/450 + 53*v**4\/45 - 4*v**3\/3 - 5*v**2 + 16*v. Let g(h) = 0. What is h?\nAnswer: 2\/7, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11743781?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.34 + -8.34. Which is the fourth smallest value? (a) 4 (b) -2\/11 (c) -5 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11338, -22648, -33960, -45274, -56590, -67908, -79228?\nAnswer: -90550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 50 + -52. Let k(b) = 3*b**2 + b - 5. Let f be k(d). Solve f*a - 24 = i, -3*i - 2*a = 2*a - 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-874)\/(-10) - (4 + -4). Let p = d - 88. Which is smaller: p or 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -13051468725124 and 3.\nAnswer: -13051468725121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27 and 1269.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 6. Let j(o) = 8*o + 1. Let p be j(b). Solve 2*l + 0*l = 3*t + 6, 3*l = -5*t + p for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11\/4 != -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 + 7*v - 14. Let w = -466 - -457. What is i(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/(o\/(o*o*o**(-1\/14))*o))\/(o\/((o**(-2\/15)*o)\/o*o)))**(-1\/3) assuming o is positive.\nAnswer: o**(-377\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/168 and -29\/616.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -97, -106, -115, -124?\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.73 + -37.27. Let l = -37.8 - w. Which is the second biggest value? (a) 3 (b) 10 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*u - 8 = 125*u. Suppose t + 3 = 0, -u*k + 5*t = 72 + 53. Which is bigger: -1 or k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n - 3*j - 156, -110*n + 2*j = 24*n + n - 237 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (-7 + -4 + 6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -5*y. Let a(l) = 3*l - 1. Let j(u) = -4*a(u) - 3*n(u). Give j(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-2*2\/(-18) + (-157458)\/800982)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -16*v - 17 - 71 - 12 - 102. Calculate p(-12).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/135409552?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5072069*c*j**2 - 63688609*c wrt j.\nAnswer: -10144138*c*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 73408, 73389, 73336, 73231, 73056, 72793, 72424?\n\"Answer: -3*z**3 + z**2 - z + 73411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 281.446353 times -5?\nAnswer: -1407.231765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 68\/(-72) + 9 + (-225)\/54 + -4?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w + 2*w + 2*w)*(1 - 3 + 1) - 4*w + 8*w + 0*w - 3*w + w + 0*w + (-w - 2*w + 2*w)*(-3 + 2 + 2) - 84*w - 202*w + 99*w.\nAnswer: -185*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -16089 <= -16089?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, 27\/8, 1, -26\/7, 0.19?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 172.52 - 173. Let t = -165 - -165.202. Let u = w + t. What is u rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 3)*(5 - 21 - -14) - 437\/(-133)\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -76 - -5. Let n = -30 - a. Solve -4*f = t - 13 - 11, -4*t - 5*f = -n for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32 (base 10) to base 6.\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3760 and 1728.\nAnswer: 406080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 110304615 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 7*f**3 - 6*f - 5. Let v(p) = -2334*p**2 + 2334*p**2 + p - p**3 + 1. Let j = 33 - 34. What is j*t(n) - 6*v(n)?\nAnswer: -n**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 88 and 280424056?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 8*0.0704004\nAnswer: 0.5632032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 91800 and 11169000.\nAnswer: 33507000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 368 and 69?\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55 - -55 - (1 - -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**2 + 174*z - 504 = 0. What is z?\nAnswer: 3, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5893574 divided by -6.\nAnswer: 2946787\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 6*c + 4)*(4 - 1 - 1)*(2 + c - 2)*(-61 + 34 + 33).\nAnswer: -72*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a**2*r**2 - 52*a**2*r + 17*a*r**2 + 24*r**2 - 2*r - 2 wrt r.\nAnswer: -4*a**2 + 34*a + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 2*q = 75. Suppose v = -3*u + q, 5*v + 38 - 5 = 3*u. What are the prime factors of 12\/(u\/1) - -3*5?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -4*x + 6*x + 42, -122 = -3*o + 2*x. Is o a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (240\/9)\/(-4)*(-1809)\/(-804)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11838 - 11843.503. Let p = v + -0.147. Let n = p + 5.65361. What is n rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1, -108, -0.03, -0.5, 1961?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = i + 4*d, -i - 3*i = 5*d - 55. Let j be i\/(-10) + 675\/6 + -1. Suppose 194 = q - j. List the prime factors of q.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181*l**2 - 736*l**2 + 424*l**2 + 131*l**2 + 26*l**3.\nAnswer: 26*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1461340.4516 minus -852?\nAnswer: 1462192.4516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s - s - 3*s)*(5*s - 3*s - 4*s) - 3*s - 3*s**2 + 3*s - 4*s**2 + 24 - 26 + 3*s**2.\nAnswer: -2*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*n - 5*n - 4 + 175942*n**3.\nAnswer: 175942*n**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + y**3 - 18 - 16.\nAnswer: y**3 - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(16\/(-121)) - (-2)\/(-8). Let h(d) = -7*d**2 - 7*d**2 + 16*d**2 - 14*d + c. What is the tens digit of h(13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44 - 45) + 74 + 6?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -53528\/17 - -3146. Calculate the common denominator of a and 8\/9.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-2\/9))**(-14\/9) assuming o is positive.\nAnswer: o**(-98\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, o: 1, q: 1, w: 2, v: 1, y: 1}. What is prob of sequence hvy?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -5. Let z(f) = f**3 - f**2 + f + 3. List the prime factors of z(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5789661476 + -7.\nAnswer: -5789661483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p**2 - 6*p + 5. Let t be q(3). Solve 2*c - t*d - 16 = 0, -2*d = -2*c - d for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 5*v. Let y be h(1). Let c = -0.4 + -2.6. Let i = 5 + -3. What is the nearest to i in c, 3, y?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z + 4*d - 20, -d + 93886 = -5*z + 93863 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2 = 7, 5*n + 2*p = 35. Let o = 429.5 - 429. Put 1\/7, o, n in increasing order.\nAnswer: 1\/7, o, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -15*w**2 - 15*w + 11. Let v be (1*-1)\/((-6)\/(-54)). Let r be (-67)\/(-3) + 3\/v. Let y(u) = -4*u**2 - 4*u + 3. Let p(a) = r*y(a) - 6*b(a). Factor p(s).\nAnswer: 2*s*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1367 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 57113 by 41.\nAnswer: 1393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + 8*z**2 + 2*z - 2. Let a be n(-4). Let t = a - 52. Solve 5*c = u - 16, 2*u + u - t*c - 9 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 932 is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1790*k + 1571 = -7365 - 14 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 4530 = -5*h + 4499, 0 = 4*x + 3*h + 34 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000750914764 rounded to 4 dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1\/2*(-64)\/32\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 527190.\nAnswer: -2\/263595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 - 7*q**2 - q + 8. Let d be w(7). Let o(m) = 2*m**3 - 2*m - 1. Let y be o(-1). Let k be y + (-1 - -3) + -1. Sort -0.1, d, k.\nAnswer: -0.1, k, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1288, 2759, 4414, 6253, 8276, 10483?\n\"Answer: 92*i**2 + 1195*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(165)\/(4*sqrt(11)))\/(sqrt(5) - (sqrt(5) + sqrt(125)*1)))**2.\nAnswer: 3\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-3) - (-2020)\/12. Suppose 94*a - 14490 + 3210 = 0. Calculate the greatest common divisor of q and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41181 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: Is 2043397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9959 - 5346 = 753*f - 998 for f.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-9)*(t\/(t**(1\/7)*t))\/t)\/(t**(-2))**(-36))**(-4\/29) assuming t is positive.\nAnswer: t**(2300\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 41642 - 5?\nAnswer: 41634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1287 - 1287. Solve o = -12*p - 12 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1233*w + 472*w - 66*w - 266*w.\nAnswer: -1093*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-102)\/18 - -4)*(-12)\/80?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + -4 + (sqrt(847) - 2*sqrt(847)) + (-2 + (sqrt(847) - sqrt(847)*2) - sqrt(847)) + 1)*-6 + 1)**2.\nAnswer: 7524*sqrt(7) + 274789","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 1 + 5 = 0. Let y = n - 4. What is the second derivative of -q**5 - q + y*q**2 - 2*q**2 wrt q?\nAnswer: -20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1444732 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2078, 10788, 33204, 76178, 146562, 251208, 396968, 590694?\nAnswer: 839238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1397*r + 2802*r - 1402*r.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*m**2 + 4*m**3 - 11*m**2 - 11*m**2 - 37*m - 28 + 97*m + 9*m**2 = 0. Calculate m.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152 = -2*b + 202. Suppose 0 = b*s - 24*s - 331. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/3))**(-1\/10))**(-5\/3) assuming h is positive.\nAnswer: h**(-1\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + 32. Suppose 2*s - 2*j = -0*s - 2, 5*s + 5*j = d. Solve 4*u - 24 = s*r, -21 = 3*r - u - 2*u for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 7*z**2 + 13*z - 61. Let q(j) = 4*j**2 + 7*j - 31. Let w(v) = -3*m(v) + 5*q(v). What is the remainder when 25 is divided by w(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2 + n**4 + 2*n**2 + 0*n + 3 - 3*n**2 + n. Let m(w) = -4*w**4 + 3*w**2 - 9*w - 3. Let k(z) = 3*b(z) + m(z). Find the second derivative of k(i) wrt i.\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-1)*(-74)\/(-37)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y**3 - 5*y**2 - 5*y - 6. Let i be g(-2). Suppose i = 26*r - 37*r + 22935. List the prime factors of r.\nAnswer: 3, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 513\/(-189) - 4\/14. Let p(w) = -12*w**2 + 160*w + 16. Let o(b) = -2*b**2 + 32*b + 3. Let h(d) = k*p(d) + 16*o(d). Find y such that h(y) = 0.\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/44632 and 143\/11008164.\nAnswer: 154114296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 11:50 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-113)\/8 + (-1)\/(-2). Let n = 8 + w. Find the common denominator of n and -65\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14582\/5 - 2917. Let d = -4.7 - -0.7. Let m = -3 - d. Sort 0.7, m, u in ascending order.\nAnswer: u, 0.7, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 966 and 1035?\nAnswer: 14490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2528)\/24*(-3 + 6). Let t = a - -481. Let h = -138 + 204. What is the greatest common divisor of t and h?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54202139 to the power of 1\/3, to the nearest integer?\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 910418779 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3185 is divided by 54?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 256612.\nAnswer: 2, 64153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b*b\/(b**(-8\/3)\/b))\/b*b)\/b)\/b**(-3\/10))\/(b\/b**(1\/4)*b\/(b**23\/b*b)) assuming b is positive.\nAnswer: b**(1573\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**3\/13 - 26514*q**2\/13 + 79528*q\/13 - 53016\/13 = 0. What is q?\nAnswer: 1, 2, 13254","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 408 + -1244\/3. Is -8 at least as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x**5 - 595*x**4 + 17435*x**3 + 2477935*x**2 - 5005770*x + 2511000 = 0.\nAnswer: -108, -75, 1, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 6:05 PM?\nAnswer: 11:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*x - 48*x + 5 + 561 - 46 for x.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24753913?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -348, -511, -958, -1833, -3280?\nAnswer: -5443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20937 and 86739?\nAnswer: 607173","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, s: 2}. What is prob of sequence mm?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/14120460 and 13\/35301150?\nAnswer: 70602300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 168 and 896.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of 2*u**6\/105 - 11*u**5\/35 + 26*u**4\/21 - 32*u**3\/21 - 49*u - 12. Let m(s) be the first derivative of y(s). Factor m(d).\nAnswer: 4*d*(d - 8)*(d - 2)*(d - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 30.8 (b) -1.9 (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 3*n + a + 8, 0 = n + a + 5 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 205 divide 847487156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1488823 rounded to 2 dps?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7011 rounded to the nearest 100?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/7)\/m*m\/(m*m**(2\/9)\/m)*m)\/((m\/(m**(-2)\/m))\/(m*m*m**(-4\/5))))\/(m**(-1)\/(m*m\/(m\/(m**(-3)*m*m)*m)*m)*m**(-2\/19)) assuming m is positive.\nAnswer: m**(-3778\/5985)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/2)\/(3*(-1)\/(-2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-147)\/(-27) - 5)*3.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.17, 3, -4\/5, -391\/195?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 728106703.\nAnswer: 31, 661, 35533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*1*(-6*sqrt(117)*1*-4*-5)**2*-6.\nAnswer: -40435200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 - (45 - 7) - (-7 + (-1 - -51) + -7)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 1 - 5 = 0. Suppose 0*b = -z*b + 20. Let a = b + 14. Is a a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -21058 and -21056 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*g + 165*g - 55*g - 53*g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of k**3\/3 - k**2 + 3*k + 2. Let t be f(3). Let u = t - -25. List the prime factors of u.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5473 - -957769\/175. What is the common denominator of 139\/70 and r?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 94 - 90.95. Let x = -2.5 + u. What is x rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75679 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 12967380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -5*p - 7, j = -4*p + 3 + 4. Is -6\/17 greater than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4693, 4798, 4973, 5218, 5533, 5918?\nAnswer: 6373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144*z**5 + 192*z**4 + 92*z**3 - 188*z**2 + 52*z - 4 = 0. What is z?\nAnswer: -1, 1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from 751.\nAnswer: 752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of d**6\/120 + d**5\/3 + 5*d**4\/6 + 11*d**3\/3 + 22*d**2. Let x be s(-19). Solve t + i - 8 = 0, -3*t - x*i = -i - 19 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (15\/20)\/(-3) - (-3409)\/4. Let s be b\/(-141) + 2 - -4. Is -1 equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12932 + 12964. Solve 10*j + 3*k - q = 5*j, 0 = -3*j - 3*k + 18 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n*((n\/((n\/(n\/(n*n**(9\/2))))\/n*n))\/n)\/n)*n*n*n*n\/(n\/(n*(n\/((n**(2\/33)\/n)\/n))\/n*n))*n**(4\/7)\/n**(7\/6) assuming n is positive.\nAnswer: n**(989\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 3*u = -6. Let f(j) be the first derivative of -33*j**2\/2 + j - 3. Is f(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3918\/367 + -5525759\/521140. Calculate the common denominator of -55\/6 and r.\nAnswer: 4260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.079 to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/5*(0 - -10). Is (-312)\/(-5) - u\/(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -382 + 379 + (-10 - (33 - 30 - (-1 - -3)))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*m - 50 - 10 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 33703522 and 27683.\nAnswer: 33731205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/((-2)\/(-12)) - (1 - -2). Suppose p = -l*p + 8. Suppose p*f - 1 - 6 = 3*h, -h = -4*f + 19. Solve -2*v = -2*w, 3 = 4*v - f for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -354 + 945*n - 945*n + 99*n**2.\nAnswer: 99*n**2 - 354","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.937843 + -4.9605. Round j to four dps.\nAnswer: -0.0227","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-4 + sqrt(153) + -2))**2.\nAnswer: -144*sqrt(17) + 756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 10. Let a(g) = -4*g**2 - g. Determine a(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3 - -0.1. Let g be (72\/35 - 2)*-5. Let w be (-3)\/12 - (-6)\/(-40). Which is the closest to w? (a) k (b) g (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 2) to base 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/6)\/(21\/(-9))*-2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 7, i: 1, y: 3, z: 1}. Give prob of sequence iy.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -90 - -91. Let l = -32 + 21. Let w = l + 8. Which is smaller: v or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 0. What is the biggest value in 0.1, r, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + n = 17, -5*n = -3*k - 254 + 79 + 122 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4.75362587 + 15\nAnswer: 10.24637413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14237\/22 - -647. Calculate the common denominator of u and (-96)\/(-16) + -6 + 162\/(-32).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*0.12.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 670, 2789, 6340, 11323?\n\"Answer: 716*d**2 - 29*d - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9496.424 decades in millennia?\nAnswer: 94.96424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2426626?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*l - 24*l**2 - 2*l + 4*l - 6*l - 5*l + 25*l**2.\nAnswer: l**2 - 17*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-1 + 18 - (76 - 67)) + -3 + -43.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 + -1 + 2)*(-74)\/37. Suppose 3*l + z*m - 50 = 0, m - 53 = -4*l + 5. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1247779927?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 1028?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -3*q - 10. Let j(t) = -2*t - 9. Let c(k) = -4*j(k) + 3*m(k). Let y be c(6). Let b(u) = -49*u**2 + 203*u - 25. Let s be b(4). Solve -s + y = -w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -12*p**2 - 3*p - 6. Let h(q) = q**2 + q + 1. Suppose 166*k = 106*k - 9 - 171. Give k*h(x) - s(x).\nAnswer: 9*x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.11 - 32.49. Let d = 34 + t. Put d, 3, -1\/4 in ascending order.\nAnswer: d, -1\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 304, 2208, 7192, 16738, 32328?\nAnswer: 55444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Convert -331032 (base 4) to base 12.\nAnswer: -2326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 39 + 24. Suppose 5 = 2*s + 1. Let o be (7\/(-2)*s)\/(-1). Calculate the highest common factor of o and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express b**2 + 7*b**4 - 5*b**4 - 3*b**4 - b + 2 as l*b**2 + y*b**4 + v*b + w + m*b**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 258*z = 255*z + 1923. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = t + t. Suppose 3 = -9*y + 10*y. Solve -t*u = -y*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*g = 82*g - 50. Calculate the lowest common multiple of g and 232.\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, -98, -5\/4, 71\/2 in decreasing order.\nAnswer: 71\/2, 2, 0, -5\/4, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*n = -2878 + 1078. Which is greater: n or -93?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13.435 - -0.565. Let i = -45 - -32. Let s = q + i. Which is greater: -9 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f**2 - 6*f**2 + 0*f**2 + (4 - 4 + 2*f)*(-f + 5*f - 5*f).\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-842)\/15 + (-20)\/(-150). Let y be (8\/(-14))\/(2\/h). Solve -17 = -x - y for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9\/76 + 5\/38. Let j(r) be the third derivative of 0 - 5*r**2 + 0*r - 2\/3*r**3 - 1\/30*r**5 - g*r**4. Find z such that j(z) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 20*g**4\/3 + 224*g**3\/3 - 4*g**2 - 584*g\/3 + 352\/3 = 0.\nAnswer: -11, -2, 4\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10619 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gn when two letters picked without replacement from ssnssnsdgnggsnn?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 29*w + 73*w + 2227 + 833 for w.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9513 and 126.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a century in months?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - (1\/1 + 1). Let l = 0 - x. Let f = -165 - -168. Which is the nearest to l? (a) 0.1 (b) f (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1075581 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -94*g**3*l - 2*g**2 + 34*g*l + 17*l wrt g?\nAnswer: -564*g*l - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-982 - 395*g + 982)*(-3 + 3 - g) + (-2*g + 5*g - g)*(-3*g + g + 0*g) - 3*g**2 - 2*g**2 + 4*g**2.\nAnswer: 390*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -7*m**3 - 2*m**2 + 9*m - 7. Calculate p(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.80695 rounded to 3 decimal places?\nAnswer: 4.807","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*i**4 - 1400429*i**3 - 9*i + 250965?\nAnswer: 168*i**2 - 8402574*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of 7*i**5\/20 - i**4\/12 + i**2\/2 - 2*i. What is the units digit of s(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 + 4\/2)*(-144756)\/(-60) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3 - 626*v**2 + 1353808*v - 314320296.\nAnswer: -2*(v - 382)**2*(v + 1077)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13515 and 3315?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 702 - 66 = 0. Does 12 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 411\/2*48\/72. Suppose f = d - 65, 3*f + n - 6 = 2*d. Calculate the remainder when d is divided by 24.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17165 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + 88*l**2 + 2*l - 69. Let f(b) = -2*b**3 - 180*b**2 - 6*b + 136. Let u(r) = 3*f(r) + 5*j(r). Find the second derivative of u(t) wrt t.\nAnswer: -6*t - 200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143 is divided by 74.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -12, 18, 74, 162, 288, 458?\nAnswer: 678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141 - 67 - 65 - 54*u**3.\nAnswer: -54*u**3 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of s**3 - 9*s + 3*s + s**3 + 2*s**3 wrt s?\nAnswer: 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -20*d - 302. Let n be h(-15). Let l(g) = -g**3 - 2*g**2 - 4*g - 3. Let j be l(n). Solve 7 = j*b + 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**4 + 704*x**3 + 3946*x**2 - 133848*x - 137088 = 0.\nAnswer: -16, -1, 12, 357","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 897 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 - 76*t + 1629. Let o be j(44). Calculate the highest common factor of o and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -11, 39495, 2, 1, -5 in increasing order.\nAnswer: -11, -5, 1, 2, 5, 39495","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 + 3*i. Suppose 1 = 3*d - 5*a, -5*d + d + a + 7 = 0. Let n be q(d). Suppose -n*x + 59 = -5. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1275\/9 - 8\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of 0*j**3 - 1\/4*j**4 - 1\/20*j**5 + 4 - 2*j**2 + 0*j. Let c(m) be the second derivative of u(m). Factor c(b).\nAnswer: -3*b*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hep when three letters picked without replacement from ehphhphhe.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**32*p*p*p**21)\/(p*p**(2\/93)*p*p**16) assuming p is positive.\nAnswer: p**(-2420\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(25)\/sqrt(5))*4.\nAnswer: -4 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*-2)\/(1*(-80)\/(-8))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 275*r**6 + 3*r**4 + r**3 + 14*r**2 + 205*r.\nAnswer: 33000*r**3 + 72*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0405 and 6?\nAnswer: -0.243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12474 is divided by 260.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -22195, -44402, -66631, -88888, -111179?\n\"Answer: -a**3 - 5*a**2 - 22185*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 2 + 72*z - 3.\nAnswer: 72*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (3\/(444\/53))\/((-30)\/(-15)) and -34\/407.\nAnswer: 3256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 7471110\nAnswer: -2241333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 + 2*f - 2. Let i(t) be the first derivative of -1\/3*t**3 + 10 - 2*t + t**2. What is 5*i(p) - 4*w(p)?\nAnswer: -p**2 + 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 9 - 16 + 3*n + 7. Let g(q) = q**2. Determine g(t(d)).\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**9\/((m*(m*m**(1\/2))\/m)\/m))\/(m\/m**(2\/9))**(-19\/5) assuming m is positive.\nAnswer: m**(1031\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 take away -91.3?\nAnswer: 92.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -108 + 88. Let h = q - -18. Which is the closest to 4? (a) 0.1 (b) h (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27563?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 2)*(-64*f + 403 - 403) + 7*f - 5*f + 9*f.\nAnswer: 75*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of 5*v**3\/2 - 4*v**2 - 40*v - 26. Let g(i) = 10*i**2. Calculate g(a(x)).\nAnswer: 2250*x**2 - 2400*x + 640","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 11\/12 (b) -0.34 (c) -8\/3 (d) -16.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2468 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -78, -272, -728, -1578, -2954, -4988, -7812, -11558?\n\"Answer: -22*t**3 + t**2 - 43*t - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3*a**2 + 0*a + 6*a - a**2 - a**2 - 4. Let m be b(-7). Let s(x) = -2*x + 2. Let y be s(m). What is the second biggest value in 0.1, y, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -6*k**2 + 27*k - 10. Let m be q(4). Let u = -18 - -13. Which is the biggest value? (a) m (b) u (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -4*l + 56, 2*l - 30 = -4*j + 20. Let p = 20 - l. Suppose -p*t + 394 = -3923. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 + -12. Suppose 21*p = 5 + 79. Let b be (-1 - (p - 0))\/((-2)\/4). What is the highest common divisor of b and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 12:53 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 38\/5*(-4 + -1). Let o = 9 - h. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 998*y + 60*y**2 + 2 + 578*y - 47 - 1041*y = 0. What is y?\nAnswer: -9, 1\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 290 is divided by 61.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 7*r**2 - 28*r + 5. Is d(6) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3939 and 3014547.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4123*n = -2*u + 4118*n + 33, 0 = 13*u + 5*n - 22 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 500 and 250.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3*u = 1, 25*z - 3*u + 5 = 20*z. Let v(s) be the first derivative of s + 1. Let l(m) = 2*m + 3. Give z*l(g) + 3*v(g).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 273 * 379\nAnswer: 103467","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 9 = -21. Solve -2*w + z + 7 + 1 = 0, -d*w - 3*z = -16 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/4, 4, -120.4 in ascending order.\nAnswer: -120.4, 5\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -8*q**3 + 57*q**2 - 312*q + 1554. What is b(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 15*p + 1023. Calculate m(-68).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.092 - -225.908. Let u = 221 - m. Sort -2\/13, u, -9 in increasing order.\nAnswer: -9, u, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 + 8*a + 11. Let d(h) = -h**2 + 6*h + 2. Let t be d(6). Suppose 32 = -0*n + t*n. What is the remainder when w(-11) is divided by n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4386278285 to the nearest integer?\nAnswer: 1637","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.58173 + -1.591. What is f rounded to 3 decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000408864177 to 6 dps.\nAnswer: -0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 - 5 = 4*s - 3*h, -5*s + 2*h = -6 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -124 divided by 2.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 t when three letters picked without replacement from {o: 4, a: 2, t: 1, q: 8}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21421*l**2 + 10707*l**2 + 10716*l**2.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 54 - 51. Let z(g) = 2 - 4*g**3 + g**2 - 5*g**2 + 0*g**2 - a*g + 5*g**2. Let r(v) = -7*v**3 + v**2 - 5*v + 3. What is -3*r(l) + 5*z(l)?\nAnswer: l**3 + 2*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 21*z - 12. Let t(a) = -22*a + 11. Let h(x) = -6*o(x) - 5*t(x). Find the first derivative of h(d) wrt d.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 3. Let m be -2*p\/(-6) - -18. Suppose -m = -4*w + 21. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, y: 1, m: 4}. What is prob of picking 2 s, 1 m, and 1 y?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nfej when four letters picked without replacement from {f: 1, e: 2, j: 2, n: 1}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 27 - 39. Solve 4*d = -v*s + 12, -s + 2*d - 2 = -2*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 160550 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r + 6. What is h(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 4) in base 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 4) + -3 + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 49 and 1302.\nAnswer: 9114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 176542693 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27026674?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10149 - 1574 = 117*x - 20147 for x.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + 1111?\nAnswer: 1102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/(-15)*15\/2. Let o be ((-2)\/6)\/((-2)\/q). Which is the third biggest value? (a) 0.7 (b) o (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1515 less than -1516?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5 - (5 - -62)) + -2. Let x = 100 + v. Suppose 5*z - 46 = -x. Solve -2 - 2 = h + z*m, 3*m + 3 = -h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-6)*d*d**(-2\/9)\/d)\/((d**(-6\/5)*d)\/d**(-1))*(d\/(d*d**5\/d)*d*d\/(d**1\/d))\/((((d\/(d**(-2\/7)*d))\/d)\/d)\/(d\/(d\/(d\/d**7))*d)) assuming d is positive.\nAnswer: d**(-3877\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53111.\nAnswer: 173, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 32377520 a multiple of 280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 1081 + -445. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 0.5 (b) 2\/9 (c) 33 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15*(30\/105 + (-1)\/(-21))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f + 4. Let t(c) = -12 - 5 - c - 4*c. Let j(h) = -9*a(h) - 2*t(h). What is the derivative of j(s) wrt s?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*k = -78 + 22 - 61 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 + 2*h**2 + 3*h + 4. Let s be ((-3)\/(-9))\/((-1)\/(-9)). Let v be c(s). Find the first derivative of 8*p - 4*p + v - 3 wrt p.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9.1 - -9.5. Suppose 12 = 5*l - 13. Which is the closest to -3? (a) d (b) l (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 5*x = -1 + 11, -3*o = -3*x - 6. Suppose -f = 5*h + 13 - 20, -f - 2*h + 4 = o. Let j be (1 + 1)*1\/1. Solve 2*s + 2*p = 0, s - j = -f*p + 3 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 159967 - 1?\nAnswer: 159966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*(o**(5\/2)\/o)\/o*((o**(10\/9)*o)\/o)\/o)\/(((o\/(o\/(o**(3\/14)\/o)))\/o)\/(o\/o**(1\/3))) assuming o is positive.\nAnswer: o**(256\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 443837 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -632477\/40 - -15812. Sort 6\/11, c, -1\/12.\nAnswer: -1\/12, c, 6\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 30 = -121. Suppose 5*u - 39 = j. What are the prime factors of u?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 78098?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6185.173um?\nAnswer: 0.6185173","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - r - 32, -3 = 5*i + 3*r - 47. Are 3\/10 and i non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - 3*c**2 + 4*c - 4. Let t be a(-5). Let s = t - 5. Let w = -19 + s. Solve -m = w + 2 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -348*y - 784*y + 50*y - 354*y as s + m*y and give m.\nAnswer: -1436","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 - -12)*-1 + -2. Let d be 12\/i*(-12)\/36. Which is bigger: d or 0.02?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -9. Let n = 0.63 + -0.33. Let r be 2\/2 - (-70)\/(-56). Which is the second smallest value? (a) n (b) k (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15281091, -15281092, -15281093, -15281094?\nAnswer: -15281095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -13*a**3 + 2*a**2 + 2*a. Let f(o) = 25*o**3 - 5*o**2 - 5*o - 1. Give -2*f(g) - 5*v(g).\nAnswer: 15*g**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.084, -0.4, 570.8, 2?\nAnswer: -0.084","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 697010 is divided by 697001?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a hour in minutes?\nAnswer: 70","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3455671571 to the power of 1\/6, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2220, -4945, -7674, -10407, -13144, -15885, -18630?\n\"Answer: -2*c**2 - 2719*c + 501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.4 bigger than -3\/227?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {h: 4, k: 2, p: 2, b: 2, y: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7349 + 7385. Let q(v) = -11*v - 3. Let p(x) = -x - 1. Let o(t) = -6*p(t) + q(t). Let k be o(-7). Is k smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 893 and 1448963.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.104 less than -3?\nAnswer: -2.896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + -542801?\nAnswer: -542786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 4*u + 4 = 0. Let j be (3\/(-6))\/((-2)\/(-16)). Let p = -6 - j. Put p, 3, u in descending order.\nAnswer: 3, u, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 4*j**2 - 2*j - 4. Let a(w) = -13*w**2 + 7*w + 13. Let u be (1\/(-3))\/(2\/(-24)). Suppose -n - u = 3. Let i(g) = n*s(g) - 2*a(g). Factor i(k).\nAnswer: -2*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/((j\/(j\/j**(-13)))\/j*j*j*j))*j*j\/j**(-7)*j)\/(j**(-1\/13)*j*((j\/j**7*j)\/j)\/j) assuming j is positive.\nAnswer: j**(66\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 34\/35*-1 + (-12)\/(-21)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 i when two letters picked without replacement from ttitiitiititi?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 482 + -4. What are the prime factors of h?\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14628 and 9752.\nAnswer: 29256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 7 - 1)*(3278 + 0*b**3 - 52*b - 3279 - 2*b**3) to w*b + n + f*b**3 + o*b**2 and give f.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3728, 7284, 10840?\n\"Answer: 3556*n + 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 3*k + 25 = 0, 11 = -5*h - 4*k + 81. Suppose -3*g = -5 - 1. Suppose -j + g = -2. Calculate the remainder when h is divided by j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + 3)*(-2)\/4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, q: 2, z: 2, d: 2, j: 1}. What is prob of picking 1 f and 1 j?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1406833*i - 762*i**2 - 1406833*i)*(2 - 1 - 7) to f*i**2 + b*i + k and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17122.182 months to decades.\nAnswer: 142.68485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -94 - -32. Let t = r + 96. Is t a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1036 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m**3 + 11*m**2 + 12*m - 18. Let o = 21 - 25. Let z(n) = 7*n**3 + 23*n**2 + 24*n - 36. Let h(t) = o*z(t) + 9*d(t). Does 7 divide h(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 513679 and 41?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2520 a multiple of 140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((27\/6)\/9*-12)\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 342527 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r. Let v = 4 + -5. Let h be (-1 + v)\/(3\/(-6)). Let j(k) = 4*k + h*k**2 - 4*k - k**2. Calculate j(z(b)).\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1276 and 159181.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/16*(40\/18)\/((-414)\/(-621))?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3e72 (base 15) to base 8\nAnswer: 32106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k**3 + 9*k**2 + 9. Suppose 11*p = 12*p + 4. Let u = -29 - -38. Let b(w) = 2*w**3 - 2*w**2 + 4 - w**3 + 6*w**2. Determine p*i(o) + u*b(o).\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (92\/(-161))\/(20\/(-42))*20\/156.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -53667*t*y**3 + 36382996*t + 21*y**3 - 7*y wrt y.\nAnswer: -161001*t*y**2 + 63*y**2 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*r - 4 + 8 - 4.\nAnswer: 32*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 397 = 339*m - 116*m - 272 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -22*k - 108. What is the remainder when m(-7) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2788\/1055 or -2?\nAnswer: -2788\/1055","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115676*v**4\/5 + 578514*v**3\/5 + 810402*v**2\/5 + 347966*v\/5 + 402\/5 = 0. What is v?\nAnswer: -3, -1, -67\/57838","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**8\/(x*x*x**(-9)) assuming x is positive.\nAnswer: x**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 44 - 31. Suppose 2*m = 3*j - 8 - x, 0 = -m + 3. Solve 5*b = 2*b - j for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -1 + -1 + (-8 - (-12 + 6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n**2 - 5*n - 6. Let h(y) = -2*y + 5338*y**2 - 5335*y**2 - 4*y - 7. Give -6*h(i) + 7*r(i).\nAnswer: -4*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 5:09 PM?\nAnswer: 3:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2793 (b) -3\/5 (c) -48\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1\/437640755 + 298593534321217\/80088258165. Let d = m - 24717\/305. Let p = d - 3645. Calculate the common denominator of -55\/6 and p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00013 rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*a + 1253 + 333 - 410 = 0 for a.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7246507 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 6*x - 1. Let t(g) = -3*g - 29. Let m(d) = d + 14. Let n(l) = -5*m(l) - 2*t(l). Let y be n(11). Calculate w(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rt when two letters picked without replacement from {r: 1, x: 1, d: 8, t: 1, y: 9}?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/(-4))\/(3\/(-18)). Let t = 10\/21 + 4\/21. Let d = 0 + -3. What is the nearest to d in b, -5, t?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 66213.558ms?\nAnswer: 0.000766360625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39053\/18 - -2164. Find the common denominator of i and 97\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 - -10101100110110?\nAnswer: 10101100101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i**2 - 7*i - 42*i - i**3 + 19*i + 21*i + 6*i**2 - 4. Determine q(8).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-2)*2202\/45. Let d(o) = o**3 + o**2 + o + 73. Let p be d(0). Let h = p + r. Which is the nearest to -1\/5? (a) -3 (b) -0.3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 + 68. Suppose 2*x + 90 = -f. What is x rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 2*x + 45, x - 33 = 4*a + 156. Let o = a - -75. Suppose -204 - o = -4*f. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 54.3053mm?\nAnswer: 0.0543053","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*w**4 + 28*w**4 + 5996*w**3 + w + 6 - 5966*w**3 as d*w**4 + i*w**3 + c + o*w**2 + h*w and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11892946 to the nearest integer?\nAnswer: 3449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 23430666 (base 8) to base 10\nAnswer: 5124534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f**3 - 4*f**2*p**2 - 18*f**2*p + 628*p**2 wrt f.\nAnswer: 3*f**2 - 8*f*p**2 - 36*f*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 5 + 0)*(-o**4 + 3*o**3 - 3*o**3 - 2).\nAnswer: 10*o**4 + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.8 - 109094.\nAnswer: -109093.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + 0)*(-8)\/(-28). Suppose -3*s - 2*h - 36 = -2*s, 0 = 4*s - 4*h + 84. Let l = -402 + 402.2. Sort s, l, v.\nAnswer: s, v, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 3*a, 5*a = 5*r - r. Is -4\/3 not equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61849208816 less than 0.0366?\nAnswer: -61849208815.9634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (1 + -4)*1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = -4*c + 4*b, 5 = 4*c + 2*b + 69. Let s be 24\/c*228\/(-9). Let p = 96 - s. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 62*n**2*s**3 + 6*n**2*s**2 - 31980*n**2*s + 28894*s**3 wrt s.\nAnswer: 372*n**2 + 173364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12 + 317433040.\nAnswer: 317433052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.95 + 6.8. Let q = g + 3.7. Round q to zero dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2*b = 10, b + 27 = 5*n + 10. Suppose -7*w + 2*w = 4*j + 5, n*w - 5*j + 3 = 0. Is 0 at most as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2. Let a(h) = -558 + 558 + 438*h - 31*h + 656*h. Give a(o(s)).\nAnswer: 1063*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00296696798 to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -0.4 (c) -8 (d) -0.15 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -447112, -447101, -447080, -447049, -447008, -446957?\nAnswer: -446896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-3 + sqrt(847) + -2 - (sqrt(847) - (sqrt(847) + -5*sqrt(847) + 0)))*-1)**2 + -3 + 5.\nAnswer: 3960*sqrt(7) + 122195","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-240)\/(-16)*1\/3. Calculate the highest common divisor of 15 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 + 14 = -3*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 50*a**3 - 290*a**2 + 135*a - 35. Let v(c) = -3*c**3 + 17*c**2 - 8*c + 2. Let x(g) = 2*p(g) + 35*v(g). Factor x(z).\nAnswer: -5*z*(z - 2)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 48 = -v - 151, 527 = -3*v - q. What is the remainder when 2 + (-8)\/(-10) + 1305\/25 is divided by ((-4)\/6)\/(4\/v)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -13b77b?\nAnswer: 13b779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37 - 40. Let k be r - (2 - -2)\/(-2). Let m be (-1)\/3 - (-1)\/5. Is m bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - -11 - 16 - (-51 - -61)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, d: 11, z: 2, n: 2}. What is prob of sequence dzz?\nAnswer: 11\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -41*x - 6*x**4 + 16*x + x**2 + 2*x**3 - 4*x**3 + 22*x to the form y*x**2 + j*x + d*x**3 + h + u*x**4 and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7195*v = -4723*v - 135960 for v.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 PM and 4:41 PM?\nAnswer: 151","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 9 + 47 = -7*o + 2*o + 8 - 16, 0 = -14*o + 3*i - 96 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -955 = -112*b + 117*b. Let j = 195 + b. Solve -j*g = 7 + 1 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -1.8 (c) -4 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6603*h = -6567*h + 828 for h.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(68)*2 + -2 + -2*sqrt(68)*-4)**2.\nAnswer: 80*sqrt(17) + 6804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u**2 - 9*u**2 - 10*u**2.\nAnswer: -19*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 11 = -2*s, 2*s + g = 5*g + 24. Suppose 0 = 10*o - 9*o - s. Suppose -o*v + 63 = 5*v. What is the least common multiple of 5 and v?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of -47\/12*p**4 + 0 + 0*p**2 + 7\/20*p**5 + 45*p + 0*p**6 + 2\/21*p**7 + 0*p**3. What is the third derivative of k(b) wrt b?\nAnswer: 240*b**2 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 9132867, 36531548, 82196017, 146126274, 228322319?\n\"Answer: 9132894*f**2 - f - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36658 - 20417. What is the thousands digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5525?\nAnswer: 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 58305009 and 9115?\nAnswer: 291525045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2811, -2810, -2807, -2802?\n\"Answer: i**2 - 2*i - 2810","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(12\/13)*n**(-2\/3)*(n**10\/n)\/n**(6\/11))**(9\/7) assuming n is positive.\nAnswer: n**(1446\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5\/32 - -1\/32. Let g = -4.833 + 5.033. Which is the fourth biggest value? (a) 0.1 (b) g (c) t (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*i**6*s + 11665*i**6 + 2*i**2*s + 78*i - 3*s + 2 wrt i.\nAnswer: 840*i**3*s + 1399800*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3492157482563 + -3.\nAnswer: 3492157482560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3073 - -10549. What is the hundreds digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u**2 + 3*u - 3. Let f = -6 + 4. Let y be f\/((-1)\/(14\/4)). Suppose -4*o + y = 19. Give q(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -388838 + 0*k - 107927 + 8*k - 6*k.\nAnswer: 2*k - 496765","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2 - 13650432*r - 177456123.\nAnswer: 3*(r - 4550157)*(r + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/((-4*sqrt(121) + sqrt(121) - sqrt(121) - sqrt(121))\/sqrt(11)).\nAnswer: -sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50 - (-33 + -4 + 9).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 25\/(-35)*1064\/(-190)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k**5\/2 - 3*k**4\/2 - 3*k**3 + 14*k**2 - 12*k = 0. Calculate k.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z + 13. Let d(w) = -4569*w**2. Give u(d(s)).\nAnswer: 9138*s**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 18*d. Let f(x) = -x. Suppose 31*o = 23*o + 48. Give o*v(r) + 102*f(r).\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 148?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + 6*t + 4. Let k be (-2)\/3*759\/(-46). Suppose -5*l - k = -6*l. Calculate the smallest common multiple of j(5) and l.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/9*(-9)\/21)\/1.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 4*t - 21. Let f = -216 - -219. Suppose -83 - 88 = -f*c - 3*b, -6 = 2*b. Calculate the remainder when c is divided by t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**4\/3 - 11*a**3\/3 - 31*a**2\/3 - 7*a = 0. Calculate a.\nAnswer: -7, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f**3 + 15*f**2 + 6*f + 16. Let k be (-4)\/10 - 204\/(-10). Suppose -18*l - 16 = -k*l. Let x be j(l). Solve t + 4*q = x, -4*q - 6 = 4*t - 18 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -293 - -305. Suppose 37*j - 300 = u*j. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from cxcccx.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 3 (c) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1112.2113 + 1112. What is p rounded to two dps?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1107*a**3 + 1112*a**3 - 2216*a**3.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 11*a + 6 = 0. Let o(k) = -12*k - a + 1 + 14*k. Let s(x) = -x + 2*x - 3*x - 6*x. Give o(s(c)).\nAnswer: -16*c","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 8*t**2 + 6*t + 8. Suppose 2*i = -0*i - 6, 72 = 3*h - 2*i. Suppose -11*l + 231 = h*l. What is u(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 + 2)\/((-5)\/(-2671)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-2\/5))\/z)**(-40)\/(z**(-6)\/(z*z**6\/z)) assuming z is positive.\nAnswer: z**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gsslmmbggglmggbb. What is prob of picking 1 b and 2 l?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of -l**2 + 8*l - 1. Let j = -15 + 15. Let i = j + 6. What is q(i)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000016389052 to 7 decimal places.\nAnswer: -0.0000164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2043259126.\nAnswer: 2, 19, 761, 70657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/((-1419)\/(-86))*((-9288)\/(-16))\/(-9)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4218792659?\nAnswer: 137, 30794107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 + (10\/3 - (-18)\/27). Let i(q) be the second derivative of a*q**3 + 0 + 0*q**2 + 0*q**4 - 2\/25*q**5 + 1\/75*q**6 - 2*q. Suppose i(k) = 0. Calculate k.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -344836189 plus -287.7?\nAnswer: -344836476.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 d when three letters picked without replacement from {x: 4, z: 1, d: 2, w: 1, k: 1}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9689290 and 37960?\nAnswer: 9490","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1257 by 419.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -0.048, -1, -3, 12?\nAnswer: -0.048","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 0 - 2) + (-672 - -650) - 83\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 403 + 115. What are the prime factors of s?\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rvv when three letters picked without replacement from rwrwswwluvllwvv?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*0\/(3 - 2). Suppose -1952*y - 3376 - 4432 = 0. Put 5, -3, y, k in increasing order.\nAnswer: y, -3, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 5:46 PM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4639.647ng in kilograms?\nAnswer: 0.000000004639647","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -5*u + 3 + 2*u + u. Is z(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138*t - 108 = 135*t. Which is smaller: 0.1 or t?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 + -9. Suppose r + 2*r + p = -12, -2*r = 2*p + 12. Let h be (-1)\/(0 + -2 - -1). Sort r, b, h in increasing order.\nAnswer: r, h, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 2*c + 9 - 1 = 0, -4*x + 8 = -3*c. Suppose 0 = -5*f + 18 - 3. Solve x = -f*v - 7 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 218728\/295 or 741?\nAnswer: 741","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + d**2 + d + 17. Let a be x(0). Let w = a - -3. Suppose 42*f - 366 = 306. What is the least common multiple of w and f?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 62 - 42. Suppose 0 = -3*i + 4*j + o, -i = 3*i - 4*j - 20. Let m(w) = -4*w + i*w - 3 - 4 + 5*w. Determine m(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4486 and -3.\nAnswer: 13458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -34 in 0.5, 1\/5, -1\/5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(8364\/(-102) + 43)?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - n = -36, 3*y + 2 = 5*n + 46. Calculate the lowest common multiple of 4 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.4, 2\/7, -7515\/19, -8, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 + 9*p - 5. Suppose 97*r - 110*r = 104. Give m(r).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 23 = -5*i, 7*q + 5*i = 2*q + 20. Let x = 4 + q. Solve -f = -x*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -379306225 divided by 717025.\nAnswer: -529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + 7)\/((-12)\/6). Let a(j) be the second derivative of -j**3\/6 + 7*j**2\/2 + 2*j. Let n be a(v). Which is bigger: n or 10?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -77. Let d = 21803.70914212 - 21870.70914. Let w = n - d. Round w to seven dps.\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 133325?\nAnswer: 133326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21 and 80346.\nAnswer: 80346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 0.1, 2\/5, 4, -1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(528)\/(-1*sqrt(12)))\/sqrt(11))\/(1*sqrt(128) - (sqrt(16) - (sqrt(16) - (sqrt(144) - sqrt(16))))\/sqrt(8)).\nAnswer: -sqrt(2)\/6 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14540, -29071, -43598, -58121, -72640, -87155?\nAnswer: -101666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = 15*o - 72. Let h(w) = -28*w + 8. Let q be h(-9). What is the highest common divisor of o and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -2*p - 16, -2*p - 3*p = 4*g - 6. Suppose 3*f + g*z = -1, -f + 4*z - 2*z = -13. Does 2 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 10 = -143*o + 147*o, -3*r = -4*o - 18 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 308 divided by 4\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -158 + 161. What is the fourth smallest value in 0.1, -0.1, n, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2166.4725 to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 31735?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637) + (-6*(sqrt(637) + 4 + sqrt(637)) - sqrt(637)))**2 + 4.\nAnswer: 4032*sqrt(13) + 92308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 7*g = -9. Suppose -6 = g*q + 30. Let f(j) = j**2 + 8*j - 1. Let b be f(-8). Sort -6, q, b.\nAnswer: -6, q, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2\/((-8)\/(-2)))\/(15\/4890)?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 - 67\/3. Which is greater: 13 or m?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - ((27 - 8) + -61 + 50)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -52?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -3*v - 65. Let g be u(-20). Put g, 5, -2\/9 in decreasing order.\nAnswer: 5, -2\/9, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 - -2035) + (-6 - -8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1561457 - 5*p - 126*p**2 - 1561457 to u + o*p**2 + q*p and give o.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.3, -2\/17, 1374?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -5*z**2 - 91645*z - 2653500 = 0.\nAnswer: -18300, -29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = y - 5*v, -3*y + 4*v + 32 = -1 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 + -22.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 - 11*x - 86. Let j be m(-8). Suppose -8 - 102 = -5*r. What is the greatest common factor of j and r?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 926 is divided by 916.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -3*a - 6. Let i be s(-5). Let u be (-5)\/3*i*(-4 - -3). Suppose 0 = -5*d - u, -d + 5*d = -5*o + 1368. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -71, -138, -215, -308, -423, -566, -743?\n\"Answer: -f**3 + f**2 - 63*f - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/59, -4, 1, 2?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 less than 0.1?\nAnswer: -25.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 + -22.28. Let w = p - 0.22. Let l = -585\/7 + 1149\/14. What is the third biggest value in w, -1\/8, -1, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 111, 3, 5, 9, -1 in increasing order.\nAnswer: -1, 3, 5, 7, 9, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9177\/(-35492) + 3\/(-72)*-6 and -58\/1401.\nAnswer: 1401","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -377*s**3 + 156?\nAnswer: -1131*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 e, and 1 d when three letters picked without replacement from uddvevvvv?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -33796\/15 - -2254. Let k = -189 - -2837\/15. Let o = q - k. Is o smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-9)*(-3)\/24*2.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 330 = 4*m - 9*m. Let d = m + 329\/5. Let j = -6.704 + 6.704. Which is the nearest to 0? (a) j (b) -1\/7 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of -l**6\/70 - 6*l**5\/35 + 19*l**4\/28 - 5*l**3\/7 - 6*l - 12. Determine c so that h(c) = 0.\nAnswer: -10, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -48? (a) -3 (b) 25 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -857110520, -857110521, -857110522?\nAnswer: -857110523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f - 1. Let h(i) = i - 4. Let n(o) = -h(o) - 2*q(o). Suppose -4*w - 30 = -5*u, 0 = 4*u - 5*w + 3*w - 24. Let y = u + -12. Determine n(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 170.025 kilograms?\nAnswer: 0.170025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1797107?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) -3\/4 (b) -2 (c) -3 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5074.6525 minus 99?\nAnswer: -5173.6525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7789016377 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -239280532269300*g - 3 + 239280532269301*g + 3.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 5*s**3 + 2*s + 9. Let r(j) = 2*j**3 + j + 4. Let u be (-10)\/15 - (-46)\/6. Let m be 2\/(-8) + u\/(-4). Let n = 6 + m. Determine n*b(l) - 9*r(l).\nAnswer: 2*l**3 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*l - 32*l - 12 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 843, -6, 21, 23, 0, -3 in decreasing order.\nAnswer: 843, 23, 21, 0, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/((k*k**(-2\/23))\/k)*k**8)**8)**(2\/117) assuming k is positive.\nAnswer: k**(3344\/2691)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16247, -32491, -48735, -64979?\nAnswer: -81223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 - -15. Suppose z = 3*u + s - 7, 4*s - 20 + 8 = -4*u. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 179829 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 280 and 24?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 5*t + 86 = 0. Let q = t - 27. Suppose -80 = -5*i + r, i + 3*r + q = 2*i. What is the lowest common multiple of 32 and i?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 6*h**2 + 6*h + 1. Let p be a(-5). Let t be 2\/(-4)*((-14)\/(-7) - 2) - 1. Put p, -7, t in descending order.\nAnswer: t, p, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*a = 30*a - 696. Does 12 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.968*-0.048\nAnswer: -0.046464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 6:27 PM?\nAnswer: 2:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 189, 119, 49, -21, -91?\nAnswer: -161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 229.2412ml in litres?\nAnswer: 0.2292412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y - 6. Let n be ((-1)\/2)\/(51\/(-306)). What is h(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1961.9 + -2297.85. What is x rounded to the nearest ten?\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1100010101111011 (base 2) to base 13\nAnswer: -1a01b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4978236105?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -2\/5, -927, -2, -3, 3 in decreasing order.\nAnswer: 10, 3, -2\/5, -2, -3, -927","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21.03 + 16.03. What is the third smallest value in 4, 0.5, w, -1\/2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (296\/(-18))\/(-2) - (-16)\/(-72).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*n - 9*n + 210. Let v = 48 - 13. What is the remainder when v is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/7052 and -29\/902.\nAnswer: 77572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03 * -14.7.\nAnswer: -0.441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.003194206 to 4 decimal places.\nAnswer: 2.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 f when two letters picked without replacement from {p: 1, a: 1, x: 3, f: 2, v: 3, c: 3}.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2199 - 2175 - ((91 - 2) + 0)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7113781 or -7113751?\nAnswer: -7113781","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - -22. Suppose -18 = -s*g + 2*g. Suppose 10 + 2 = g*v. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 54.77 + -54. Let r = n + -0.07. Let z = r + -0.7000081. What is z rounded to 6 dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-256)\/198 + 24\/132. Let u = 0 + -1. Which is bigger: m or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/42 and -64\/39?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5331109879 to the nearest integer?\nAnswer: 1747","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 432449\/40 - 10809. Calculate the common denominator of r and -33\/56.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*f**2 + 0*f**2 + 2*f**2 + (12*f + 4*f + f)*(3*f + 0*f + 0*f + 2) as g*f + u*f**2 + s and give g.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4*l = 7*v + 5193, 0 = -5*v + 5*l - 5220. Is v at least -1043?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -31\/5. Let a = 164 - 154. Let p be (4\/(-6))\/(a*(-7)\/42). Is i greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10100110101001010111 (base 2) in base 7?\nAnswer: 5542016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j + 9. Give c(10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2483386 (base 9) to base 11\nAnswer: -845377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4\/635 (b) -3 (c) 0 (d) 0.5 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 87.5 times -5.49?\nAnswer: -480.375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 192767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of -d**6\/210 - d**5\/105 + 5*d**2 + 69. Let h(n) be the second derivative of c(n). Factor h(g).\nAnswer: -4*g**2*(g + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 3 + -1 - (464 - 459).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8111 is divided by 3989?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4111345 to the nearest integer?\nAnswer: 2028","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 36640719440 and 42?\nAnswer: 36640719398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4433 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(18) - sqrt(450)*2)\/sqrt(9) + sqrt(2)*2 + -2 + 1*sqrt(2)*-2 + 3.\nAnswer: -9*sqrt(2) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.08 - 9.08. Let t = -12 - x. Sort -2\/13, t, 4\/5 in increasing order.\nAnswer: t, -2\/13, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/56)\/(7 + -1812 - 3). Let w = -3315857\/1518720 + i. Find the common denominator of w and -71\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 339*g = 341*g + 9, p = 3*g + 11 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 768387 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d**2 - 2*d - 5. Let i(r) = 2*r**2 - 9*r + 10. Let u(n) = -2*n**2 + 12*n - 11. Let f(m) = 5*i(m) + 4*u(m). Give -6*b(t) - 5*f(t).\nAnswer: 2*t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 450396.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -111011011 (base 2) in base 14?\nAnswer: -25d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-9)\/(-18))\/(26*(-1)\/(-92)). Let x = 447\/91 - l. Solve 0 - x*f**2 + 38\/7*f**3 + 6\/7*f**5 - 26\/7*f**4 + 4\/7*f = 0.\nAnswer: 0, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 15 (b) 28 (c) 1\/6 (d) 1\/4 (e) -0.05 (f) -215\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 6*r + 2. Calculate the least common multiple of n(2) and 18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -5. Suppose -y - 4 = p. What is the units digit of (1 + 0)\/((-2)\/y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 PM and 6:45 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + -14434455050?\nAnswer: -14434455055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5 + 2 + (27 - 19). Let r(k) = k**2 + 4. Let v(n) = n**2 + n + 5. Let x(u) = 6*r(u) - 5*v(u). Determine x(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32\/(-144)*(-10857)\/(-28) - (-7)\/6.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -119295585 divided by 6278715\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -590, -597, -608, -623, -642, -665?\n\"Answer: -2*z**2 - z - 587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 444144420 and 7740.\nAnswer: 7740","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.92 - -0.08. Let o = 161 + -156. Put f, o, 2\/7, 0.5 in descending order.\nAnswer: o, f, 0.5, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -155*t**4 + t**3 - 18*t**2 - t + 658 wrt t.\nAnswer: -1860*t**2 + 6*t - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.4 - -0.35. Let a = -0.05 - m. Is a less than or equal to 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.4 - 0.4. What is the biggest value in q, 3, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -7*q - 5. Let l(i) = 57*i + 39. Determine 33*a(g) + 4*l(g).\nAnswer: -3*g - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*w - 21*w = 7416. What is the hundreds digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8214737 to the power of 1\/2, to the nearest integer?\nAnswer: 2866","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12642 is divided by 1411.\nAnswer: 1354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 245.2966 litres?\nAnswer: 245296.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/(-5))\/((-18)\/(-5) + -4). Suppose -j = 2*a + 3362 - 9036, -o*a + 5676 = j. Round j to the nearest 100.\nAnswer: 5700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 59 + -41. Let y(a) = -a**3 - 4*a**2 - 3*a + 2. Calculate the least common multiple of y(-3) and (-4)\/n - 1456\/(-72).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -1 - (-18 + 19)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2777.8862 take away -4?\nAnswer: -2773.8862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 3*m**3 + 201*m**2 - 6*m - 64. What is the remainder when a(-67) is divided by 166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 12, -1, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 + 8*l + 49. Calculate h(12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28 + -17. Let u be 2\/d + (-76)\/176. What is the nearest to u in 0.1, -4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*j + 4*o + 161468 = -86*j, 0 = -5*o + 40. Is 68 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 86, 0, -30, 7, 1, -3 in descending order.\nAnswer: 86, 7, 1, 0, -3, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + -1 + (22 + 7 - 38) + -6?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 876?\nAnswer: 4380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00053290196 rounded to seven dps?\nAnswer: -0.0005329","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 - 22. Which is the second biggest value? (a) 1\/9 (b) k (c) 0.3 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/7? (a) -4 (b) -0.06 (c) -0.1171 (d) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xtt when three letters picked without replacement from {x: 7, q: 2, g: 1, t: 10}.\nAnswer: 7\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-18))\/((-1)\/15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9508088 is divided by 1598.\nAnswer: 1586","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33*2.12.\nAnswer: 69.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.267458181 take away -24.14?\nAnswer: 23.872541819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -441*a + 2268 = -405*a. What is the greatest common factor of a and 987?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 748680 and 34680?\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2175\/17 - -128. Suppose -4 + 0 = -4*k. Which is greater: k or w?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(1\/((-2)\/(-8))). Suppose 0 = -3*v - 2*v + 20. Let s = 10 - 6. Solve v*t + u = -s for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1991 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41710 is divided by 2952?\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -105*g - 25. Let r(a) = -13*a - 3. Calculate -3*i(n) + 25*r(n).\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 416, -3, 20 in descending order.\nAnswer: 416, 20, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26359 and 387?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/(-2))\/(2\/8). Let i = 169.09 - 170. Let z = i - 0.09. What is the nearest to 0.2 in 5\/2, u, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1668309*n**2*o + 109*n*o - 3*n + 2*o + 70 wrt n?\nAnswer: 3336618*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1193081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 1454*s**2 - 29083*s + 58. Give q(20).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1626598835 to the power of 1\/5, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-6 - -18) + 6?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eo when two letters picked without replacement from geogo?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/21 - 22329\/28. Let z = r - -793. Find the common denominator of z and -8\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 643460?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -86 or 91520?\nAnswer: -86","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f. Let v = 183 + -56. Let w(r) = -v*r + 3*r**2 + 127*r. What is w(k(h))?\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 3 y when four letters picked without replacement from {a: 1, r: 1, u: 1, y: 5, w: 1}.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/30 of a hour in minutes?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/32)\/((-3)\/(-36) + 0). Let b(a) = -a + 4. Let k be b(-4). Suppose -25 = -k*w + 3*w. Solve -w*n = l - 21, d*n = n - l + 9 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**4 - 48*v**3 + 222*v**2 - 168*v - 441.\nAnswer: 3*(v - 7)**2*(v - 3)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -125, 5, -1202, -1, -8 in ascending order.\nAnswer: -1202, -125, -8, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37*l**2 - 4 + l**3 + 2*l + 39*l**2 - l to the form h + b*l**3 + a*l + t*l**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1387, -1383, -1377, -1369?\nAnswer: -1359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) + (sqrt(187) - (sqrt(187) + sqrt(187)*2 + sqrt(187)) - sqrt(187)) + sqrt(187) - sqrt(187))\/sqrt(11) - ((1 + sqrt(272))**2 + sqrt(17)).\nAnswer: -273 - 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -23, -23, -19, -11, 1?\n\"Answer: 2*m**2 - 6*m - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 184 + -105. Does 14 divide y + 1 - -5*(-4)\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 16) to base 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29034 is divided by 88?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*p = -54*p + 109*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2308 divided by -472\nAnswer: -577\/118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - 14*y**2. Let k be w(14). Let d(t) = -4*t + k - 3 - t**2 + 6 - 1. Let l be d(-4). Solve 5*q = 2*g - 9, -2*q - 2*g - l*g - 18 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-501 - 30)\/(-627 - -636)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/1)\/((-48)\/1344). What is the highest common factor of 2268 and c?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + 12*m**2 - 21*m + 7. Give i(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.231 - 0.231. Which is the nearest to -0.1? (a) i (b) 0.32 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209*h = 212*h + 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*k - 9*k + 9. Solve -y = -5*w - 6*y + 25, 0 = k*y for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1479335?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.15, -0.3, -12\/25, 3752\/17 in increasing order.\nAnswer: -12\/25, -0.3, 0.15, 3752\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1499 is divided by 75.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence swp when three letters picked without replacement from mmuumsupwmuuuwsms.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 10 = 2*r + 4*y, y + 20 = -4*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 458923 and 501813?\nAnswer: 4289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49266473?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-6))\/(j**2*j))**(3\/19) assuming j is positive.\nAnswer: j**(-24\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + 10*h**2 - 4 + 7*h - 5 - h**2. Let b(i) = 2*i**2 - 45*i + 190. Let y be b(6). Determine g(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 0. Let q be (3\/3 - 1)\/1. What is the closest to j in 5, 1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 - 41. Let o = 2574 - 12927\/5. Find the common denominator of k\/(-6)*7 + 1 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 336 = -762. Let q(k) = -3*k**2 - 15*k - 5. Let i be q(-11). Let n = m + i. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/((-2)\/2 - -2). Let r = -91 + 449\/5. Let f = r - -11\/10. Which is the third biggest value? (a) t (b) f (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 340*v. Let p(r) = -23935*r**2. Give c(p(j)).\nAnswer: -8137900*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17 + 11)\/3 - 5) + (-372)\/(-52)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-4)\/o)\/o*o\/(o*o\/o**(-2\/9))*o assuming o is positive.\nAnswer: o**(-56\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3242 divided by 899\nAnswer: 3242\/899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (1 + -9) - -12?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3900*w + 8140*w - 61984 - 17591 = 3179*w for w.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-40)\/(-50))\/(4\/10). Suppose o + 3 = -q, 2*o - 2*q = 1 - 11. Let d = o + 8. Solve -d*b = -5*v + 41, i*b + v + 2*v = 7 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 417? (a) -2\/9 (b) -2.4 (c) -25 (d) -4 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -6*x**2 - 3*x + 7*x + 13 + 8*x**3 - 7*x**3. What is the remainder when s(6) is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*l + 12743 - 10289 - 67263 = -1096*l for l.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1 and -2.384.\nAnswer: -1.384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -3, -80.\nAnswer: -80, -3, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -9571 (b) -4 (c) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -o + 2*o - 1, -5*k + 17 = 4*o. Suppose -5*j + 3*g - 1 + 42 = 0, o = g. Solve -3*p = -j + 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (0 + -6) - (-1 - -5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -4*k - 18, -3*v = -7*k - 2*v - 9 - 20 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -19. Let u = 7 - 10. Is 127\/u*(b - -13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209304876 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (106\/(-12))\/(-1) - 104\/26 and 55\/54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.08092 rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, l: 1}. What is prob of sequence hl?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 355695227 divided by -1.\nAnswer: -355695227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24276 and 404022?\nAnswer: 1734","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-68)\/(-17) - (0 + (3 - 1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 5*t + 4. Let m(w) = 9*w + 7. Let r = 357 - 190. Let g = 97 - r. Let s = g + 75. Calculate s*x(z) - 3*m(z).\nAnswer: -2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + p - 3006 = 0, -2*p + 0*p + 7515 = 5*m. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14432 divided by 16\nAnswer: 902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 1343\nAnswer: -6\/1343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1417\/4 + -29453\/84. Let q = 8790\/7 + -835302\/665. Let v = 6641\/2280 - q. Calculate the common denominator of p and v.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/9)\/2*(-33)\/121?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**3 - 45*p**2 - 50*p + 840.\nAnswer: 5*(p - 7)*(p - 6)*(p + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1836689 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.852 (b) 7 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 4, 1, -3\/5, -5, 35, 9\/446?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a + 7*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 12700?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-4))\/((-20)\/8)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -47210000 rounded to the nearest one million?\nAnswer: -47000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3586 = 7*g + 926. Calculate the remainder when 31 is divided by (-169)\/(-10) + 38\/g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -33*k - 25. Let z(v) = 8*v + 6. Calculate -2*x(j) - 9*z(j).\nAnswer: -6*j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -24 + 1 + (655 - 622)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 4*q = 2. Let o = 22 - 22. Suppose o*m = m - q. Solve -m*h - 1 = -3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -97, -212, -329, -448, -569, -692, -817?\nAnswer: -944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {d: 3, y: 1, r: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2130281*s + 1261*s**2 - 2130280*s + 860*s**2 in the form z*s**2 + b + j*s and give z.\nAnswer: 2121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4703 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-54)*-9)\/(14 - 2)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 11*y + 49. What is the lowest common multiple of (2 - -5) + 0 + -1 and k(-4)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3630 divided by 6\nAnswer: -605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 PM and 9:34 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 2*a - 2*i - 29, -2*a - 5*i = 15. Suppose a*k + 3*h - h - 43 = 0, -h = 1. Calculate the remainder when 16 is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 1258*q**4 - 29*q**2 + 23*q + 4. Let g(f) = -3775*f**4 + 87*f**2 - 77*f - 13. Let o(c) = 13*b(c) + 4*g(c). Find the third derivative of o(u) wrt u.\nAnswer: 30096*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -186*c**3 + 406*c**3 - 10*c - 204*c**3 + 10*c.\nAnswer: 16*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 5:03 PM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 99680\/(-50285) - (3\/(-2))\/(12\/16)?\nAnswer: 2\/113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -100477 - -100473. Let k(u) = -2*u**2 - 8*u - 3. Let c be k(-5). Is m bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 10, m: 1, z: 7}. What is prob of picking 1 t and 1 m?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + m = 23, 3*g - 67 = m + 4*m. What is the highest common factor of 98 and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -119, -479, -1079, -1919, -2999, -4319, -5879?\nAnswer: -7679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5, t: 2}. What is prob of picking 3 w?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 167\/1106 + 5\/79. Which is smaller: 0 or v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 43653*p - 1091331. Give r(25).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 50696*s - 1.\nAnswer: 50696*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2 + 3*y - 5*y + 7*y - y. Give w(6).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -3*x**2 + 94122*x - 738245907 = 0?\nAnswer: 15687","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -56726.9394 rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 353851 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 162*h**2 + 40. Let r(g) = -56*g. Calculate t(r(q)).\nAnswer: 508032*q**2 + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -11*r**3 - r**2 + 2*r - 1. Give u(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/(-6)*3*(-3)\/(-18)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2501919, 2501867, 2501815, 2501763, 2501711, 2501659?\nAnswer: 2501607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/12552309 or -1?\nAnswer: 1\/12552309","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 114*x - 876. What is the least common multiple of 77 and s(10)?\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 7 + 2. Let h be (15\/k)\/((-2)\/2). Suppose m - 6 = -2*g, -m + 0*g = h*g + 6. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1044)\/(-1740))\/((-60)\/9200)?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 169.901 * -113\nAnswer: -19198.813","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1855, 3473, 4719, 5407, 5351, 4365, 2263, -1141?\n\"Answer: -31*d**3 + 1835*d + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.054518102 rounded to four dps?\nAnswer: 0.0545","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2898, 8820, 17772, 29754, 44766, 62808, 83880?\n\"Answer: 1515*u**2 + 1377*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 9*q**2 + 6*q + 165. Let h be o(0). Are h and 2134\/13 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/133)\/((-28)\/196).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -500.93 to the nearest ten.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 936 and 47268?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -333 divided by 9.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1438 - -147?\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 463689181 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -2844363 less than or equal to -2844365?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8824?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/10? (a) 0.62 (b) -0.11 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -104\nAnswer: -31.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h + 2. Let s be a(2). Suppose s = -4*z - 4, 2*d - 3 = d - 2*z. Suppose 5*u - d = 85. What is the greatest common factor of u and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - h = -4. Let w = 5 - h. Suppose -w*o - 8 = 0, 3*o + 751 = -0*n + n. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 AM and 11:40 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 5*b - 9*b. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.18 and 3098?\nAnswer: 3097.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(76)*-3 + -4*sqrt(76) + 3 - (sqrt(76) + (sqrt(76) + -5)*-1 + -1*sqrt(76) + -3))**2.\nAnswer: -96*sqrt(19) + 2752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32797\/6 + 5454. What is the common denominator of 23\/20 and i?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.872 (b) -5 (c) -2\/2327 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b - 4. Let d(w) = 2*w**2 + 185*w - 5. What is c(d(k))?\nAnswer: 4*k**2 + 370*k - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -13, -2, 1, 3 in decreasing order.\nAnswer: 3, 2, 1, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1588 (base 12) to base 15\nAnswer: b52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 438480622 to the power of 1\/3, to the nearest integer?\nAnswer: 760","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*j = 1 + 56 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1070.83112 - 1071. Let x = -0.17 - o. Round x to 4 dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 2*z + 75 + 115, -139 = -3*v - 2*z. Let b = v + -48. Which is greater: b or 2\/25?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -607.7 + 605.6924. Let d = -0.0076 - l. Suppose -5*v = -0*i + 3*i + 8, -4*i - 1 = -3*v. Which is the second biggest value? (a) 0.4 (b) d (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -71, -1, -59\/552 in increasing order.\nAnswer: -71, -1, -59\/552","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -m + 104. Suppose -198 = -2*t + 4*w + w, w = 0. Calculate the remainder when t + 1 - (1 - 0) is divided by m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/32 of a meter?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -3*g. Let m be (-1 - 12\/(-6))*-1. Let t(x) = -2*x - 1. Let u(w) = m*t(w) + 2*z(w). Give u(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 147229?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*q + 26*q = 68. What is the remainder when q is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 108 - 971\/9. Which is the nearest to -0.1? (a) 3 (b) -0.2 (c) -2 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/6, 0.02, 5426, 12, -2\/3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 570787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 863683219 and 863683218 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 9*c**2 - 8*c - 3. Suppose -2*l + 3 + 11 = 0. Let u(r) = 3*r - 14. Let i be u(l). Suppose i*f = 10*f + 24. What is g(f)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/2*-4)\/2. Let t be (-17)\/w + ((-95)\/(-15) - 7). Suppose -t*s + 9 = -1. Sort 3, 0, -8, s.\nAnswer: -8, 0, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5\/2)\/((-2)\/(-48)). Suppose 0 = 5*y - 3*u - 56, -2*u = 5*y - 7*u - p. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 + 11*g + 12. Let c be t(12). Suppose -5*i - k = 35 + 20, 0 = 4*k + 20. Let w be ((-4)\/2)\/(2\/i). Solve 2*f - w + 4 = c for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4 + 9*g**4 - 1 - 5*g**4 wrt g?\nAnswer: 16*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of -7*g**2\/2 + 70*g + 103. Is d(-12) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/73)*q\/(((q\/q**(-1\/5))\/q)\/q*q)*(q*(q\/q**(-2)*q)\/q*q)**(-1\/34))**(-35) assuming q is positive.\nAnswer: q**(-54341\/2482)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-18)\/(-10)*(-250)\/75. Let b(t) = t. Let u(m) = -2*m - 2. Let k(j) = -b(j) - u(j). What is k(w)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1384, -2865, -4346, -5827, -7308, -8789?\n\"Answer: -1481*j + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 147, 288, 427, 564, 699, 832, 963?\nAnswer: 1092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - l**2 - 2*l - 6. Let f = -71 - -68. Let i be t(f). Solve 3*o - 9*o + i = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + 9 + 73 + -61?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 285\/(-950) + (-138)\/(-260).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*d + 594 - 594 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40643507 is divided by 645135.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -13803 + 20?\nAnswer: -13773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.77719 to 2 dps.\nAnswer: 0.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 79457*b**4 - 7*b - 2799 wrt b.\nAnswer: 953484*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of -y**5\/60 - y**4\/3 + 3*y**3\/2 - 2*y**2. Let w be b(-9). Is 39 + w - (6 - 4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 1929.3.\nAnswer: -192.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1781?\nAnswer: 13, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 7, -2\/3, -0.08?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 1)*(-2*s**2 + 1 - 1) - 2*s**2 + 0*s**2 + s**2 - 45 - 13*s**2 + 45.\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -200*(2 + 48\/(-20)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 12998?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/17 + 11\/51. Let f(r) be the first derivative of 1 - a*r**3 + 3*r**2 - r. Determine f(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 112\/1381 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 3\/2)*8. Let y = 3 - d. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 146 - 4*j**2 + 3194*j**4 - 1579*j**5 - 202 - 184 - 3194*j**4 wrt j?\nAnswer: -94740*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -39*n**4\/8 - 753*n**3\/8 - 837*n**2\/2 + 735*n\/2 + 150 = 0.\nAnswer: -10, -4\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of r**5 + 5038463*r**4 - 7*r - 748971?\nAnswer: 20*r**3 + 60461556*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 175 and -0.4?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, c: 1, z: 1, p: 9}. What is prob of picking 1 z and 1 c?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 323 + -171. Is (z\/(-10))\/(32\/(-80)) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1563*-0.5311.\nAnswer: -830.1093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 37 = -35. Suppose 0 = n*y - 160 - 288. Calculate the greatest common divisor of y and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7725153787 to the power of 1\/2, to the nearest integer?\nAnswer: 87893","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/619244 and 69\/22?\nAnswer: 6811684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 553690262?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*b - 4*b + 0*b)*(-b - 4*b + 2*b) + (6*b**2 - 2*b**2 - 3*b**2)*(1 + 3 + 1) + (14 - 14 + 5*b)*(2*b + 1 - 1) in the form z + n*b**2 + q*b and give n.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (33 - 2) + (14 + 7 - 25 - 7 - -8)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1190 - 1189.35. Which is the closest to 1? (a) -0.5 (b) 0.2 (c) g (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-291)\/485)\/(156\/200)?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.402 - 0.598. Which is the nearest to -3\/4? (a) 0 (b) 1 (c) 3 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -41, -47, -67, -107, -173, -271, -407?\n\"Answer: -f**3 - f**2 + 4*f - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 - 183*h - 1068. What is r(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 10074?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5754450943 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -1 + -5 + (2 - 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express s - s**3 - 2*s**2 + 2*s**4 - 2*s - 12*s**3 + 2*s**3 as a*s**4 + v + m*s**2 + z*s**3 + b*s and give z.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ombhbhohobhmbmhbbr. What is prob of picking 1 b and 1 h?\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*2*139\/(-7228).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 0.022\nAnswer: 0.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + l = 46. Let c(z) = 6*z - 55. Let q be c(12). Suppose -q*n = -13*n - 2*d - 42, 3*d - 25 = -5*n. Calculate the remainder when l is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3*q**3 - 188*q**2 + 20*q - 4621. Give f(63).\nAnswer: 608","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10168 to the power of 1\/2, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of 4*n**5\/5 + n**4\/24 + 3*n**2. Calculate the remainder when (5\/(40\/(-78)))\/(42\/(-840)) is divided by m(1).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2323.\nAnswer: 23, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 194210 to the power of 1\/2, to the nearest integer?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zn when two letters picked without replacement from eenetiezeqnnieee.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -1\/2, 3, -5, 19, -0.162 in increasing order.\nAnswer: -6, -5, -1\/2, -0.162, 3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: a016f (base 16) to base 4\nAnswer: 2200011233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 60, 143, 248, 369, 500, 635?\nAnswer: 768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of t**7\/336 - t**6\/10 - t**5\/4 - t**4\/6 - 5*t**3\/6 - 3*t - 6. Let z(x) be the third derivative of n(x). Factor z(q).\nAnswer: 3*(q - 10)*(5*q + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, v: 2, i: 1, w: 2, a: 1}. What is prob of sequence aviw?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50 - 0\/(-72 - 3).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of 5*s**3\/6 - 4671*s. Let z(q) be the first derivative of 8*q**3\/3 + 1. Give z(j(y)).\nAnswer: 200*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 0, -14, -5 in descending order.\nAnswer: 4, 0, -2, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 1\/60, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 218 + 243*j**4 - 36 - 122*j**4 - 122*j**4 - 3*j as a*j**3 + b + u*j**2 + t*j + h*j**4 and give b.\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*d*i**2*u - 2*d*i*l*u**3 - 2*d*i*l - d*l*u - 4*i**2*l*u**3 + 2*i*l*u**2 - 8*u**3 + 3*u**2 wrt u.\nAnswer: -12*d*i*l - 24*i**2*l - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7514, 13277, 19040, 24803?\n\"Answer: 5763*s + 1751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 6. Let g = -413\/8 - -2883\/56. Let v = 3.99 + 0.01. What is the closest to n in v, -3, g?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 2)*((-3*z - 5*z - 10*z)*(-8 + 8 - 2*z) + 64*z**2 + 45*z**2 - 17*z**2).\nAnswer: 128*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 485 - ((-10)\/4)\/(5\/(-4)). What is the third derivative of o - u*o**3 + 456*o**3 + 0*o**2 + 9*o**2 + 2*o**2 wrt o?\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2761*t**2 + 2*t - 12. Let s(z) = -2760*z**2 - 2*z + 8. Calculate -2*g(x) - 3*s(x).\nAnswer: 2758*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6087.\nAnswer: 3, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 34523288?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(704) - (sqrt(33)*3 - sqrt(33))\/sqrt(3))**2.\nAnswer: -36*sqrt(11) + 405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 201 - (8\/(-10) - 18\/(-10)). Suppose 5*n = -565 + y. Let p = n + 132. What are the prime factors of p?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -14) + (0\/(-8) - -6) + -9?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does -2023 = -2024?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1881*y + 198843 - 895329 = -4881*y for y.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 508431 and 2475.\nAnswer: 38132325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 472, 946, 1428, 1924, 2440?\nAnswer: 2982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 13.7, -2, -4, -9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-105 + 3)*(7 + 10648\/(-33))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z + 3*u - 5, -3*z - 5*u + 4 + 4 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23979*a**2 - 23979*a**2 + 4*a**3.\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 1 = 2*c - 2, -3*a - 2*c = -9. Let d = 4 - a. Find the second derivative of d*o - 2*o + o + 2*o**3 wrt o.\nAnswer: 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61 = -13*a + 139 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 6*b**2 + 30*b - 143. Give q(4).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 23*z - 1. Let y be l(2). Suppose 0 = -50*n + y*n - 20. Find the common denominator of -149\/6 and (-43)\/10 - (6\/(-3) - n).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1914\/5 - -384. Determine l so that 4\/5 - p*l**2 + 2\/5*l = 0.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(272)*3.\nAnswer: 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - 4*y**2 - 4*y - 1. Let z be f(5). Let r(p) = 0*p - z*p + 6*p. Let d(v) = 2*v. What is d(r(k))?\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2092*h**3*l - h**3 + 2*h**2*l - 5*h*l - 3781*h + 2*l wrt h?\nAnswer: -12552*h*l - 6*h + 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 13*u**2 - 9*u - 2. Let z be l(-1). Suppose -10*o + z = -0*o. What is the greatest common divisor of 5 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8446 and 26.7?\nAnswer: 225508.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 - 3*v + 6. Let j(b) = -13*b**2 - 13*b + 10. Determine -j(o) + 2*q(o).\nAnswer: 11*o**2 + 7*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27 (base 15) to base 5.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 685*d**2 - 4165*d + 375. Determine w(6).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y - 5*x + 15, -13*x + 11*x = -y - 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + -41?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-12))\/(1\/4). Let t be ((-2)\/11)\/(1\/(-1)). Suppose -25 = -5*x - 10. Put w, t, x in decreasing order.\nAnswer: x, t, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**(-2))\/h*h*h)**(7\/3))**(-1\/13)\/((((h\/h**(1\/4))\/h)\/h)**(-22)\/((h\/h**(2\/9))\/h*h**3*h)) assuming h is positive.\nAnswer: h**(-5719\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64706, 61186, 57666, 54146?\nAnswer: 50626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 255*i - 235*i - 520 = 0 for i.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j + 3*j - 10*j**4 + (2*j - 2*j + 4*j**2)*(-2*j**2 + j**2 + 0*j**2).\nAnswer: -14*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -519 + 522. Suppose y*t + 14*t + 0*t = 0. Which is smaller: 13 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59647 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*w - 312 - 116 = -4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 73867 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4296188000 to the power of 1\/5, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + -23c6?\nAnswer: -23cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of -7*g**5\/15 + 4*g**4 - 70*g**3\/9 + 4*g**2 + 5*g\/3 - 320. Suppose h(y) = 0. What is y?\nAnswer: -1\/7, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/4, 783, -1\/9, -5?\nAnswer: 783","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 - 5*r - 17. List the prime factors of o(11).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 5*z**2 + z**2 - 4*z**2 + z**2. Let w(h) = 23*h**2. Give w(y(s)).\nAnswer: 207*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 168?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3842646 divided by -606\nAnswer: -6341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 838621?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -32 + -1?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1001010 (base 2) to base 16\nAnswer: 4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -1. Suppose -p*d + 2*n + 110 = 0, -4*d - 14 = -4*n - 130. Calculate the remainder when d is divided by 43\/5 - (-4)\/10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1.384362 millilitres?\nAnswer: 0.001384362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/(-12))\/(1 + -2 - -3). Let g = 11 - 33. Let t = 23 + g. What is the third smallest value in -1, t, i?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 20*(6\/(-12))\/(-1). Is 9 a factor of 9*-69*(p\/(-3) - -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 416 + 1690 = 0. Let j = -365 - x. Suppose 7*q - 3*q + j = 0. Round q to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36.3 + 12.3. What is the third smallest value in -3\/2, i, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 12, -1\/3, -1\/58?\nAnswer: -1\/58","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - h - 4*h)*(1 - 2 + 2)*(6 + 3 + 6)*(2 - 2 - 4).\nAnswer: 180*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 409583 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1247\/15 - -83. What is the second biggest value in -3, -1\/3, b?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-q + 109 + 170 - 34)*(1 + 2 - 2) + 2 - 3*q - 2 + (4*q - 5*q + 0*q)*(6 - 2 - 3) + (7 - 6 + 6)*(-2*q - q + 4*q) in the form x*q + n and give n.\nAnswer: 245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 5. Let s be ((-5)\/2)\/o*-2. Sort 3, 2, s in ascending order.\nAnswer: s, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 0 + 1 + (-7 - -37) + -1\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 4*w**3 + 7*w**2 + 12*w + 4. Calculate r(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-30)*4*9\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0138546 rounded to 4 decimal places?\nAnswer: 0.0139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - 0)*(-15)\/3. Let s be 0\/1*v\/(-5). Does 13 divide 20 + (-6)\/3 + s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*g**2 + 188*g**2 + 91*g**2 + 8*g - 8*g.\nAnswer: 316*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/4*(-14 - 2). Let d be (2\/8)\/((-11)\/r). Put d, 0, 0.8 in increasing order.\nAnswer: d, 0, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/312)\/(4\/(-3))?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**5\/13 - 8*s**4\/13 + 2*s**3\/13 + 20*s**2\/13 - 8*s\/13 - 16\/13 = 0. Calculate s.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/(j*j\/((j\/(j**(4\/13)\/j))\/j*j))*j)**8\/(j**(-10)*j*j**(-10)\/j*j))**(-3\/11) assuming j is positive.\nAnswer: j**(-1581\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 159427711 to the nearest integer?\nAnswer: 542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 - (-1)\/(3\/24909). Round m to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 79 + -81. Suppose -2 = 4*f + 2. Let q = f + -2. Are q and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2792376637 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4*m + 8 = 0, -2*j = 2*j + 5*m - 36. Let q be (-1)\/6*2\/j. Let w = -57 + 57. Sort 3, q, w.\nAnswer: q, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 14 - 6 = 4*a, -3*i = -4*a - 20. Suppose -3*o + 15 = 0, -4*m + 2*m - 2*o + 40 = i. Calculate the greatest common factor of m and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57, -71, -113, -195, -329, -527, -801, -1163?\nAnswer: -1625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 - 38*r + 106. Calculate n(36).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(77) + sqrt(77) + sqrt(77)*-2 + sqrt(77)))\/sqrt(11).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000216736703 rounded to 5 decimal places?\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, b: 11}. What is prob of picking 1 b and 2 f?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 733229 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -153 + 146.9. Let s = 4.1 + v. Let p = -1.9 - -6.9. Put p, s, 4\/5 in increasing order.\nAnswer: s, 4\/5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -5*b + 125. Let g be (-47)\/(-5) - 10\/b. Let a = 29 - g. Calculate the smallest common multiple of a and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 190816129.\nAnswer: 7, 31, 719, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3224?\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 69\/2 of a meter in centimeters?\nAnswer: 3450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ozzz when four letters picked without replacement from {y: 1, o: 1, e: 4, z: 4, l: 3, t: 4}.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -13 and -205\/16 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 2 = -3*d, -2*d - 5 = -3*m - 6 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 2:31 PM?\nAnswer: 1:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h**2. Let r(w) = -17*w + 17. Let c(z) be the second derivative of -z**3\/6 - z**2\/2 + 19*z - 1. Let p(g) = 17*c(g) + r(g). Determine p(n(a)).\nAnswer: 68*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -4 - 3. Let a be 2*-1*z\/(-42). What is the nearest to a in -1, -0.4, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of -d**3\/6 + 9*d**2 - 35*d\/2 - 237. Find i, given that h(i) = 0.\nAnswer: 1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60690 and 420.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -475, -3855, -10139, -19327?\n\"Answer: -1452*m**2 + 976*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1127?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15061071 is divided by 52.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19130 + -18562. What is the greatest common factor of l and 12212?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - -19. What is the greatest common divisor of 65 and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.385 less than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 9109902 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-5))\/((-132)\/((-3544200)\/1253)).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171007616.\nAnswer: 2, 13, 102769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -p - 2 - 10*p**2 + 25*p**2 - 14*p**2 + (-10*p - 22*p - 12*p)*(-2*p + 3 - 3) as x*p + h + m*p**2 and give m.\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of 193*y**3\/3 + y**2 + 7*y - 2. Let g be u(-5). Suppose -7*c - 27 = -g. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 6\/5*j + 21\/5*j**3 + 3*j**2.\nAnswer: 3*j*(j + 1)*(7*j - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 225 = -3*m - q, 3*m - 4*q = 230. Calculate the remainder when m is divided by 26.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 300, 775, 1262, 1755, 2248?\n\"Answer: -i**3 + 12*i**2 + 446*i - 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1363 - 1362.999626. What is i rounded to five decimal places?\nAnswer: 0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -16 (b) 1\/22 (c) -1 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1173 = -3*k + 6378. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2397374625249.999999043 - -2397374626759. Let q = 1509 - u. Round q to 7 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*h - 8*h. Solve h = w - 2 - 2 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {f: 1, w: 3, t: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 3, 522, -1\/10, -5, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 2670.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -340*j - 5*m - 15 = -336*j, -3 = -j + m for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 12.9, 3, -3 in increasing order.\nAnswer: -3, 3, 12.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 199724352?\nAnswer: 2, 3, 19, 53, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + 11*a**2 - a + 14. Let r be y(11). Suppose -r*g + 4 = -11. Solve 39 - 9 = 5*b - 2*j, 0 = 3*b + g*j + 13 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57 divided by -40358.\nAnswer: 57\/40358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*j + 24 = 16*j. Let x(m) = m**3 + 8*m**2 - 3*m - 20. Let q be x(j). Factor 0 + 0*u - 4\/3*u**5 + 0*u**2 - 2\/3*u**q + 0*u**3.\nAnswer: -2*u**4*(2*u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1706 and 2?\nAnswer: 1706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10917 is divided by 78.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8446751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33.807 - 34. Round s to 2 decimal places.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242) + 1 + sqrt(2) + sqrt(2))*-6*1.\nAnswer: -78*sqrt(2) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -69564 (base 14) to base 4\nAnswer: -332210010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) -22 (c) -1\/8 (d) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (3 + (0 - 2) + 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 PM and 5:11 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10 + 140*x + 22036*x**3 + 2 - 21675*x**3 - 4 + 10*x**2 wrt x.\nAnswer: 2166*x + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 5*s = -r - 6, -3*s = -2*r + 26. Calculate the highest common divisor of r and 189.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/10 of a kilometer?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 70\/20*5546*(-14)\/(-49). Calculate the highest common factor of 94 and h.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 155, 5, -3 in increasing order.\nAnswer: -3, 5, 155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of -21*n**2 + 2*n - 82. Let p be m(-11). Calculate the greatest common factor of p and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184870*p + 2 + 2 = 184872*p. Let j = 2 + 2. Calculate the least common multiple of p and (0 - j\/(-10))*40.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3008.38 millilitres in litres?\nAnswer: 3.00838","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyjyuuuuejyuj. What is prob of sequence yyu?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmme. Give prob of picking 4 m.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 13, 16, 15, 10, 1?\n\"Answer: -2*l**2 + 9*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-4656)\/3528)\/(-194))\/(-1)?\nAnswer: -1\/147","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-2) + 4\/3. Suppose -2*n - 2*h + 276 = 0, 3*h = 5*n + 4*h - 694. Let r = n + -283\/2. Which is the second smallest value? (a) z (b) 5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.018*0.13.\nAnswer: 0.00234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, q: 1, w: 1, d: 1, u: 2, c: 1}. Give prob of sequence quk.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6 - (-5)\/(2\/(24\/(-10))). Let r be (f + 0)\/(22 + -26). Is -39.2 at most as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 198? (a) 0.13 (b) 0.4 (c) -1\/10 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 32\/(-20) - (-23 - (-31072)\/1280)\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xbxq when four letters picked without replacement from {q: 5, x: 14, b: 1}?\nAnswer: 91\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 62511*l**4 - 2*l**2 - l - 1997 wrt l?\nAnswer: 1500264*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10324, -10317, -10310, -10303?\nAnswer: -10296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v - 2*v + 1 + 3*v + 0. Let o(t) = -t + 3. Let z(f) = 3*b(f) - o(f). Let i(l) = 29*l - 9*l**2 + 34*l - 63*l. Calculate i(z(k)).\nAnswer: -36*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -148 - -99. Let c = v - -51. What is the closest to -4 in c, 0, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2\/591 + 3560\/4137. Let k = -15.99 + 17.99. Which is the nearest to 1\/3? (a) k (b) p (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2872*s**2 + 1433*s**2 - 2 + 1435*s**2 + 19.\nAnswer: -4*s**2 + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.324204g in milligrams?\nAnswer: 9324.204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z\/(z*z*z**(2\/9)))\/z)**(-5)\/(z**(-5)\/(z*z**(-1\/10)\/z*z*z)))\/((z\/(z*z**(-3\/11)))\/z*(z*z**(2\/13)*z)\/z)**41 assuming z is positive.\nAnswer: z**(-57637\/12870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/33 (b) -3\/22 (c) -4\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 297? (a) 5 (b) 4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 6:02 AM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0 (b) -0.11 (c) 31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 76561132 and 44.\nAnswer: 842172452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -158 + 786\/5. Let g = -12.72 - 0.28. Let q = -12.7 - g. Which is the smallest value? (a) 5 (b) x (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 78, 0.01, -27450\/23?\nAnswer: -27450\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 3 = m. Let c be 12 + m - (7 + -8). Let y = c + 16. Is y a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -5*b**3\/2 + 1015*b**2\/2 - 7600*b + 22440 = 0.\nAnswer: 4, 12, 187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -20*f**2 + 6242*f - 111884. Determine j(293).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1278378?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -45330 - 3?\nAnswer: -45333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u - 6*s + 12 = -4*s, s = 4*u + 6. Solve -2*l - 7*v = -12*v + 12, -3*l + 4*v - 11 = u for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2 + sqrt(112))**2 + (sqrt(112)*-4)**2 + 2 - (sqrt(112) + 1 + 3 - -1*(sqrt(112) - (sqrt(112) + -2 + sqrt(112))))**2.\nAnswer: 96*sqrt(7) + 2454","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*l + 102*l - 642 = 43*l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 803597.\nAnswer: 23, 34939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26795 is divided by 66.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/45880 and 73\/80.\nAnswer: 91760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -153.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -117322, -2, 4 in increasing order.\nAnswer: -117322, -4, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 3\/5, 2, -779424, 2\/13, 3\/4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three fifths of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -49, -223, -549, -1057, -1777?\n\"Answer: -5*m**3 - 46*m**2 - m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37269\/10 + -3734. Calculate the common denominator of h and -31\/26.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 10*f**2 + 10*f - 10. Let i be h(-11). Solve 0 = j - 4 - i for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 e when three letters picked without replacement from eege?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15113777 is divided by 5037920?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1753018 - -3081181. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.96 - -0.04. Let w = o + -4. Let i = 0 - w. Put -2, 0.3, i in decreasing order.\nAnswer: i, 0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -41.9 + 42. Let y = 10 + -7. Let n = y - 2.8. Sort -2\/13, z, n.\nAnswer: -2\/13, z, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 8.7 * 0.018\nAnswer: 0.1566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 740088 is divided by 1670?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -10036 (base 7) to base 8\nAnswer: -4574","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 2*t + 1066, -34*n + 37*n - 797 = t. Let r be (8\/(-6))\/(n\/(-594)). Sort 24, r, -4, 0 in decreasing order.\nAnswer: 24, r, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -1\/7, -0.026, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 245 and 34055?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 5*g - 94. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 14\/9*d + 19\/9*d**2 + 0 - 59\/9*d**3 - 1\/3*d**5 + 29\/9*d**4 = 0.\nAnswer: -1\/3, 0, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 13) to base 16.\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -34, -154, -354, -634, -994, -1434?\n\"Answer: -40*d**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1991 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: Expand (-3 + 7 - 1 + (-43 - 2 - 122)*(-4 + 5 - 2))*(3*v**3 - 2*v**3 + v**3 + (-3*v + 3*v - v)*(-3*v**2 - v**2 - 2*v**2)).\nAnswer: 1360*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*g - 11*g - a - 28 - 15, 2*g = -2*a + 34 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145556*y + 17 = -145555*y for y.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - 10) + 3 - -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f - 6*f + 5*f + 2)*(-2*f + 1 - 1).\nAnswer: -6*f**2 - 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2779a4 (base 11) in base 7?\nAnswer: -3461353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from toit.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6081 - 3476. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*o + 154*o - 77*o - 210 = 0. Let c = 6 - 3. Suppose c*y - 224 = 5*j - 6*j, 0 = -3*y - 4*j + 221. Calculate the greatest common factor of o and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + p - 4*p + 55 = 0, 0 = -5*a + 4*p + 30. Let u be (1*-1)\/(5\/a - 1). Solve -4*x + 7*x + 13 = u*o, 4*o + 19 = -3*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/20 + (-40620)\/(-200). Let x = 274 - a. Is x a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 27345587, 27345586, 27345585?\n\"Answer: -s + 27345588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1281*c**3*r**4 - c**3 + 38*r wrt r.\nAnswer: 15372*c**3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004776 to seven decimal places.\nAnswer: 0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4314*r**2 + 94*r**3 + 5779*r**2 - 1466*r**2.\nAnswer: 94*r**3 - r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**5\/2 - 5518*c**4 + 22066*c**3 - 22064*c**2 = 0.\nAnswer: 0, 2, 11032","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c - 2. Let t be r(5). Let d be 1\/2 - 282\/t. Calculate the greatest common factor of 6 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 57\/5 of a millimeter?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a*a\/(a*a**(-6))*a*(a\/(a**(-8)*a*a))\/a)\/(a**(-8\/15)*a**(-36)) assuming a is positive.\nAnswer: a**(788\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*i = 3*i + 135 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -86324, -174237, -262152, -350069, -437988?\n\"Answer: -z**2 - 87910*z + 1587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-2*sqrt(539) + -1 - 3*(sqrt(539) + -1))**2.\nAnswer: -140*sqrt(11) + 13484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -3*o - c, -10 = -c - 4*c. Suppose -24 = -o*d + 10*d. Suppose 0 = 4*z - d - 4. Solve 0 = 5*s - 3*a - 7, 4 = z*s - a + 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2 - 8*s**2 - s**3 + 2*s - 2*s - 7*s. Let p be r(-7). Let z(a) = a**2 + 6*a - 3. Let f be z(-7). Solve -y + f = -p*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1078?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 2 u, and 1 h when four letters picked without replacement from hhppuohhohphuphochoh.\nAnswer: 12\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2. Let l = 8 - 10. Let c be ((-6)\/9)\/(l\/51). Let b(w) = w**2 - 17*w + c*w. Determine b(v(y)).\nAnswer: y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21132220110 - -12?\nAnswer: 21132220122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, s: 3, c: 4}. Give prob of sequence sss.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 4, 5, 0.2, -7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 - (12\/(-4) + 19). Let x = g + 21. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -7*f**3 + f**2 + 1. Let p be v(-1). Suppose 2324 = p*x - 475. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 35 = 5*n, 5*i - 3*n = 2*n + 45. Suppose 3*h = -l + h + 208, -i*l + 995 = h. What is the highest common factor of l and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34191390 and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28\/19 + 2452\/1767. What is the common denominator of i and 29\/4?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37760 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/1675 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*h + 18*h + 108. Let i = 742 - 716. Is h != i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 91*m*s*t*x**3 + 31*m*s*x**2 + 5*m*s + 2*s*t + 4*s*x**3 + 4*t*x**3 wrt t?\nAnswer: 91*m*s*x**3 + 2*s + 4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 - -8. Let b(j) = 0*j + 6 + 5*j - j - 8. Let w(q) = -q. Determine n*w(i) - b(i).\nAnswer: 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 194272 bigger than 1359914\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a tonne in kilograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84332241 and 94.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -5*o + 1, 0 = 2*t + 5*o + 2 - 4. Which is the nearest to 2? (a) 12 (b) -1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -1. Let p be 9\/21 + 44\/28. Suppose -4 = -y - p*b, 2*b + 12 = 3*y - b. Put y, f, 0 in decreasing order.\nAnswer: y, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = s - 2. Suppose -4*a - 4*l = -84 - 200, -2*l = -s. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 665767 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 + 15.4. Which is the second smallest value? (a) n (b) 1 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1708 rounded to the nearest one hundred?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21132.284 + 0.4493627.\nAnswer: -21131.8346373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-3))\/(22\/165). Suppose 9*k = 4*k + d + 13, q*k = -2*d + 4. Let f(c) = c**3 + 2*c**2 - 2*c - 1. Let v be f(-2). Solve -k = -v*j + 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18*-10*73\/1314.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -125*y**3 - y**2 - 3*y - 3. Let t be n(-1). Suppose 20 = -5*w, u - 2*u - 4*w = -t. Let q = 273\/2 - u. What is the closest to -2 in q, -0.2, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -14*l**3 + 2*l**2 + 3*l + 3. Let h(w) = -29*w**3 + 4*w**2 + 7*w + 7. Suppose 40*k + 102 = 6*k. What is k*h(i) + 7*z(i)?\nAnswer: -11*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d - j = -4*d - 66, 3*d - 2*j - 55 = 0. Let c(p) = 14*p - 122. Calculate the remainder when c(d) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27 - -29. Suppose 4*m - 41 = -5*u - 9, b*m = -5*u + 26. Which is smaller: u or 6?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34\/(-6) + 720\/(-540)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 62667 and 594.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 3*o = -122, r + 2*o = -r + 36. Suppose 3*d + 330*t = 326*t + 137, t + 172 = 3*d. What is the least common multiple of r and d?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136654177?\nAnswer: 11, 17, 29, 113, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 6 = -5*j - 5, 4*j - 4*a - 8 = 0. Is j\/(-11) - 42544\/(-44) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*(-24)\/8*(-3)\/18.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a day in seconds?\nAnswer: 32400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - -1) + 0\/(-1). Let m = -7 - -10. Find q, given that -q**m + q**2 + 0*q**2 + q**j = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 c when four letters picked without replacement from cqacqcccqcccccc?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, -32 in decreasing order.\nAnswer: -2, -4, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 196769940 to the power of 1\/2, to the nearest integer?\nAnswer: 14027","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 PM and 6:54 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 16*g**3*j**3 + 46*g**3 + 1722737*g**2 + 3*g - 12452340*j**4 wrt j?\nAnswer: 48*g**3*j**2 - 49809360*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 965 + -102. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -11*t - 1. Let b(g) = -12*g - 1. What is -3*b(q) + 4*r(q)?\nAnswer: -8*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-2)*-6*160\/192\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11986 is divided by 5798.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + 2 + 177 - 1. Suppose -69 = -2*w + b. Let j = -74 + w. What is the highest common divisor of j and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -116*s - 3211 + 458 - 19 - 1056 for s.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 8) in base 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*j**2 - 12*j**2 + 43*j**2 - 168*j**2 + 35*j**2.\nAnswer: -122*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11182032733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 8 (b) 2002 (c) -39\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 2, -19, 1, -181, -21 in ascending order.\nAnswer: -181, -21, -19, -17, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 15*p**3 - 6*p**2 - 3*p + 9. Give n(2).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/15*-12)\/(2\/(-10))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/5272 and -35\/71644.\nAnswer: 94426792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 41*n**3 - 40?\nAnswer: 123*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/5*(5 - 10). Suppose -w*h - 1152 + 3075 = 0. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 42866813?\nAnswer: 1\/42866813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -2\/31 (b) 0.3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 239490\nAnswer: 95796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.85 - -4. Let a = 6.85 + j. Let m = a + -6.2. What is m rounded to 1 dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 187\/7 - 3193\/119. Suppose -4*t + 10 = -2*t. Sort r, t, 4 in decreasing order.\nAnswer: t, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 162 divided by 2055866.\nAnswer: 81\/1027933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - 6*l + 6. Let t(v) = 3*v**3 - 22*v**2 + 95*v - 59. Let y(q) = -q**3 + 5*q**2 - 23*q + 15. Let d(p) = -2*t(p) - 9*y(p). Give -6*d(g) - 17*h(g).\nAnswer: -g**3 + 6*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w = 43 + 13 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2188 is divided by 184?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 + u - u**2 + 7*u**3 + 248 - 247. Give o(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -1\/2, 28, 6?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 15. Let x = i - 28. Let o(f) = f**2 + 9*f - 8. What is the tens digit of o(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j. Let w(q) = 11*q - 2. Let m(b) = -5*p(b) + w(b). Let s be m(1). Suppose -c + 4*k - 51 = -4*c, -30 = -2*c - s*k. Does 5 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, 1, -11, -1, 2\/15, -2\/7 in descending order.\nAnswer: 1, 3\/4, 2\/15, -2\/7, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -421, -1\/3, 5\/32, 5 in descending order.\nAnswer: 5, 5\/32, -1\/3, -5, -421","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -34 + 40?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -d + 3*s - s + 11, -3*s = -4*d + 29 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 976138692?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 119811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 - 13*x**2 + 12. Let z be a(-13). Let u be (36\/(-14))\/(z\/(-168)). Let r = u - 34. Solve r*f - 1 = f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-47801)\/30 - ((-268)\/15 - -18))*-2?\nAnswer: 3187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a kilogram in grams?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 - 69*t + 1. Let c be w(0). Solve -4*v - 2*q = 0, 2*q - 3 + c = -5*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 4*x + 14 + 1, -3*x + 10 = 5*d. Let s(u) = 28*u + 3. Let j be s(d). What is the greatest common divisor of 13 and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, -9, -17, -21, -21, -17?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -34675 - 0.4?\nAnswer: -34675.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s + w + 9, -8 = 4*s + 4*w + 8 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18169147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 304314?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of w**6\/2 + 12*w**5 + 102*w**4 + 326*w**3 + 21*w**2\/2 - 1470*w + 915. Suppose k(b) = 0. Calculate b.\nAnswer: -7, -5, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 1677 - 2608. Suppose -371*v + 372*v = z. What is the hundreds digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 + -19. Let n(k) = -k**2 - 19*k + 82. Let z be n(-22). Solve -l*s + z = -0*c - 2*c, 3*c = -s - 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.071 + 0.071. What is the biggest value in 0, k, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-11)\/((-22)\/5) + 4\/(-8). Solve -4*d + 13 = 2*c - d, -r*c + 3*d = 5 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of -r**4\/12 - 7*r**3\/6 - 9*r**2 - 8*r. Let w be x(-4). Let y(n) = -36*n - 26. What is the tens digit of y(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24 + -16. Let w = v + -9. Let i = -1 + -2. Which is the closest to 0? (a) i (b) w (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -3*b**3 + 13*b**2 - 24*b - 35. Let z(y) = y**3 - 4*y**2 + 8*y + 12. Let v(x) = 6*u(x) + 17*z(x). What is the units digit of v(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.287 + -0.237. Let r = -3.65 + a. Sort -3, r, 2, 5 in ascending order.\nAnswer: -3, r, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 24 = 3*a - 113, 4*d - 5*a = 49. Calculate the remainder when 59 is divided by d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a microgram in nanograms?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((w**2 + 20*w**2 + 33*w**2)*(4 - 3 + 1) + w - w + w**2)*(w**2 - w**2 + w**3).\nAnswer: 109*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + f**2 - 4. Let y be d(2). Suppose -3*l = -5*q - y*l + 30, 3*l = -5*q + 38. Solve -6 = -3*a + 5*w, 5*a - 2*w + 0 = q for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3281721 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 2462885?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**29*p\/(p**4\/p)*(p*p**31\/p)**20 assuming p is positive.\nAnswer: p**648","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -2*f - s - 485, 0 = -2*f - 2*s - 250. Is 3530\/4*f\/(-100) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - -5b?\nAnswer: 5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -31*g**3 - 3*g**2 + 3. Let j(w) = -19351010*w + 19351010*w + 7*w**2 - 7 + 63*w**3. Determine 3*j(a) + 7*l(a).\nAnswer: -28*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 5*n**2 - 20*n - 60 = 0.\nAnswer: -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*v = 10*v - 459 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (392 - 392 + 47*g + (2*g - 1 + 1)*(6 - 3 - 1))*(4 - 2 + 2) in the form d + x*g and give x.\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - -3. Let n be 15\/q - (-3)\/1. Suppose 3*x = -0*x + n. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 132 by -4.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z**3 + 7*z**2 - 9*z + 3. Let d be c(4). Let q = d + 54. Solve 1 = -q*a + 6 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 3 + 3. Let a be (-2)\/h - (-708)\/9. Is 0 - (0 - 0 - a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**3 + o**3 + 6*o**3 + o**3 - 5*o**3 + 3*o**3 + (3 - 3 + o**2)*(-2*o + o + 0*o) + 4*o - 4*o - o**3 + o**3 - 3*o**3 + 4*o**3.\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -418*j + 422*j + 40, 0*q + 0*q + 152*j = -1520 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqicoqoiai. What is prob of sequence ii?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13183214 is divided by 2673.\nAnswer: 2651","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -288.5 + 282.5. Which is the biggest value? (a) 2 (b) r (c) -3.8 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 191990*y - 12479344. What is k(65)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**2 - 520*a + 13520.\nAnswer: 5*(a - 52)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 10 - 4)*(-5*s + 2*s + 0*s) to the form b*s + n and give b.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*a = 4*a + 10672. Does 16 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2432 bigger than 2433?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -170090000 rounded to the nearest one million?\nAnswer: -170000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 220 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 AM and 12:45 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -54293, -26, -58 in ascending order.\nAnswer: -54293, -58, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -21*l + 5. Is h(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 PM and 4:28 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 26*v**2 + 1 - 4*v**2 + 20*v**2 + 0*v**2 to the form p*v + f*v**2 + i and give f.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 39342b (base 14) in base 16?\nAnswer: 1e088f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - g = -4, 0 = -g + 6*g - 10 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -685 = 44*n + 57*n + 1234 for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 389279, 389285, 389295, 389309, 389327?\n\"Answer: 2*y**2 + 389277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1518 - -5.\nAnswer: 1523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 11 - 3*y**2 - 11*y + 4*y**2 + y. Let c be d(9). Differentiate -2*v**2 + v**4 + 2*v**c - 2 wrt v.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-12)*36\/252*3\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 218 - -0.3\nAnswer: 218.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y + 1. Let q(v) = -31*v - 3. Calculate 6*f(l) + q(l).\nAnswer: -19*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.8 + 1.2. Let h = 2.9 + -3. What is the nearest to h in v, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 5*m = -4*t + 52, 3*m - 4 = t. Suppose -a = -3*a + t. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 1)\/(3 - 2). Let u = 0 - d. Let l be (4\/(-2))\/((-3)\/(-6)). Which is the closest to u? (a) l (b) 0 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 840*f**2 - 1375*f**2 - 9 + 961*f**2.\nAnswer: 426*f**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2. Let h(a) = -106961*a. Give x(h(r)).\nAnswer: -11440655521*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -29.\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 75 + -106. Let l = 84554.3 + -84554. What is the third smallest value in l, 5, -0.3, n?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2367)\/18)\/((-1)\/(-2)). Let y = a + 453. List the prime factors of y.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/(-10))\/((-88)\/40). Which is the closest to -0.2? (a) -3\/2 (b) k (c) -1\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 26*j**2 - 2372*j - 9480. Calculate g(-4).\nAnswer: 424","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 22753212 times -0.18?\nAnswer: -4095578.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 31746 equal to 222218\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 11) in base 13?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, b: 1, p: 3}. What is prob of picking 2 n?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31*m**2 - 231*m**4 - 251*m**4 - 576*m**2 wrt m.\nAnswer: -11568*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1077751*q**3 - 378*q**2 - 811.\nAnswer: 6466506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9105248093 take away 0?\nAnswer: -9105248093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24\/85 + 2\/17. Let a = 1.196 + 16.804. What is the closest to s in -3\/2, a, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + -2 + (-4 - -13). Let n(j) = -13*j**3 - 7*j**2 - 11*j + 14. Let t(h) = 7*h**3 + 4*h**2 + 6*h - 7. What is a*n(g) + 11*t(g)?\nAnswer: -g**3 + 2*g**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*x = 5*u + 18*x - 517, -2*x = 4*u - 412. What is the lowest common multiple of u and 75?\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -13, -8, -3, 2?\n\"Answer: 5*z - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2367927 times -4\nAnswer: 9471708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 63.7078 + -0.0078. What is f rounded to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57 divided by 6.\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-104)\/468)\/(1\/((-189)\/6)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.8 (b) 0.1 (c) -0.029 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 + 30*i + 1. Let n be b(22). Let k = n + 336. Does 12 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 323 - 2*s**2 - 323. Let g(z) = 6*z**2. What is b(g(k))?\nAnswer: -72*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xsk when three letters picked without replacement from {b: 2, s: 2, x: 4, k: 4}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3246?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -552 + -4?\nAnswer: -556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.18 at most -0.17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 - 5*v**2 - 4*v - 7. Let x be o(-5). What is the least common multiple of (5 - (3 - 1)) + x and 14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -11*n**2 + 5*n. Let a(s) = -2*s**2 + s. Let y(z) = -5*a(z) + d(z). Let p(c) = -213*c**2. Determine y(p(u)).\nAnswer: -45369*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0804991 rounded to 3 decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2330329 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -427, -836, -1245?\n\"Answer: -409*w - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 166, 397, 982, 2089, 3886, 6541, 10222?\nAnswer: 15097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z - 2. Let a(u) = 2*u - 3. Let n(k) = 3*a(k) - 4*q(k). Let b = -21 + 18. Give n(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1201*b**3 + b**2 + 0*b**2 - 3254*b**3.\nAnswer: -2053*b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198*b = -42*b + 15120. Solve b*p = 57*p - 36 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 352390?\nAnswer: 2, 5, 131, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r**(11\/4)*r))\/r)\/r)\/(r\/(r\/((r**(1\/9)\/r*r*r)\/r)*r))*r**(5\/13)\/r*(r\/r**(-2\/17))\/r assuming r is positive.\nAnswer: r**(-34679\/7956)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 3, 4.\nAnswer: -14, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/5))**(-2\/13)\/(y**0\/y)**7 assuming y is positive.\nAnswer: y**(453\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 547951 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/13? (a) 10 (b) 29 (c) 7 (d) 0 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 3535*o + 13 - 1176*o - 1182*o - 1215*o + 3. Let j(n) = 2*n**2. Calculate k(j(y)).\nAnswer: -76*y**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 425 + -443. Sort p, -1, -2\/5.\nAnswer: p, -1, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(2\/21)\/b)\/b)**(-1\/21)*(b\/b**(-2\/37))\/b**(-23))**(17\/6) assuming b is positive.\nAnswer: b**(3348745\/48951)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.1, 2\/15, -6.6, 1\/3, -73\/6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.01, -2, 5\/24, 14, -55\/3, 1\/7, -0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 PM and 11:30 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -3*n**3 - 42*n**2 - 14*n + 5. What is w(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 + 4*f - 35. Let s be o(5). Put -3, s, 12 in descending order.\nAnswer: 12, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 - 6*k - 5. Suppose 0 = 2*m + 4, -2*q + 3*m + 22 = -6*q. Let x be f(q). Suppose -71*i = -108*i + 60*i - 46. Solve x*n + 25 = -i*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 58706 and 10.\nAnswer: 293530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2\/37, -28, -3\/8, -0.1, 66, -5\/3?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3748716?\nAnswer: 2, 3, 101, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x. Let q be -8 + (-1 - 0 - -4). Let d be c(q). Solve -3*j = -4*o + 10, 4*o + 9 = 3*o - d*j for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5728 rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6.34? (a) -1 (b) 0 (c) 1813\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11001011100000011 (base 2) to base 3.\nAnswer: 12021221002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8471 and 86?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13330 + 37190. What are the prime factors of w?\nAnswer: 2, 5, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k = 8*k + 2. Suppose x - 727 = -2*b, -7*b + 4*x = -k*b - 1850. List the prime factors of b.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 + k + 2. Let c(l) = 2*l**3 + 4*l**2 - 4*l - 13. Let g(p) = c(p) + 6*z(p). Give g(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -110*m**2 + 9*m + 38. Calculate x(-3).\nAnswer: -979","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -1)*(-8)\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/5, -1\/6, -2, -8?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 295280190 and 225?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 166\/3 in 17, 3\/5, -3?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-8\/11)*g*g\/(g\/(g*g*(g\/(g\/(g*g\/(g*((g**(1\/19)\/g)\/g)\/g))))\/g*g))*g*g assuming g is positive.\nAnswer: g**(1718\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c. Let r(n) = -n + 16. What is z(r(s))?\nAnswer: s - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -750554, -750261, -749968?\nAnswer: -749675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -3*t - 95, 10*t - 8*t + 70 = 3*k. Is 8\/k + 14088\/5 + 1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34\/9 - 38\/9. What is the second biggest value in h, -0.8, -1?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -603 + 603. Solve 3*i = -j + 3*j + 6, n = 5*j + 3*i + 15 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1006148 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -204205 (base 6) in base 8?\nAnswer: -40155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -0.09, -0.3, 4, 125\/11 in descending order.\nAnswer: 125\/11, 4, 0, -0.09, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 360308 is divided by 135?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-4 + (-1)\/(-1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -1192*o + 593*o + 585*o. Let g(t) = -7*t. Give g(s(m)).\nAnswer: 98*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111735 + h**3 + 111735.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -2*g - 2*g + 92, g + 13 = -n. Let q be (-32)\/3*1*n\/8. Suppose 3*h + 3*y = 2*y - 12, 5*h + q = -3*y. Sort h, -1, -37.\nAnswer: -37, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - 26586?\nAnswer: -26585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 5. Let q = 16 - o. Let r be ((-25)\/q - -3)*6. Which is bigger: r or 7\/2?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1056.1 + -1038.743. Let j = -70.957 - -71. Let k = j + s. What is k rounded to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(27) - sqrt(189)\/(-2*sqrt(7)))*-6 + (sqrt(27) - (sqrt(27) - (0 + sqrt(27))*-4 - sqrt(27) - sqrt(27)))*5)**2.\nAnswer: 9747","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110916*a = 3*m + 110913*a - 66, m + 122 = -5*a for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of d**3\/6 + d**2 + 3*d. Determine s(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a century in months?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-480))\/((-21)\/(-28))?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/(-12)*((-848)\/1792 + (-4)\/(-14)). Let v(c) be the first derivative of q*c**4 - 3 - 27\/2*c + 27\/4*c**2 - 3\/2*c**3. Factor v(a).\nAnswer: (a - 3)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 2:19 PM?\nAnswer: 11:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12710173 rounded to 5 dps?\nAnswer: -0.1271","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 720272 and 327?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 j when two letters picked without replacement from brvvabvjvbhaaavv.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -r**2\/12 + 11*r\/12 - 2 = 0.\nAnswer: 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 317640?\nAnswer: 2, 3, 5, 2647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 255633685 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, k: 1, r: 1, w: 6}. What is prob of sequence wk?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 + 5*x - 6. Let u be r(-6). Suppose 2*f + 18 = -i - u*i, -f - 2*i = 6. Let c be (-22)\/f - 2\/10. What is the highest common factor of 6 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 90 and 10856.\nAnswer: 488520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4\/850)\/(37\/(-185)))\/((-38)\/190*-2).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 4*b**4 + 15208*b**3 + 15200*b**2 - 15208*b - 15204 = 0.\nAnswer: -3801, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 62*f - 58*f. Suppose r - 7 + 1 = f. Suppose -r = 3*v, 287 = 11*o - 8*o + 5*v. What is the greatest common factor of o and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.4 - 6. Let g = 0.3878 - s. Round g to 3 decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -19 - 13 + 34 + 5*l. Let t(x) = -971 + x + 1942 - 970. Determine -n(g) + 3*t(g).\nAnswer: -2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-37)\/((l*l\/((l*(l\/l**(-9\/4))\/l)\/l))\/l)*(l\/l**(1\/17))**40 assuming l is positive.\nAnswer: l**(129\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 5*j + 4. Let m be c(4). Let p = m + -10. Let d = p - 5. Calculate the lowest common multiple of d and 11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 186\nAnswer: 18.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(4) - sqrt(36)) - sqrt(256))\/(sqrt(72)*2*4))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-2)\/(-67))*1*(-265)\/((-20140)\/76)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (-8 - -4)) + -15 + 3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + l = -222, 5*u - 19*l + 18*l - 278 = 0. Calculate the remainder when u is divided by 4032\/420 + 6\/10*-1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -495591364, -495591362, -495591360?\n\"Answer: 2*h - 495591366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3050395047?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 - 5*v**2 + 7*v + 5. Give c(-7).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 5:30 PM?\nAnswer: 7:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -3*v + 7*v. Let m(b) = -3*b**3 - 22*b**2 - 16*b + 53. Let k(d) = d**3 + 10*d**2 + 8*d - 22. Let r(n) = -5*k(n) - 2*m(n). Determine r(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -185 - 501. Let a = w + 994. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -178122, -355853, -533584, -711315, -889046?\nAnswer: -1066777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 7*j - 12. Which is smaller: j or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6, -0.3, 956441?\nAnswer: 956441","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + (12 - 42) - -29?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 76*m - 46698 = 72*m, 2*m - 70011 = -3*v. What is the lowest common multiple of v and 3?\nAnswer: 23331","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b. Let h(y) = -1. Let n(r) = 18*r**2 - 12. Let p(i) = -12*h(i) + n(i). Determine j(p(k)).\nAnswer: -18*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 296*v**2 - 1006*v**2 + 713*v**2.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1282, -1299, -1340, -1417, -1542?\n\"Answer: -2*h**3 - 3*h - 1277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1917846 and 265608.\nAnswer: 3906","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*c**3 + c**3 - c**3)*(52*c - 58*c - 78*c) + 4*c**4 - 6*c**4 + c**4 as u*c**2 + g*c + x + m*c**3 + n*c**4 and give n.\nAnswer: -253","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -20110 (base 4) to base 13\nAnswer: -31c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + 11*k**2 - 16*k - 7. Let p = -63 + 73. Let f be b(p). Let c = 147 + f. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j + 5. Let w = 5 - 4. Let y(m) = 50*m**3 + 2*m**2 - m. Calculate the remainder when y(w) is divided by d(8).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000053684 rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 - 6*c. Let x be p(-5). Suppose 2*y = -x*g, 3*g = -y - g. Find o, given that -o**2 + 0*o + y - 1\/2*o**3 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 4*x - 10 = 0, 14 = -2*s - 2*x - 0. Let d = 3.06 + -0.06. What is the second biggest value in d, 0, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1253\/(-4) - (-24)\/96. Let b = n + 937\/3. Suppose f = -3 + 17. What is the nearest to 1 in b, 0, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16980.\nAnswer: 2, 3, 5, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(130) + (sqrt(130) - 1*sqrt(130))))\/sqrt(10)*-2 + 0 - (-6*sqrt(156)*3)\/(-3*sqrt(768)).\nAnswer: -51*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*v + 10 = 17*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (0 + sqrt(1900) + (sqrt(19) - sqrt(304)) + -1)**2 - (sqrt(2736) + -1*sqrt(2736) + 3*(sqrt(684) - sqrt(19))).\nAnswer: -29*sqrt(19) + 928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 - 2. Let d be t(2). Let z be ((-3)\/(-198))\/(d\/18729). Let y = 203\/4 + z. Find the common denominator of y and -117\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2287647 and 109543309.\nAnswer: 111830956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p - 16. Calculate the least common multiple of d(14) and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1417)\/(-455) - (1 + 2))\/((-1)\/(-7))\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 5*v**2 + 11*v - 15. Suppose 0 = 2*a + 4*s - 110 + 122, -a = -2*s - 2. Let w(h) = h**2 + 2*h - 3. Calculate a*y(t) + 11*w(t).\nAnswer: t**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 1, 1384, 5 in decreasing order.\nAnswer: 1384, 5, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 - 2*o - 3. Let v be y(4). Suppose 2*p - g = -3*p + 11, -5*g = v*p - 35. What is the units digit of 43 - p*(-4)\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60 + 4 - ((-16 - -18) + 4 + -1)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 196 + 233. Suppose -k = -45 + m. Round k to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/72533 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -22202121 (base 3) in base 4?\nAnswer: -1203310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 3, 2035, -18, -3 in ascending order.\nAnswer: -18, -3, 3, 31, 2035","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/5, -3\/8, 928, -2\/5, -167, 2\/9, -3\/7?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/322 and 53\/66?\nAnswer: 10626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffl. What is prob of picking 2 f?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3\/4 (b) -7 (c) 0 (d) -8 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 228 divide 765135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 4*a**3 - 15*a**2 - a - 13. Let s(j) = 3*j**3 - 14*j**2 - 12. Let d(q) = 6*s(q) - 5*w(q). Is d(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -12. Sort 2, 3, m.\nAnswer: 2, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4722*i - 183653 - 127999 for i.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 1787200145162.\nAnswer: 1787200145163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -262 (base 13) in base 5?\nAnswer: -3133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 66 - 6 - 21*v**2 + 32*v**2 wrt v.\nAnswer: 22*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4\/34169 + -13941212\/2220985. Let s = x + 21829\/195. Let k = s + -1483\/15. What is the common denominator of k and 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 143663 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqmqqm. Give prob of picking 2 m and 1 q.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**(-3\/4)*f)**(17\/5))**48)**(-6) assuming f is positive.\nAnswer: f**(-13464\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/365874 and -103\/30001668?\nAnswer: 30001668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**3 - 14*o**2 + 4*o - 2. Calculate the remainder when u(8) is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 26381382?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 x when two letters picked without replacement from {j: 8, r: 1, x: 4}?\nAnswer: 16\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (335 - 310) + (-6 - (6 + -36))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + t = y - 13, 5*t = -20. Let x(i) = 7 + 2*i - y - 3*i + 2. Calculate x(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - 13*j**2 - 13*j - 3. Let w be h(-12). Let s = 18 - w. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 - 1974*f - 5939. Determine d(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of -7*n**4\/4 + 25*n**2\/2 - 3311*n - 3393. What is the first derivative of l(c) wrt c?\nAnswer: -21*c**2 + 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*6.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*b**4\/7 - 811104*b**3 + 4258494*b**2\/7 + 798430*b - 621012 = 0 for b.\nAnswer: -44358, -1, 7\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -45*m - 9. Let a be z(-1). Let r(o) = -229 - 229 + 458 + a*o. Let y(w) = -6*w. Determine r(y(h)).\nAnswer: -216*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of -q**4\/12 + 2*q**2. Let p = -8 - -10. Let b(u) = -8*u**2 + 16*u**2 - 7*u**p. Determine y(b(r)).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.920963504 - -0.921. Round k to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -5*s**2 - 2*s**3 - 6*s**3 + 7*s**3 + 17 - 16*s - 6*s**2. Is 7 a factor of d(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**2\/7 + 375*o + 18821\/7.\nAnswer: (o + 649)*(4*o + 29)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide (3\/1)\/((-30)\/(-2200))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5.784608 millilitres?\nAnswer: 0.005784608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (275\/(-440)*160)\/(3\/3*-4)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 5*x + 68, 3*m + 4*x = -2*m + 44. Suppose 0 = -3*f - 3*h + 3, 0 = 3*f + 2*h + 3*h + 3. Suppose -f*p + 28 = m. Put 3, -6, p in ascending order.\nAnswer: -6, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7911375 and 30000?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2096a4 (base 13) to base 11.\nAnswer: 4816a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*b + 12. Suppose h - 1 = b*c + 2, 5*c + 2*h - 6 = 0. Suppose c*w = -3*w + 33. List the prime factors of w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 + 3*u - 6. Suppose 0 = 2*q + 8, 0 = 2*s + 7*q - 6*q + 14. Let p be i(s). Which is greater: 2 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 1014 = -5*p + 1144, p - 426 = -5*b. Suppose -139 = -5*z - 4*a + 981, 2*z + 5*a = p. Does 13 divide ((-1)\/(-3))\/(2\/z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 - c + 1. Let o be w(8). Let z = o - -148. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7963417 - 120790.\nAnswer: -8084207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((((-510)\/(-119))\/10)\/(9\/12))\/((-468)\/(-42))\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from {u: 5, e: 1, a: 1, n: 1, d: 3, o: 2}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-6)*(-22)\/(-55).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 14*k**2 - k - 13. Is z(12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-104)\/(-6)*(-21)\/14. Let p be (7 - 357)*10*a. Round p to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q + 3*q + 3*q)*(q + 3*q**2 - q) + 2*q**3 - 2*q**3 - 3*q**3.\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 20103692 to the power of 1\/3, to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-48)\/(-14)*(-35)\/(-10). Suppose 16*l - 20 = p*l. Put l, 3, 0 in descending order.\nAnswer: l, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11603*y - 3*y**3 + 11577*y - 23180*y + y**3.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -137*i**3 - i**2 + 193*i - 7. Let q(n) = -46*n**3 + 65*n - 2. Let z(p) = 7*q(p) - 2*y(p). What is the second derivative of z(o) wrt o?\nAnswer: -288*o + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 AM and 9:46 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 695, 697, 699, 701, 703, 705?\nAnswer: 707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 545859601 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10427 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -58 - (2074\/(-30073) + 752\/(-29))\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (27 - (-14 + 42)) + -10?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + (2 - 2 - -38). Let k = l - 27. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1904916*h**2 - h - 1904914*h**2 + 3*h - 2*h.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*b + 32 = 104*b - 37*b for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 277988.5cm in millimeters?\nAnswer: 2779885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/((-135)\/20)*-1?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -61*x**2 + x. Let k(q) = q**2. What is k(s(v))?\nAnswer: 3721*v**4 - 122*v**3 + v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 597 or 596?\nAnswer: 597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-45)\/6)\/((-3)\/(-20)). Let i = d - -50. Which is smaller: i or -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3964 to two dps.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 36852 + -20248. Is 14 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*c + 30797 - 30761 = 4*f, 0 = 2*c - 4*f + 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*s - 90 = 11*s. Let c be (-9)\/s*2*5. Let p(d) = -2*d**2 - 4. Let x(u) = -3*u**2 - 7. Determine c*p(t) + 3*x(t).\nAnswer: t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-98515)\/2135 + 3\/21?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -4*((6*((sqrt(136) + -1*sqrt(136) + sqrt(136))*1 - sqrt(136)))\/(((-1*sqrt(144))\/sqrt(3))\/sqrt(6)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 55 and 23159555?\nAnswer: 254755105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34938330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2258\/5 or 451?\nAnswer: 2258\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of f**8\/8 + 2*f**5\/5 + 3*f**2 - f. Find the third derivative of s(p) wrt p.\nAnswer: 2520*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*f**2 - 800*f - 27500 = 0. Calculate f.\nAnswer: -110, -50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -4*r**3 - r**2. Let w = 5 - 4. Let t be s(w). Let j be (41 + -1)*t\/(-2). What is j rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 34 - -102232520?\nAnswer: 102232554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -5*y - 18, -3*y + 0*y + 6 = 3*t. Suppose 0 = -t*z + 2*z + 155. Let j = 32 - z. Solve 4*x = -j - 15 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -5512*u + 66143. Calculate j(12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-2)\/(n**(2\/7)*n)*(n\/n**(-1))**(2\/5)*((n\/(n\/n**1*n)*n)**(-6\/7))**(19\/5) assuming n is positive.\nAnswer: n**(-201\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*n - 140 = 12 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-56))\/(169\/((-60333)\/306)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of -47*i**4\/8 - 52*i**3\/3 - 14*i**2 + 3*i. Find the first derivative of d(z) wrt z.\nAnswer: -141","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 27? (a) -0.05 (b) 2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhvi when four letters picked without replacement from hiihiivihvvhii.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 + r**2 + 2*r**2 - 7 - 5*r**2. Let o be 16\/312*3 + (-4)\/26. Determine m(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**1\/a)\/(a*a**(-7)*a)*(a*a*a\/a**(-4\/3))\/a**(-2) assuming a is positive.\nAnswer: a**(34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1.4, -2, 61165?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from axaxkxkk. Give prob of picking 2 x and 2 k.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21290*i - 17 + 21278*i - i**3 + 1 + 276*i**4 wrt i?\nAnswer: 3312*i**2 - 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/1035 and -34\/1449.\nAnswer: 7245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 2 (c) 13\/5 (d) 3\/2 (e) 3 (f) -56.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-2)*12\/(11 - 5). Let o(u) = u**2 - 1. What is o(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 487681 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23534 - 7*z**2 + 3*z**2 + 23536 - 35*z**4 + (0*z**2 - z**3 + 0*z**2)*(-3*z - 3*z + 5*z) + 3*z**4 - z**4 - 4*z**4.\nAnswer: -36*z**4 - 4*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b + 292 - 3*b - 291. Suppose -n + 9 = -5*o, 8 = n - 0*o - 4*o. Let q(d) = -3*d + 1. Determine n*f(s) - q(s).\nAnswer: -s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - 4*d**2 - 14*d + 8. Let r be o(6). Does 4 divide -8 + (-16)\/r - -16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 19 = 6*t - 5*o, -4*t - 5*o + 1 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 3*y - 6 = y, 0 = -3*t + y + 12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k - 27. Calculate m(21).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.016445 + -6.79.\nAnswer: -6.773555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8914 + -124711\/14. Find the common denominator of -115\/28 and o.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of -32*v**7\/245 - 2*v**6\/5 - 3*v**5\/7 - 13*v**4\/56 - v**3\/14 - 32*v**2 + 1. Factor w(p).\nAnswer: -3*(p + 1)*(4*p + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 416 is divided by 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 11:54 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -38 + 40. Solve b + 9 = -i*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -232*b = -5*u - 229*b + 29, 0 = -3*b - 9 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - 6*(0 + -1). Let x be 102\/27 - (-2)\/9. Suppose -h = -x*h. Put 4, h, m in ascending order.\nAnswer: h, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 2, -5.\nAnswer: -8, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of 2*o**3\/15 - 648*o**2\/5 - 1298*o\/5 - 3958. Factor w(s).\nAnswer: 2*(s - 649)*(s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (26\/65)\/(1\/20). Let z(q) = -5*q + 4*q**3 + 5*q**2 - 2 - 11*q**2 - q**3 + u. Let h(p) = 3*p**3 - 7*p**2 - 6*p + 7. Determine 6*h(i) - 7*z(i).\nAnswer: -3*i**3 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) -2 (c) -684\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*n - 5*n. Suppose n*h = 42 + 10. Let v(x) = x**3 - 17*x**2 + 18*x + 5. Calculate the remainder when v(16) is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 51812 or 51933?\nAnswer: 51812","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Is 138844 a multiple of 263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 320 and 256.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2*x - 12 = 0. Let g be ((-2)\/54)\/(x\/24). Let w = -60 + 483\/8. Put w, g, 3 in descending order.\nAnswer: 3, w, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**1)**(-2\/25))**(8\/11))**(-3\/5) assuming x is positive.\nAnswer: x**(48\/1375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/3 + 157*d\/3 - 13426.\nAnswer: (d - 137)*(d + 294)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -963 + 29849\/31. Which is greater: 1 or m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -12 (b) -1.382 (c) 5 (d) 4 (e) 9\/4 (f) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2733, -180, 4081, 10050, 17727, 27112, 38205?\n\"Answer: 854*b**2 - 9*b - 3578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (44 - 42) + 2 + 0\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**2\/9 - 614420*v\/9 - 7169050\/3 = 0. Calculate v.\nAnswer: -35, 307245","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3990887+79\nAnswer: -3990808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of 5*p**4\/4 + 5*p**3\/3 - 5*p**2\/2 - 5*p - 25. Suppose g(z) = 0. What is z?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 4:31 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2541160714?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2288218 divided by -1.\nAnswer: -2288218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8136.4829 + -8136. Let w = 0.0171 + h. Which is the closest to -0.04? (a) 0.1 (b) 1\/4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 83 divided by -300127\nAnswer: -83\/300127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8 - 1514?\nAnswer: -151c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 914 + 86. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence the when three letters picked without replacement from {h: 7, t: 5, d: 1, x: 2, e: 1}?\nAnswer: 1\/96","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 2.8, 2\/17 in descending order.\nAnswer: 4, 2.8, 2\/17, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 84\/(-90) - 28\/(-21)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m + 4. Suppose -2*d = -2*a + 6, -4*a - 5*d = -6*a - 3. Let w = -33 - -47. Let f(s) = 0*s - 2*s - w + 10. Calculate a*p(i) + 5*f(i).\nAnswer: 2*i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -2\/7 (c) -0.2 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**2\/3 - 54*s - 2187 = 0. What is s?\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*d - 404 = 7*d + 40*d + 325 for d.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 84388143 >= 84388144?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 376 is divided by 76?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9 and 12.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 + 13*v - 33. Determine w(-16).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-196)\/24 + 4 - -4.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54471959 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55365.97 years to months.\nAnswer: 664391.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -35.3968975111 - 1458?\nAnswer: -1493.3968975111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 516453098?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 625675 (c) -73\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**3 - y**3 - y**3 - 4*y**3 + 0*y**3 - 14*y**3 - y**3 - y + y + (-4*y + 0*y + 2*y)*(-y**2 - 2*y + 2*y) - 5*y**3 + 3*y**3 + 0*y**3.\nAnswer: -20*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, a: 1, g: 1, p: 1, r: 1}. What is prob of picking 1 n and 1 r?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 - 6*k - 5. Let c be -13 - (4 + -14 - -3). What is u(c)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 315 + -310. Which is the third biggest value? (a) j (b) -1\/7 (c) 6 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 242 + 1247. List the prime factors of w.\nAnswer: 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 64*u - 1571. Calculate h(24).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 6*n**2 + 6*n - 1. Is y(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 75, 143, 219, 309, 419, 555, 723, 929?\nAnswer: 1179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 4*w - 444 = 0. Let c = 143 - w. Put -64, c, 2 in increasing order.\nAnswer: -64, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.018 + 0.182. Which is the closest to 0? (a) v (b) 0 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -14*l + 4. What is the tens digit of i(-11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-36965)\/3070 + 12)*-13*4\/60 and 53\/9.\nAnswer: 5526","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 + 33\/(10\/(-25)*(-30)\/4).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 61 (b) -2 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -98*i + 57*i + 124353. List the prime factors of i.\nAnswer: 3, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -53*g**3 + 84*g**3 - 36*g**3 - 4 - 6*g + (0*g**2 + 3*g**2 - 5*g**2)*(3 + 0 - 1)*(-4*g - g + 3*g) as d*g + w*g**3 + t + c*g**2 and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 108640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 81, 22, -155, -450, -863, -1394, -2043?\n\"Answer: -59*x**2 + 118*x + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0104512 rounded to three dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - (-2 - -1)) + 3\/3. Suppose 4*m - 296 = -6*f + k*f, -4*f = -m - 363. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14400 and 38592?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, z: 10, e: 3, b: 3, m: 2}. What is prob of picking 1 m and 1 t?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 19*p**2 + 4*p + 2. Let f be x(-2). Suppose -c + 2*d = -136, -78 = -c - 4*d + f. Does 10 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 + 10*g + 10. Let r be k(-8). Let n(f) = -7*f - 11. Let y be n(r). What is the highest common factor of 217 and y?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/1658141 and -81\/1810.\nAnswer: 16581410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 68893 by 6.\nAnswer: 68893\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (56 + 41*l**2 - 56)*(-6*l + 4 - 4).\nAnswer: -246*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19456166?\nAnswer: 2, 1289, 7547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*d - 5, 3*d - 2 + 3 = -2*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 10*n**2 - 5*n - 104. What are the prime factors of q(-9)?\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 725.3 rounded to the nearest 10?\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*q + 4. Suppose q*b = -3*b + 14500. What is b rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 301 a factor of 323274?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128481 is divided by 119.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 279430218 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 4*g. Let n = 17 + -15. Let h(p) = 0 + 2 - n - p. Give j(h(a)).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + -45 + 21 - (91 - (18 - 32)).\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*x**2 + 6*x**2 - 4*x**3 + 2*x + 2*x**3 + 6*x - 6*x - 225 to the form h*x + i*x**2 + k*x**3 + t and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -6*3215*(-2*(-6)\/(-12))\/1?\nAnswer: 2, 3, 5, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 8*n**2 + 11*n - 26. Let f(g) = 7*g**2 + 11*g - 26. Let k(m) = 5*f(m) - 4*t(m). What is the tens digit of k(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 8, 5*n = 2*v + 4 + 14. Let h(f) be the first derivative of 1\/3*f**n - 1 + 1\/9*f**3 + 0*f. Factor h(t).\nAnswer: t*(t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5663503 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 911 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*i = 32*i - 56 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(2))**2*5 + sqrt(2) + (4 + sqrt(10)\/sqrt(5))**2 + -4.\nAnswer: 29*sqrt(2) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + 6*r**2 - 5*r - 3. Let s be t(5). Calculate the common denominator of 48\/5 and s*(-68)\/24 + 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/6 and 13\/1070?\nAnswer: 3210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(7) + (sqrt(56)\/sqrt(8)*5 - sqrt(7)) + sqrt(28) + 0 + -1)*1)**2.\nAnswer: -2064 + 84*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -29*n + 1314. What is the tens digit of t(33)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 252 and 14427?\nAnswer: 57708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1777314, -3554607, -5331900, -7109193, -8886486?\nAnswer: -10663779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/5*10\/4. Suppose -12 = -3*l + v*u, 1 + 0 = -l - u. Solve -2*p + 7 = -5*p - l*y, y + 2 = -p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 226 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9987876 is divided by 99876?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -25819, -25820, -25821, -25822?\n\"Answer: -v - 25818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/4, -2\/3, 2\/11, 228, 2?\nAnswer: 228","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 + 24. Let i = q - 21\/4. Let d = 2 - 6. What is the nearest to -2\/5 in 2\/13, d, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5809 and 2334515.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 177 >= 177?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 14.06211ml?\nAnswer: 0.01406211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 93332 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of -f**5\/20 + 5*f**4\/6 + 11*f**3\/6 + 5*f**2 + 10*f. What are the prime factors of b(11)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 9*q - 33. Let m be k(-6). Let j be m\/(-27) - 3 - 1\/(-36). Let t = -0.1 + 4.1. Which is the closest to 2\/3? (a) -1\/9 (b) t (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 + 3. Let r = -14 - w. Which is the biggest value? (a) 0.2 (b) r (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -41*c**5*l + 270*c**3*l + 238*c - 11*l wrt c.\nAnswer: -820*c**3*l + 1620*c*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/12*(1 - -11). Let j be -2 - (-1 + r + -6). Solve 2*f - 6*o + 4*o = -j, 4*f + 4*o + 20 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j**3 - 5*j**2 - 4*j - 1. Let b be t(-3). Let l = -36 - -43. Suppose -l*m = -18 - 17. Calculate the greatest common divisor of b and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -37*y**3 + 44*y**2 - 6*y - 1. What is the units digit of t(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 9797074?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -7*h. Let i(d) = 4*d. Let z(n) = 10*i(n) + 6*t(n). Let g(b) be the third derivative of -b**5\/15 - 14*b**2. Determine g(z(m)).\nAnswer: -16*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of -7*j**3\/6 - j. Let a(r) = 7*r - 5*r - r. Determine l(a(y)).\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-3)*(-5 + 149). Let y = -2498\/13 + w. Sort -0.4, 3\/5, y, 0 in increasing order.\nAnswer: -0.4, y, 0, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003324103 to six dps.\nAnswer: -0.000332","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*b + 7, 3*b - 5 = -4*m. Let n be -4 - (1 + -4) - -46. Let s = n + -5. Calculate the highest common factor of m and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -4*l**3 + 2*l**2 - 5. Let q(a) be the first derivative of -2*a**4 + 4*a**3\/3 - 9*a - 9984. Determine 5*j(h) - 3*q(h).\nAnswer: 4*h**3 - 2*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of -g**6\/48 - 9*g**4\/4 - 12*g. Let w(d) be the third derivative of l(d). Let a(s) = -s**2. Give w(a(v)).\nAnswer: 15*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 5*u - 105 = 3*l, -u + 195 = 5*l. Let q be ((-128)\/l)\/((-3)\/(-5) - 1). Suppose 4*d = -q + 20. Solve 0 = -x - 3*t - 4 - 0, d*t = -2*x - 8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22179184189 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p + 7. Let f be q(-6). Let j be 31 + (-2 - (-1)\/(-1)). Suppose 0*h + 4*h = j. What is the greatest common factor of h and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 521*x + 3. Let v be d(1). Let n(k) = -v + 524 + 30*k. Let m(t) = -2*t. Give m(n(u)).\nAnswer: -60*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/867618 and -51\/11.\nAnswer: 9543798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69755.49 centuries to decades.\nAnswer: 697554.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3962466 = -0*i. Let u = 731233 + i. What is u rounded to the nearest one hundred thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/201?\nAnswer: -1\/201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 49.006ml?\nAnswer: 0.049006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -4*v - 15, -6 = v + 3*v - 2*l. Let b = 8.7 - 9. Is b not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56347*j**2 - 169038*j**2 + 56349*j**2 + 56349*j**2.\nAnswer: 7*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 divided by -4?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3351238 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4201967 divided by 381997\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29\/5 + -503\/85. Let u = -0.22 - -0.02. Which is the closest to 1\/4? (a) u (b) l (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -174 + -269. Let l = k - -441. Which is smaller: l or -3\/4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 7, y: 4, w: 2, m: 3, q: 2}. What is prob of picking 2 q?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2.1938l?\nAnswer: 2193.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 294\/(-1742) - (-6)\/39. Let y = -73\/402 - t. What is the closest to -2 in 3, 2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 3*f + 2136 = -4*z, -4*f = 2*z - 2870. Suppose -47*k = -43*k - f. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 a, and 2 j when four letters picked without replacement from {j: 1, a: 2, n: 2, k: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 136 + 8509?\nAnswer: 8644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -35, -169 in descending order.\nAnswer: -1, -35, -169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 232900 to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 294093 - 199294. Let r = b - 94798.9959931. Let p = r - 0.004. What is p rounded to 6 decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -15*c**2 - 5*c**2 + 3*c - 2 + 16*c**2. Let b be g(3). Let s = b + -147. Round s to the nearest 10.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410655 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 5:12 AM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-21))\/(-3*(-4)\/36)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 3\/5, 186, -4, 1\/2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 10, p: 10}. Give prob of picking 1 p and 2 o.\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 101*k**2 - 200*k + 146. Is g(-99) a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 3 - 17*g**2 + 18*g**2 + 2*g to p + q*g**2 + w*g and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001408405 to five decimal places.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 3*t = 209, 154 = -j + 5*j + 2*t. Suppose 0 = 4*p + p - j. Let q(a) = -a**2 + 15*a + 11. Is q(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -3*s**2 + 6*s + 10. Let l(k) = -k**2 + 1. Let p(v) = -4*l(v) + n(v). Let w be p(-4). Which is greater: w or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(8\/(-36)*-3). Let x be (-38)\/g*(-15)\/10. Let c(n) = 2*n**3 - 31*n**2 + 12*n + 25. Let l be c(15). Which is smaller: l or x?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*o - 4098*o**2 - 34*o - 37*o.\nAnswer: -4098*o**2 - 5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 489875 divided by -13\nAnswer: -489875\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 34833249 and 1476?\nAnswer: 34831773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -558.0007113 + 558. Round x to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.883016456 rounded to two dps?\nAnswer: -0.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(84))\/sqrt(7))\/(6*(sqrt(216) - sqrt(6))).\nAnswer: -sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152*v + 0*v = 49*v - 263147190. Round v to the nearest 10000.\nAnswer: 1310000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h + 7 = 3*h. Suppose 0 = -2*o - 3*o. Let d(j) = j**3 + j**2. Let y be d(o). Which is the closest to y? (a) 0.4 (b) h (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*n + 141*n - 36*n - 19*n.\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 20 (b) -184 (c) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1690469 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 69198838 a multiple of 1184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is eight fifteenths of a decade in months?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24415, -7, 44 in decreasing order.\nAnswer: 24415, 44, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52510.94 nanometers to micrometers.\nAnswer: 52.51094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13 + 8*k**2 + 5*k**2 - 3*k**2 + 2*k**2 wrt k.\nAnswer: 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -5*l**3 - 4530*l**2 - 1368060*l - 137718040 = 0.\nAnswer: -302","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30660 and 10500?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t - 511 - 494 + 1514 - 488.\nAnswer: t + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 1969 + 2009 = l, 3*l + 33 = -5*c for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/6 of a week?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1941?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9268 - -9263. What is the closest to 0.1 in t, 0, -154?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 334, 530, 726, 922?\nAnswer: 1118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 16*c**2. Let w(t) = -185*t**2. Calculate n(w(k)).\nAnswer: 547600*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -368*z - 723. Is b(-38) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 4*r - 2*r**3 + r**3 - 4 - 5*r**2 + 2*r. Give x(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -20108*(7 + 2\/(-4)*15). Calculate the highest common divisor of 66 and a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a century in months?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/960 and 71\/822528.\nAnswer: 4112640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(5\/8)*z)\/z)**(-15\/7) assuming z is positive.\nAnswer: z**(-75\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 26729107 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-74)\/12 + (3 - 30\/(-10))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -105\/782221?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 213883643.\nAnswer: 37, 89, 64951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 8 + 5*i)*(i - 4*i + 2*i).\nAnswer: -5*i**2 + 7*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60053, 119988, 179923, 239858?\nAnswer: 299793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 5*n**2 + 3*n - 3. Suppose 5 = -3*x - 4. Let l be i(x). Let u = 2 + l. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 385.\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 6*w**2 + 82*w + 54. Let n be q(-13). Let x(o) be the second derivative of 0 + 1\/12*o**4 - o**n + 7\/6*o**3 + 8*o. Determine x(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*36\/(-270)*35?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -0.1, -4, 28?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 + (-87)\/24)\/(1\/(-8)). Suppose -u - j*o = -6*u, 0 = u - 3*o. Solve u = 5*c - 52 + 57 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000331399125 to seven decimal places.\nAnswer: 0.0000331","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 5) in base 14?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2*s + 4*v = -149, -499 = -3*s - v. Suppose 5*t = 5*q - 320, 4*q - 131 = -4*t + s. Suppose r = 4*r - q. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 - 2*l**2 + 165*l - 12. Calculate a(-14).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 534875979 to the nearest integer?\nAnswer: 812","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - 2*z**3 - z)*(-4*z**2 + z**2 + 5*z**2) + 5*z**5 + 4*z**5 - 3*z**5.\nAnswer: 2*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-78)\/(-95823)*27)\/((-1)\/21)\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54402*k**3 + 37617*k**3 - 41988*k**3.\nAnswer: -58773*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1120 - -1496. Calculate the greatest common factor of y and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -120754655.\nAnswer: -3\/120754655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -190 - -788. Suppose 2*x - 3*x = -o + 191, -3*o - 2*x + l = 0. What is the greatest common factor of o and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -2.1. Let s = -28 + 41. Suppose 0 = -b + 4*k - s, 1 + 3 = 2*b + 2*k. What is the closest to b in -3, w, 0.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 36*x**2 - 12. Let i(b) = -3*b. Calculate a(i(w)).\nAnswer: 324*w**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 27165 to the power of 1\/2, to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/(-4)*1*-1. Let a = c + 8. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-14))\/(-4 - (-237)\/63)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 + 5*v - 15. Let n(j) = 4*j - 16. Let q(f) = -4*h(f) + 3*n(f). Factor q(a).\nAnswer: -4*(a - 1)*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -18681*l**4 - l**3 - 2*l**2 + 9*l - 36321764.\nAnswer: -74724*l**3 - 3*l**2 - 4*l + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 10 = b + 8, 2*u = -2*b + 4. Suppose -l = -2*w + w + 5, 4*w - 15 = 5*l. Calculate the highest common divisor of u and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2614 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3545864116 to the power of 1\/3, to the nearest integer?\nAnswer: 1525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/2090 and 36\/1765?\nAnswer: 737770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21.548013273 + -2565574.552913273. Let i = -2565433 - g. Let z = -120 + i. What is z rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 28*k*r**3 - 799006*k*r - k + r**3 - 1291*r**2 + 3*r - 157 wrt k?\nAnswer: 28*r**3 - 799006*r - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3912 divided by -23778.\nAnswer: 652\/3963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k**3 + 23*k**2 + 13*k - 8. Let s be x(12). Suppose -5*m = -4*v + 147 + 120, 0 = -s*v - 2*m + 246. Does 63 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 645298 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 2*r - 14 = 0, -2*t + 0*t - 2*r + 4 = 0. Suppose -5*n = -9 - 1. Calculate the remainder when (n\/t)\/((-2)\/(-670)) is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 2*p + 74, -3*b + 5*p = -4*b + 4. Solve b = 2*t + z - 3*z, -3*z = -4*t + 23 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 14570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of -j**8\/2240 + j**6\/360 - j**5\/120 - 2*j**4\/3 - 8*j. Let i(v) be the third derivative of q(v). Give i(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - i + 17 = -2*v, v + 5*i - 13 = 0. What is the remainder when 10 is divided by (-1)\/((-1)\/v*-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3 - 204*a**2\/5 + 144*a - 256\/5.\nAnswer: 2*(a - 16)*(a - 4)*(5*a - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 213132300 + 3421?\nAnswer: 213141221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-422)\/90*36\/(-33). Let t be ((-95)\/5*6\/2)\/(-11). Let c = z - t. Which is smaller: 1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*g**2 + 26*g**2 + 181*g + 6*g**3 - 6*g**3 - g**3 - 39*g**2 to the form o*g**2 + c*g**3 + b + u*g and give u.\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -450 - -449.9356. Let c = -0.0356 + q. Is -8 >= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 189*c**2 + 43*c + 10. Let u(h) = 283*h**2 + 65*h + 16. Let k(t) = -5*u(t) + 8*x(t). Find the second derivative of k(j) wrt j.\nAnswer: 194","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 1857904?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 12*n + 16*n - 80, -2*n = -4*u + 104. Let l be (-2*u\/8)\/(-2). What is the second biggest value in -44, 0.3, l?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -i - 1792, -2*i = -5*b - 1461 + 3701. Let k(j) = -j + 3*j + 896*j**2 - b*j**2 - 449*j**2 - 1. Give k(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -254, 5, -2, 204 in descending order.\nAnswer: 204, 5, -2, -254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -183310, -183309, -183308, -183307, -183306, -183305?\nAnswer: -183304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -851*l + 58878 = 280*l + 18132 - 63306 for l.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.555888 to three dps.\nAnswer: -1.556","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3\/5))**4 assuming w is positive.\nAnswer: w**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(1377) + 0 + 4)*-2 - ((sqrt(1377) + (sqrt(1377) + 1)*3)*-1)**2).\nAnswer: -22051 - 234*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 + 9*l**2 - 33*l + 130. Let k = -12791 + 12798. Calculate j(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9\/4*b**3 + 3*b**2 + 0 - b.\nAnswer: -b*(3*b - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1498448 to the power of 1\/2, to the nearest integer?\nAnswer: 1224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do -224 and -209 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -85.9347 rounded to one decimal place?\nAnswer: -85.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10 and 175.\nAnswer: -1750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/10 and -7 + (-2681)\/(-490) + 0?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f**2 - 8*f + 4. Let n be j(-4). What is the first derivative of 3*m**2 + 2*m + n*m + 279 - 134 - 96 wrt m?\nAnswer: 6*m + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - -5)*6\/(-2). Let z = 28 - p. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1c + -b?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 213 - 889 = -4*c. List the prime factors of c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 785 is divided by 38.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/13))**2\/(m**(2\/5)\/(m*m**(4\/3)\/m)) assuming m is positive.\nAnswer: m**(242\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -27 + 7. Let h be (-6 + 216\/40)*5\/(-6). Which is the closest to -2\/3? (a) -1\/3 (b) p (c) h (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1050, 11358, 40188, 96798, 190446, 330390?\nAnswer: 525888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 212323777 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, y: 3}. What is prob of picking 2 y?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, 4, 198, 3, 1157, -19 in decreasing order.\nAnswer: 1157, 198, 4, 3, -1, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 2. Let h = -11\/26 - 1\/13. What is the closest to h in y, 0.1, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 159\/33 + (-4)\/(-22). Suppose -l*q - 6*o + 2*o + 564 = 0, -335 = -3*q + o. Suppose 5*t - 38 - q = 0. What is the greatest common factor of 6 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.995004509 and 59?\nAnswer: 59.995004509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38, -186, -332, -476?\nAnswer: -618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 1)*(-11 + 20*f - 12*f - 6*f)*(-3 - 4 + 5).\nAnswer: -12*f + 66","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 4807, 3\/2.\nAnswer: -3, -2, 3\/2, 4807","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/32 and -11\/459796.\nAnswer: 3678368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23350.\nAnswer: 2, 5, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 42*c**2 + 6*c - 6. Let q be g(3). Suppose 2*l + 4*l - q = 0. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, 0.13, -1\/7, -3, -2\/29 in increasing order.\nAnswer: -3, -1\/7, -2\/29, 0.13, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1b + 5?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - 1. Let q = 28 - 31. Let t = q - r. Calculate the least common multiple of 11 and t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (7468\/(-6))\/(236\/(-63366)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 213514979 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l - 3. Let o be u(-3). Suppose o = 2*y + 4*j - 60, 4*y - 4*j = -0*y + 132. Calculate the remainder when y is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30084 * -5\nAnswer: -150420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 13\/((9\/18)\/(-1))*(-3)\/6\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22541 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 305555*r**2 - 1527771*r - 20 = 0. What is r?\nAnswer: -4\/305555, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - -440?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122021*i**2 - 11*i**3 + 122021*i**2.\nAnswer: -11*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 16*x**2 + 4*x - 4. Let p(k) = 305*k**2 - 68*k + 0 + 3 + 65*k - 320*k**2. Calculate -3*i(l) - 4*p(l).\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 16 = -6*d + 2*i, 20 = 5*d - 4*i. Suppose -u + 140 = d*w - 4*u, -5*w = -2*u - 175. Suppose 0 = 2*y - 7*y + w. What are the prime factors of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 32019525 to the nearest integer?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 1\/4, 218.1 in decreasing order.\nAnswer: 218.1, 1\/4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 10*g + 4788 = 0. What is the common denominator of 143\/30 and 9215\/g*(2\/(-40) - 0)?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.12 and -3444004137.1.\nAnswer: -3444004137.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 - 20. Let n be (18\/15)\/(c\/15). Find the first derivative of 24 + j - 9 - n wrt j.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s + 9*s**3 - 3134*s**2 + 3179*s**2 + 8*s**3 + 2*s to n + v*s + r*s**3 + x*s**2 and give x.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s = -8*s - 18. Solve 4*w + s*r - 29 = 0, 0*r - 2*r = 4*w - 26 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1983*-0.5.\nAnswer: 991.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/y**(-5\/7)*y)\/y**(-2\/7))**(-13\/2))**49 assuming y is positive.\nAnswer: y**(-1911\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7215765 - 1?\nAnswer: -7215766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 - -15. Let c be (r\/6)\/((-42)\/31029). Let q = 1449\/4 - c. Do q and -6 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*k = -69*k - 4. Is -149*(-2 + 10*(-2)\/k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 283372942?\nAnswer: 2, 151, 521, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j + 51*j - 189 = 0. Let w(k) be the second derivative of 6\/5*k**6 + 4*k**5 + 19\/6*k**j + 0 + k**2 + 61\/12*k**4 - 9*k. Solve w(m) = 0.\nAnswer: -1, -1\/2, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*c**2 + 4*c**2 + 2*c**3 - 4*c**3 + (7*c - 23*c + c)*(14*c**2 + 94*c**2 + 117*c**2 + 153*c**2) to the form s*c**3 + a*c + b + j*c**2 and give s.\nAnswer: -5672","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001102521 to 6 decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (8\/18)\/(39\/(-351))*312\/48\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.38 rounded to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 - 20*m + 29. Let t be o(-21). What is the highest common factor of t and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 19640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 3*g + 5*c, 5*g - 223*c - 70 = -224*c for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -53465, -53564, -53669, -53780, -53897?\n\"Answer: -3*j**2 - 90*j - 53372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*f + 14*f - 75*f - 223*f.\nAnswer: -345*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34\/12*-2)\/(168\/504).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**2 - 5*z**2 - 1237*z + 1237*z.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -162315 by -10821.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -5*7\/294*(6\/5)\/(42\/28)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -405*y**3 + 180*y**2 + 4480*y + 5120.\nAnswer: -5*(y - 4)*(9*y + 16)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 64*h - 64*h + 5*f - 5, 0 = 5*h - 5*f + 30. Let i = 2\/15 + -7\/15. Which is the closest to 2? (a) i (b) h (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 0*g = -4992. Let v = 35232 - 35212. What is the lowest common multiple of g and v?\nAnswer: 12480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.39578 + -4.39581. Let a = i + 4. What is a rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nxn when three letters picked without replacement from nuunbbnnnnxnnnnnnnb.\nAnswer: 26\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30 - 20. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51583*p**2 - 3*p**3 - 51422*p**2 + 154435*p**2 - 51430*p**2.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -2\/9*j**2 + 176\/9*j - 3872\/9 = 0?\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/(-2)*(-42)\/420.\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (556 + 211 + 841)*(-q**4 + q**4 - 2*q**4) in the form l*q**3 + z*q**2 + o*q + i*q**4 + k and give i.\nAnswer: -3216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 72*p + 1. Determine n(2).\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, a: 2, e: 1, q: 3}. What is prob of picking 1 d and 1 e?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -855.2 - -680. Let s = -175 - r. Let h = 1.72 + 0.38. What is the third biggest value in h, s, 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**5\/3 - 2*p**4\/3 - 3*p**3 + 6*p**2.\nAnswer: p**2*(p - 3)*(p - 2)*(p + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of 8*x**7\/7 - 10*x**3\/3 + 14. Find the third derivative of k(c) wrt c.\nAnswer: 960*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3003605 meters in micrometers?\nAnswer: 300360.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 134128 to the power of 1\/2, to the nearest integer?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -44383, -84022, -123661?\n\"Answer: -39639*g - 4744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 313957 less than or equal to 313957?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 PM and 5:44 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1570102 and 86.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 != 27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/3 - (-2 - 87). Let r be 4 - -1 - (1 - (-3 + 3)). Suppose 4*j = 2*a - 8 - 0, 38 = r*a + 3*j. What is the highest common divisor of a and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(2838\/154 - 18).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (x + 0*x + 0*x + (1 + 3 - 6)*(8*x - 3*x + 0*x))*(0*x - 9*x + 0*x)*(2 - 2 - 5) to m*x**2 + j*x + p and give m.\nAnswer: -405","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a milligram in micrograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 205 minutes before 6:08 AM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 28331.2*-0.16.\nAnswer: -4532.992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/10 + (-340)\/(-50)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62140183849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 - 3\/((-15)\/(-25)). Which is the closest to n? (a) 1 (b) 4\/3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -334*i + 2061*i - 622*i - 313 - 448*i + 315.\nAnswer: 657*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 6933391 (base 11) to base 9\nAnswer: 24733351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 38 = 2*o, -3*p + 4*o - 64 = -7*p. Let m = p - 20. Let y be (-3)\/2*20\/m. Which is the third smallest value? (a) -4 (b) y (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**4\/4 - 261*o**3 - 4189*o**2\/4 - 786*o = 0 for o.\nAnswer: -3, -1, 0, 1048","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 13*g + 16. Let b(p) be the third derivative of -p**6\/120 + p**5\/60 + p**4\/8 - p**3\/3 - 12*p**2. Give b(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 11:30 AM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 16 = -2*u, 5*p + u + 32 = -2*u. Let y = 1 + 0. Which is the third smallest value? (a) p (b) y (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17692 - 92*q**3 + 17692)*(-9*q**2 + 10*q**2 - 21*q**2).\nAnswer: 1840*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 551373028?\nAnswer: 2, 6317, 21821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8554 + -4658. Suppose -642*p = -650*p + v. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6161*s - 6177*s + 144 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13*h**2 + 3*h + 6*h**2 + 14*h**2)*(0 + 3 - 2) to the form p*h + a*h**2 + x and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*o - 17*o = 1160. Let u(f) = f**3 + 6*f**2 - 5*f + 7. Calculate the remainder when u(-6) is divided by o\/140 + (-4)\/14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 4*w + 20. Calculate i(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 880\/(-48) - ((-14)\/6 + 2). Does 12 divide (0 - (-2 + 18))*f\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + 0)**2*2 - (-2 + sqrt(17) + 2).\nAnswer: -sqrt(17) + 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a\/(a\/(a*a**(3\/2))*a))\/a*a**(-8))**36)**(-24) assuming a is positive.\nAnswer: a**5616","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -8. Suppose 43 + 47 = -n*x. Calculate the common denominator of -61\/4 and (245\/x)\/(2\/(-4)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2*u + 22 = 0, 0*j - 2*j = -4*u + 28. Let v be (6\/j)\/((-513)\/(-36)). Sort 0.2, v, -1\/5, 1\/3 in ascending order.\nAnswer: -1\/5, v, 0.2, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 + 614?\nAnswer: 551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -105\/52 and -79\/52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 334243985 is divided by 2158?\nAnswer: 2155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -72 + 74. Is s smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-10))\/((-64)\/160).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -27 + 4*d + 27 - 11*d. Let p(y) = -3*y**2. Determine i(p(f)).\nAnswer: 21*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2 + 2082*y - 361227.\nAnswer: -3*(y - 347)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10850 by 434.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/6 - ((-18)\/(-4) - -1). Put f, 1, 3 in ascending order.\nAnswer: f, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 p when two letters picked without replacement from {z: 4, p: 2, o: 2, n: 1, s: 5}.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -426 take away 12521618601?\nAnswer: -12521619027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 2.1 (c) -2\/13 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -87 + 45 - 392*d + 42 in the form c + n*d and give n.\nAnswer: -392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -4*t - 40, 5*m - 540 = -3*t - 522. Solve -g = -3*i - 101 + 78, -i - m = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qs when two letters picked without replacement from sqsssqsttiqis.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-12)\/27)\/((-5)\/(-66)). Let z be -1 + 2\/6 - 5. Let w = n - z. What is the nearest to 0.1 in w, -5, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p - p = 3*v - 10, 4*p = -2*v for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -79 or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of 9087*p**4\/4 - 4899*p**2 + 10054. Find the second derivative of m(q) wrt q.\nAnswer: 54522*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k**2 + 197*k - 1108. Let v be x(6). Let l = 813 - 4038\/5. What is j in 27\/5*j**3 - l*j + 6\/5*j**v - 6\/5 = 0?\nAnswer: -1, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -235886 (base 13) to base 8\nAnswer: -3152014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1152 + -350. Suppose -22*k = 98 - v. Calculate the smallest common multiple of k and 36.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of -7*i**4\/4 + i**3\/3 - i**2 - 4*i + 8. Let k be l(-4). Suppose -f = 3*f - k. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21*(13545\/2058)\/(-215)\nAnswer: -9\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 11, -2, -15?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5433*f**4\/5 - 11409318*f**3\/5 - 1597309560*f**2 - 372709092000*f - 1234800000.\nAnswer: -3*(f + 700)**3*(1811*f + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6790697*y**3 - 2*y**2 - 2202800*y?\nAnswer: 40744182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 0, -92, -2 in decreasing order.\nAnswer: 0, -2, -16, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/6 + (-26)\/6. Let f be 37\/7 - i\/(-14). Suppose 4 + 16 = f*g. Solve 0 = 2*h + 5*w, 0 = g*h - 3*w - 5 - 21 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24676 and 182284.\nAnswer: 796","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-81*l**2 - 54*l**2 + 37*l**2)*(4 + 3 - 3) in the form a*l**2 + h + r*l and give a.\nAnswer: -392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -g + 10. Let k = -4.5 - -4.2. Which is the biggest value? (a) 2 (b) g (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2192051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + b + 16 = -3*b, -5*b - 9 = -4*s. Let k be 0 + s + 1 + (-9 - -20). Suppose 0 = -5*l - 0*l + 40. What is the greatest common factor of l and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -5*h**3 + 998*h**2 + 395*h + 1063. Give t(200).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -96*g**2 - 3*g + 3. Let p(b) = -191*b**2 - 5*b + 9. Determine 5*n(c) - 3*p(c).\nAnswer: 93*c**2 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 14311?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 0 - 2*b**2 + 0*b**2 - 4 + b**3. Let n = -4 + 7. What is the units digit of k(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = 7*x - 1 + 1, -21 - 1 = -2*t - 4*x - 8*x for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of -j**7\/630 - j**5\/40 + 7*j**4\/12 + j. Let u(x) be the third derivative of r(x). What is the first derivative of u(g) wrt g?\nAnswer: -8*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*h + 24*h = 600. Let f = h - 85. Is 11 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4390 is divided by 123.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*v = -42*v + j + 12, j - 24 = -8*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*j = -58*j + 40 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a gram in milligrams?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 725690426 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 12121201203 (base 4) to base 6\nAnswer: 55541443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 136*n = 140*n - 8, -16 = -18*h + 2*n for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 99 = -2*o - 39, -2*o = -2*d + 276. What are the prime factors of d?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - 0)\/((-3)\/3). Suppose m = x - 3*l - 2 - 15, 0 = 5*x + l - 5. Solve -2*u - x*u = -4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 AM and 1:00 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/761, -111, -5 in increasing order.\nAnswer: -111, -5, -1\/761","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 1642*n - 1645*n = -26 - 16, 83*w - 3*n + 762 = 0 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23221230 - 20?\nAnswer: -23221310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.48 - -0.02. Let k = -43000\/3 + 14332. Which is the second smallest value? (a) -6 (b) k (c) 0 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 43, 231, 551, 991, 1539, 2183?\n\"Answer: -2*w**3 + 78*w**2 - 32*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 346193767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - 18*s**2 + 10*s + 101. Let z be l(-17). Let i = z - -732. Is 19 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 142 * -40.8.\nAnswer: -5793.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of v**4\/12 - 5*v**3\/6 + v**2. Let a be f(4). Let l be 1*3\/a - 4. Sort l, -2, 3 in decreasing order.\nAnswer: 3, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*v**2 - 49*v**4 + 155*v + 44*v**4 + 105 - 43*v**3 - 155 + 22*v**2 = 0. Calculate v.\nAnswer: -5, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -440.3 - -440.3. Is -1\/525 equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5070374 to the nearest 100000.\nAnswer: -5100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -38\/3 <= -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -88 + 46. Let m = 42 + p. What is the second derivative of 5*g - 11*g**4 - 8*g - 2*g + m*g**4 wrt g?\nAnswer: -132*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 544221671.\nAnswer: 7, 77745953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (378 + 6*s**5 - 378)*(0 + 1 + 1).\nAnswer: 12*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 15801497669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -5*s**2. Let o(v) = -17*v. Let r(d) = -611*d. Let m(j) = -143*o(j) + 4*r(j). Calculate m(f(x)).\nAnswer: 65*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (-36 + 23 + -3).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 531638 is divided by 176403.\nAnswer: 2429","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22312 divided by 4.\nAnswer: -5578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5941 and 2285?\nAnswer: 29705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 759 + -609. What is the remainder when 581 is divided by q?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 3) in base 4?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35 - -38. Suppose 0 = 2*a + 3 + 13. Let s be (-162)\/(-45) + (-2)\/(-5). Sort s, v, a.\nAnswer: a, v, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in six fifths of a minute?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8*(-42)\/(-12) + 2 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16183 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 3*d + 11 = 0, -14 - 5 = 5*v + d for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -389.5 + 390. What is the second smallest value in -2\/13, w, -2\/19, 3?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -924*u**3 - 8012*u**2?\nAnswer: -5544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 25*a**3 + 17*a**2 + 4*a + 17. Let j(t) = -12*t**3 - 8*t**2 - 2*t - 8. Determine -13*j(k) - 6*z(k).\nAnswer: 6*k**3 + 2*k**2 + 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(1\/3)\/z)**(29\/4) assuming z is positive.\nAnswer: z**(29\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97 - 64 = 16*b - 5*b. Solve -l + 3 = -2*v, b*v + 3*l = -25 + 16 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 29*y**3 + 7*y**2 - 13*y + 7. Determine v(3).\nAnswer: 814","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 38605379 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kffkkkkkkkkfkk. Give prob of picking 3 f.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of a**4\/12 + 69*a - 14. Let r(z) = -3*z**2 - 252. What is r(y(i))?\nAnswer: -3*i**4 - 252","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34 + 15 - 4*i**3 + 19.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149 = 69*c + 828 + 632 for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, k: 2, h: 7, l: 4, c: 2}. What is prob of picking 1 h, 1 k, and 1 g?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -s**4\/4 + 8*s**3\/3 + 5*s**2\/2 - 12*s + 4. List the prime factors of y(8).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i + 1. Let r = -72 + 73. Let h be c(r). Suppose h = 3*u - 10. Solve 5 = u*p - 5*k, -2*p - 2*k - 2 = -0*k for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/((-28)\/24))\/(31\/109368*-54)\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -13.7, -3\/4, -0.1, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -54 - -5. Let v = a + 33. Let n be v\/4 - 1*-8. Solve -n*g = g - 25 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 530249 - 0.1\nAnswer: 530248.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + g)*(98 - 3*g**2 - 98) - 9*g**3 + 4*g**3 - 7*g**3 in the form p*g + m*g**3 + i*g**2 + s and give m.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2*3)\/(-4 - -3). Suppose -p*a + 5*a = -3. Let s(c) = -4*c**2 + 2*c + 4 + 3*c**3 + 11*c**3 - 13*c**3. Calculate s(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -40\/3 - -13. Let s = 0.2 - 0.7. Let i = -0.7 - s. Put i, -1\/2, m in decreasing order.\nAnswer: i, m, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.43 times 49287\nAnswer: 218341.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-192 + 308 - 291)*(-9*u - 2 + 2).\nAnswer: 1575*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25346143*3.\nAnswer: -76038429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 14) in base 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 982308, 1965371, 2948446, 3931539, 4914656, 5897803, 6880986, 7864211?\nAnswer: 8847484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -32*s**3 - 7*s**2 + 11*s + 11. Let a(c) = 6*c - 1 + 4 - 4*c**2 - 4 - 9*c**3 + 7 - 7*c**3. Determine 11*a(z) - 6*i(z).\nAnswer: 16*z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -2*p**2\/7 - 8534*p\/7 = 0.\nAnswer: -4267, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t + t - 1297*t**2 + 658*t**2 + 639*t**2 - 23569*t**3.\nAnswer: -23569*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 12*((-2)\/(-7))\/(192\/(-448))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 0.2, -4\/11, 2.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-10))\/((-531)\/(-295)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(0 + sqrt(1300))*-3)**2*-3*-6.\nAnswer: 3369600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7903466633 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -26234.\nAnswer: -52468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 g, and 1 n when three letters picked without replacement from {n: 1, g: 5, l: 7, t: 3}.\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/28 in 3, 2\/7, 1, 2, 4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 876662, 876993, 877314, 877619, 877902, 878157?\nAnswer: 878378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -5*w + 5. Let f = w + -4. Calculate the remainder when 25 is divided by (-12)\/f - (-2 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxxxxxxaxyxxxxxdox. Give prob of sequence odx.\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 39*y + 12 - 27 + 15 as o*y + d and give o.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s + 340*s**3 + 2*s**2 + s**2 - 71*s**3.\nAnswer: 269*s**3 + 3*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2576 divided by 527.\nAnswer: 2576\/527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (7 - ((11 - 3) + -7)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 38899 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 5*z - 5, 5*z = 6*i - 2*i - 5. Let d = z + -6. Let t(p) = p - 8. Let g(j) = -1. Let h(u) = 6*g(u) - t(u). What is h(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10779 divided by 2?\nAnswer: 10779\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - 5*u**2 - 6*u - 2. Let o be q(6). Let s = 8 - o. Let y(j) = 69*j**3 + j. Let a be y(1). What is the greatest common factor of a and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -2*w**4\/3 - 170*w**3\/3 - 318*w**2 - 454*w\/3 + 1580\/3 = 0.\nAnswer: -79, -5, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(147)*-2)**2.\nAnswer: 28*sqrt(3) + 589","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/9 (b) -2\/9 (c) -1\/89 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1571*0.08.\nAnswer: -0.012568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1613\/7 + 230. Let i = -39 - -39.849. Let p = -0.349 + i. Put 4, t, p in ascending order.\nAnswer: t, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 734?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21 - ((11 - -38) + -22)) + 16.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 901446.41 rounded to the nearest 1000?\nAnswer: 901000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**4*z*z**(-2\/5))**40*((z*z**11)\/(((z*(z\/(z\/(z*z*z\/(z*z*z*z*z**9*z*z*z))*z))\/z)\/z)\/z))**(-32) assuming z is positive.\nAnswer: z**(-672)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 202548, 405093, 607638?\n\"Answer: 202545*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of 13*i**5\/10 + 7*i**4\/12 - 5*i**3\/3 + 9*i**2\/2 + 3*i. Let u be r(7). Round u to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -12*t**3 - 6*t**2 - 7*t + 7. Let z(n) = -8*n**3 - 4*n**2 - 5*n + 5. Give -5*q(o) + 7*z(o).\nAnswer: 4*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-11*23\/506))\/(4\/(-26))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -32 + 27a29?\nAnswer: 279b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 PM and 11:53 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 85223*v + 681788. Give s(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -16 - 16. Suppose 34 = -3*o + 5*b, -3*b = -0*b - 15. Let g be 3\/o*20\/(-4). Solve -g = -5*a + s, -n = -5*s + 17 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115306.\nAnswer: 2, 57653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 432\/(-576) + (1 - 26\/40)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -1 (b) -8 (c) -3 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.255 + 1.255. Let k = 359\/3 - 120. Let p = 104096\/73 - 1426. Put k, p, c in ascending order.\nAnswer: k, p, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44 times -4\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -94015, -768496, -2599225, -6164326, -12041923, -20810140, -33047101?\n\"Answer: -96354*p**3 - 3*p + 2342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -5 + 34*i - 99*i + 29*i + 29*i. Let b(o) = 6*o + 6. What is -5*b(p) - 6*f(p)?\nAnswer: 12*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1805505 divided by 3?\nAnswer: 601835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 186 - 189. Sort i, -13, 3, 4\/7 in ascending order.\nAnswer: -13, i, 4\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2326?\nAnswer: 2, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 2*l = -3*y - 64, 0 = -2*y - 5*l - 20. Let t = y - -26. What is the third derivative of 5*m**2 + 420 - t*m**3 - 420 wrt m?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(sqrt(90)\/sqrt(2)).\nAnswer: sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.127 - 0.627. Sort 0.3, w, 2.3 in ascending order.\nAnswer: 0.3, w, 2.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (2*(((sqrt(1872)*3 + -1 - sqrt(1872)) + sqrt(1872) - 6*(sqrt(1872) + sqrt(1872)*-2)) + 4))**2.\nAnswer: 2592*sqrt(13) + 606566","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 28, -69, -1 in descending order.\nAnswer: 28, -1, -9, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*z**2 - 518*z**3 - z**2 - 163*z**3 + 30*z**3 in the form a*z**3 + l + x*z + m*z**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 16 - (-5 - -10) - 0. Solve 2*c - q*c = -36 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-17)*v*v\/(v\/(v\/(v*v**(-1\/3))*v)) assuming v is positive.\nAnswer: v**(-44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*t - 4*t - 4*t)*(-3*t**2 + 2*t**2 + 2*t**2) + t**3 + t - t + (-3*t + 0*t + t)*(t**2 + 4*t**2 - 7*t**2) - 2*t**3 - t**3 + 0*t**3.\nAnswer: -17*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -795 (c) 1 (d) 7\/4 (e) 0.2 (f) 2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 6:32 PM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7690674, -7690676, -7690678, -7690680?\nAnswer: -7690682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, -8, -48, -3 in decreasing order.\nAnswer: -3, -4, -5, -8, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooooyoyyooo. Give prob of picking 1 y and 2 o.\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -13*g + 2052. Give q(197).\nAnswer: -509","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 8*k**2 - k + 9. What is the units digit of i(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/2 + (11\/(-22) - -2). Suppose -1323 = 4*s - 4*l - 5111, q*s = 4*l + 1902. List the prime factors of s.\nAnswer: 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 - 18. Suppose 2*f + q = 8. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 - a. Let z(c) = -5*c**2 + c - 2. Let y(h) = -4*f(h) + z(h). Give y(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v*v**(-36))\/v)*v*v**38\/v)\/((v\/(v**(-2\/5)*v))\/(v*v**9*v)) assuming v is positive.\nAnswer: v**(428\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.3 + 1.4. What is the third biggest value in -5, u, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a9e - -1?\nAnswer: a9f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3619547, 7239097, 10858647?\nAnswer: 14478197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -26*p + 9. Let k(c) = 14*c - 4. Let y(g) = 7*k(g) + 3*m(g). Suppose 0 = -2*v + 3*f + 10, 4*f + 6 = 4*v + 5*f. List the prime factors of y(v).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*o + o + 22*o**2 - 602279 + 602280 - 2*o**3 + 22*o**4 to n + q*o**3 + u*o**2 + m*o + r*o**4 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 3*u - 20*t + 15*t, -20 = 4*u + 5*t for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*c + 14*c = -56. Suppose 8 = -4*l - 2*s, -7 = c*s + 9. Suppose -2*z - 3*z = -y - 10, 5*y - 4*z = 55. Solve -3*x + l*x = y for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 - 5)*(-2 + a**2 + 2).\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 75 - 43b63b?\nAnswer: -43b586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 302846 to the power of 1\/2, to the nearest integer?\nAnswer: 550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (88\/(-130))\/22*10?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 95 = 3*f, -4*f + 2*f + 62 = -t. Let g(i) = -i**3 + 3*i**2 - 205*i + 838. Let s be g(4). Solve -3*q + l + s = 13, 2*l = -5*q - f for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66661 to the power of 1\/2, to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 14 = 5. Suppose -3*g - 3*h = -3 - 6, 0 = -4*g + 3*h - q. Suppose 2*j - 7*j + 2705 = g. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 390307061557 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-18)\/117 - (-2)\/13. Suppose n*k = 5*k - 4*o - 182, 40 = k + o. What are the prime factors of k?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.14? (a) -2.43 (b) -2\/7 (c) 2 (d) -4 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 6*o**2\/7 - 1647592*o\/7 - 549198\/7 = 0?\nAnswer: -1\/3, 274599","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*g**3 + 12*g + 6*g - 17*g - g**3 to the form u + j*g**2 + s*g + h*g**3 and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.3 + -2.6. Which is the closest to -0.1? (a) -0.4 (b) -2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -100 - 110 + d**3 - 112 + 27*d**2 + 327 + 26*d. Let l(a) = -2*a**2 + 4*a + 4. Let t be l(5). Let x be u(t). Solve 11 = x*c + 1 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**2 + 7*b - 7. List the prime factors of c(-7).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, 17\/75, -1 in descending order.\nAnswer: 17\/75, -1, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/1473050 and 131\/707064.\nAnswer: 17676600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 2*b - 4 = 0, -13 - 2 = 4*l - 3*b. Let m be (2\/4)\/(l\/(-30)). Suppose 2*a + 3*z - 146 = a, -4*z = m*a - 785. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, 3\/10, -1\/6 in ascending order.\nAnswer: -34, -1\/6, 3\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 344799 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 13*d + 40. Let r be m(12). Suppose -4*f + 4*t + r = -0*t, -5*t + 223 = 4*f. Is 4 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6*(-4)\/(-16))\/(4\/8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/2, 3\/8, 0.121, 78262?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -582*a**5*y - 137*a**4*y**3 - 24345*a**2*y**3 + 17*a**2 + y**3 wrt a.\nAnswer: -34920*a**2*y - 3288*a*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 4*j**2 - 2*j. Let u(w) = -49*w**2 + w - 9. Let r(k) = -137*k**2 + 4*k - 25. Let x(y) = 4*r(y) - 11*u(y). Let d = -5 - -3. Give d*x(f) - 5*s(f).\nAnswer: -2*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -18396*b**2 - 216. Let t(u) = -1415*u**2 - 16. What is 27*t(f) - 2*w(f)?\nAnswer: -1413*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 56, 50, 44, 38?\n\"Answer: -6*u + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - n = -4*b + 61, -3*b - 4*n = -190. What is the remainder when b is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 9*m - 9*m + m**2 + 2*m**2. Suppose 0*l = -2*l. Let z(s) = l*s - s + 0*s. Calculate z(v(k)).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(432) + 1 + -3).\nAnswer: -8 + 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(567)*-4*2 - ((2 + sqrt(567))*6 + sqrt(567))))**2*3.\nAnswer: 9720*sqrt(7) + 383157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - -6*3*sqrt(77))*2*2)\/(((sqrt(110) - (sqrt(110) - sqrt(110)*2))*4)\/(sqrt(160) - (sqrt(160)*1 - sqrt(160) - sqrt(160)))).\nAnswer: 76*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -8321599, -16643180, -24964739, -33286276?\n\"Answer: 11*p**2 - 8321614*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19.0026 - 0.0026. Let q = -407.7 - -408. Sort q, u, 1 in decreasing order.\nAnswer: u, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r**2 - 10*r - 8. Let a be b(6). Is 180*2*a\/20 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -53*y + 56*y - 6. What is the remainder when 102 is divided by (-3 + 1)\/(-4)*13*y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6\/25 of a milligram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -304668 times 0.07\nAnswer: -21326.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -7, 1276, -2\/9 in descending order.\nAnswer: 1276, -2\/9, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2335 divided by 467.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7367 is divided by 5993?\nAnswer: 1374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66 divided by 3.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 0*t + 2*t**2)*(33 - 12 + 11).\nAnswer: 64*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17 and 77146?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1535719500 to the nearest 1000000.\nAnswer: -1536000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1408.5253 rounded to the nearest 100?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9948 is divided by 35?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -14b2 - d9?\nAnswer: -15ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of 0*h**2 - 9\/40*h**5 + 9\/16*h**4 - 43 + h**3 + 0*h - 1\/16*h**6. Suppose f(l) = 0. What is l?\nAnswer: -4, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-7))**(1\/29)\/(c\/c**(1\/4))**(-7\/12) assuming c is positive.\nAnswer: c**(91\/464)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 78 and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*g + 321 = -147 for g.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 44087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + n + 178 = 0, -2*n + 1 = -3. What is the least common multiple of 30 and a?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*v - 240 = -2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 - 14*p**2 + 5. Give s(-14).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 1:32 AM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -39.6 and 0.2?\nAnswer: -7.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/3 + (-429)\/(-9). Let w(r) = r**2 - 2*r - 4. Let v be w(3). Let u be 9\/(2 + v) - 3. What is the highest common divisor of c and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 10 + 27 = 5*s, -3*q = -2*s + 11. Let r(l) be the first derivative of 3*l**2\/2 + 4*l + 2. Let x(z) = -4*z - 5. Determine s*r(v) + 6*x(v).\nAnswer: -3*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of r**4\/4 - 5*r**3\/3 + 7*r**2\/2 - 4*r - 6. What is w(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 189 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(144)\/sqrt(6)*3)\/(((sqrt(240) + (sqrt(240) - 2*sqrt(240)) + sqrt(240))\/sqrt(5))\/sqrt(6)).\nAnswer: -18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - 7*v**2 - 6*v + 8. Let q be z(8). Suppose -q = 3*w + w. Let p be 5 + w\/3 - 1. Which is bigger: p or 7\/3?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p*p*p**2))**(1\/26))**(-8))**(4\/11) assuming p is positive.\nAnswer: p**(48\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 = 4*i - 8*i. Solve 0 = 4*l + m - i, 2*m - 10 = -3*l + 11 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2891012517 rounded to 3 dps?\nAnswer: -0.289","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, o: 2, w: 8, z: 1, d: 1, f: 1}. Give prob of sequence zo.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*u**2 - u**2 + 5*u**2 + 24*u**2 to w*u + b + v*u**2 and give v.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 6, j: 4}. What is prob of sequence uuju?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 31697, -1, 4 in decreasing order.\nAnswer: 31697, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126 - 132 - 3*i + 258.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 63 - 33. Let d = s + -30.14. Let f = d - 1.86. Which is smaller: 3 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1969076.4 microseconds?\nAnswer: 0.03281794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of 35*d**3\/3 + 88. Let z(p) be the first derivative of -3*p**2\/2 + 54. Determine k(z(r)).\nAnswer: 315*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 3:01 AM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1683 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vqqpqqvvxxvqyvvv. Give prob of picking 1 p, 1 y, and 1 x.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -107279, -3, 3 in ascending order.\nAnswer: -107279, -4, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 47221247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 1454138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2911 + -2907. Which is the fourth biggest value? (a) 2 (b) -0.3 (c) -100.5 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k + 0*k + 142 - 142.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 405 - 379. Suppose z - 2*s = 188, 4*s - 5*s = -2*z + 361. Let f = 308 - z. What is the greatest common factor of f and t?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 1683 + 50 = 0. Does 6 divide q?\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 {a: 9, s: 3}.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 113302323 (base 4) to base 13\nAnswer: 35496","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -42*z - 1. Determine d(-1).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 h, 1 k, and 1 w when four letters picked without replacement from kllhowlol.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -g**5\/5 - 873*g**4 - 4778563*g**3\/5 - 33306027*g**2\/5 - 76020952*g\/5 - 56976492\/5 = 0.\nAnswer: -2179, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i**2 - 323*i**3 + 24*i**2 - 26*i**2.\nAnswer: -323*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - u**2 + u + 2. Let n be t(2). Let d = n + 11. Suppose -2*f - 7*y = -2*y + 8, -f + d*y = -7. Solve 3*h + f = -8 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.9 - 3. Let p(o) = o**3 - 4*o**2 - 6*o. Let v(y) = -y**2 - 9*y - 3. Let w be v(-8). Let d be p(w). Which is the biggest value? (a) d (b) t (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 341*q**2 - 8*q + 6. Let d(l) = -170*l**2 + 4*l - 3. Suppose -8*n + 2*n = 42. Let w(b) = n*d(b) - 3*s(b). List the prime factors of w(1).\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3894 - -3905. Solve 4*h - a = -3*j, -1 = 2*h - 5*j + 26 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of f**2 - 26. Let z(g) = 4*g**2. What is z(k(p))?\nAnswer: 16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29929, 114596, 255709, 453268?\nAnswer: 707273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + -5. Suppose -y*v = 5*l + 5, 3*l - 4*v = -0 + 4. Let d = -0.9 - 3.1. What is the second biggest value in l, d, -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -14*l - 8. Let b be 7\/(63\/33) - (-2)\/6. Suppose 0 = -h, 2*v - 4*h = -0*v - b. Calculate the remainder when 138 is divided by m(v).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1 (b) 7 (c) -4 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7457 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6 - 0)\/(6\/16*4). Differentiate 8*t**4 + 34 - 65*t**o + 2*t**4 wrt t.\nAnswer: -220*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1299*c = -8373 + 27858 for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of -5*r**3\/3 - 6*r**2 - 7*r. Let q be v(-4). Suppose -q - 32 = -4*h. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-690)\/(-552)*(-2904)\/55\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8724.373 meters to centimeters.\nAnswer: 872437.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*o**2 - o**4 + 32*o**2 + 1 - o + o**4 + 2*o**4 to w*o**3 + h*o + c*o**2 + v + y*o**4 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - 10*r - 582. Give v(-17).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 664911 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 3*w - 8 = 0, -8*c = -4*c - 4*w - 12. What is the closest to c in 5, -0.7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -10*w + 214*w**2 - 5*w**2 + 44 + 10*w. Let v(s) = -14*s**2 - 3. Determine -3*l(n) - 44*v(n).\nAnswer: -11*n**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.38 - -5.13. Let t = 0.55 + o. What is t rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -3*h**3 + 9*h**2 + 3*h + 4. Let o be p(4). Let g = 32 + o. Suppose k + 3*k - 256 = g. Is 16 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05448 times -3?\nAnswer: 0.16344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + 2)\/((-2)\/38). Let z = 23 + p. Suppose 5*y - 76 = c, -5*y + 92 = -c + z*c. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 3*o + 18 + 2*o - 4*o. Let t(p) = -p - 18. Let b(r) = -5*t(r) - 4*v(r). Is b(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 8:56 PM?\nAnswer: 12:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 7*m + 7. Let i(h) = -8*h - 8. Suppose -279 = 3*s + q, -2*s - 140 - 59 = 5*q. Let j = 306 - 208. Let w = j + s. What is w*g(f) + 5*i(f)?\nAnswer: 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 + 8*j - 5. Let w be n(5). Let c = w + -7. Solve x = 2*x + c*d - 8, -d = 2*x - 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 392 and 33516?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0)**(-4)\/(j*(j*j*j**(-1\/3))\/j)**26 assuming j is positive.\nAnswer: j**(-130\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/48116?\nAnswer: -1\/48116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**4 + 618*q**3 - 45000*q**2 + 172648*q - 170208 = 0. What is q?\nAnswer: 2, 108, 197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(-2*sqrt(24))*-5.\nAnswer: 5*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 322800.\nAnswer: 2, 3, 5, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40 + -38. Suppose -n*t - 9326 = -256. Let f = -2374 - t. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 85 * 0.4.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 108*x. Let a = 14 - 13. Let y be u(a). Suppose -h = 3*h - y. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.1874975 - 1.3275. Let b = 1210 - 1210.14. Let t = b - v. Round t to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222 is divided by 49.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -20\/4323 and -16\/7205?\nAnswer: 21615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -248*h + 687 = 53*h - 66*h + 15257 for h.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13.4746669 + 13.474. What is p rounded to four dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - 13 - (-4 + 3) - 5.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -6 + 2 + 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of -11*i**4 + 73\/2*i**3 + 0*i + 51 + 2*i**2. What is the derivative of v(m) wrt m?\nAnswer: -264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of q**3\/2 - 7*q**2\/2 + 3*q - 185. Let s(u) = 2*u. What is l(s(g))?\nAnswer: 6*g - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**3 - 60437531*b**2 - 11*b + 4*b**3 + 60437531*b**2 + 11*b.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 85329, 172649, 259969, 347289, 434609, 521929?\n\"Answer: 87320*u - 1991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/5 - 23199*h**2\/5 + 134559999*h\/5 - 134536801\/5.\nAnswer: (h - 11599)**2*(h - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*f - 19 + 47*f + 19*f + 72*f to q*f + t and give q.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -36*k**2. Let n(y) = 530431*y**2 - 2*y. Calculate n(r(w)).\nAnswer: 687438576*w**4 + 72*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 595?\nAnswer: 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of -203*a**6\/3 - 2*a**3\/3 + 4*a + 221. What is the third derivative of i(o) wrt o?\nAnswer: -24360*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2*k**3 + 5 - 9*k**3.\nAnswer: -7*k**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/3312 and -65\/48178376.\nAnswer: 867210768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 85*g*l**4 + 6207*g*l**3 - 2*g*l**2 - 3*g*l + 7*g - 3*l**4 + 2*l**3 - 12*l**2 - 599*l - 2 wrt l?\nAnswer: 2040*g*l + 37242*g - 72*l + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 18, 3.106, 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 550 (base 6) to base 7\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8 times 0.56\nAnswer: 4.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 3*v**3 + 2*v**2 - 3*v**2 - 34*v**4 - 20*v**4 + 55*v**4 - 2*v**3 as r*v + c*v**4 + p*v**3 + m + z*v**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -110 + 5*n - n - 3*n + 2*n - n as y + p*n and give y.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2884.65 and 38.73717.\nAnswer: -2845.91283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/(sqrt(16)\/sqrt(2)) + 0 + sqrt(847) + sqrt(7) + sqrt(49)\/(sqrt(7) + (sqrt(77)*-1)\/sqrt(11) - sqrt(7)))**2.\nAnswer: 1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -1082*w + 89819. What is f(83)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-2\/11)\/(v**(2\/5)\/v)*(v*v**4\/v)\/v**(-1\/4) assuming v is positive.\nAnswer: v**(1027\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 72\/463 + -110204\/6019. Which is greater: f or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 2*h = 0, -96*f - 5*h - 8 = -99*f. Which is the closest to -12? (a) f (b) 4 (c) 0.3 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = l + 6 - 0, -3*c - 27 = 2*l. Let j = l - -35. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 - 35 = -5*z + 5*b, -14 = -z + 5*b for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + -13011123?\nAnswer: -13011133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + 8*v - 1. Let s = -23 - -15. Let g be y(s). Which is smaller: g or 7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 PM and 11:53 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 - -7. Let u(i) be the first derivative of -9*i**4\/4 - 13*i**3\/3 - 11*i**2\/2 - 43. Let b(r) = 5*r**3 + 7*r**2 + 6*r. Calculate l*u(j) - 11*b(j).\nAnswer: -j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - -14. Calculate the remainder when o is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -701 - -704.01. Let n = -0.11 + b. Let o = n + -2.900022. What is o rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-1\/4))**(2\/71)\/((p\/p**(-1))\/(p*p**(-7)*p)))\/(((p\/(p\/(p*p**(2\/5)))*p)\/p**(1\/9))\/(p\/(p**(-1)\/p))**(-51\/5)) assuming p is positive.\nAnswer: p**(-50933\/1278)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/3)\/((-53724)\/(-395604)).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1702.13346s to days.\nAnswer: 0.01970061875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*p**2 - 108*p**2 + 870 + 658 + 154 + 103*p**2.\nAnswer: 2*p**2 + 1682","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 403323017.\nAnswer: 403323017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1062 and 144?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -79 + 81. Solve -f*z = -z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -158 - 309*s + 121*s + 137*s + 131*s. Is f(15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = -27*d + 130 + 47 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)*2)\/sqrt(12) - (sqrt(52)\/sqrt(36))**2.\nAnswer: -13\/9 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*14\/(-16)*-8.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of -a**3\/3 + 3*a**2\/2 + a + 2. Let l = 47 + -57. Let s be l\/(-30) - 8\/(-3). Give z(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005462949 to seven dps.\nAnswer: -0.0000546","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 7 + 192*u**2 + 14*u - 23*u - 191*u**2 - 20. Calculate m(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2681?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -0*s + s + 4, -4*z = -5*s - 16. Which is bigger: -5\/12 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 507928221 to the nearest integer?\nAnswer: 798","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.01 - -0.01. Let f = -1.31 - -1.61. Let u = 2 - 2. Which is the third smallest value? (a) -3 (b) r (c) u (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 75 = 17. Let c = h + 157. Let w(o) = -o**2 + 47*o - 197. Let g be w(42). Calculate the greatest common factor of c and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v - 11. Let f be q(-8). Suppose 0 = -w + f*w. Suppose 4*x = -w*x + 1948. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-47085)\/(-2150)*1\/(-3)*(-140)\/14?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or -3479?\nAnswer: -3479","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*w + 120, x - 3547506*w + 3547495*w = -3*x - 268 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.083 - 0.917. What is the second smallest value in 1, -4, 0.5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 4*b + 10 = 0, -100*b + 99*b + 5 = 5*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -109 and 1.6.\nAnswer: -107.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = n - 5*f - 2, 5*f = -5*n + 10. Let z(y) = -n*y - 3*y + 4*y. Let c(o) be the first derivative of o**2\/2 + 2. Give z(c(k)).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (2 - 0 - -4 - 4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 35833363 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 4*c = -15, -10 = h - 4*h - 5*c. Let s be (19 + -4)\/h - -1. Let z be 1*(-118 - 3)\/(s\/(-2)). What is z rounded to the nearest ten?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 718 (base 13) to base 12.\nAnswer: 844","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8760901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 11 = 3*k, -3*k + 8 = -4*p - 2. Let z(j) = 2*j + 1. What is z(p)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -4*r - 14, 3*u + r - 2*r = 8. What is the greatest common divisor of 8 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {k: 2, t: 3, l: 3}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 104815066 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37, 130, 379, 862, 1657, 2842, 4495, 6694?\nAnswer: 9517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26 - 36. Let y = 45 + a. Calculate the highest common factor of y and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24802093 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 131216 - -1?\nAnswer: 131220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.1, 0.2867, -18, 14?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-96)\/(-18))\/(-8) - (-2 + 2). Which is the nearest to 0.22? (a) 4 (b) o (c) 0.1 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (0 + 2 + sqrt(7))**2.\nAnswer: 4*sqrt(7) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is bd - -30da?\nAnswer: 31b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 91*f**2 - 34*f - 17. Let v(t) = 32*t**2 - 12*t - 6. Let z(y) = -6*j(y) + 17*v(y). Let s(q) = -788*q**2. Determine z(s(g)).\nAnswer: -1241888*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4 = -g, 5*g + 5*u = u + 56. Suppose 30 = -g*h + 2*h. Let p be (2 + 1)*h\/(-3). Solve 3*l = 4*j - l + 24, 0 = j - p*l + 14 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -811*x**2 + 7*x - 4 + 0*x - 73*x**2 - 27*x**2 + 3 in the form y*x + r + v*x**2 and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 15523, 15546, 15589, 15658, 15759, 15898, 16081, 16314?\n\"Answer: j**3 + 4*j**2 + 4*j + 15514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.7 - 23.7. Let a = -21 - z. Let f = 0.332 - 0.232. What is the closest to f in a, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (28 - 104\/4) + 5*2\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, w: 3, r: 7, m: 1, b: 2}. What is prob of picking 1 m, 2 b, and 1 w?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09 plus -3.2?\nAnswer: -3.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-71*i - 25705 + 25705)*(-i - 4*i + 2*i).\nAnswer: 213*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*r + r + r)*(-4 + 4 - 2*r**2) + 26 + 6*r**3 + 7 - 12 to u*r**2 + s + x*r + o*r**3 and give s.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 5526*s - 88448. What is h(16)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 w when two letters picked without replacement from {v: 2, w: 1, l: 2, a: 5, e: 4, i: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 10*g**3 - 629*g**2 - 66*g + 187. Give w(63).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (537*b - 158*b + 401*b + 126*b)*(-3 + 1 - 6)*(-2*b - 2 + 2 - 1) as p + j*b + q*b**2 and give j.\nAnswer: 7248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 988 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, p: 2, h: 5}. Give prob of picking 2 e and 2 p.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 318 - -44ba64?\nAnswer: 450180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -24, -52, -86, -126?\n\"Answer: -3*v**2 - 19*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 10 = 5*p, -21*p - 10 = 2*d - 18*p for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, y: 1, l: 2, i: 2, m: 3, w: 3}. What is prob of sequence wlb?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*m**3 - 127*m**3 + 75*m**3.\nAnswer: 12*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -9*r**3 + 438*r**2 - 4378*r + 50. Determine f(14).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**(-6)*t**(2\/11)*(t**0)**(-37)*((t**4*t)\/t)\/((t*t\/t**(-4))\/t*t)*((t\/(t*(t*t**(-3\/10))\/t))\/t)\/t**1 assuming t is positive.\nAnswer: t**(-937\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1243522 - -4?\nAnswer: 1243530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 428?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**5 + 5\/4*q**4 - 77\/2 - 377\/4*q + 869\/4*q**2 - 347\/4*q**3 = 0. Calculate q.\nAnswer: -11, -1\/4, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*(-9)\/15*(-11)\/((-363)\/(-550))\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = -5*d + 19, -8*d = 128*z - 132*z - 8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 152*r + 109. Is k(6) a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007074142 to 5 dps.\nAnswer: 0.00707","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 6\/25 of a millisecond?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a**2 - 22*a + 3. Let t be j(-10). Solve q - 5*k = -t, -3*q = -2*q - 3*k + 13 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7 - (799\/(-255) - (-7)\/((-525)\/(-10))). Calculate the greatest common divisor of 12590 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -7033, -2.\nAnswer: -7033, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2012120211 (base 3) to base 15.\nAnswer: cd0d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(363) + -1*sqrt(363) + sqrt(363) + 0 - (-2 + -1*sqrt(363) - sqrt(363))) + -2)*-1)**2.\nAnswer: 3267","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4188 and 0.\nAnswer: 4188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven quarters of a centimeter?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-63) - (-46)\/42. Let u be (-1)\/(-3)*(5 + 1). Solve -q + o = u for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18*j**2*m**4 - 2*j**2*m**3 + 3*j**2*m**2 + 8*j**2*m - 14*j*m**2 - 3*j*m + 237*m**4 wrt m?\nAnswer: -432*j**2*m - 12*j**2 + 5688*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 98 + -88. Suppose o - 3*k - 1 = 11, 2*o - 2*k - 12 = 0. Calculate the smallest common multiple of x and o.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 10, -64, -192, -374, -610?\n\"Answer: -27*x**2 + 7*x + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 68 - -2. Suppose 4*i - 2*w = k, 3*i = -3*w - 0*w + 30. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68395693 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*x**3 + 22*x**3 + 78*x**3 + 98*x**3 - 296*x**3.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16092 - -16331. Sort 1, b, 6 in decreasing order.\nAnswer: b, 6, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -455804 (base 9) in base 16?\nAnswer: -42b92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-24)*15 - 9\/(-6). Suppose -l + 4*r + 4 = 0, 88 = f*l + r + 4. What is the remainder when l is divided by 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 228 = 28*r + 48*r. Let p(u) be the first derivative of 0*u**r - 14 - 3\/4*u**4 + 3\/2*u**2 + 0*u. Solve p(x) = 0 for x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -13. Suppose -6 = -2*b, m = 5*l - 2*b - 5. Solve -20 = 8*s - l*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4134 (b) 1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/17 (b) 3 (c) -4 (d) 9\/5 (e) -5.14 (f) 12 (g) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1160542006 + -2?\nAnswer: -1160542011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7435412?\nAnswer: 2, 31, 61, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86334?\nAnswer: 2, 3, 14389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 + 31. Let b be (3\/5)\/(14\/u). Let k = 239 + -239.2. What is the second biggest value in k, b, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.04 - 4.04. Let k = 1 + -1.2. What is the biggest value in k, 2, o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1830 + -1197. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o - 5. Let k be s(-5). Suppose -2*f - 70 = -3*i - i, -k*f = 5*i - 125. Suppose 3*j + 3*m = 12 - 15, -5*m = 3*j + 5. Solve 2*y + 3*y + i = j for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (17 - 1392\/72)*(-1 - 5) is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 0 - (-1 + (-4 - -2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (211*m + 613*m + 313*m)*(5*m**2 - 5*m**2 - 5*m**2) - 2 - m**3 + 2 in the form z*m**3 + n*m + f + d*m**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i**2 - 4*i**2 + 43*i**2 to the form y + n*i + p*i**2 and give p.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(408)*-2)\/sqrt(12))\/(sqrt(18)\/(sqrt(9) + sqrt(36))).\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3.7, 5, 83.91, 1\/5, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 + 19*l - 100. Give k(12).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 43\/4 of a gram?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 + 9*a**2 + 5*a + 7. Let b be d(-7). Let j be 20\/b + 93\/(-7). Is 2\/j - 3811\/(-13) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 17*i - 91. Let h(d) be the first derivative of -10*d**2 + 91*d - 70. Let g(r) = -4*b(r) - 3*h(r). Find the first derivative of g(w) wrt w.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - (-5 - 17)) + -10 + (1 - 9).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17649?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 218252 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 6019650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i*i**(-2)*i))\/(i*i**(-1\/4)*i))\/(i**(-2)\/i*i**6))**23 assuming i is positive.\nAnswer: i**(-345\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/3117 and 67\/8312?\nAnswer: 24936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 13*g + 87. Let d(x) = 39*x + 263. Let v(z) = -4*d(z) + 11*w(z). Let b be v(0). Does 7 divide 112\/5*b\/(-38)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -213 = 26*s - 31 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-90)\/8 + (-16)\/256*12*(-3)\/9.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, n: 2, e: 1}. What is prob of sequence nn?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.44 - -0.04. Let d = 392.4 - 392. Which is the second smallest value? (a) v (b) d (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -29, 18, 65, 112?\n\"Answer: 47*h - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -46754 divided by -461\nAnswer: 46754\/461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -5*l**2 - 2*l**2 + 1 - 8*l + l**3 - 2 + 4. Let f be v(8). Let m = 8 - f. What is the least common multiple of m and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -52 (base 6) to base 9.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 + 18. Suppose 4*s - n*c + c = 12, -2*c = -s + 6. Suppose -5*f + 33 = u, -s*u + f = -35 - 9. Is u a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6*(-2)\/4*1. Let x = 15 + d. What is the least common multiple of x and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 + 18874\nAnswer: 18873.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, -96, 3, 2 in increasing order.\nAnswer: -96, -3, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33\/(-121))\/((-70)\/77).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -190171, -380406, -570641, -760876, -951111?\nAnswer: -1141346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.0512893348 + -46\nAnswer: -46.0512893348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121 = -33*r - 44 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 1. Let m be -1 + (-6 - -1)\/(-4 + (-105)\/(-45)). Solve 2 = -s, -n = -s + m - b for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -40331 - -152829. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -210 + 236 = -26*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 714537 and 1413.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mhxha. Give prob of sequence mh.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, f: 5, i: 3}. What is prob of sequence ifrr?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(91) + -6*-2*sqrt(91))*-4*-6)\/(-3*-1*sqrt(847) - sqrt(847)*-2*5))**2.\nAnswer: 7488\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -611.6 and -3042.\nAnswer: 1860487.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -170*-2*2\/10. Let l be p\/18 - (-10)\/45. Factor -l*s**4 - 3*s**4 + 8*s**3 - 6*s**3.\nAnswer: -s**3*(7*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -8.03 and -113.2637?\nAnswer: 105.2337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 3. Suppose c*p + 65 = 3*s, 5*p + 15 = s + 6*p. Let d be 77 + -2 + (0 - -1). What is the greatest common factor of s and d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -346 (base 16) to base 14.\nAnswer: -43c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8.01 + 0.01. Let h = -6 - k. Let g = 164 + -164.2. Which is the third biggest value? (a) 13 (b) g (c) h (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-44)\/(-28) - 616\/(-49)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*c + 0*c - 6*c - 4*c + 4*c + 2*c + (-c - 3*c + 2*c)*(-3 + 3 + 2) + 1 - 2 - c + 0.\nAnswer: -22*c - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5864 divided by -5864.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8066206403 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 + 7 - 3*a - 4*a + a**3 - 4*a**2. Let r be s(6). Solve -2 = 2*c, -2*v - c - r = -0*c for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25446 = -201*g + 7847 - 4712 for g.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 - 89*l - 983. Determine i(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - -2) + 182 + -211?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -73 in 4, 3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 277 and 8864?\nAnswer: 8864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -8 - 4 - 14 + 3*g. What is the units digit of s(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/2*(-2 + 4). Let s be (-2 + 2)*(-1)\/3. Suppose f*l + 23 - 149 = s. Calculate the highest common factor of l and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -1, 743, -7.6, 3\/2, -0.3 in increasing order.\nAnswer: -7.6, -1, -0.3, 3\/2, 8, 743","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of b**5\/70 - 5*b**4\/42 + b**3\/7 + 9*b**2\/7 - 188*b. Suppose a(k) = 0. Calculate k.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11155 + -2242?\nAnswer: 4513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -13329 (base 10) to base 8\nAnswer: -32021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 14) in base 9?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 251369853.\nAnswer: 3, 7, 1709999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168 = -f - x + 309, 2*f - 960 = x. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t\/t**7*t))\/t**(-3\/10) assuming t is positive.\nAnswer: t**(53\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -143628158 or -143628157?\nAnswer: -143628158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -41563 (base 7) to base 8\nAnswer: -23775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.355 - -203.645. Let z = -203 + t. What is the smallest value in z, -3, 0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 78*b - 1. Let z be (-4)\/(-28) - 12\/(-14). Is u(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 43995?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -403948\nAnswer: 1615792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 40*i**2 + 5190*i - 207610. What is l(40)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 - 10*o + 9. Let b be c(9). Suppose 4*s + 3*n - 830 = 0, 3*s + b*n - 3*n - 633 = 0. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -175 + 181. Suppose 10*l**2 + c*l**2 - 84*l - 588 - 19*l**2 = 0. What is l?\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21141, -42283, -63425?\nAnswer: -84567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 95 + -42. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 634842160?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*0.02.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 8 + 7*g + 3)*(-g + 3*g - g) to s*g**2 + x + q*g and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 14 - -21?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 23 + 155352?\nAnswer: 155415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 280 a factor of 368311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12658315339 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -7.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 44\/35 - 6\/7. What is the closest to 0 in -1\/7, b, 4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -616.993 to the nearest 10.\nAnswer: -620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 949157 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5031? (a) -123 (b) -0.4 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 + 4*z**2 - 11*z + 7. Let v(o) be the second derivative of -o**5\/20 - o**4\/6 + 5*o**3\/6 - 3*o**2\/2 + 27*o. Determine -3*c(u) - 7*v(u).\nAnswer: 4*u**3 + 2*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -3*m + 2*m + 5, -5*g - 2*m = -12. Suppose g*u = 6*u - 20. Solve -5*b + u*r - 5 + 25 = 0, 4*b + r - 16 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29642806?\nAnswer: 2, 47, 315349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -24, -46, -68, -90, -112, -134?\n\"Answer: -22*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 269264 divided by 114?\nAnswer: 134632\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.16903 - 0.16860744. What is n rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 + 93*v - 463. Give h(5).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.12 (b) 3 (c) -1\/4 (d) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 2*s + 20. Suppose 4*b - 4 = 24. Suppose 4*q - 51 + b = 0. What is the remainder when q is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4663481 to the nearest 10000.\nAnswer: -4660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z**2 - 5*z - 2. Suppose 5*m = 95 - 75. Let y(p) = 2*p**2 + 6*p + 3. Give m*y(g) + 5*x(g).\nAnswer: -2*g**2 - g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 4.5. Let c(k) = 6*k + 21. Let q be c(-7). Let y be q\/(-84) - (-7)\/(-12). Sort 3\/4, a, y in descending order.\nAnswer: 3\/4, a, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4014214?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 9 + 6 + 37 + -57\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -75, -829, -2879, -6873, -13459, -23285, -36999?\n\"Answer: -108*p**3 + 2*p + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 - 7. Suppose 11*y = -a*y + 80. Solve 5*o + 5 + 10 = y*l, 3*l + 9 = -3*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1378*f**3 - 7160*f + 7160*f.\nAnswer: -1378*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-69)\/21 - (-4)\/14. Let j be ((-16)\/6)\/4*a. What is the third derivative of 2*s**6 - s**2 - 3*s**j + 3*s**2 wrt s?\nAnswer: 240*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w*w**(-27)\/w*(w*w\/(((w\/(w*w*w**(-5\/9)*w*w*w*w*w))\/w*w)\/w*w)*w)\/w*(w**(1\/14))**(-40) assuming w is positive.\nAnswer: w**(-1349\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3734451 and 189?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 53 + 6 + 0\/(-6). Let u be (16 + 0)\/((-2)\/(-3)). Let g = d - u. Is g a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 248 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/6*60\/(-9). Calculate the remainder when -4*(81\/(-2))\/3 is divided by 3*(-1140)\/36*(-2)\/g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - 0.2446.\nAnswer: 0.0554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of -t**4\/12 + 53*t**3\/3 - 2133*t**2\/2 + 6241*t\/3 + 45. Find v such that u(v) = 0.\nAnswer: 1, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 11\/3, -3\/2, 0.21, -95?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of -19*d**4\/2 - 2*d**3\/3 + 27*d**2\/2 - 2*d - 75. Find the second derivative of j(t) wrt t.\nAnswer: -228*t - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of -1\/12*z**4 + 0 - 27*z - 1\/2*z**2 - 1\/3*z**3. Suppose 20 = -0*r - 4*r. Give i(r).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**5\/m)**(-6\/35)\/(m\/(m\/((m\/(m*m**(27\/2)))\/m*m))*m**25*m) assuming m is positive.\nAnswer: m**(-923\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*k - 184 + 169 = 0. Do k and 941 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 281, 2281, 7711, 18287, 35725?\nAnswer: 61741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of w**8\/10080 + w**6\/720 + w**5\/12 + 4*w**2. Let f(l) be the third derivative of b(l). Find the first derivative of f(j) wrt j.\nAnswer: 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.88 + -2.8. Let n = 85.92 + m. Let w = n - 87.5. What is w rounded to 0 dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1311301302 - 10?\nAnswer: 1311301232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - 52 - (24 + (20 - 49))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o - 23509 - 4809 = -2*h, -4*o - 42437 = -3*h. 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 m in -m**3 + 1076*m**2 - 288365*m - 581042 = 0?\nAnswer: -2, 539","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*2\/6 + 65\/195?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**2 - 2 + 2)*(10 - 2 + 11) + 0*t**2 - t**2 + 0*t**2.\nAnswer: -58*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -655.994 - -657. What is y rounded to one decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -72 + 72.009. Put 6\/7, -3\/4, r in decreasing order.\nAnswer: 6\/7, r, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-7)*(350\/(-75) - (19 + -19)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((180\/(-27))\/20)\/(2\/30)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**5 - 35*h**4\/3 + 22*h**3 - 12*h**2 - 8*h\/3 = 0. What is h?\nAnswer: -1\/6, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/11 + 3155464*b\/11 + 18932712\/11.\nAnswer: 2*(b + 6)*(b + 1577726)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/5 (b) 5 (c) -5 (d) 20056 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-6\/13)\/(v**(5\/3)*v*v*v)*v**(-10)\/(v\/(v*v*(v**(-3)\/v)\/v*v)))**(-36\/11) assuming v is positive.\nAnswer: v**(8484\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h\/(h\/((h\/(h*h*h\/h**(-24)*h*h))\/h)*h)*h)*h*h**(1\/6)*h*h**(-29)*h*h**(-26) assuming h is positive.\nAnswer: h**(-131\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-9 + -17)\/((-4)\/2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 845 = 3*b - 0*c, 18*b - 4946 = c. Calculate the highest common divisor of 175 and b.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35185 is divided by 380.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2322690, -4645381, -6968072, -9290763?\n\"Answer: -2322691*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3652*d - 1567. What is the tens digit of s(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2*y + 21 = 5, 5*y - 61 = -4*j. Let i be 52\/j - (-2)\/7. Let z(v) = -5*v + i*v + 2 + 4*v**2 - v - v**3. What is z(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23 - 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 8*m - 118 = 302, 3*u - 7*u - 208 = -5*u - 4*m for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (10 - 0) + 42\/(-14). Suppose -6*t = -c - 23. Solve -10 = t*h - 3*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1030945 and 141.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39 + -37. Let u(i) = -26 - 3 - d*i + 0 - 3. Let n be u(-14). Which is the second smallest value? (a) -2 (b) 2\/9 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-9\/7)\/l*l)\/(l\/(l\/l**26))*l**(-28)\/l*l**(-11) assuming l is positive.\nAnswer: l**(-471\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-five quarters of a litre?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 638696029 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 526511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 6*c**2 + c**2 - 8*c**2 - 3. Let n(w) = -w**2 - w - 2. Let d(o) = 2*m(o) - 3*n(o). Does 10 divide d(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -2797?\nAnswer: -4\/2797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 41175, 41172, 41167, 41160, 41151?\n\"Answer: -p**2 + 41176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-10))\/z)\/z**42 assuming z is positive.\nAnswer: z**(-52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1227*c**2 + 13*c**2 + 5*c - 5*c.\nAnswer: -1214*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + 15*l**2 + 19*l + 70. Let j be x(-14). Suppose 4*y - 2*c - 4 = 70, -2*y = c - 39. Solve -o = -3*b - y, -3*o = -b - j*b - 17 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50818 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4410757 + 5?\nAnswer: 4410764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 a when two letters picked without replacement from {u: 1, z: 1, c: 2, a: 4, b: 1}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of d**4\/2 + d**3\/3 - d**2 + 4*d + 4. Let y(i) = -i + 1. Give -p(c) + 4*y(c).\nAnswer: -2*c**3 - c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fuubfuqeulquebubbfuu. What is prob of sequence fl?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1328331\/8, 3, -3\/4, -0.4 in decreasing order.\nAnswer: 3, -0.4, -3\/4, -1328331\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 11 = -n, -2*h - 10 = 4*n - 0*h. Let i = n - -6. Find the common denominator of -65\/18 and i\/(-3)*(-225)\/32.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2869027 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*i + 9114 = -5010. Solve 22*d**5 + 112*d**3 + 193 - 116*d**2 - i + 136*d**4 - 134*d + 215 = 0.\nAnswer: -5, -1, -2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 + 2*n + 3. Let v = 20 - 15. Suppose j - v*j = 8. What is l(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 689694089.\nAnswer: 7, 98527727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) + -1)*1 + sqrt(304) + sqrt(304) + 1)**2.\nAnswer: 1539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 15 = -3*v, 3*d + 6 = v + 1. Suppose d = 4*z - z. Suppose z = -5*g + 3*y + 21 - 5, 0 = 2*g - y - 7. Solve 10 + 7 = -5*s - i, -g*s - 9 = -3*i for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 + 30. Let n(y) be the first derivative of y**3\/3 - 5*y**2\/2 + 8*y - 1. Let a be n(b). Solve 4 = 4*r - a for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18\/(-45) + (-135906)\/(-15)?\nAnswer: 2, 3, 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6323373311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - l)*(-3 + 2*l**2 + 3)*(l + 3*l - 2*l).\nAnswer: -4*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47 + 48 + 25 - 12*n + 49 - 169.\nAnswer: -12*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -181, -178, -177, -178, -181, -186, -193?\n\"Answer: -w**2 + 6*w - 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -6 + -1 + -4 + (1 - -4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 362221794.24896551 - 362221792. Let l = 2.249 - u. Round l to 6 dps.\nAnswer: 0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/21)\/(16\/(-12) - -1)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421109 to the power of 1\/2, to the nearest integer?\nAnswer: 649","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 339\/2)\/6 + 188575\/(-150860)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1387 + 11.5587. Let o = 1.18 + q. Let u = -3.1 + o. What is u rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 586*l - 1755. Let q be i(3). Which is the closest to 102? (a) q (b) 1\/9 (c) -0.02 (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84880 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = 35*d + 9 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3 - 3 = -m, 4 = 4*g. Solve -5*d = z + 24, -m*z + 10 = -2*d + d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0007620726 to 7 dps.\nAnswer: -0.0007621","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n**3 + 11*n**2 + n - 7. What is q(5)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/116 and -109\/12446.\nAnswer: 721868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 45679255 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jime when four letters picked without replacement from jeiiejjeemeiimj.\nAnswer: 4\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6669866.\nAnswer: 2, 7, 476419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/205 and 83\/100.\nAnswer: 4100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/6)\/(-8*6\/(-216)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 7*s + 9. Calculate h(-7).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 - 5*v - 1. Let o(t) = -t**2 + 4*t - 3. Let z(h) = 3*b(h) + 4*o(h). Calculate z(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of -k**4\/24 + 5*k**3\/3 + 7*k**2. What are the prime factors of n(0)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 + 0.0305601\nAnswer: -0.1694399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 111298 and 130108.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9696, -9684, -9690, -9726, -9804, -9936, -10134?\nAnswer: -10410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 281*y + 138. What is the smallest common multiple of u(2) and 400?\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2 + 0.3. Let p = -1187 + 1189. Which is the nearest to 0.4? (a) -4 (b) p (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**3 + 36*u**2 - 78*u + 40 = 0 for u.\nAnswer: -20, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in 1\/3, -0.5, -0.054, -2\/9, -0.03?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 594 and ((-1944)\/(-240))\/(6\/5)*(-88)\/(-6).\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 1 = -9, -3*x - 78*k + 3 - 34 = -82*k for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + g - 10. Let z be (1 + 2 + -2)*0. Give c(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-4)\/8*6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1831871313 to the power of 1\/2, to the nearest integer?\nAnswer: 42800","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 273 - 287. Let a = q - -14.033. Round a to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -114204203 - -1004?\nAnswer: -114203144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 - 6 - d - 41*d**2 - 4*d**4 + 27*d**2 - 5 - 6 to z*d + a*d**2 + n*d**3 + u + w*d**4 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*q + 18*q - 468. Let g = q - 4. Is 19 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 equal to 1493\/30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4840349.\nAnswer: 4840349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 184*j**2. Let b(l) = -13*l**2. Calculate u(b(a)).\nAnswer: 31096*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 251*b**3*q**3 - 128*b**3*q**2 - 198*b**2*q**3*w - b*q*w + 200*q**2*w wrt q?\nAnswer: 1506*b**3 - 1188*b**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 0)*(-d - 2*d + d + (-3*d - 5*d - 2*d)*(8 + 6 - 4) + d + d + d).\nAnswer: 198*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 62 divided by 1\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10001001001 (base 2) to base 13.\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.74*-25.\nAnswer: -18.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 5 + 2)*(546 - 12*v - 544 - 19*v).\nAnswer: -496*v + 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11622)\/(-1032) - (-17 - -30)) + (-364)\/(-208).\nAnswer: 1\/86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6cac + -4?\nAnswer: 6ca8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 307 a factor of 10327636?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 = -3*h + 3*i - 7*i, -3 = -3*i. Let c be 61\/(130\/h + -5). Suppose -y + 4*y - 307 = 5*b, -3*y + 4*b + c = 0. What are the prime factors of y?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19594 - 2334. What is the thousands digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/771282 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.17 times 121591\nAnswer: -20670.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 549 - 549 - 3*v.\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 140\/21 + -4 + 2*-1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-3 - (-178)\/58). Let a = u + -25. Solve -3*x - 15 = -a*t, -7*t + 2*t = -3*x - 18 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9467802652 to the power of 1\/2, to the nearest integer?\nAnswer: 97303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-3*sqrt(5760)*1 - sqrt(5760))\/((sqrt(216) + sqrt(216) + (sqrt(216) - sqrt(216)*-3) + sqrt(216))\/sqrt(3)).\nAnswer: -16*sqrt(5)\/7 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-12)\/(-10))\/((-30)\/(-75)). Suppose -j + 4*j = 3*c - 33, -2*j = 2*c - 2. What is the derivative of -3*s**3 - 5 - 11 + 4 + c*s**h wrt s?\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1088 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1048122 is divided by 671.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 387168 and 5216.\nAnswer: 63108384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -60 - -184\/3. Let v = 21.161 - 20.161. What is the closest to -10 in 0, v, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35679613.6 rounded to the nearest one thousand?\nAnswer: 35680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = 6*u - u. Calculate the remainder when 45 is divided by u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 4*r = 120. Suppose -2*z + 24 = 2*z. Let a be 1\/3 - (-94)\/z. What is the greatest common divisor of r and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 2 = -n - 11, 4*h + 20 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9600.1 + -9599.6. Let f(g) = -g - 4. Let v be f(-3). Let u = -2 - -2. What is the nearest to u in m, -0.4, v?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9040 divided by -1808?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((3 + -11)\/4)\/(-2). Let o be x - -3 - 0\/(-5). Suppose o*w = 2*w + 8. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + 3*u**2 + 2*u. Let l be d(-2). Suppose l = -t - 4*t + 5. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 1 - 2*i + 1 + 4*i + 0*i - 5*i - i + 2*i + 0*i + 3 - 3 + 2*i - i - 1 + 1 + (3*i - 3*i - i)*(2 - 7 + 3) + 4*i + 2*i - 4*i.\nAnswer: 3*i - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76672, 76673, 76674, 76675?\nAnswer: 76676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -102 and 3072.\nAnswer: -313344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 21\/(-56) - -3?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 22 + -20 + (-5 - 1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 3*n - 20. Suppose -15 = -n*x - x. Suppose -2*t - 51004 = -0*w + x*w, 0 = 5*t + 10. What is w rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 3029054\nAnswer: 3029054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -164 + 176. Let d = 353 - 291. Calculate the remainder when d is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 2*p - 175 + 44, -2*p = -4*n + 544. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c + 17011 - 17009 + 44*c.\nAnswer: 48*c + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3a40 (base 12) to base 5\nAnswer: -203142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of -4*j**3\/9 - 524*j**2 - 205932*j + 5618. Find x, given that u(x) = 0.\nAnswer: -393","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18558 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: What is the tens digit of 13263015?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157 - 17 = 2*x. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 - (6 - 0 - 4). Suppose 20 = -5*n, -n - 2146 = -5*b - x*n. Is b a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -20359*i + 9 - 3 + 4333*i - 6 as m*i + u and give m.\nAnswer: -16026","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 31*8\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -393*c**3 + 3 - c - 8 + 0 - c + 6 to h*c**2 + g*c + r*c**3 + v and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -387468*a - 7*a**2 + 387468*a. Let r(c) be the second derivative of c**3\/6 + 2*c. What is r(t(m))?\nAnswer: -7*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3586*a**3*p**3 - 10*a**3 + 84*a*p**3 - a*p**2 + p**3 - 37132*p wrt p?\nAnswer: 21516*a**3 + 504*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 512 is divided by 86?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18396, -18398, -18400?\nAnswer: -18402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - 6*a**2 - 8*a + 7. Let g be v(7). Solve g = -2*u + 6*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-42)\/(-4)*(-8)\/(-12). Which is the second smallest value? (a) -2 (b) t (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.9 + -1.6. Let u = q - 13.3. Let a = 12 + u. What is the second biggest value in -0.5, -0.2, a?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 19870, 21214, 22558, 23902?\n\"Answer: 1344*w + 18526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 791876?\nAnswer: 2, 197969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-22)*k)\/k**19)**(-49))**18 assuming k is positive.\nAnswer: k**35280","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -183 (b) -14 (c) -407 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 725570263 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/(-30))\/((-2)\/15). What is the third smallest value in y, -3\/4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 91, 224, 359, 496, 635?\nAnswer: 776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45769, -91528, -137287?\nAnswer: -183046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6013423.29 - -0.1401.\nAnswer: -6013423.1499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 268 + 3293 = -3*c, 5*z = 0. Let n = c - -3629\/3. What is the common denominator of 74\/21 and n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0)*(-85*l**2 + 10*l**2 - 12*l**2).\nAnswer: -174*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*o + 20*o**3 - 65*o.\nAnswer: 20*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**3 - 6*i**3 + i**3 + (-4 + 1 + 4)*(3*i - 3*i + 4*i)*(-i**2 + 0*i**2 + 0*i**2) as g*i**3 + s*i**2 + h + y*i and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3992 divided by 1.\nAnswer: 3992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = -4*z - 48, -680*z + 679*z - 3*m = 26 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2 - 9443404*g + 18886792.\nAnswer: 4*(g - 2360849)*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1700) + 0 + 1 - (-3 + sqrt(68) - (-1 + sqrt(17) + 5))**2 - 3*1*(sqrt(272)*2 + 1).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3857234178?\nAnswer: 2, 3, 7, 137, 449, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22651 divided by 143.\nAnswer: -22651\/143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 58 = 3*j, -3*j = 2*j - 4*b - 150. Suppose 27*c - j*c = 0. Let g = -4 + -1. Sort 6, g, -3, c in ascending order.\nAnswer: g, -3, c, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3104 and 3107 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 * -109\nAnswer: 76.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -154 + 106 - (-63 - 9)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 5*j + 115. Calculate x(-26).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 23 (b) -5 (c) 0.14 (d) -1 (e) 4 (f) -1206\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43 - 11. Suppose 5*v = -0*v + 120. Calculate the highest common factor of u and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*k**2 + 13*k**2 - 2*k**2 + 8*k**2.\nAnswer: 25*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kwwiawk. What is prob of picking 1 i and 3 w?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 8*a**2 + 95*a + 291. Determine l(-4).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m + 99. Let a be o(0). Let p be 27\/(-12)*(-7 - -2 - -1). Calculate the greatest common factor of p and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -59631.31 + 59287. Round a to the nearest ten.\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14) - (sqrt(84)*2)\/sqrt(6))\/((sqrt(2) - -3*sqrt(2))*-2) + -2*(-3 + ((2*sqrt(7) - sqrt(7))*5 - ((0 + sqrt(7) - sqrt(7)) + 2))).\nAnswer: -79*sqrt(7)\/8 + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 512959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 15809.622492 rounded to one dp?\nAnswer: 15809.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6382 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 878, -2339, -13548, -36745, -75926, -135087, -218224?\n\"Answer: -666*j**3 + 1445*j + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 772281771 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -15*d**2. Let b(h) = -2100272*h. Give v(b(z)).\nAnswer: -66167137109760*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 10:15 AM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - 7*r**2 + 337*r + 2993. Calculate q(-10).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 10 = 17. Solve -2*y = -5*y, 3*l + y = -q for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -453399*u - 157*u**3 + 151*u**3 + 453399*u.\nAnswer: -6*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 - -24066165?\nAnswer: 24066156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25130 + 51910 = 1284*i for i.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1)*(t\/(t*t**(3\/7)*t))\/t)**(-1\/19)\/((((t*t**0*t)\/t)\/t*t)\/t*t**0*((t*t**(-6)*t)\/t)\/(t**(-2\/3)\/t)) assuming t is positive.\nAnswer: t**(1402\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 64953 + -1261. What is the hundreds digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -56.813149 to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -22 + 7 + 261*(-14)\/(-63)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -145*l**3 - 2*l**2 + 10*l wrt l?\nAnswer: -870*l - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35425, -35424, -35423, -35422, -35421, -35420?\nAnswer: -35419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 3 + 9 = 0. Suppose -4754*s + 670 = -4888*s. What is the closest to s in 4, 0.1, -3, k?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2800, 5843, 8886, 11929, 14972, 18015?\nAnswer: 21058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.2873274713 plus -4?\nAnswer: 25.2873274713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21160 + -21155. Let s be (-1 - -1*1)\/1. Which is the closest to s? (a) 3 (b) x (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 794 + 2716. Is o a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -b + b - 2*b**3 - b**3 + 5*b**3 + 2*b**3 + (b + 0*b + b)*(2*b**2 - 2 + 2) + 0*b**3 + 11*b**3 - 9*b**3 as q*b**3 + o + y*b + m*b**2 and give q.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 9*h**2 + 118*h - 707. Give x(-17).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 10*m + 10. Let j be s(-10). Let f be (-4)\/30 - 192\/j. Solve 3*z + 2 + 2 = f*u, 2*z - 2*u = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5899 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m + 2. Let i(w) = w + 1. Suppose 2*n - 4*n = 10. Let y(o) = n*i(o) - r(o). Find the first derivative of y(d) wrt d.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3965\/33 - -1329\/11. Factor -8\/3*n**2 + 0*n - j*n**4 - 8\/3*n**3 + 0.\nAnswer: -2*n**2*(n + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n + 24 - 5 - 52 - 4*n - 11 + 6.\nAnswer: -3*n - 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 14) to base 3.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -1455?\nAnswer: -2910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1162a5a (base 11) in base 4?\nAnswer: -13232033023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 4*c - 3*c + 4*g, 3*c + 5*g = -29. Is (c + 1)*3*(-4491)\/27 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -141 + 56?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 + -18. Suppose x = -p - 2*p, 3*y = -p - 1. Solve y = 2*a + 3*o + 33 - 12, -4*a = -4*o - 8 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2760.\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 1528?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -5*q**3 - 10*q**2 + 5*q + 5. Let p(m) = m**4 + m**2 - 1. Let u(o) = d(o) + 5*p(o). Factor u(j).\nAnswer: 5*j*(j - 1)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000267 rounded to five decimal places?\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of -k**6\/120 - k**5\/12 + 3*k**4\/8 + 10*k**3\/3 + 16*k**2. Let d be y(-6). Calculate the highest common divisor of d and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1132709360?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1869944?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16725725 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -222355 - 63?\nAnswer: -222451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - -11) + (-11)\/((-33)\/(-6)). Suppose 0 = f*h - 6*h - 48. Calculate the smallest common multiple of 16 and h.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*i + 6*i = 3200. What is the greatest common factor of i and 350?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*l**2 - l*x**3 + 78*l*x**2 - 2705*x**3 with respect to l.\nAnswer: -14*l - x**3 + 78*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5560617?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 5 + ((sqrt(1216) + (sqrt(1216) + 0 + sqrt(1216) - sqrt(1216)) + -4 + -1 + (1 + sqrt(1216))*-4 + -1 + sqrt(1216)*-2)*2)**2.\nAnswer: 2560*sqrt(19) + 78224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -431147 (base 8) to base 12.\nAnswer: -6b39b","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, 0.03, 0.08, -333\/2, 0.4, -0.02?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 586 and 20228720?\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -27 in decreasing order.\nAnswer: 3, -5, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 242091746?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(3)*-1)**2 + sqrt(3))*-4.\nAnswer: -36 - 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c - 1. Let b(j) = 18*j + 4. Let t(w) = b(w) + 4*d(w). Let a(q) = 3*q**2. Calculate t(a(g)).\nAnswer: 30*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 2 = -2*a + 7*a, -2*x = -a - 2. Let z = x - 0. Suppose z = 3*p - 13. Solve p - 2 = f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7052 and 26144.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-28))\/(9\/147).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 299 is divided by 142?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 21 = -30. Let i be 46\/(-161) + (74\/14 - 0). Solve i*v = -1 - z for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 529\/308 - -5\/154. Let p(s) be the first derivative of -5*s**2 - 3 - z*s**4 + 0*s**3 + 0*s. Find the second derivative of p(w) wrt w.\nAnswer: -42*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*z - 32*z = 14. Let u be (-21)\/z*(4\/(-3) - 0). Let g be u\/10 - ((-24)\/10)\/(-3). Is -5\/6 greater than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/3317, 0.3, -67, -38?\nAnswer: -67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (11 - (5 - 1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/2 - 6537*n\/2 + 725305.\nAnswer: (n - 6307)*(n - 230)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29 - 29. Let w = 0.4 + -0.2. What is the nearest to 0.2 in o, w, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -95*l**2*v**3 - 2*l**2 + 4*l*v**3 + 2*v**3 + 6*v - 36 wrt l.\nAnswer: -190*l*v**3 - 4*l + 4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + n - 855 = -m, 3*m - 2572 = 2*n. What is the hundreds digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1382, 2763, 4144, 5525, 6906, 8287?\n\"Answer: 1381*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-42))\/((1\/9)\/((-15)\/75)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100377871?\nAnswer: 11, 9125261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 12, 3, -4, -5?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11924 = 85*a - 9697 - 7072 for a.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34.974 - 35. Let d = n + 0.126. Let y = 2.6 - 11.6. Put 0, d, y in increasing order.\nAnswer: y, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29884680 divided by 2520.\nAnswer: -11859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**(7\/3)\/o*o)*o)**(-19)*o**(-11)\/(o\/o**6))**(1\/55) assuming o is positive.\nAnswer: o**(1\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 + -24. Let h = 4 - s. Suppose -2*z = -2*d - d - 5, -5*d = z + h. Solve j + 1 = -z for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/8 (b) 0.2 (c) 1\/6 (d) -0.54534\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17791?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 28533.46 rounded to the nearest 1000?\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1089237*v**5 - 35*v**4 + 40*v**2 - 15*v + 6382 wrt v?\nAnswer: 65354220*v**2 - 840*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4904167, 9808261, 14712355, 19616449, 24520543, 29424637?\nAnswer: 34328731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - -9. Let v = a - 10.9. Which is smaller: -5\/6 or v?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = -2*r, 0 = 68*o - 57*o - 6*o - 5*r + 40 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 s when three letters picked without replacement from {d: 1, o: 1, q: 2, s: 2, k: 1, r: 7}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 246772354?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/1 - 1978\/14. Let c = -126 - v. Suppose -4\/7*y**3 + 16\/7*y**2 + 12\/7*y - c = 0. What is y?\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*z - 6*z**2 - 11 - 2 - 4*z wrt z?\nAnswer: -12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61567, 246259, 554079, 985027?\nAnswer: 1539103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.137275047 to 3 decimal places.\nAnswer: -1.137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -4*y**2 + 0*y**2 + y**3 + 8*y**2 - 2*y - 6. Let l be b(-4). Let v be l\/8 + 3\/(-12). Solve -2*t + 4 + 0 = v for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23312 (base 9) to base 11.\nAnswer: 10769","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2+12496670\nAnswer: 12496668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 divided by 43?\nAnswer: -41\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 138251?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20*u**4*w + 5*u**4 + 1079*u**3*w + 3*u**3 - 2*u**2*w - u*w + 1893666*w wrt u.\nAnswer: -480*u*w + 120*u + 6474*w + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 3. Suppose 0 = -z*b - 3 + 31. What are the prime factors of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (484 - 276) + -181 - (-62 - 0)\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.38552 rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 7) to base 6.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 645 - 1900?\nAnswer: -1255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3*q**2 - 2*q - 2. Let l = -53 - -74. Calculate the remainder when l is divided by f(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1680690732 rounded to the nearest 1000000?\nAnswer: -1681000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448) + 2*(sqrt(2448) - (-3 + sqrt(2448))) + sqrt(2448))**2.\nAnswer: 288*sqrt(17) + 9828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -273, -280, -291, -306, -325, -348?\n\"Answer: -2*n**2 - n - 270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 - 368 - (0 - 3 - 12)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 51127618?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of 7 + 0*n**2 - 2\/3*n**3 - 12*n. What is the derivative of w(k) wrt k?\nAnswer: -4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10233 at least -281?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27 - 11. Is 16 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -4 + -7 - (49 - 27).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -543*k + 548*k = 10, 4*d + 10 = -0*d + k for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -106178\nAnswer: 212356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 2:49 PM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 at least -175436\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*q**3 - 140*q**3 + 138*q**3.\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o + 5*i + 11410 - 11617, -36 = -2*o - i for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -2\/3, -0.49, 0.\nAnswer: -2\/3, -0.49, -2\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, b: 1, t: 3, g: 1}. Give prob of picking 1 g and 2 t.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 2\/21, -2\/19 in descending order.\nAnswer: 2\/21, -2\/19, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 276 and 207?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 + (-594)\/45)\/(3*5*(-16)\/(-100)).\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 191\/3120 and -5\/208.\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15678 and 702.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, 22503, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-216*j + 116 - 116)*(-j - j + 4*j).\nAnswer: -432*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(2700)*-2*-1)\/((sqrt(144)\/sqrt(4))\/sqrt(4) - sqrt(324)*1).\nAnswer: 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14 - 3520?\nAnswer: -3534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -400 divided by -8\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 20974821 to the power of 1\/2, to the nearest integer?\nAnswer: 4580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227 is divided by 60?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 4*g - 45. Let j be k(12). What is the second derivative of -13*a - 71*a**3 - j*a**5 + 7*a**5 + 71*a**3 wrt a?\nAnswer: 80*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16236 + 19048*w**2 - 8112 - 4743*w**2 - 8124 as f*w + g*w**2 + z and give g.\nAnswer: 14305","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5\/(-3))\/(1\/3). Let a(j) = j**2 + 27*j - 4. Let c be a(-27). Does c = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 - 9*d - 6. Let o be w(10). Solve o*x - k - 8 = 0, 5*x - 2*x + 5*k = 29 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1593298492 a multiple of 274?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5\/2 - 2)*0. Let y = -127 - -126.8. Which is the nearest to x? (a) 4 (b) y (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11.61349 - -0.20551. What is c rounded to zero dps?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -661201 (base 8) in base 4?\nAnswer: -312022001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(2\/23)*r**0*r**(2\/11)\/r*r*r**(2\/15)*r assuming r is positive.\nAnswer: r**(5321\/3795)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-5 + (9 - -5) + -9)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3109332617 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of w**4\/12 + 33*w**2\/2 + 3*w. Let f be v(-8). Suppose 0 = 3*a - f + 85. Solve 0 = -5*i + 2*j - a*j - 19, 4 = 2*i - 5*j for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 176017 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 4*l**3 - 2*l**2 - 7*l - 4. Let c(g) = 7*g**3 - 5*g**2 - 13*g - 7. Let h(u) = 3*c(u) - 5*y(u). Determine h(5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/12*345\/(-5750))\/((-13)\/4).\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.02, 16.11, -0.3, 0.856?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8000 by -40.\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 134016 or 1206139\/9?\nAnswer: 1206139\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - 2)*(7 + -2). Let t = j + 22. Solve 3*d - 22 = -t for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -611, -5013, -16809, -39635, -77127?\nAnswer: -132921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 346816, 2774358, 9363402, 22194700, 43349004, 74907066, 118949638?\n\"Answer: 346792*f**3 - f**2 + f + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2\/7 - 49062*c - 2747664\/7.\nAnswer: 3*(c - 114486)*(c + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-189))\/((-10)\/1149). Let f = -506 + 31877\/63. Let l = f - m. What is the second biggest value in 0, 2\/7, l?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 5*b - 148. Let c be p(30). Solve -4 = f - c*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 5*q + 12 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7, -2\/3, 4\/6859, -5, 19?\nAnswer: 4\/6859","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/15 in 2\/3, -1\/17, 62\/13?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1226, 2455, 3686, 4919, 6154, 7391, 8630?\n\"Answer: a**2 + 1226*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2484*y - 325710 = -101*y for y.\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u + 65. Let p(v) = -4*v - 63. Let j(c) = 6*d(c) + 5*p(c). Let w be j(13). Suppose 4*t + 11 = 3*t + 4*i, 3*i + 12 = 0. Which is smaller: t or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 2*l**5\/11 + 8*l**4\/11 - 20*l**3\/11 - 80*l**2\/11 + 18*l\/11 + 72\/11 = 0.\nAnswer: -4, -3, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -919, -2\/5, -5, 0.5, 1\/270 in ascending order.\nAnswer: -919, -5, -2\/5, 1\/270, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -11011011010010001 (base 2) to base 12\nAnswer: -54b81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p**2 - 6*p + 7. Let m = -3 + 18. Let s be m*1\/(-6)*-2. What is the tens digit of c(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7099, -7103, -7107, -7111, -7115?\nAnswer: -7119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -34 - (-80 + 38 + 5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of -o**5\/30 - 4*o**2 + 3. Let l(j) = 13*j**2. Calculate l(b(w)).\nAnswer: 52*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 AM and 12:19 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 172250?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -3*c - 4*p + 141, 5*p = 4*c - 121. Let d(q) = -q**3 - 3*q**2 + 50*q + 229. Let n be d(-5). Are c and n nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 11. Let d = 2 + y. Suppose d*s - 5*s = 0. Solve 2*z + 0*z - 3*p + 14 = s, -p - 10 = 3*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**0)**(-1\/3)\/(l**(-1\/3)\/l**(-1\/4))*(l**(-1\/4)*l\/(l\/(l\/l**(-7\/3))))**(30\/11) assuming l is positive.\nAnswer: l**(1121\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*t - 3 + 3 + 72*t.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/14)\/((-686)\/(-2401))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence glgl when four letters picked without replacement from zhlwzolg?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 15139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44)\/((-528)\/(-15)) - -2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -20 + -75?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(4)*-1)\/sqrt(2).\nAnswer: -4 - sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -19*k**3 - 84*k**2 - 257*k + 426. Let i(y) = -22*y**3 - 83*y**2 - 257*y + 439. Let x(d) = -6*i(d) + 7*j(d). Suppose x(b) = 0. What is b?\nAnswer: -87, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8375 and 125.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5377893, 0.2, -4?\nAnswer: -5377893","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 3:29 AM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2160 + -2026. Solve 132 = c + y for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2508107.4 months in decades?\nAnswer: 20900.895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 435614655?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 1448 = -4*a, -6*a + 2*a = 5*g + 1448. Let x = 43651\/26872 + 2\/3359. What is the common denominator of (-6)\/(-15) + a\/180 and x?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -0.4, -423\/5, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -44 - 20226?\nAnswer: -20303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence njpn when four letters picked without replacement from {n: 2, j: 1, p: 4}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence on when two letters picked without replacement from {c: 1, n: 3, o: 11, p: 5}.\nAnswer: 33\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1445150*q*y**3 - 47*q*y + 387918*y**3 - 11*y**2 - y wrt q?\nAnswer: -1445150*y**3 - 47*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 27546 * -2.095\nAnswer: -57708.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -1704*w**2 + 6*w + 372. Let j(m) = -3405*m**2 + 14*m + 747. Let o(t) = -9*i(t) + 4*j(t). What is the second derivative of o(a) wrt a?\nAnswer: 3432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (12 + -6) - 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 9:25 PM?\nAnswer: 2:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/24)\/((1580\/(-1185))\/((-8)\/3))\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.17 - -2.05. Let z = -3.6 + 4. Let k = -0.5 - -0.5. Sort z, d, k.\nAnswer: d, k, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + 0 + 1674\/20. Let l = -7933\/90 + h. Find the common denominator of 17\/11 and l.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((57\/190)\/(5\/5 + -2))\/3.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(3\/2)\/((z**4\/z)\/z)*(((z\/z**(-4))\/z)\/z)\/z**(-1\/5) assuming z is positive.\nAnswer: z**(27\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v**3 + 8*v**2 + 9*v + 11. Let q be p(-5). Let x = q + 84. Is -1\/8 at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 15) to base 12\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3335.\nAnswer: 5, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z**3 - 27*z**2 - 8*z + 26. Calculate l(-13).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2488503?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1174460406 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 + 3*g**2 - 3*g**2 + (-g - g + 3*g)*(0 + 0 + g) + 0*g**2 + 2*g**2 + 0*g**2 + 0 + 2*g**2 + 0 - g + g - 2*g**2)*(5 - 1 - 5).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qh when two letters picked without replacement from hvhvvqvhhvyyv.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -37 - (-69 + 23 + -23). Let n = 0.1 - 0.6. Which is the biggest value? (a) i (b) -2\/17 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q + 15. Let j be b(8). What is the second derivative of -2*y + 14*y**3 - 2*y - 7*y - j*y**3 wrt y?\nAnswer: -102*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 4 + g + 4 - 3 - 7*g**3. Let b be 1\/(1 + 1)*-2. Let c(w) = w**3 - 1. Give b*p(h) - 5*c(h).\nAnswer: 2*h**3 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 272 and 1053796?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 - 29. Let z be 9 - (-4)\/(s\/9). Is 6 not equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 1:51 AM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l**3 - 30*l**2 + 54*l - 12. Let b be k(13). Solve -16 = -10*w + b for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t + 4, -57 = -2*z - 5*t - 59 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 948.4717 millilitres to litres.\nAnswer: 0.9484717","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = k - 1, 3*k - 109 = h. What is the lowest common multiple of 39 and (12\/(-42))\/(4\/h)?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -58705 * 0.6.\nAnswer: -35223","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -226, -237, -248, -259, -270?\nAnswer: -281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1628 (base 15) to base 13\nAnswer: 2225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 45397 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of m**6\/60 - 11*m**5\/80 + 11*m**4\/24 - 19*m**3\/24 + 3*m**2\/4 + 55*m + 1. Let t(a) be the first derivative of j(a). Factor t(c).\nAnswer: (c - 2)*(c - 1)**2*(2*c - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.138 * 1587.8\nAnswer: 1806.9164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*y**3 - 385*y**2 + 195*y**2 - y**4 + 10*y - 4*y**4 + 195*y**2.\nAnswer: -5*y*(y - 1)*(y + 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of -j**7\/168 - j**6\/18 - 5*j**5\/24 - 5*j**4\/12 - 4*j**3\/3 - 2. Let l(y) be the third derivative of x(y). Factor l(o).\nAnswer: -5*(o + 1)**2*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1566 a factor of 1044522000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 - 14*b + 8. Calculate u(-7).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/(-10))\/(3\/6). What is the closest to 1 in -1, 2\/3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (-31 - (-34 - (-7 + -7))) - 79\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -44302356 - -4?\nAnswer: -44302352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -38\/15*u + 2\/15*u**2 - 44\/5 = 0. Calculate u.\nAnswer: -3, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3 - 3)*(-307 + 312 + 2*f**2 + 12*f**2) to the form l*f + j*f**2 + q and give j.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 812542?\nAnswer: 2, 406271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-2*230\/(-92).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 123563*w. Let z(r) = -9*r. Calculate i(z(p)).\nAnswer: -1112067*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*d**2 + 3*d**2 + 3545 - 1103 + 1065.\nAnswer: 16*d**2 + 3507","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*w = -51*w - 102. Calculate the highest common factor of w and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 - 5. Let b be m(0). Let s = b - -9. Does 2 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 12) to base 2.\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 7\/4, -0.1, 1\/6, 60, -14, -3 in descending order.\nAnswer: 60, 7\/4, 1\/6, -0.1, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 + -70 + 37 + 31 + -15?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42865 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5570, -11338, -17106, -22874?\nAnswer: -28642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18839 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + sqrt(19)) + -4.\nAnswer: -3 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 4*g + g**2 - 5*g + g**3 + 224 - 220. What is t(-3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 199 is divided by 26.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -119, -121, -125, -131, -139, -149?\nAnswer: -161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36 + 35.99. Let u = -0.33 - 0.27. Let h = 0.5 + u. Which is the nearest to v? (a) -2\/5 (b) 0.4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -114*(2\/6 + -1). Let u = -49 + x. Suppose 3*l - 16 = -4*f, 2*l - u = -7*f + 2*f. Is 2 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 + 7*m**2 + 5*m + 3. Let y be t(5). Suppose 4*s - 38 = y. What is the remainder when s is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 - 17. Let v(i) = i**2 - 4*i. Let q be v(5). Let l be (18\/(-30))\/(2\/q). What is the smallest value in -1, l, a?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/(18\/964)*1. Let y(s) = -s**3 + s**2 + 2*s - 3. Let t be y(-9). Let i = t - w. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.2 (b) -1 (c) 0.7 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 5*x**2 - 8*x + 8. Let p(o) = -3*o**2 + 5*o - 5. Let w(j) = -5*l(j) - 8*p(j). Let y = -18 - -23. Let u(f) = -3*f + 0*f + y*f. Calculate w(u(m)).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 386558897.\nAnswer: 103, 3752999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 4*i - 478 = 0. Suppose 235*y = 1454 + 3246. Calculate the remainder when i is divided by y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -3\/2, 7, 113 in increasing order.\nAnswer: -3\/2, -1\/3, 7, 113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -15*l + 4. Let f(k) be the second derivative of -7*k**3\/6 + k**2 - 24*k - 1. Suppose -9 = -6*r + 9. Calculate r*n(u) - 7*f(u).\nAnswer: 4*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -724*o**3 - 2*o**2 - 4*o - 80. Let g(d) = -2*d**3 + d**2 + 2*d + 3. Let v(l) = 2*g(l) + j(l). What is the derivative of v(p) wrt p?\nAnswer: -2184*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 49208\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3476 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.55 - -1.05. What is the closest to -1 in 3\/4, -2, k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 4*v = 0, -v = -5*v + 20. Let h(c) = 5*c + 0*c**2 + 0*c**2 - 21*c + j - c**2. Let m be h(-15). Calculate the highest common divisor of m and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -67*m**3 - 8*m**2 + 2*m + 4. Let n(r) = 132*r**3 + 18*r**2 - 4*r - 9. Give -9*i(z) - 4*n(z).\nAnswer: 75*z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 2\/15, 18, -194, -12\/13, 2 in decreasing order.\nAnswer: 18, 2, 0.5, 2\/15, -12\/13, -194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - -473?\nAnswer: 477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-9)\/(-126))\/(155\/186))\/(9\/(-495))?\nAnswer: -33\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11056597 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 311 (base 4) to base 14.\nAnswer: 3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2223 + 22300100?\nAnswer: 22302323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in five eighths of a millennium?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g - 4. Let z(d) = -d - 5. Let x(a) = 6*w(a) - 4*z(a). Let f(c) = -17*c + 100. What is the remainder when x(-4) is divided by f(5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 1)*(8*a + 4*a - a) - a + 4*a - 4*a.\nAnswer: 10*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 2 - 4 - 13 - (-33 + 41)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*c + 104*c - 75*c.\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(-17) - 24\/(-1). Suppose -23*q = -s*q + 143. List the prime factors of q.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -652*d + 442*d + 7973 + 4921 - 4074 = 0 for d.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2\/4 - 93*o\/4 - 225\/2.\nAnswer: -3*(o + 6)*(o + 25)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -4712.0408 to the nearest 100.\nAnswer: -4700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 58664989?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 509221 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + 0 + 2 + (9 - 11).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 291*h - 2*h + 463*h = 128*h - 13104 for h.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.69 - 4.7. Round c to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - 5*w**2 + w - 2. Let t be m(5). Let a = 1\/61 + -125\/183. What is the third biggest value in t, -1\/11, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = -3*v, 0 = p + 5*v - 20. Suppose 13*u = 9*u + p. Sort -4, -5, u in descending order.\nAnswer: u, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 + -4 - 1) + -3. Let o(r) = 7*r**2 + 4*r + 4. Let v(b) = 20*b**2 + 11*b + 11. Let y(j) = t*v(j) + 17*o(j). Let f be y(0). Solve -2 - f = -2*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/180*-16)\/((-10)\/200)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4e1 (base 15) to base 12.\nAnswer: 787","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1319 is divided by 61.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 4 + -1 + -3 + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -54.754 and -1309.\nAnswer: -1363.754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00045 rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 10 + q + 11*q**2 - q**3 - 7*q - 11*q + 5*q. Calculate the remainder when d(8) is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/567*-6 + (-2)\/(-9)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a0032 (base 13) in base 10?\nAnswer: -285651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10860742 is divided by 420?\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 115 and 1245105?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*d - 10*d - 11*d)*(0*d - 2*d + 0*d) + 3*d**2 - 2*d**2 + 6*d**2 + (1 - d - 1)*(0*d + d - 2*d).\nAnswer: 38*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-2)*p*p**(-2\/23))**26*p**(-6)\/p*p*p\/p**(-4)*(p\/p**(-1\/2))**17 assuming p is positive.\nAnswer: p**(5807\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1024 and 160?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of t**8\/560 + t**4\/6 - 2*t**3\/3 + 2*t**2. Let m(w) be the first derivative of b(w). Differentiate m(f) with respect to f.\nAnswer: 12*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/88568 and -143\/66426?\nAnswer: 265704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/5, -35, -28.1, -40?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffq when three letters picked without replacement from {f: 14, q: 5}?\nAnswer: 455\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - 0)\/((7\/108)\/(-7)). Suppose 7*p + 24 - z = 0. Calculate the smallest common multiple of p and 9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9745 - (2 - 3)*-2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 709245 is divided by 29?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 862840 divided by -148?\nAnswer: -5830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 6 (c) -1\/2 (d) 269\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*b*h**5 - 25*b*h**2 - 256*b - h wrt h?\nAnswer: 120*b*h**3 - 50*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -2\/43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l - 55 + 20 + 24. Calculate a(10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 28*m**3 + 6*m**2 - 2*m + 1. Let k(i) = -56*i**3 - 15*i**2 + 5*i - 1. Give -5*f(p) - 2*k(p).\nAnswer: -28*p**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3056 (base 7) to base 4.\nAnswer: -100232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of 0*p**6 + 0*p**5 + 2\/21*p**7 - 5*p - 1\/6*p**3 + 0 + 0*p**4 + 0*p**2. Find the second derivative of n(m) wrt m.\nAnswer: 80*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -2*p + 33. Let i = -6 - p. Let f(b) = -b**3 + 7*b**2 - 7*b. Let v(s) = -s**3 + 8*s**2 - 8*s. Determine i*v(a) - 6*f(a).\nAnswer: a**3 - 2*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 724776677 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d - 13. Let z be k(-13). Which is greater: z or -0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154 = -18*u + 68 + 48 for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -8508.\nAnswer: 1\/4254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 87*k*m**3 + 4079*k*m + 7391*m**3 + 94*m**2 wrt m?\nAnswer: 522*k + 44346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 730840 to the power of 1\/4, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(0 - (-2 - -3)). Find the third derivative of -i*x**4 + x**2 + 7*x**2 - x**2 - 3*x**4 wrt x.\nAnswer: -168*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 156\/25 - 13703\/2200. Is z at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8143 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29 by 31798053.\nAnswer: -29\/31798053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**5\/2 + 9*y**4 - 2235*y**3\/2 + 5356*y**2 - 4248*y = 0. What is y?\nAnswer: -59, 0, 1, 4, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2031 and 35970165.\nAnswer: 35968134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 7 = 5*l, -2*v = -l - 0*l - 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 688960 and 18320.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -3. Let m be (-2 + l)\/((-10)\/65). Let n = -116 + 181. Calculate the greatest common divisor of m and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 1 + (-5 - -3) + 5?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of -v**6\/60 + v**5\/12 - 13*v**4\/24 - 5*v**3\/6 - 2*v**2 + 6. Find the second derivative of t(j) wrt j.\nAnswer: -12*j + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*n + 6*n + 477. What is the remainder when n is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -135, -115, -95, -75, -55, -35?\n\"Answer: 20*k - 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 20 - 13323041?\nAnswer: -13323021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**2. Let m(q) be the first derivative of 0*q - 167 + 0*q**2 + 43\/3*q**3. Calculate m(s(r)).\nAnswer: 172*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 3:23 PM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.519786cm to meters.\nAnswer: 0.05519786","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = w - 44 + 59, -3*z - 11 = 2*w + 4 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/2)\/((-44)\/16 + 2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + t + 27. Is 8 a factor of k(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 263*y + 1842. What is the least common multiple of 1404 and u(-3)?\nAnswer: 4212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -301 = -38*j - 85 + 88 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 take away 0.060562466?\nAnswer: -0.460562466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-6) - 245\/21. What is the remainder when (-816)\/(-15) + k\/30 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + 2. Suppose -4*n + l*f = -19, -n - 4*f = -3 - 7. Is n a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.032379261 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10 or -15?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of 23*a**4\/24 + a**3\/6 + a**2. Let u be j(1). Calculate the greatest common divisor of u and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 y when three letters picked without replacement from {d: 1, y: 1, w: 2, e: 3, v: 4, j: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -275\/7 + 39. Let n = -2.1 + 3. Let g = n + 3.1. What is the second smallest value in g, x, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 13 = -2*x. Let t(w) = -3*w. Determine t(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -659*(3 + (-6 + 8 - 6)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 126556368 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + 0 - (-4)\/4. Suppose -9 = -5*z + i. Find the third derivative of -2*f**5 + 3*f**2 + f**2 - 2*f**z wrt f.\nAnswer: -120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 33\/(-60) - 2\/(-8). Suppose 36*h = 35*h. Suppose 14*k + 19 - 33 = h. What is the nearest to -1 in k, 5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - 5)*(-20)\/50. Let i(w) = -w**3. Let a(d) = d**2 + d - 1. Let n be a(0). Let b(h) = -h**3 + 1. Let o(g) = n*b(g) + p*i(g). Differentiate o(s) wrt s.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 20 = 2*s, 0 = -3*y + 2*s - 13 + 1. Let k be 13\/6 - (6 + y). Which is the closest to -2\/9? (a) 0.1 (b) k (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.7 take away -4?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 520 or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*r + 19*r - 5 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oodc when four letters picked without replacement from {b: 1, l: 1, j: 2, o: 2, d: 5, c: 2}?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 1354*n + 8646. Let q be h(-6). Solve -508*t = -q*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4898\/2045 - -2\/409. Let b(o) = -846*o - 32146. Let d be b(-38). Is d at least z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - 2*c**2 - 3*c - 3. Let f = 4 + -6. Let q be b(f). Let d(g) = -6 + g**2 + 5 - q*g + 0. What is d(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((sqrt(65) - sqrt(65)*-1) + sqrt(65))*-4 - (6*(sqrt(65) - 1*sqrt(65)) + sqrt(65)))\/(-1*-6*-1*sqrt(605)).\nAnswer: 65*sqrt(13)\/66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u**(-1)*u*u)**(-11)*u**9*u**(1\/4) assuming u is positive.\nAnswer: u**(-95\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**2 + l**2 - l**2)*(-3876*l + 3820*l - 2 + 4).\nAnswer: -168*l**3 + 6*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -5.2869\nAnswer: -15.8607","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3509 is divided by 486?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -709495.299951 - -709499.7. Let v = 30 + -34.4. Let o = v + p. Round o to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -965*k**2\/3 + 991*k\/3 - 26\/3 = 0?\nAnswer: 26\/965, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 2*i**2 - 66248*i + 66246 = 0.\nAnswer: 1, 33123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 76\/18 + (-14)\/63. Suppose 3*k + 3*h - 12 = 12, q*h - 23 = -k. Solve 0 = y + k - 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -7*c**2. Let w(t) = -123*t + 5. Let k be w(-1). Let d(b) = 127*b**2 - 257*b**2 + k*b**2. Determine i(d(n)).\nAnswer: -28*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(420)*-3)\/(2*1*sqrt(12)))\/(3*1*sqrt(5) + sqrt(5) + (sqrt(5) + 1*sqrt(5))*1).\nAnswer: -sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-3) - 14\/(378\/45)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 148918*q + 135455?\nAnswer: 148918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 630229543?\nAnswer: 43, 14656501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {x: 8, k: 2}?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -1\/4 (b) -36 (c) -5 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -480*f**3 + 1479*f**2 - 1077*f + 78 = 0.\nAnswer: 13\/160, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**3\/5 + 159*j**2\/5 + 1329*j\/5 + 1169\/5 = 0 for j.\nAnswer: -7, -1, 167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4776 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1059 > 822?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -31*g**3 - 2*g**2 + 5*g + 5. Suppose -m = -l + 5, l = 16*m - 20*m + 25. Let p(o) = 30*o**3 + 2*o**2 - 4*o - 4. Determine m*s(f) + 5*p(f).\nAnswer: 26*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**4 + 113*t**3 - 2850*t**2 = 0. Calculate t.\nAnswer: 0, 38, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1620 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-8) - (-330)\/(-24). Let x = 32 - g. List the prime factors of x.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 5, -4, -66 in increasing order.\nAnswer: -66, -4, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-21061 + 21061 - 132*t**3)*(2 - 7 + 2) + 2*t**2 - 2*t**2 - 2*t**3 to the form s*t**2 + v + g*t**3 + l*t and give g.\nAnswer: 394","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/3)\/(14\/21). Let k(i) = 4 - i - d. Calculate k(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.062 and 0.8955.\nAnswer: 0.8335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m\/(m**(-7)*m))*m**(2\/21)*m**(-6)*(m\/(m**1*m))\/m)**(-2\/5))**(-21) assuming m is positive.\nAnswer: m**(-626\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**9)**(-34))**(-24\/11) assuming g is positive.\nAnswer: g**(7344\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of -x**5\/60 + x**4\/6 - 2*x**3\/3 - 2*x**2. Let d be u(3). Let a(b) = 11*b**2. Is a(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21*(112\/63)\/16.\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -75 - -35. Let k be (m\/30)\/(22\/(-45)). Which is smaller: k or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*c - 10 = 46*c. Let b be (-20)\/6 - (-14)\/(-21). Put b, c, 1 in ascending order.\nAnswer: b, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3728*x = -3*k - 3726*x - 9, 5*k - x = -15 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -119393377 * -3\nAnswer: 358180131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + 5*t**2 - 9*t + 5. Let m be 18\/(-42) - (-22)\/(-14). Let o(n) = -2*n**2 + 4*n - 2. Calculate m*x(c) - 5*o(c).\nAnswer: -2*c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.026 in -1, 2, 3, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c - 5 = 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 13) to base 12\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1824 + -763. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-336)\/20)\/(-21)*110\/(-517)\nAnswer: -8\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 213 a factor of 6903543?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -80.21869 times -0.4\nAnswer: 32.087476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 5, 3 in increasing order.\nAnswer: 3, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 - x. Let w(j) = 7*j**3 + 2*j**2 + 4*j. Determine -4*i(r) - w(r).\nAnswer: -7*r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-25)\/(-15)*(-270)\/5175\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 406690, 1626692, 3660022, 6506674, 10166642?\nAnswer: 14639920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 152?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2575056 to the nearest integer?\nAnswer: 1605","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 57 and 9?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**5 + 36*i**4 - 160*i**3 - 36*i**2 + 162*i = 0. What is i?\nAnswer: -1, 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 0.5 (c) -2 (d) -1.28 (e) -6\/269\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2101100212 (base 3) to base 6\nAnswer: 1001122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 76597043 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 1 (b) 3 (c) -2\/119 (d) 0.98 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01725 rounded to 3 dps?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nq when two letters picked without replacement from ninqqnqqmxqm.\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f - 7*f**2 + 207 + 81*f**2 - 209 + 253*f**2 + 2*f as p + d*f**2 + v*f and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/22 and -31\/315843.\nAnswer: 631686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/4 - (-13)\/10. Let r = -0.00102 + 0.20102. What is the nearest to 1\/3 in 0.4, r, n?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3226 + -3151. What is the highest common divisor of 1425 and u?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 173934 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/r**(-2\/27))\/((r\/r**(-3\/22))\/r))**(3\/31))**(5\/9) assuming r is positive.\nAnswer: r**(2785\/55242)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (84*l - 45*l - 43*l - l**3)*(-63*l - 56 + 50 + 37*l) to b*l**4 + z + n*l**2 + k*l**3 + s*l and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 135 and 945.\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.2 + -0.8. Let h = 3\/2 + -1. What is the nearest to 0 in 0, n, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -686915 > -686913?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, r: 1, c: 1}. What is prob of sequence nr?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 4) + 0 - (4 - -43) - 11.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 75 + -39. Let z = j + -19. Suppose -201*q + 192*q + 90 = 0. Calculate the remainder when z is divided by q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 5 + 0)*(54*n**3 - 35*n**3 + 99*n**3) to the form c*n**2 + q + s*n**3 + d*n and give s.\nAnswer: -708","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - s**2 + s + 2721. Let w be r(0). Let b = -231244\/85 + w. Let g = 2\/17 + b. What is the second biggest value in g, -2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -4*r + 7, -3*z + 5*r - 61739985 = 0. Round z to the nearest one million.\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 9*d**3 - 17*d**2 - 11*d. Let o(h) = -34*h - 99. Let y be o(-8). Let b = y - 156. Let f(l) = -3*l**3 + 6*l**2 + 4*l. What is b*f(g) + 6*q(g)?\nAnswer: 3*g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 139, 543, 1217, 2161, 3375, 4859?\nAnswer: 6613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2. Let h(x) = -x + 3. Suppose -3*p + 3*z = 15, -p + 3*z = 2 + 1. Let l(n) = -6*n + 22. Let k(u) = p*l(u) + 44*h(u). What is k(i(o))?\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.287 and 0.5.\nAnswer: 0.1435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 115*f**3 + 2850 - 2850 + (-4*f + f + 2*f)*(0*f**2 + 2*f**2 - f**2).\nAnswer: 114*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/41? (a) 0.01 (b) -1\/6 (c) 0.169\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -65.057 - -65. Let y = -0.243 + u. Which is the nearest to 0? (a) y (b) 5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) -0.5 (c) -2 (d) -2\/5 (e) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 63776 greater than 829084\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/2)\/(b\/(b*b**4)))\/(b\/b**(1\/5)*b**(2\/11)) assuming b is positive.\nAnswer: b**(277\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h - 126 + 148 = 0. Solve 0 = 3*k - r - 13, 3*r = h*k + 2*r - 9 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 16*p - 127. Let s be 0 - 1 - (-42)\/(-6). Let o = p + s. Solve o*x + 5*g + 10 = 0, 0 = -2*x - 0*g - g + 5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2289467883.\nAnswer: 3, 763155961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 2*k + 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a - 3. Let v be u(9). Let y = v + 19. Let o be -1*(3 + y) - -6. What is the highest common divisor of o and 50?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -44 - -44. Suppose -5*c - j + t*j + 14 = 0, -2*c - 4*j = -20. What is the third derivative of 68 + 3*q**3 + 22*q**3 - 19*q**c - 68 wrt q?\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7952072*f**2 - 753732*f + 35721\/2 = 0. Calculate f.\nAnswer: 189\/3988","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(1539) + sqrt(1539) + 4*(sqrt(1539) - (sqrt(1539) + 1)))**2 - ((sqrt(1539)*1)**2 + 5)).\nAnswer: -144*sqrt(19) + 4628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 130909\/48 + -2729. Find the common denominator of s and -85\/42.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.328 to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -38\/5 + 91\/10. Let q be ((-168)\/(-40))\/(2\/(-10)). Let f = -23 - q. Sort f, t, 1 in descending order.\nAnswer: t, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 19*l**2 - 4*l - 8. Let c = -24 - -16. Let j be f(c). Let k = j - 4913\/4. Find the common denominator of -49\/10 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1650*l**3 - 6359*l - 56107032.\nAnswer: 4950*l**2 - 6359","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qrrq when four letters picked without replacement from brrbbqbrqqbr.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 5) to base 3\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a - 5*a + 2*a)*(-7 + 5 - 5) + (2 + 2 - 3)*(-3*a - 5*a + 2*a).\nAnswer: -13*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - d = -k + 3, -5*d = -5*k + 25. Suppose 0 = -k*n + g + 11, -3*g - 1 = 4*n - 0*g. Suppose n = -4*s - 6. What is the nearest to s in -6\/7, 0, -0.3?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 PM and 3:11 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 221231121 (base 4) in base 12?\nAnswer: 82a49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -339262 = 1018*o + 3388*o for o.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 30\/(-30) - 3*-1. Suppose -z*k - k + 12 = 0. Find the third derivative of -12*n**k + 0*n**2 - 17*n**4 + 5*n**2 + 17*n**2 wrt n.\nAnswer: -696*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1*-6)\/((-10)\/5). Suppose 3*j + m*b + 30 = 0, -b + 35 = -0*j - 4*j. What is the tens digit of j*((-28)\/(-12) - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -237*l**3 + 9 - 248*l**3 - 1 + 1 - 5*l**2 + 484*l**3 + l. Suppose 3*h + 30 = -3*h. Determine g(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 10*q + 18 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + 7\/5)\/(33\/4950). Let w be 11 - (j\/(-14) - 4\/(-14)). List the prime factors of ((-5)\/(w\/(-8)))\/(1\/18).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of f**5\/90 - f**4\/3 - 31*f**3\/9 + 110*f**2\/9 - 4586*f. Suppose h(s) = 0. What is s?\nAnswer: -5, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 - 13*c + 30. Let f be g(10). Let p(y) be the first derivative of -5*y**2 + 17*y + 2. Calculate the lowest common multiple of 9 and p(f).\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 3*k**2 + 4*k + 1. Let y be r(4). Suppose -4*n + 34 = -2*n. Calculate the remainder when ((-32)\/(-20))\/(y\/20) is divided by n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3226400 to the nearest 100000.\nAnswer: 3200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001467 to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.1, 3, 4 in decreasing order.\nAnswer: 4, 3, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/5, 4, 3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 7033, 28135, 63305, 112543?\n\"Answer: 7034*b**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1115.3 - -1115. What is the third smallest value in 5, v, -2.36?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -0.1, -1, 2\/21, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 8 = -3*q. Let y be -6*(q\/1 - -1). Let i = y - -1. List the prime factors of i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of 5*t**2\/2 - 3*t + 3. Let l(q) = -1. Let v(i) = -j(i) + 6*l(i). Calculate v(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*n + 58*n = -123 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -49, -0.4, 0 in descending order.\nAnswer: 0, -0.4, -5, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -2. Let c = -10 + 16. What is the least common multiple of r and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -3*h**3 - 16*h**2 + 8*h - 13. Determine m(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11011 (base 2) in base 13?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence he when two letters picked without replacement from hffhehfhefheh.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90888 is divided by 561.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ymwjdjjwdwww. What is prob of picking 1 d and 1 j?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + r - 7 = 0, 4*r = -3*n + 3480 - 3457 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-14) - 66\/84*-8. Suppose 89 - 17 = v*q. Suppose -q*j + 13*j = 70. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -114*g + 1859. What is m(15)?\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 25 - 15 + i**2 + i**3 - 21. Calculate y(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hluvvhovuvuv. Give prob of sequence vvu.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence meme when four letters picked without replacement from {n: 5, q: 1, e: 4, m: 3}.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzpvkpvpzpzzzpppkzp. Give prob of picking 2 p and 1 v.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gqczhqhz. What is prob of sequence hgcq?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4179281477 to the nearest integer?\nAnswer: 64647","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000032839 rounded to six dps?\nAnswer: -0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4c4 + 4?\nAnswer: 4c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -60 - -94. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mgme when four letters picked without replacement from mgeme?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -17*f**2 - 2400*f - 912. Determine k(-141).\nAnswer: -489","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40476193 + -40476391.123196. Let z = f - 925.8769007. Let s = z + 1124. What is s rounded to 5 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*x + 5*l - 157121 = 0, 5*x + 4*l - 37421 = -0*l. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(448)*1 + sqrt(448))*2)**2.\nAnswer: -384*sqrt(7) + 7204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 57 = -39. Let h = p + -8. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 178, 184, 194, 208?\n\"Answer: 2*x**2 + 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 552375 to the power of 1\/2, to the nearest integer?\nAnswer: 743","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5904 and 128288754.\nAnswer: 1026310032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14 or -1.47799?\nAnswer: -1.47799","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1627, 3250, 4863, 6460, 8035, 9582, 11095?\nAnswer: 12568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.205 + -2.305. What is the closest to u in 9, -92, 0.2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/163023903 and -22\/483.\nAnswer: 3749549769","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2650?\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + -4. Let t be q\/42*(-12)\/(-8). What is the biggest value in t, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2010?\nAnswer: 2, 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-69 - -99)*(3 + (-24)\/9). Let g be -9*(-1)\/(-4)*132. Let z = a - g. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xoxhzjh. What is prob of sequence xj?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 701?\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -66 - -67. Which is the third smallest value? (a) m (b) -0.1 (c) -0.07 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-10)*(-1553)\/(-4659).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13199\/5 - -184791\/70. Let j(w) be the second derivative of -1\/10*w**6 - 9\/20*w**5 + 5\/4*w**4 + 33*w + 0*w**2 + 0 + g*w**7 - w**3. Factor j(i).\nAnswer: 3*i*(i - 1)**3*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2\/13, 31\/3 in increasing order.\nAnswer: 2\/13, 5, 31\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**5 - 2*i**3 + 2*i**3 + i**4 - 2 - i**5 - i**4 + (-2*i + 2*i**4 + 2*i)*(0*i + 0*i + i) - 2*i**5 + 6*i**5 + 6*i**5 + 60*i**5 - 13*i**5 - 3*i**5.\nAnswer: 54*i**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 0*w = -4, -3*m + 5 = 5*w for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 - 1. Let n(r) = r**3 - 6*r**2 - r + 15. Give -6*h(s) - n(s).\nAnswer: -s**3 + s - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 70838690 to the nearest integer?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 12. Let j = -0.3 + 0.1. Let c = j - 0.8. Sort c, s, 0.3 in descending order.\nAnswer: s, 0.3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.5542839ml?\nAnswer: 0.0005542839","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -4*k**2 - 10*k + 13. Let s be a(-3). Put 2, 23, s in decreasing order.\nAnswer: 23, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 + 120*w + 1754. Let z be h(-103). Which is the closest to -122? (a) z (b) -0.1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k*k**(-26)*k*k**(-4\/9) assuming k is positive.\nAnswer: k**(-211\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 21*o + 139. Let f(j) = 114*j + 696. Give 16*a(q) - 3*f(q).\nAnswer: -6*q + 136","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 352, 1395, 3150, 5617, 8796, 12687?\n\"Answer: 356*g**2 - 25*g + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 0*o - 3*q = 120, 4*o = 5*q - 124. Does o = -35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 - 4*j**2 + 14. Let t be z(4). Suppose 15 = -5*x, x + 13 = 2*u - t. Solve 10 + 2 = u*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 7}. What is prob of sequence zzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -5*t + 25, 4*r + r - 25 = 0. Which is bigger: 1\/31 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5198*j + 4*h - 80 = -5208*j, 27*j - 10 = 28*j + 4*h for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 - -21. Let c(i) = i**3 - 21*i**2 - i - 1032. Let f be c(23). What is the highest common factor of f and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 162 + -807\/5. Which is the smallest value? (a) 0 (b) r (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321906 to the power of 1\/2, to the nearest integer?\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42930)\/972*13\/((-390)\/72).\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vuqojjo. Give prob of picking 1 u and 2 o.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 197*d**2 - 3. Let u(y) = 17*y**2. What is m(u(h))?\nAnswer: 56933*h**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9\/7 - -285\/287. Let c = 3591\/82 + y. What is the common denominator of c and 61\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2 - 1786180*s - 5358504.\nAnswer: -4*(s + 3)*(s + 446542)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2369411 divided by -4583\nAnswer: 517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -135*l**4 + 1173*l**3 - 432*l**2 - 2412*l - 672 = 0.\nAnswer: -1, -14\/45, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 77067129 to the nearest integer?\nAnswer: 8779","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, j: 3, i: 1, p: 3, q: 2}. What is prob of picking 2 p?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33\/81*(-55785)\/(-40909).\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (20\/(-8))\/((-28)\/8 - -3). Solve -l*s - 3*a = -16, -4*s - 2*a + 14 = s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*g - 98*g - 9*k + 54 = 0, -3*g + 6*k - k + 82 = 0 for g.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 8*w**3 - 2*w**2 - 49*w - 30. Let p(a) = -a**3 - 2*a**2 + 9*a + 1. Let c(t) = j(t) + 6*p(t). Determine c(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27689590, -55379183, -83068776?\nAnswer: -110758369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7 + 2)*14\/6. Let x be h - (0 + 12\/4). Suppose 0 = -3*y - 2*r + 54, -r + x = y + 3*r. Is 9 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 52, 79, 104, 127, 148, 167?\nAnswer: 184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 = -5*n - 14. Suppose 12*x - n = 11*x. Let w(u) = 14*u - 27. Does 31 divide w(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*l - 16*l + 13*l - 7*l + 28*l - 19*l - 15*l.\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + 17*m**2 + 36*m + 22. Determine d(-15).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2*n = -4*v + 590, v = -n + 149. Suppose -v = -6*p + 3*p. Is p a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -3*a**2 - 9*a + 35. Let q be w(-5). Let x(p) = q - 7 - 2*p - 1 - 2 - 2. Let u(g) = g**3 - 5*g**2 + 4*g - 5. Let s be u(4). Determine x(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1990.874*21\nAnswer: -41808.354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -527*y - 3. Let f be u(1). Let w = -346 - f. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 3, 7949, -8 in ascending order.\nAnswer: -8, 1\/3, 3, 7949","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120272.\nAnswer: 2, 7517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2 - 9*z - 190.\nAnswer: (z - 19)*(z + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*y - 3 = 31*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1129030600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8*3\/6 - 0. Suppose 2*t - 10 = -4*z + 2*z, -4*t = -4*z + 12. What is the greatest common divisor of h and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117 is divided by 25.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 u when three letters picked without replacement from {b: 6, u: 2, m: 2, a: 2, t: 3}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (sqrt(432) - sqrt(432)*2))**2 - (sqrt(432) - 2*sqrt(432)*6)) + 1.\nAnswer: 204*sqrt(3) + 442","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 323899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 4:56 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-292)\/146*(-6)\/28.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.1, -0.5, -4, 2, -2.2 in descending order.\nAnswer: 2, 1.1, -0.5, -2.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3648 = 279*u - 51*u for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 767657736 to the power of 1\/3, to the nearest integer?\nAnswer: 916","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 92*a + 281. What is g(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-171)\/(-513))\/(2\/(-18)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-86)\/22 - -4) + 52840\/44.\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 166 + -94. What is the highest common factor of l and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/16 + (-90)\/48)*-2. Let r(c) = -2*c. Let i(b) = 9*b. Determine q*i(f) + 21*r(f).\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 81003366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9747338?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -13 - 54b9b9?\nAnswer: -54b9cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5 + 0 - 3)*1. Let s be (-70)\/(-28) - 5\/w. Solve -2*l + 6*o - 19 = o, s = 5*l + o - 20 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i + 2. Let z(y) = -y**2 + 3*y. Let p be z(3). Suppose -5*b = -p*b. What is m(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(7\/8)\/x**(-13))\/(x**4\/x**(-25)))**(4\/27) assuming x is positive.\nAnswer: x**(-121\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 282.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = b + 6. Solve -b = -2*u - 2*z, -3 = u - 2*z - 1 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(3\/(-3))*3. Find the second derivative of 0*j + 0*j - 3*j - j**3 + 0*j**n wrt j.\nAnswer: -6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160 = -6*u - 2*u. Which is smaller: u or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 30, 39, 56, 87, 138?\nAnswer: 215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of -2*y**5\/15 + y**4\/8 - y**3 - 48*y**2. Let g be l(3). Let f = -65 - g. Solve 2*x - h - 2 = 0, -2*h - f = -0*h for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -43*w - 2. Let h(s) = -39*s - 2. What is -3*h(l) + 4*t(l)?\nAnswer: -55*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 21.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + (2 - -2) + 13. Suppose -10 = -16*c + k*c. Suppose 2*v + c*j + 145 = 5*v, 0 = 2*v + 3*j - 84. What are the prime factors of v?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200121042 (base 5) to base 10.\nAnswer: 785772","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of -51*m - 1\/20*m**5 - 3*m**2 - 11\/12*m**4 + 11\/6*m**3 + 0. Calculate d(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**2 - 2*h**2 - 5 - h - 2*h + 2 to the form p*h**2 + l*h + z and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/3)\/(4\/18). Suppose l*g + g = -3*q + 20, -4*g = -2*q. Let y be -5 - -2 - (-45)\/5. What is the greatest common factor of g and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -191*j**3 - 12027 + 12027.\nAnswer: -191*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 12 + 0 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3910 = 4*n + 13*n. What is the highest common divisor of n and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 7) to base 6\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 95*z - 3036. What is d(32)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 7553, 7552, 7551, 7550, 7549, 7548?\n\"Answer: -l + 7554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -730 + 736 = -6*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -20, 2, -4, 0, 316, 4 in decreasing order.\nAnswer: 316, 5, 4, 2, 0, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12.93 and -5?\nAnswer: -64.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.43*10313.1.\nAnswer: 14747.733","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - -15374?\nAnswer: 15376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) 0.11 (c) 2\/17 (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 8095673 + -2530.6\nAnswer: 8093142.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*c = 30*c - 70. Suppose i + 6*h - 1 = 4*h, -5*h - c = -3*i. Solve i*m - 16 = -5*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1350)\/(-63))\/15 + (-1248)\/952.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h + 1. Let p be g(5). Suppose -p = t - 2. Let n = 18 + t. Is 3 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jvai when four letters picked without replacement from {v: 2, j: 1, a: 1, i: 2, q: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + (sqrt(76) - (sqrt(76) + (2*sqrt(76) - sqrt(76) - sqrt(76))*5 - sqrt(76))))\/(1*sqrt(36)).\nAnswer: 2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0767072223 rounded to five decimal places?\nAnswer: -0.07671","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-45)\/(-216))\/((27\/9)\/90).\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 414443 - -2241?\nAnswer: 422234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of 2 - 82\/3*t**3 + 2*t**2 - 10*t. Let s be f(7). What is s rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 504, 2, 5 in decreasing order.\nAnswer: 504, 5, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/(-6))\/((-20)\/(-570)). Let g = -10 - y. Let x = 19 - g. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = -9, -20*y - 24*y - 4*d + 2*d + 70 = -40*y for y.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 + 42 + (-1 - -6) - (-36 + 38)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80419 is divided by 3093.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3\/5 (b) 4\/7 (c) -103 (d) -2 (e) 0.2 (f) 18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13398 by 77.\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 + 2*w + 1. Let s be y(-3). Let k be (s - 1) + (-1 - -3). Which is greater: 4 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, -1\/5, 2\/7, -253, 1, -2 in decreasing order.\nAnswer: 20, 1, 2\/7, -1\/5, -2, -253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4722.955km to micrometers.\nAnswer: 4722955000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**5 + i**4 - 104*i**3 + 80*i**2 + 2816*i - 7168.\nAnswer: (i - 7)*(i - 4)**2*(i + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001011100101110 - -111001000?\nAnswer: 11001100011110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1200 and 696.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 28. Is x equal to 18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i**5\/5 + 18*i**4\/5 - 216*i**3\/5 + 162*i**2\/5 + 1701*i\/5 - 2916\/5 = 0 for i.\nAnswer: -12, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 3*z. Let u(w) = 11*w**2 - 8*w - 101. Let q(c) = -15*c**2 + 11*c + 135. Let v(p) = -8*q(p) - 11*u(p). Calculate d(v(x)).\nAnswer: -3*x**2 + 93","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1112430.\nAnswer: 2, 3, 5, 11, 3371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.14 and -4120.4.\nAnswer: 576.856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 344?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 - -18 - 11) + (-8 - -1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 90470?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of -b**9\/181440 - b**8\/20160 - b**7\/7560 - b**5\/30 - 2*b**2. Let k(s) be the third derivative of q(s). Factor k(t).\nAnswer: -t*(t + 1)*(t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 413542569?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 + 30*p**2 - 71*p + 18. Let l be d(-32). Solve -8*i = -210 + l for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 162132 divided by -3.\nAnswer: -54044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - 4*w**2 - 10*w + 51. Calculate o(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(1300) - (sqrt(1300)*-2 + sqrt(1300) + 3)) + 1*(sqrt(1300) + 2) - (-5 + -2*sqrt(1300)*4 + sqrt(1300)))**2*-6.\nAnswer: 9600*sqrt(13) + 1560192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.12 - -0.12. Let v = 21 - 29. Sort -1, v, h in decreasing order.\nAnswer: h, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 205869 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: Rearrange 2*p + p - 2*p + (-2 + 3 + 1)*(2*p - 3 + 3) + 3*p - 9*p - 36*p to x + w*p and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v\/(v*v*v**(-2\/7)*v))\/v*v*v)\/v)**(-1\/3)\/(((v*v**(3\/11))\/v)\/v**(-1\/4)) assuming v is positive.\nAnswer: v**(-263\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/5 of a century?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1)*z)\/z)**(-36)*z\/z**(-2\/29)*z**(-1\/9) assuming z is positive.\nAnswer: z**(9646\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 10, 23, 34, 37, 26, -5?\n\"Answer: -m**3 + 5*m**2 + 5*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -191133, -382234, -573335, -764436, -955537, -1146638?\nAnswer: -1337739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/28 and (2*(-54)\/80)\/(3\/(-22)).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b - 2*b - 2*b)*(-1 + 2 + 0) + 77 - 33 - 2*b - 39.\nAnswer: -3*b + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 502 is divided by 40.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**2 + k**2 + 2*k**2)*(0 + 0 - k**3) + 86*k**5 + 13*k**5 + 28*k**5.\nAnswer: 126*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*11*(2 + 3 + -7). Is 22 at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 205328410 and 117330520.\nAnswer: 821313640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 468 = 8*v. Let i be (v\/42)\/(-3) + (-17)\/(-14). What is the nearest to 3 in 3\/7, i, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 582567949?\nAnswer: 19, 30661471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 45\/12 - 6\/8. What is k in -7*k + 35*k**2 + 5*k**f - 6*k + 13*k - 5*k - 35 = 0?\nAnswer: -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -3. Suppose 5*c = -3*h + 21, 3 = 4*c - 9. Solve h*q - 8 = 0, 3*r - i*r - 4 = -q for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of -5*m + 0 + 1\/8*m**4 - 5\/2*m**2 + 1\/3*m**3. Let d(a) be the first derivative of u(a). Differentiate d(v) wrt v.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of -t**7\/105 - t**6\/20 - t**5\/15 - 3*t**2 + 5. Let m(f) be the second derivative of s(f). Factor m(y).\nAnswer: -2*y**2*(y + 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b130 (base 13) to base 2\nAnswer: 101111100110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -3, -135, -5, 95 in decreasing order.\nAnswer: 95, 2, -3, -4, -5, -135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*16244\/8246 + (-4)\/19.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -71 bigger than 188792?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 3 + 1 - 12\/15?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 6209310789?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lj when two letters picked without replacement from oxltltj?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 93416?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 + 15611?\nAnswer: 15603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 74291891 to the nearest integer?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26.942 - 27. Let i = -2.758 - q. Let c = i + 2.700008. What is c rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 406343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2 + 3)*-2)\/(-2). Put -5, v, 4 in descending order.\nAnswer: 4, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(275)*5*-4.\nAnswer: 300*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by 18?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of -p**2\/2 - p - 2. Let b(j) = -3*j**2 - 16*j - 1. Let l(z) = -b(z) + 6*c(z). Is l(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-222)\/(-8) + (-2)\/(-8). Let h be 1 + -2 - (o - 2). Let b = 150359 + -150358. What is the closest to -1 in 2\/5, h, b?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6 + 1 + 1 + -1. Suppose b = v + o, 2*b - v - 19 = -3*b. Find the second derivative of m**3 + 21 + m**b - 21 + 4*m wrt m.\nAnswer: 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 277197\/20 - 13854. Let g = -9109\/2398 - 126\/109. Find the common denominator of g and p.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*j + j - 2*j + (0*j + 5*j - 3*j)*(6 - 1 - 3))*(-6*j - 66*j - 67*j) in the form a*j**2 + x + c*j and give a.\nAnswer: -417","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 (base 10) in base 13?\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 - 2 - 2*j - j - 3*j. Calculate k(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l\/(l*l**(-3\/10)))*l*l**4\/l*l**4\/l**(-1) assuming l is positive.\nAnswer: l**(97\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/((-1)\/(-308)))\/((-107)\/(9202\/(-344)))?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/7 in 1, 0.2, 5, -164?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2946 and 881037634.\nAnswer: 982","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-4)*((-108220)\/91 + -6). Let v = d + 561097\/936. What is the common denominator of -25\/88 and v?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dll when three letters picked without replacement from dldo.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**5 - 11*f**4 + 8*f**3 + 20*f**2.\nAnswer: f**2*(f - 10)*(f - 2)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5\/8 (b) 0.01 (c) 79\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 6) to base 10.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -252 + 156?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 3207544?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 15341*l**3 + 18*l**2 + 79*l - 10. Let h be r(-10). What is h rounded to the nearest 1000000?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21.3 + 21.3091. Round o to 3 decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1018 is divided by 476.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -3*i - 5. Let a be k(-3). Suppose a*q = 4 - 0, -3*x + 14638 = 4*q. What is the tens digit of x\/21 - 1\/14*4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -566, -559, -542, -515, -478, -431, -374?\n\"Answer: 5*u**2 - 8*u - 563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1701 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 180898 - 84329. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 5*c**3 + 3*c**2 - 15*c + 496. Let l(v) = v**3 + v**2 - 4*v - 1. What is 3*l(s) - r(s)?\nAnswer: -2*s**3 + 3*s - 499","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**2 - 32*d + 24. Let g(n) = 11*n + 301. Let c be g(-26). What is r(c)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 857795 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 1\/3 (b) -2 (c) -3.6 (d) -1 (e) -2.175\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43498, -86997, -130496, -173995, -217494?\nAnswer: -260993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3*y - y + 2*y)*(-1 - 3 + 1)*(-3 - 9 + 0) + 9*y - 6*y + 2*y)*(0 - 3 + 4)*(2 - 5 - 1) to the form r + c*y and give c.\nAnswer: 268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09161 rounded to 3 dps?\nAnswer: -0.092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 + 7\/(-2))*-14. Let q(t) = -4*t**3 + k - 14 + 7*t**2 - 5*t + 3*t**3. What is q(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-16)\/(-7) + 2\/(-7). Suppose -2*p = p - 12. Solve c*t + p = -4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.09377 + 0.19377. Which is smaller: 4.12 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.63 and 1.57.\nAnswer: 4.1291","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m. Let f(t) = -4*t - 27. Let d be f(-19). Let i = d - 47. Let o(l) = 10*l**i - 11*l**2 + 7*l**2. What is s(o(h))?\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 + -8)\/(-2 + 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3\/719 - -57975\/63272. What is the common denominator of -105\/22 and o?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 - 3*q - 3. Suppose 2*g = -4*o - 12, -2*g - 8 = g + 4*o. Suppose b + 5*w + 17 = 0, b + 2*w = -g*b + 7. What is n(b)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3180 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/9 - 8*o**2\/9 + 1744*o\/9 + 7040\/9.\nAnswer: -(o - 40)*(o + 4)*(o + 44)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 36052?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-78)\/(-52)*4*29\/(-1508).\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 217 (b) 5 (c) 0.66 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -12. Let a = 2 - l. Suppose 0 = a*j - 8*j - 9. Let v(t) = -t - 13. Let i(m) = -3. Determine j*i(q) + 2*v(q).\nAnswer: -2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 24 + 66. Calculate the remainder when z is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 365291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) + sqrt(1188)*-3)\/(-1*sqrt(108)) - (-3*sqrt(55)*3)\/(sqrt(5) + sqrt(720)*2).\nAnswer: 479*sqrt(11)\/150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 362 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28102*g**2 - 56204*g**2 + 28103*g**2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -310*x**3 - 22*x**2 - 11*x + 16. Let a(d) = 248*d**3 + 18*d**2 + 9*d - 13. Let w(r) = 11*a(r) + 9*y(r). Calculate w(1).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of -o**6\/30 + 14*o**5\/15 + o**4\/6 - 28*o**3\/3 + 9*o**2 - 3*o. Suppose b(y) = 0. What is y?\nAnswer: -1, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -12c0 - 786?\nAnswer: -1a66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -364, -368, -372?\n\"Answer: -4*c - 360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2149\/6393 - -6\/2131. Put -6, t, -0.3, 2, -0.091 in descending order.\nAnswer: 2, -0.091, -0.3, t, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 104\/5? (a) 0.1 (b) 5 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 7*u + 20 = 9*u, 5*u - 20 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1342 at least as big as -49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + z + 2*z = 4, -3*g + z + 8 = 0. Sort -4, -5, g, 6 in increasing order.\nAnswer: -5, -4, g, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -5889.6 and -11.\nAnswer: -5900.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*u + 2*u**3 - 2*u**2 + 3 - 4*u - 1 + 2*u**4 to the form r*u**4 + z*u + c + n*u**2 + h*u**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 7 - -5) + 2 + -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, -0.3, -98\/9, -109 in ascending order.\nAnswer: -109, -98\/9, -4\/7, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -678, -81\/5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 587413473?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s. Let l(c) be the second derivative of c**4\/2 + 5*c**3\/2 + 6*c - 13. Calculate 12*f(p) - l(p).\nAnswer: -6*p**2 - 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2\/11, -9 in decreasing order.\nAnswer: 2\/11, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 78 + -83. What is the fourth biggest value in -3, 0, f, 0.5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -63.306 - 0.094. Let o = u - -63. Suppose -2*h = -5*j + 2*h + 5, -4*j = -2*h - 10. Which is the closest to 0.1? (a) j (b) o (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5\/18*42\/70 + 118342\/84?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*r**4 + 7*r**4 + 7*r**4 + 2*r**3 - r**4 - r**4 + 4*r**4 + 0*r**4 + 2*r**4 + 0*r**4 + (-3*r**4 + 4*r**4 + r**4)*(-5 + 4 + 0) + 5*r**2 - 5*r**2 - r**4.\nAnswer: 27*r**4 + 2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/22 + 524\/22. Suppose f - p = -f. What is the remainder when ((-1)\/(-3))\/((-2)\/(-204)) is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4*r + 22 = 0, 0 = 722*q - 717*q - 2*r. Suppose -4*g + 4 = -8. Calculate the remainder when 16 is divided by -1*(q - 7) - g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ax when two letters picked without replacement from xbbxa.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) + (sqrt(72) - (-1 + sqrt(72) - sqrt(72))) + -1 + (sqrt(72) + -2*sqrt(72))*2 + sqrt(72) + sqrt(72))**2.\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*d**2 + 72*d - 38 - 22*d**2 + 27*d**2.\nAnswer: -d**2 + 72*d - 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 9) to base 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 151571 to the power of 1\/4, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -85 + 84.8. Let m = -2 - -3. Suppose 4*n + 8 = -2*j, -j = -2*n + n + m. Sort -5, y, n in ascending order.\nAnswer: -5, n, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2807696900 rounded to the nearest one million?\nAnswer: -2808000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 4*u**2 - 2. Suppose 3*r - p = r + 6, -3*r + p + 9 = 0. Suppose 0 + 2 = g - 2*h, -g - 3*h = r. Let a(x) = x**2 + 0*x**2 + x**2 + g*x**2. Give a(w(b)).\nAnswer: 32*b**4 - 32*b**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-72)\/(-210)*119\/34.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*l - 44 = 10*l. Put l, -13, -4 in decreasing order.\nAnswer: l, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 4 - 1. Let h(d) = -99*d + 1. Let i be h(x). What is i rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 114*x - 95*x + 57. Put -10, -1, x, 3 in decreasing order.\nAnswer: 3, -1, x, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-15)\/(-10)*(-4)\/3. Let t be d\/(-10) + (-4)\/20. Solve 3*r + 1 = f + 3, -3*r - f + 4 = t for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.08 + 0.32. Let m = 6 + -5.7. Which is the third smallest value? (a) i (b) m (c) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1488 a multiple of 160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 - 3*x**2 - 2. Let a = 101 + -99. Let h(r) = -87*r - 3 + 2*r**2 - 5*r**a + 88*r - r**3. What is 3*b(o) - 2*h(o)?\nAnswer: -o**3 - 3*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -8508, -8433, -8342, -8229, -8088, -7913, -7698?\n\"Answer: b**3 + 2*b**2 + 62*b - 8573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1817 - -7a4?\nAnswer: 21bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 15 = 3*k, 4*k - t = -3*t - 12 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2400, -2, -1 in decreasing order.\nAnswer: 2400, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -35*w**2 + 2805*w + 65340 = 0.\nAnswer: -132\/7, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-a - 2*a**2 + a)*(-6*a - a + 3*a) + 2*a**2 + 193 - 352 + a**3 - 303 to the form f*a**3 + o*a + r + p*a**2 and give f.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12150 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w. Let f(h) = 2*h + 2551. Calculate f(s(y)).\nAnswer: -4*y + 2551","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 159 + -631\/4. Let s = 0.3 - 0.4. What is the closest to s in m, 3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 13\/4 of a kilometer?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 143160 divided by 15\nAnswer: 9544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2255 and 11605.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 210736198?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*m = -209*m - 366, -7 = 2*c - 2*m - 11 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/13 - 172*b\/13 - 2134\/13.\nAnswer: 2*(b - 97)*(b + 11)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 5*m - 1972 + 1857 = 0, -28 = -2*r + m for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 + 42 = 10*c. Sort -12, -1, c in descending order.\nAnswer: c, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 1:56 PM?\nAnswer: 6:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.247 - -0.053. Let f be (-2)\/(-7)*(-14)\/(-18). Which is the third biggest value? (a) f (b) -3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*k + 41*k = -3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7101463.\nAnswer: 7101463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/o**(2\/15)*o)\/o**(1\/2)*(o*o**(2\/3)\/o*o)\/((o*o**(-2\/3))\/o) assuming o is positive.\nAnswer: o**(47\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 525\/(-25) - ((-27)\/(-216) + 2259\/(-24))\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -341.495 and 25.\nAnswer: -8537.375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89457.45 litres to millilitres.\nAnswer: 89457450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*t + 20 - 39 + 18 to k + i*t and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9420 divided by 1?\nAnswer: 9420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 24 = 3. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 419099 a multiple of 281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - -2a2?\nAnswer: 2a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 13 = 5*l, 6*l - 2*l + 1 = -3*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 603919 - 1207808 - 22*v**3 + 603889.\nAnswer: -22*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172*f - 456 = -196*f for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 6\/((900\/(-486))\/25*9)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(3\/2))\/((a\/(a\/a**(-6)))\/a*a))\/(a**2\/a**8)*(a**(2\/7)\/a*a**(-5\/4))\/(a\/(a*a**(-1)\/a))**(2\/39) assuming a is positive.\nAnswer: a**(10301\/1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13 + -112?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 12*l**3 - 564*l**2 + 2610*l - 3024. Let w(d) = 3*d**3 - 141*d**2 + 652*d - 756. Let t(n) = 2*g(n) - 9*w(n). Solve t(r) = 0 for r.\nAnswer: 2, 3, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24.12553 + -4.093.\nAnswer: 20.03253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + 21\/(-12))\/((-38)\/(-152))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 21, -34, 3, 4 in ascending order.\nAnswer: -34, 3, 4, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3943075 equal to 3943074?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1961529 is divided by 653823.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17031971 to the nearest integer?\nAnswer: 4127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -413 - -22154134?\nAnswer: 22153321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -4037492.\nAnswer: 403749.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -8*p - 4*p + 1 + 20*p - 2*p**3 - p + 5*p**2. Does 8 divide i(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 11. Let y be ((-2)\/1)\/(f - 4). Let g be -4 - y\/(4\/4). Sort g, 4, 3 in decreasing order.\nAnswer: 4, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -13621, -45740, -96361, -165484?\n\"Answer: -9251*y**2 - 4366*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -256 or -5392\/21?\nAnswer: -5392\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1607565 and 125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2 + -4 + (-3 + sqrt(153))**2*5 + -1.\nAnswer: -90*sqrt(17) + 810","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 2*k**4\/7 - 228*k**3\/7 - 5984*k**2\/7 = 0.\nAnswer: -22, 0, 136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 7:30 AM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 - (-11 - ((5 - (1 - 1)) + 843 + -864))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, 0, -4, 3\/5, 3230?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3\/11 (b) -1\/3 (c) 5 (d) 0.13 (e) -0.2 (f) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71, -70, -69, -68?\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 - 43*x - 166. Calculate o(42).\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.8 - -2. Let q be (2 + -29*3\/45)*5. Let k be -5*(-1 - 9\/(-6)). Sort w, k, q in increasing order.\nAnswer: k, w, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -34*i - 381. What is a(-11)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 1 - 1 + (-1 + 1 - 2*h)*(-2 + 3 + 0) + h - h + h)*(-7*h - 5*h - h).\nAnswer: 39*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r**5\/5 + 54*r**4\/5 + 294*r**3\/5 + 588*r**2\/5 + 99*r + 30 = 0 for r.\nAnswer: -10, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 30 = 86. Let c be (-2 - -6)*t\/14. Sort c, 2, 0 in descending order.\nAnswer: c, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*((b*b\/b**(1\/2))\/b)\/b*b*b\/(b**7*b)*b)\/(b**(-9)*((b*b*(b\/(b**(-18)*b))\/b)\/b)\/b) assuming b is positive.\nAnswer: b**(-25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 2*f - 34. Which is greater: f or 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 AM and 11:58 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 90 and 1152?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33 + -30. Solve 2*j = -5*d, -18 = 4*d - r*j + j for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 29\/2 - 8 - (-6)\/(-4). Suppose 5*z - r = 4*z, -q + 4*z + 64 = 0. Is q a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16490508911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -141, -487, -831, -1173, -1513, -1851, -2187?\nAnswer: -2521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c. Let a(n) = 6*n**2 - 4*n + 4. Suppose 4*l = 5*l - 11. Let r(j) = 7 + l*j**2 + 0*j - 4*j - 3*j. Let f(x) = -7*a(x) + 4*r(x). Calculate f(h(i)).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4927 and 4303?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 184934352?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -990\/1153 greater than or equal to -107?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in four sevenths of a week?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2285*r**2 - 6*r - 2012. Let m(c) = -6855*c**2 + 17*c + 6038. Let u(a) = 17*l(a) + 6*m(a). Find the first derivative of u(i) wrt i.\nAnswer: -4570*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by 41?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57957229*a + 57957229*a + 12*a**3.\nAnswer: 12*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*s - 4*s + 0*s - s as u + m*s and give m.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 8) in base 9?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (0 + (sqrt(5) - sqrt(35)\/(sqrt(7)*2) - (sqrt(880) + sqrt(55))\/sqrt(11))*4)*-4)**2*5*4.\nAnswer: -5760*sqrt(5) + 518480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -1, 5.\nAnswer: -16, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 5*d**2 + 426*d + 909. Let n be c(-83). Let l(v) be the third derivative of v**5\/30 + v**4\/24 - v**3\/2 + v**2. Calculate l(n).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-10) + (-21 - 936\/(-120))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = 28 - 1 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 313\/5 - 63. What is the nearest to t in 6, -0.5, 2\/17?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 4) to base 3\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 + 11*g + 12. Let k be i(-10). Suppose 2*n = v - 11, -4*v - k*n = n. Calculate the remainder when 6 is divided by v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1196\/2807 + 1\/401. What is the nearest to -1 in -2\/11, i, -4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -1295 + 5725. Suppose z = p + 148, -5*z + 2*p + t - 131 = 0. What is the highest common factor of 17 and z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*c**5 - 3*c**5 + 6*c**5 + (0*c + 2*c - 7*c)*(2*c**4 - 2*c + 2*c).\nAnswer: -11*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (252\/(-486) + 0)*3?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -18\/13, 1, -4, 0.\nAnswer: -4, -18\/13, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -21 and -2254?\nAnswer: 2233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000172941524 to 7 decimal places.\nAnswer: -0.0000173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 366384 and 1088.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 29835629 to the power of 1\/5, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h + 13. Let c be d(-6). Suppose 3*q - 4 = 4*o, 10*o - c*o + q = 10. Suppose 0 = 3*p - o*p. Solve p = -0*j - 2*j - 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.05 + 1.95. What is the biggest value in -3, 4, g?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 99 and 495.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/sqrt(80)*6 + -4 + -3 + (-1 + sqrt(300) + sqrt(3) - -4*sqrt(9)\/sqrt(3) - (-1*sqrt(147)*4)**2).\nAnswer: -2360 + 33*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (66\/(-330))\/((24\/10)\/(-3)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50157 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (365 - 430 - 220)*(4*n + 2*n + 0*n).\nAnswer: -1710*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 252980 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(308)*2)\/sqrt(7))\/(-2*sqrt(100) - sqrt(100)))**2 + 5*((-5*sqrt(275))**2 + -3).\nAnswer: 7731044\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2*-1*2*(-7)\/(-70)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b + 9*b**2 - 12 - b + 3*b - b**3. Suppose -2*v = -5*k - 38, -12 = 3*v - 50*k + 54*k. List the prime factors of r(v).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hdhm. Give prob of sequence mdh.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 3*s + 42 = 0, 2*q - 8*s = -13*s + 23. Suppose 3*z = 14*y - q*y - 13, -2*z - 11 = -y. Does z = -47\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 24402836?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - i**2 - 8*i + 1. Let j(m) = 7*m**3 + 9*m**2 + 77*m - 36. Give -9*b(t) - j(t).\nAnswer: 2*t**3 - 5*t + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*m - 110. Let u = -4 + m. Does 15 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*i + 2*x, 0*i - 2*x = 5*i - 21. Suppose y - i = 1. What is the least common multiple of y and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11 + -3?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 w when three letters picked without replacement from {n: 3, w: 1, h: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16\/3 + -46\/9. What is the second biggest value in -1\/4, v, -45?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11128 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 6*u - 25 = 0. Suppose -12 = -u*l + 2*v, 0*v + 1 = l + v. Suppose 74 + 84 = l*r. What are the prime factors of r?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 - 1 - (-564700)\/(-79058)\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -696 - -698. Which is smaller: 3 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of w**5\/45 - w**4\/12 - 5*w**3\/27 + w**2\/6 + 4*w\/9 + 91. Factor x(d).\nAnswer: (d - 4)*(d - 1)*(d + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35775639.\nAnswer: 3, 409, 9719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*g + 3. Calculate the lowest common multiple of 28 and g.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*o + o. Let f(d) = -o*d - 4*d - d**3 + 6*d**2 + 2 + 5*d. What are the prime factors of f(5)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8820*z**2 - 9267*z**2 + 17390*z**2)*(2*z + 0 + 0).\nAnswer: -1394*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2523329327?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-3)*b*b**2*b)\/((b\/b**1)\/b)**(2\/17) assuming b is positive.\nAnswer: b**(36\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -3)\/((-51)\/(64260\/(-120))).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -350621 + 350462.073. Let f = 159 + b. What is f rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 + 5*q**2 + 6*q - 4. Let j be s(5). Let u = j + 16. Let l = u + -29. What are the prime factors of l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 7*y**2 - 245*y + 1731. What is n(25)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1519 + 0.8481. Which is the nearest to t? (a) 5 (b) 0 (c) 0.5 (d) 150\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -1. Let s = -2422 + 2436. Suppose 5*o - 3*i - 64 = -0*i, 4*o + i = 41. Solve -s = y*f + o for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 7*r - 5. Let z(l) = -4*l + 3. Determine -6*n(o) - 11*z(o).\nAnswer: 2*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -305, -2825, -9721, -23183, -45401?\n\"Answer: -365*k**3 + 2*k**2 + 29*k + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ygoq when four letters picked without replacement from {a: 3, g: 1, y: 3, z: 1, q: 2, o: 2}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/2)\/k)**44)**(-1\/9)*(k\/((k\/k**(-1))\/k*k))\/k*k*k**(3\/8)\/k*k**(5\/4)\/k*k**(-8) assuming k is positive.\nAnswer: k**(-49\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47876061 is divided by 106.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 5:57 AM?\nAnswer: 11:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/35)\/(-1*2).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0818 + 418.9182. Let g = 421 - q. Is g at most 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.1 * -1.\nAnswer: -3.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, i: 2, o: 8}. Give prob of picking 1 o and 1 w.\nAnswer: 32\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 1)*(-2*a - 2*a + 3*a) + (2 + 15 + 0)*(a - a - a) - 6 + 6 + a + (2 - 2 + 2)*(2*a - 4 + 4) + 1 - a - 1 - 4 + 4 + 2*a + a - 3 + 3.\nAnswer: -12*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5031085.\nAnswer: 5, 1006217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -46 + 41. Let m = -3 - s. What is the second biggest value in 12, m, -0.4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*b, 5*b - 51 = -3*q - 11. Suppose -2*v - q*w = -15, 8 = -3*v + 5*w + 18. Find u, given that v*u**3 - 8*u**2 - 3*u - u**2 - 2*u**3 + 9 + 0 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/3*((-32)\/(-4))\/(146\/(-219))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -a - 2*a. Suppose a*p - 35 = p. Solve 2*t + 3 = -p for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*k - 57 = -5 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q**2 - 24*q + 5. Let x be u(-13). Are -21 and x unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000321781006 to 7 dps.\nAnswer: 0.0000322","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*-4*18\/(-48). Find the third derivative of -c + 42*c**t - 4*c + 20*c**3 - 3*c**2 + 16*c**3 wrt c.\nAnswer: 468","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 8.1. What is the nearest to 2 in 5, -1\/4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16\/5*r**4 - 36\/5*r - 4\/5*r**5 + 8\/5*r**3 + 0 - 48\/5*r**2 = 0. What is r?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - 12*j**2 - 2*j - 19. Calculate t(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f**3 + 13*f**2 + 26*f - 11. Let g be w(8). Let p = 22 - 27. Suppose -2*y = -7*y - 20. Sort y, 0, g, p.\nAnswer: p, y, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137514656 to the power of 1\/2, to the nearest integer?\nAnswer: 11727","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14956 is divided by 481?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*k + 0*k - 2*k**2)*(-242*k + 1809 - 1809)*(-13*k + 2 - 2) to the form h*k**4 + j*k**3 + t + g*k + y*k**2 and give h.\nAnswer: -6292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23 + 39. What is the smallest common multiple of q and 6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/385 and (-184*23\/9660)\/(2\/3).\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*t**5 - 67*t**4 - 4*t**3 + 39756*t**2 wrt t?\nAnswer: 180*t**2 - 1608*t - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 55 - 43.2. Let s = b - 10.648. Let g = s + -0.99. What is g rounded to 2 dps?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 944315.\nAnswer: 5, 188863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9208368 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ulcbl. What is prob of picking 1 l and 1 u?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -132333243 (base 5) to base 9\nAnswer: -1227224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + -2*((1 + sqrt(2) - sqrt(2))*1)**2)*-3 + -3)*2*6.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zjf when three letters picked without replacement from zgjbjygfgjgbg.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 247, 531, 853, 1213, 1611, 2047?\n\"Answer: 19*f**2 + 227*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -888 divided by 111.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -360*o - 200*o + 0 + 0.\nAnswer: -560*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*c)*(2 - 4 + 3) + 244961*c - 2890 - 122478*c - 122479*c.\nAnswer: 2*c - 2890","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of d**4 - 50112*d**3 - 6670 wrt d.\nAnswer: 4*d**3 - 150336*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 205*b - 1467. Calculate m(7).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 476 + -471. Solve -r - z = 1, g*r = -z + 22 - 15 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -50 + 50. Which is the biggest value? (a) 27 (b) -0.3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 518*f + 360 = 530*f. Sort f, 29, -4.\nAnswer: -4, 29, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -271322 - 1?\nAnswer: -271323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 2:46 PM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fos when three letters picked without replacement from {n: 1, s: 1, f: 1, a: 1, o: 2, g: 3}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2508 and 836.\nAnswer: 2508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -2. Sort v, 4, -5.\nAnswer: -5, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -422*q - 418*q - 365*q + 2035*q - 414*q - 416*q + 27*q**2.\nAnswer: 27*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**7)\/(n*n*n**13*n))\/((n*n**(8\/5))\/n**(-13)) assuming n is positive.\nAnswer: n**(-188\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (z - 2*z + 0*z)*(-2*z - z + 4*z) + 3 - 2 + 4*z**2 - z - 2 as i + o*z**2 + k*z and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.11? (a) -24 (b) -2 (c) 4 (d) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-5850)\/20)\/(-15))\/((-45)\/60)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1401821?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(1\/2)\/((b**(9\/2)\/b)\/b) assuming b is positive.\nAnswer: b**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 397 = 85*n + 1757 for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 PM and 1:04 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80, 519, 1702, 4001, 7788, 13435, 21314, 31797?\nAnswer: 45256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4443 + -2885. Suppose d - 4*b + k = 3*d, 3889 = 5*d + 4*b. List the prime factors of d.\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(-13\/5))\/n**(-2\/87))**(-49))**(-5\/3) assuming n is positive.\nAnswer: n**(-33614\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 + 3 - 8*i - 15 - 43*i**2 + 47*i**2. Let a be u(-5). Solve 0 = -4*j + v + 3*v - 28, -a*j + 5*v - 29 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 5*l + 173, 0 = 4*s + 22*l - 17*l - 219. Let y = 160 - s. What are the prime factors of y?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 5*u = -3*m - 28, 5*u + 10 = 0. Let h be (-19)\/15 - 4\/m. Let l be -1 + (-1 - 8\/(-3)). Which is the nearest to -1? (a) -5 (b) l (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -r**2 - 6*r - 179. Determine p(-11).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-28)\/8)\/(-7))\/((-9)\/36).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 3816\/7*a - 432\/7 - 5043\/7*a**4 + 13038\/7*a**3 - 11379\/7*a**2 = 0.\nAnswer: 12\/41, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 740337 is divided by 81?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8070, -8063, -8056?\nAnswer: -8049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**2 - 3*b**4 + 5*b**2 + 4*b**4)*(-7*b - 3 + 3).\nAnswer: -7*b**5 - 14*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of -g**6\/60 + g**4\/8 - 3*g**3\/2 - 17*g**2. Let r(z) = -z**3 + z - 4. Determine 4*k(j) - 9*r(j).\nAnswer: j**3 + 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(21\/56) + 68\/9. Which is the closest to 1? (a) -1 (b) -1\/10 (c) -1\/6 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2790815\/114 + 0 + (-2)\/(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 2*d - 30. Let o be (6\/4)\/(-21*d\/(-420)). Solve -o = -4*x + 11 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 + 23*q + 46. Suppose 0*h + 15 = 5*h, 2*f + 4*h = 54. List the prime factors of t(f).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c**3 + 34*c**2 - c + 23. Give i(17).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1989? (a) -3 (b) -1\/5 (c) 3 (d) 1\/4 (e) 7\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 AM and 11:46 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -37 - -39. Solve -2*i - 3*w + z - 9 = 0, 17 = 5*i - 4*w for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(25)\/sqrt(5) + sqrt(5))*5 - sqrt(5) - sqrt(5)) + 4 - sqrt(45)\/(sqrt(441) + sqrt(441)*2))**2.\nAnswer: 1336*sqrt(5)\/21 + 146501\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {d: 2, t: 3, u: 5, w: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*d - 2*d - d)*(-2*d**4 + 0*d**4 + d**4) + 14*d**5 + 294*d**2 - 294*d**2 + (2 - 2 - 3*d)*(-2*d**4 + 4*d**2 - 4*d**2).\nAnswer: 17*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 5*r + j - 12166, r - 2450 = -5*j. Suppose -a = -5, 15*f - 20*f = a - r. Round f to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 5*d - 4 = 0, 0 = 4*b - 2*d - 2*d - 8. Let x(y) = 23*y**2 + b*y + 17*y**2 - 35*y**2. Let j(f) = -16*f**2 - 7*f. Give 2*j(i) + 7*x(i).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.121506 to two dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a*k - 2812814*a - 24089315*k with respect to a.\nAnswer: 2*k - 2812814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -bb07 - 5432?\nAnswer: -15339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 50374.\nAnswer: -3\/50374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**13*r**40*r)\/(r**(-7)\/r)**(-28) assuming r is positive.\nAnswer: r**(-170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one halves of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -334, -324, -308, -286, -258, -224?\nAnswer: -184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 + -21. Is k a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2062)\/26806)\/((-2)\/(-4))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000005863122844 to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 112, 289, 524, 817, 1168, 1577?\n\"Answer: 29*l**2 + 90*l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1980 = 719*s - 224*s. Which is the nearest to 2? (a) 4\/5 (b) s (c) -6\/11 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -21*z + 5. Suppose -10*d + 163 - 113 = 0. Let l(g) = -10*g + 2. What is d*l(b) - 2*m(b)?\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + a**2 - 5*a**2 - 5*a**3 - 4 + 0*a**2 as d + q*a**3 + i*a**2 + n*a and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/5 of a micrometer in nanometers?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/459275 and 71\/45?\nAnswer: 4133475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a*(a*a**(-2\/73))\/a*a*a))**(1\/21)*(a**(-39)*a)\/a*a*(a*(a\/(a*a**(-39)))\/a*a)\/a*a assuming a is positive.\nAnswer: a**(407\/219)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 - d**2 - 6*d + 5. Let m be v(2). Let i be m - (-272)\/(-4)*-1. Suppose 2*w = w - 3*u + 69, -i = -w - 2*u. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x - 4. Suppose -18 = m + 4*q, -q + 1 = 4*m - 2. Let r(j) = j**3 + 2*j - 1 - 3*j - 7*j**2 + 0*j + m*j. Let c be r(7). What is i(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -276 - -285. Let t(b) = -16014 + n*b + 16014. Let d(o) be the third derivative of o**5\/60 - o**2. Give d(t(j)).\nAnswer: 81*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three fifths of a day in minutes?\nAnswer: 15264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -140, -135, -120, -89, -36?\n\"Answer: r**3 - r**2 + r - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k - 18. Let t(b) = 6. Let s(j) = -2*g(j) - 7*t(j). Let i = -7 + 12. Let y be s(i). Solve z + 4*n = 13, 5*z = y*z - 2*n + 9 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1568551?\nAnswer: 73, 21487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -250 and 0.1719034?\nAnswer: -42.97585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 3:50 AM?\nAnswer: 2:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.266 + 0.25. Let u = -0.0159948 - b. What is u rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -1.8 (c) 5 (d) -3 (e) -0.1 (f) 0.27\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -223333 + 4?\nAnswer: -223324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from nnnnnnnnnwnnwnqqwnq?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*m + 4*m. Suppose m*i = -i + 36. Suppose -4*d = -7*d + i. Solve -d*p - 25 = -8*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 + n**2 - n + 20. Let r be f(0). Suppose 0*o + 5*o = r. Suppose 25 = -5*w, -u + o*w + 27 = -9. Calculate the highest common factor of 16 and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -10 + 3*p + 10. Let l(o) = 2*o. Determine x(l(v)).\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1212 (base 7) to base 13\nAnswer: -288","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002428512826 rounded to five dps?\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -37758056 divided by 1020488\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 122 = -2*r, -4*s = -9*s - 3*r + 216. Let x = 53 - s. Is x even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 41994.6 and 371503.4.\nAnswer: 413498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hj when two letters picked without replacement from qhjmewhqe.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -21296, -21207, -21118, -21029?\n\"Answer: 89*a - 21385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -5*i + 60, 4*h + i - 92 = -29. Suppose -3*j - h*j = -10332. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*m + 352 = -m. What is the third smallest value in -0.03, 11\/5, m, -5, 6?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - 1102012201?\nAnswer: -1102012120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/7497 and -6\/4165.\nAnswer: 37485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 147 + -144. Solve -4*l + 20 = -u - u, u = h*l - 15 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of j**3\/3 - 3*j + 2. Let y(i) be the first derivative of l(i). Calculate y(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15 * 0.08.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 502 - 222. Let p = t - 290.92. Let o = p + -0.08. Which is greater: -0.1 or o?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 901*r**2 + 1758 - 901*r**2 + 185*r**3 with respect to r.\nAnswer: 555*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35 + -7. Suppose -19 = -w - 2*c - 2*c, 4*w = -4*c + q. What is the lowest common multiple of w and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36397 - 37455 = 23*m for m.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -74 - 1087671?\nAnswer: -1087745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -q + 14, n + 2*n - 11 = -q. Suppose 13 = q*l + 5. Solve 0 = 4*v - 3*v - l for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 121733\/5830 + 381\/265. Let n = u + -1717\/55. Let x = -493\/2 + 242. Find the common denominator of n and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 298692 is divided by 4621?\nAnswer: 2948","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 - 0. Let x be 8\/6 + -2 - 0\/(-82). What is the second smallest value in x, h, 0.3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 559 (b) 2 (c) 0 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-58)\/(-10) - 7\/(-35). What is the greatest common factor of g and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 860, 3428, 7706, 13694, 21392?\nAnswer: 30800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 13. List the prime factors of ((-100)\/15)\/(u\/3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 - -18. Let i(o) be the third derivative of 0 + 1\/120*o**6 + 0*o**3 - o**2 + s*o**5 + 0*o + 1\/24*o**4. What is the second derivative of i(g) wrt g?\nAnswer: 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 17*g**3 - 10*g**2 - 25*g**3 - 2*g**4 - 2*g**4. Let z(k) = 8*k**4 + 16*k**3 + 21*k**2. Let s(d) = -13*o(d) - 6*z(d). Factor s(w).\nAnswer: 4*w**2*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8348 - 358966\/43. Sort l, -6\/5, 0.4, -0.04 in ascending order.\nAnswer: -6\/5, l, -0.04, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-16)\/(-10) + 26\/65. Let m(l) = 5*l**2 + 2*l - 3. Determine m(j).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1904437 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 4*k - 17 = 47, 20 = 5*k. Suppose -5*w + 4 = -f. Suppose -w*d + 0*d + 124 = 0. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -37.0267 from 4210634.\nAnswer: 4210671.0267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 273950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 46*s**3 - s**2 - 19*s. Let g(n) = -n**3. Let t(v) = 2*g(v) + h(v). Find the third derivative of t(c) wrt c.\nAnswer: 264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 4*p + 7. Let g be q(-2). Let i(u) = u**2 - 1. Let k(d) = -7*d**2 + 4. Let o(t) = g*k(t) - 4*i(t). Let m(y) = 10*y. Give o(m(j)).\nAnswer: 300*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/((-720)\/(-70))*8\/(-28). Put 25, r, -0.07, -1\/4 in descending order.\nAnswer: 25, -0.07, -1\/4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49007759 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = t. Which is bigger: -4\/11 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/4*(-16)\/(-36)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h**2 - 55*h + 32. Let o be c(-28). Let j be (4\/(-10))\/((-24)\/30). Sort o, j, 0 in decreasing order.\nAnswer: o, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (1 - (-2 - -8))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 4 + -1 - -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 259 + -104. What is the greatest common factor of v and 217?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 508?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 5*q**2 - 2*q - 6. Let i be x(-5). Which is smaller: 2 or i?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2340 is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 145291 less than -168599905?\nAnswer: -168745196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 6 + -10 + (-1 - -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-100)\/225 - (1\/(936\/(-5240)) - -5)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 2 + 38. Suppose 2*n + 4*u + 20 = 0, 4*n = 2*n - 2*u - r. Let 2*g**3 + 4\/3*g + 10\/3*g**2 + n = 0. What is g?\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4482, 4, -13 in descending order.\nAnswer: 4482, 4, 0, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 9:21 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k - 2. Let n be r(0). Let h be n + 3 + 5\/(-7). Let a = 606 - 611. What is the closest to -1\/5 in 4, a, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (-150)\/(-36))*-12.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 288 divided by 8.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -41, -4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/(i**(4\/3)*i))\/i*i*i*i**(-10))**(-1\/54) assuming i is positive.\nAnswer: i**(14\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of 251*i**4\/12 + 587*i. Let m(y) = y**2. What is k(m(j))?\nAnswer: 251*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1668789, 3337401, 5006013, 6674625?\n\"Answer: 1668612*d + 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 0*j = -6. What is the third derivative of 2*h**5 - j*h**5 - h**2 + h**6 wrt h?\nAnswer: 120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8034949.\nAnswer: 13, 751, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7941 is divided by 1587.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -52.01 plus 352011?\nAnswer: 351958.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 3.7, -0.5, -3, 1\/2 in decreasing order.\nAnswer: 3.7, 1\/2, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cpp when three letters picked without replacement from {q: 1, p: 8, c: 4}.\nAnswer: 56\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3\/116 + -449\/580. Which is greater: i or -0.102?\nAnswer: -0.102","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/13 at most as big as -1.003646?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*k + 86*k = 98 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55494?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - l + 2*l + 0 + (0 - 5 + 3)*(-2*l - 2*l + 3*l) + 3*l + 10*l - 19*l.\nAnswer: -3*l + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1366, 5464, 12294, 21850, 34126?\n\"Answer: -y**3 + 1372*y**2 - 11*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 + 26*i - 78. Give v(18).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 1. Let d be 1\/(-1 + 84\/81). Is (d - 1)\/(z\/1) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, -0.04, 1\/5, 5\/7, 15, -2\/13?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/(-4) - 2\/(-2). Let w = -4301\/375459 + 1\/5646. Let k = 191\/6650 - w. Is k greater than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -15*y - 59. Let v = -3836 - -3831. Determine g(v).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 0 + 7)*(3*c**3 - 4*c**3 - 2*c**3) - 3*c**3 + 4*c**3 - 4*c**3)*(-4 + 6 - 3 + c).\nAnswer: -27*c**4 + 27*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of -115*m**3\/6 + 3*m**2 + 5*m. Is k(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 28, -17, -4, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2732660 = 5*o + 24258420. Let l = -183565527\/34 - o. Let f = l + 770. Put -2, 4, f in decreasing order.\nAnswer: 4, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(65)\/sqrt(5))**2*3.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3125, -1156, 2119, 6700, 12587, 19780?\n\"Answer: 653*g**2 + 10*g - 3788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -1967036 + 16*y + 1967036. Let n(l) = -3*l**2 - 2*l. Calculate w(n(j)).\nAnswer: -48*j**2 - 32*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m*m\/(m\/(m\/((m*m*m\/(m*m\/(m**(-6\/7)\/m)))\/m*m))*m)*m)*m**(-5))\/((m*((m\/m**3)\/m)\/m*m)\/m**(-3\/2)) assuming m is positive.\nAnswer: m**(-103\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2 - 44396*p - 246375602.\nAnswer: -2*(p + 11099)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29 - -91. Is 31 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1456 = 13*u - 9*u. Suppose -6*t = -13*t + u. Differentiate 11*p + t*p - 94*p + 10 with respect to p.\nAnswer: -31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13699 and 13763375?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + 5. Let d = 8 - s. Are 3\/4 and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1031?\nAnswer: 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*q + 2*q**3 + 18 - 18 + 10*q.\nAnswer: 2*q**3 + 25*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m - 242762. Let c be l(0). Let v(w) = 4389*w**2 + 8*w - 3. Let q be v(5). Let g = c + q. Round g to the nearest 10000.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2*p + 3)*(-p**3 + 1 - 1) + 22*p**4 + 2*p**4 + 32*p**4 in the form j*p**3 + f*p**4 + i*p + k*p**2 + u and give f.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-6) + (-123)\/2. Let n = 94 + g. Suppose -5*f = -n + 12. Is f a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -864 - -906. What is the remainder when l is divided by 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 + 7 - (10 + -7 + -56).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3281 is divided by 236?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-1*sqrt(65)*2)\/(sqrt(5) - (-4*sqrt(20))\/sqrt(4)).\nAnswer: -2*sqrt(13)\/5 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-3 - (0 + -2)). Find the common denominator of -97\/18 and ((-276)\/126)\/(v\/(-3)).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a - 6. Let j(r) = 3*r**2 + 692*r + 39663. Let s(q) = -j(q) + 2*o(q). Suppose s(w) = 0. Calculate w.\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*x**2 - 2)*(-x**2 - x**2 - x**2 + x - 3*x**3).\nAnswer: -6*x**5 - 6*x**4 + 2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j - 2. Let z be a(-6). Let k be 1*34 - (-3 - -1). Suppose 3*w - 54 = -3*l, -2*w - k = -4*w - z*l. Calculate the smallest common multiple of 4 and w.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-46 - (-14)\/(-3 - 4) - -6)\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 0 - (-38 + 37)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -132.5517 + 120.561. Let j = 12.09 + -0.09. Let q = j + d. What is q rounded to 3 decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -474? (a) -49 (b) -679 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4\/1025 (b) -0.2 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + 2*c**2 + 2*c - 4. Let h be v(2). Suppose -4*x = -12, -4*r = x - h*x - 3. Find k such that 1\/2*k**4 + r - 7\/6*k**2 + 1\/3*k**3 + 1\/3*k = 0.\nAnswer: -2, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 810126 and -2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/r**31*r*((r\/r**7)\/r)\/r)\/(r*r*r**(-11)*r*r*r*r**(3\/14)))**(26\/7) assuming r is positive.\nAnswer: r**(-5499\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -102211200112 (base 3) to base 15\nAnswer: -490bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2149925506?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 24, 10, 2, 12, 52, 134?\n\"Answer: 2*r**3 - 9*r**2 - r + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rssr when four letters picked without replacement from rrrsrsrrrs?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence exzh when four letters picked without replacement from jxhjjjjxxjejhxzax.\nAnswer: 1\/5712","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3*z + 0*z - 3*z. Let n(y) be the third derivative of y**5\/5 + 8*y**2 + 235*y. Give k(n(o)).\nAnswer: -72*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f + 7. Let r be w(-3). Suppose -r*h = -u - 99, u = -4*h - 31 + 132. Does 22 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = c - 4*h, 2*c - 18*h = -14*h - 24. Let j be (-38)\/171*3\/c. What is the fourth smallest value in -2\/35, 0, 3, j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 321 (base 6) to base 16\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*y**5 - 118*y**4 + 157*y**3 - 53*y**2 - 13*y + 3 = 0. What is y?\nAnswer: -1\/4, 1\/6, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -1, -5, 2.\nAnswer: -22, -5, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u - 19. Let g be p(-12). Let b(j) = -69 + 30 - j + 33. Determine b(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 263 and 123.9.\nAnswer: 386.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 at least as big as -90\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -16*u**2 - 2196*u - 34311. Determine a(-18).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/w**(-2\/31)*w\/(w*w*w**(-1\/4)*w*w*w)*(w**(-24)\/w)\/(w**(-1\/39)\/w) assuming w is positive.\nAnswer: w**(-128927\/4836)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.13 (b) 5\/3 (c) 6 (d) -0.2 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 0*m = -23. Let q = 45 + m. Solve -i = -4*y - 17, -2*y - 4*i - q = -0*i for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 369720399?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 + 11*i - 15*i - 24*i - 25*i**2 - 12*i = 0. Calculate i.\nAnswer: -2, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4127.\nAnswer: 4127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (13 - -6182 - (-1 + -1))*1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 - 2*b**2 + 2*b**2)*(3*b**3 + 2*b**3 - 4*b**3) - 13*b**2 - 11*b**5 + 13*b**2.\nAnswer: -9*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2566 (base 13) to base 3\nAnswer: 21022011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 7, l: 7}. Give prob of sequence clc.\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6381766537 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3830, -3833, -3836, -3839, -3842, -3845?\nAnswer: -3848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 117 and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -732731.\nAnswer: -4\/732731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 522?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -12965\nAnswer: -5186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -164*c**3*n*x - 12929*c**3 - 20*c*n*x + 2*n with respect to x.\nAnswer: -164*c**3*n - 20*c*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -103 and 6788?\nAnswer: -699164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 11:05 AM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10.647 + 13.647. Which is the nearest to 0.4? (a) -0.2 (b) 22 (c) l (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 16) to base 9.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-3)*-17*(-39)\/(-6851)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175*b + 14064 = -187*b. Which is greater: -1173 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -70 - -69.9. Which is the nearest to n? (a) 4 (b) -0.5 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.7 - 4. Let j = -15.9 + 16. Let h = j - 1.1. What is the nearest to h in c, 0.3, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 12:12 PM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (72 + (-20 - 95) - -48) + 0 + -101?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -1578, 16, 50 in ascending order.\nAnswer: -1578, -7, 16, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 3, -6, -3 in descending order.\nAnswer: 8, 3, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.07 + 0.07. Let o = -0.222 - -0.222. What is the closest to 0.3 in -1\/13, o, j?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 91125 - 27099. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16722096 to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 3*i - 4. Let z be h(0). Let c be (-2)\/6 - (28\/(-3) - z). Solve 2*y + 3 = 2*f + y, 5*f - c*y = 20 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmkm when four letters picked without replacement from hkmhmmmjhmmmh.\nAnswer: 7\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -4*g - 15. Calculate s(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 117, 104, 91, 78, 65?\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 98? (a) -2\/7 (b) 1\/8 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 262*g. Let f(u) = 729*u. What is f(q(v))?\nAnswer: 190998*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-2*(sqrt(102)*2*6 + sqrt(102) - sqrt(102)))\/(sqrt(726) - -6*-2*sqrt(726)).\nAnswer: 24*sqrt(17)\/121 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*d + 18*d = -88 + 32. Calculate the remainder when 665 is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 PM and 2:55 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.18 - -0.31. Let h = s - -8.87. Let t = -14 + h. Which is the second smallest value? (a) t (b) 1\/5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 212355309?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of -g**9\/7560 - g**6\/720 - g**5\/5 - 12*g**2. Let t(h) be the third derivative of x(h). Let j be (2\/6)\/(1\/(-3)). Determine t(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**2\/5 - 24664*o\/5 - 38019556\/5.\nAnswer: -4*(o + 3083)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -5. Let s(x) = x + 6. Let p(m) = -6*q(m) - 5*s(m). Let h(k) = -4*k. Let o(a) = -6*h(a) + 4*p(a). Let w(y) = -7*y**2. Give o(w(i)).\nAnswer: -28*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64737 - 64740 - 31051*h + 129477.\nAnswer: -31051*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13917985973 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -56053.4 - -56053. Let c = 4 - 2.6. What is the closest to c in f, 0.1, -0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6528?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1771049, 14168436, 47818483, 113347520, 221381877, 382547884?\n\"Answer: 1771055*o**3 + 2*o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/6 and 29\/22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1701140 a multiple of 290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2072 and 32264.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1060171437?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of t**5\/10 + 3*t**4\/4 - 25*t**3\/6 + 9*t**2\/2 + 500. Factor k(x).\nAnswer: x*(x - 2)*(x - 1)*(x + 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68691 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: Is -28\/18164247 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l**2 - 230*l + 1701. Determine k(-122).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1610 - 2300. Round a to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88*0.0408.\nAnswer: 3.5904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(720) + sqrt(45))\/sqrt(9).\nAnswer: -5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2*o**4 + 2 + (o**2 + 5*o - 5*o)*(4*o - 4*o - o**2) - 8*o**2 + 5*o**4 + 2*o**4 + 9*o**2 to the form m*o**3 + p*o + q + f*o**4 + a*o**2 and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 40231 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 PM and 4:38 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 224 = -2*v, 2*l - 539 = -18*v + 23*v. Which is smaller: -105 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o + o + 7*o. Let r(c) = c - 2. Let y be r(3). Calculate s(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 - m + 1. Let u(z) = 15*z**2 + 91*z + 5. Let p be u(-6). Let j(t) = -5*t**2 - 4*t + 5. Give p*j(r) + 6*a(r).\nAnswer: -r**2 - 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-8)*(-2)\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*r - 102*r - 2*b + 4260 = 0, 2109 = r - 2*b. Solve r*n = 2121*n + 10 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -1. Suppose n - 3*n + 4 = h. Solve -4*s - n*q = -3*s - 1, 3*s + 3*q - 9 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/5, -0.5, 3, -1.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2950*c - 262553. Give o(-89).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20405 is divided by 1851.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25700343?\nAnswer: 3, 8566781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1316 = -5*r - 2*r. List the prime factors of r.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 457*g - 7. Let m be a(1). Suppose 0 = 5*j - 4*j - 3*t - 453, j = 4*t + m. What is the highest common factor of 21 and j?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1075033 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 142 - 137. Suppose -99 = 2*g - b*g. Is 4 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 194 + -117. What is the remainder when m is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (40\/(-6))\/(1\/6). Suppose 5*w = w - 112. Let v = w - r. Calculate the greatest common factor of v and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26 - -21. Let o be (1 + p)*105\/28. Let a = o + 17. Solve h - 3 = -a for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by -11898566\nAnswer: -4\/5949283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 488758091?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence io when two letters picked without replacement from oin.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -253 + 250. Which is the biggest value? (a) p (b) 0 (c) -2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1002, 1783, 2978, 4587, 6610?\n\"Answer: 207*i**2 + 160*i + 635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 4 = 4*m, 0 = 5*p - 2*m - 16. Let a = 283 - 103. Suppose -a = -k - p*k. Is k a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u - 4*u = d + 7, -4*d = -5*u + 17 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 907 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: How many months are there in 5\/6 of a century?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1227 and 69.\nAnswer: 28221","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -183048, -2\/25, 2\/17?\nAnswer: -183048","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3661.3 less than -676933?\nAnswer: -673271.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -5*p. Let n(y) = 335*y - 1399. Let l(o) = -42*o + 182. Let r(m) = -23*l(m) - 3*n(m). Determine r(h(x)).\nAnswer: 195*x + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 52, -116, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 12 = -2*f. Let q = f + 14. Let l be 45 + 1\/(-1) + q. Calculate the highest common factor of 23 and l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 7\/6 (b) -2\/13 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*k**3 + 16*k**3 + 22*k**3 - 23*k**3 + 10*k**3 + 5*k**3.\nAnswer: 51*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -32, -187, -458, -845, -1348, -1967?\n\"Answer: -58*z**2 + 19*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 878993749?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -1658*m - 111. Is z(-14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -1649*j**2 - 5*j + 3472. Let f(u) = -2467*u**2 - 8*u + 5208. Let a(d) = 5*f(d) - 8*z(d). Differentiate a(g) with respect to g.\nAnswer: 1714*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44101.\nAnswer: 44101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 128976763 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 + 8. Let z be f(0). Let g(x) = -z - 3*x + 3*x**2 + 3 + 4. Let v be g(4). What is the highest common divisor of 140 and v?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 237*p**2 - 3*p + 138. Let u(o) be the second derivative of -o**3\/2 + 19*o - 1. Let d(h) = -u(h) + v(h). Differentiate d(g) with respect to g.\nAnswer: 474*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 2 = 2*y, 5*y + 0*y - 5*j = -10 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-4\/17)*f**25\/f)**(4\/13) assuming f is positive.\nAnswer: f**(1616\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (33\/(-3) + 8)*8\/(-6). Let p(i) = 31 - 16 - q*i + i - 17. Let u(f) = 2*f. Determine p(u(n)).\nAnswer: -6*n - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -4*a**5 - 3*a**4 + 4*a**3 + 13*a**2 - 13. Let g(r) = r**5 + r**2 - 1. Let m(c) = 6*g(c) + 2*o(c). Solve m(b) = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + 1 + -7)*1. Suppose -2*l + 5*t + 18 = -0, -3*l + 3*t + 18 = 0. Which is the closest to -2\/7? (a) 1 (b) s (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 + -6)\/6*-3. Let i(y) be the first derivative of 12*y**2 + 2. Let f be i(s). What is the greatest common divisor of 8 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42) + sqrt(84)\/(sqrt(20)\/sqrt(10)))\/(sqrt(6) - (sqrt(72)*-2)\/sqrt(12)).\nAnswer: 2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + 3*l**2 - 4*l - 4. Let m be k(-3). Let v = m + -5. Suppose 9*y + 60 = 4*o + 6*y, -16 = 4*y. What is the smallest common multiple of v and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -297*o + 195 + 179 = -275*o for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 78 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -40\/23 at most as big as -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 361708926 and 1164.\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 652 - 640. Let l(c) = c**3 + 2*c**2 - 3*c + 2. Let j be l(-3). Factor u + 16*y**j + 18*y + 60*y**3 - 54*y - 4.\nAnswer: 4*(y + 1)*(3*y - 1)*(5*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 5*s**2 + 6*s + 2. Let q be p(6). Suppose -9 = 2*t - 0*a + 3*a, 2*t - q*a = 6. Is t equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/20210 and -69\/30100.\nAnswer: 1414700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -11ed (base 15) to base 14\nAnswer: -1571","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 446 - 49. Let g = 3577\/9 - q. Put -0.5, g, 0.1 in increasing order.\nAnswer: -0.5, 0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (336\/864)\/(882\/41958).\nAnswer: 37\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9086?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 16 + 16. Solve l = -5*q + 10 + 10 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51574 is divided by 1649?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/141387485 and -53\/16107435?\nAnswer: 1272487365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.4 - 8.4. Let p = -5.8 - k. Which is the biggest value? (a) p (b) 4\/5 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111249022463 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = t + 3. Let p = t + 4. Is p at most -3\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1123 + 1113.07. Let j = 0.07 - h. Let w = 9 - j. Put -0.2, w, 0.4 in decreasing order.\nAnswer: 0.4, -0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -60937\/12 - -5075. What is the common denominator of 51\/32 and o?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -92 and -654.\nAnswer: 60168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - 2) + (-199 - -194)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -17965*i + 53478. What is r(3)?\nAnswer: -417","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -18, -35, -44, -39, -14?\n\"Answer: x**3 - 2*x**2 - 18*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -3 (c) 2\/273\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131451 is divided by 4240.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 + -8 + 4 + 11729 + -4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 358 = -5*y - 37. Let v = 77 - y. Is v a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1952 divided by -4\nAnswer: 488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 69382922 to the nearest integer?\nAnswer: 8330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -668\/3, -0.3, -1, -0.2, 0.11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(19) - (((sqrt(133) - (sqrt(133) + sqrt(133) + sqrt(133)*-2 - sqrt(133) - sqrt(133)))\/sqrt(7) - sqrt(19)) + sqrt(19))).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 941\/51 + 62\/51. Find the common denominator of -61\/35 and x.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9107 + 18211 - 9104 - 588*i - 3*i**2 = 0. Calculate i.\nAnswer: -196, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*q + 52 = 5*b - 87*q - 18, 0 = 3*b - 87*q - 462 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -239, -298, -455, -758, -1255?\nAnswer: -1994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 a factor of 16876918?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y = 621 - 141. Suppose 7*u - 3*u = 28. Let m = y - u. List the prime factors of m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 + 4*q**2 - 1. Let h be ((-12)\/36)\/(1\/3)*0. Suppose 6 = -2*t + r - 1, h = -r + 1. What is g(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -42 - -16?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87*(304\/48 + -4) is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 7*u + 17. Let n(c) = c**2 + 20*c - 33. Let s(x) = x**3 - 3*x**2 - 29*x - 15. Let k be s(7). Let w be n(k). Let h(r) = 4*r + 9. Give w*h(a) - 6*g(a).\nAnswer: 2*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 - 3*c - 26. Let v be k(-4). Let l be 20\/(-6)*1\/(-5). Find p such that 0 + 2\/3*p + l*p**v = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -180*f**2*l**4 - 47*f**2*l - 221*l**5 - 213*l - 3 wrt l?\nAnswer: -2160*f**2*l**2 - 4420*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -32.4 minus 122313006?\nAnswer: -122313038.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 48 = -4*s. Suppose -5*p + 13 = -s. What is the greatest common factor of 35 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.013 - 0.073. Let c = a - -0.0542. Round c to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*j - 5*j + 9*j = 54 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v - 3. Let p be q(1). Let k = p + 2. Suppose k = -m - 21 + 24. Let j(w) = w**2 - 6*w - 4. Determine j(m).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from zzzzzzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*z - 7. Suppose 2*r = 7 + 3. Suppose 77 = r*g - k - 32, 3*g - 62 = z*k. What is the highest common factor of g and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 4*s**2 + 2*s - 8. Let g = 10 - 16. Let f(a) = 2*a - 5. Let d be f(5). Let l(u) = 3*u**2 + d*u**2 - u**2 - 15 + 4*u. Give g*l(i) + 11*b(i).\nAnswer: 2*i**2 - 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 PM and 9:36 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -453*x - 1560*x + 157*x + 93*x - 509*x to r + g*x and give g.\nAnswer: -2272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of -1\/120*j**6 + 0*j + 13*j**2 + 2*j**3 - 1\/20*j**5 + 0*j**4 + 0. What are the prime factors of y(-5)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -28\/333 and -46\/45.\nAnswer: 1665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -43 - -5. Let t = -37.9893 - z. Round t to 3 dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 12 = k. What is the common denominator of -101\/16 and k\/36*14 - 2?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -3*w + 206. Calculate the remainder when w is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6 - -1 - 4*42\/392*7. Solve 2*p = h*n + 10, -p + 4*n + 25 = -4*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 245 divided by -168369.\nAnswer: -245\/168369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 161050783 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 3*o = -62 + 89, 8 = -3*i + 2*o for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -141*d**3 - 2*d**2 - 4*d - 1. Let t(j) = -704*j**3 - 11*j**2 - 22*j - 6. Determine 11*l(x) - 2*t(x).\nAnswer: -143*x**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 2*z - 5*c, c = -3*z + 4*z - 21. Find the first derivative of -29 + g - g + 17*g**4 - z + 27 wrt g.\nAnswer: 68*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2, 7, 18, 35, 58, 87, 122?\n\"Answer: 3*w**2 - 4*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - z**2 - 2*z - 1. What is h(3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.9 and 1.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 8 = 1072. Is b a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -65.27315 + 65.86418158. Let m = f - -1.90896855. Let w = m + -2.5. What is w rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -34 (b) 0.5 (c) -2\/5 (d) -2\/19 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 587, -0.1, 57?\nAnswer: 587","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 282276779 to the nearest integer?\nAnswer: 16801","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(2\/31)*m*m**(-5) assuming m is positive.\nAnswer: m**(-122\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 49.4108 centimeters?\nAnswer: 494108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45 and 368460.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 1623 + 1655 = i, 0 = a + 5*i - 160 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 9*q - 5 + 37*q**2 - 38*q**2 + 10*q + 1 + 3. Suppose 3*o + o - 24 = 0. Let b be p(o). Calculate the greatest common divisor of 7 and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1496*l**2 + 500*l**2 + 460*l**2 + 535*l**2.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 100 - -144?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 28*c**3 - 5*c**2 + 21*c. Let g(h) = 27*h**3 - 6*h**2 + 20*h. Let l(d) = 3*g(d) - 4*k(d). Find the second derivative of l(b) wrt b.\nAnswer: -186*b + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10.522 + -3.516. Let v = -5.3 - 1.7. Let w = v + t. What is w rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -17.308 to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6280786)\/778932 + (-16)\/(-56). Let w = -1\/6182 + z. Let j = w - -473\/18. Find the common denominator of j and 99\/56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 3*i**3 + 1842*i**2 + 14544*i + 106. What is d(-606)?\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2712542*y**3 - 3*y**4 + 800 + 2712542*y**3 + 137*y wrt y.\nAnswer: -12*y**3 + 137","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 - 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 72494, 72485, 72472, 72455, 72434, 72409, 72380?\nAnswer: 72347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 126110021 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 1 - 15*t + 75*t + 0.\nAnswer: 60*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - -8)\/(24\/84).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mv when two letters picked without replacement from {d: 7, b: 3, v: 1, p: 3, m: 5}?\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqxxxxxqqq. What is prob of picking 1 x and 1 q?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -414 - -417. Solve 0 = 13*w - m*w + 10 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3104 divided by 4?\nAnswer: -776","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - 16)*(-11)\/(110\/45). Let c be 4 + ((-30)\/(-8))\/(b\/(-48)). Determine d so that -c*d + 1\/2*d**2 + 1 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 2*x + 29. Let l = x + -16. Let m be l\/5 - (-15)\/(-25). Sort 4, m, -2\/5 in decreasing order.\nAnswer: 4, m, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8319\/8 + -1031. Find the common denominator of 81\/2 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.3 - 0.3. Let d = w + -2.1. Let p be ((42\/63)\/(4\/6))\/4. Sort p, -1, d in ascending order.\nAnswer: -1, d, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/30300 and -85\/1478.\nAnswer: 22391700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 250477 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 44786 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: Let k(y) = -y**3 + 11*y**2 + 16*y - 29. Let u be k(11). Suppose -a - 5*s = -41, -3*a + 7*a = -3*s + u. Does 12 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -51 - -47. Let f = 178 + -886\/5. Which is the nearest to -0.2? (a) 0.4 (b) f (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19873, -19329, -18785, -18241?\nAnswer: -17697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/4))**(-5\/2)*i**7\/i*i**1*i assuming i is positive.\nAnswer: i**(59\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of -1\/6*h**3 - 3*h**2 + 0 + 0*h + 1\/24*h**4. Let z(y) = 2*y**2 + 13*y - 20. Let k be z(-8). What is i(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1265650 to the nearest integer?\nAnswer: 1125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - v**2 + 67*v + 1. Let z = 306 - 190. What is the remainder when z is divided by y(-9)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -15, -k = 5*g - 3*k + 116. Let v(q) = -q**3 + 7*q**2 - 16*q + 12. Let f be v(4). Let c be (f*8)\/(g\/11). Solve 4*d + 0*d = c for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 7, a: 12}. What is prob of sequence aw?\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 72336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/33)*v)**(1\/6)*(v**(11\/2)\/v)**(-2\/15) assuming v is positive.\nAnswer: v**(-419\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.5, 370, 6, 2.5, -2\/11, -3?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**2 - 102888587 + 102888587 + 2*p**2.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 691712272?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -46. Suppose -q*j = -54*j + 24276. What are the prime factors of j?\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*q**4 - 457*q**2 - 10*q**4 - 2*q**3 - 25 + 6*q + 456*q**2 as v*q**2 + t*q + b + r*q**4 + a*q**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 55, 16, -1, -5 in increasing order.\nAnswer: -5, -1, 2, 16, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 + 125 = 5*r. Suppose 0*s - s = 3*z - r, -5*s = 4*z - 25. Let w be (-1)\/(6 - (-2 + s)). What is the smallest value in -2\/3, w, -0.5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 21*1 - (1 - 2). Let y = 189 + -177. Let t = j - y. Is 9 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -33917 + 243*v + 33917 in the form o*v + l and give o.\nAnswer: 243","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1178 + -1182. Which is the closest to p? (a) 0.4 (b) 2\/7 (c) 1 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -15 (b) -4 (c) 41 (d) -9\/25 (e) -22 (f) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5925, -11839, -17753, -23667, -29581, -35495?\nAnswer: -41409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 2*a - 7*a + 23, 26 = -4*d - 2*a. Is -7 >= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**11\/s*s*s*s**(2\/3))**(-4\/31) assuming s is positive.\nAnswer: s**(-152\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 7. Let b(s) = -6*s + 1. Give b(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 1035?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 14628.1424 rounded to 0 decimal places?\nAnswer: 14628","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 69797715?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 i when two letters picked without replacement from {i: 5, m: 11}?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 5 + 52*l - 19*l - 18*l - 17*l. Let u be b(3). What is the second smallest value in -12, -4, u?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2754 and 136.\nAnswer: 11016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/5, 49071\/7, -4\/7, 5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 5*r = d + 75, 0 = -5*r + 25. Is d less than or equal to 21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.5 + 0.1. Let j = -1 - p. Let i = -0.2 - 0.1. Sort j, i, -1\/4.\nAnswer: i, -1\/4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/3, 2\/59, -7?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-245)\/(-200) - 28\/((-35168)\/(-1413)).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 + 48*k - 590. Determine t(23).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence www when three letters picked without replacement from wwww?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06, -127, -2\/17, 2.853 in increasing order.\nAnswer: -127, -2\/17, 0.06, 2.853","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27709 = -x + 6*x - 2*g, 4*g - 22156 = -4*x. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58669 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -15*d + 3. Let y(g) be the first derivative of -4*g**2 + 2*g + 1. Let i(c) = -3*l(c) + 5*y(c). Differentiate i(t) with respect to t.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -791 + 442. Let l = -301 - n. What is the remainder when 94 is divided by l?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*s + 120*s + 2140 = 0 for s.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/1872 and 67\/338.\nAnswer: 24336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.6 + -5. Let m = 0.2 + d. Let g = -0.345618 - -0.265618. Put g, 3, m in increasing order.\nAnswer: m, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-335*k**2 - 160*k**2 + 209*k**2)*(3*k**3 + 0*k**3 - k**3) + (-k**4 - 2*k**4 + 5*k**4)*(2*k - 1 + 1).\nAnswer: -568*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of -t**5\/60 - 3*t**4\/8 - 7*t**3\/2 + 62*t**2 - 2*t. Determine o(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -754, -739, -724, -709, -694?\nAnswer: -679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**4 + 678*j**3 - 47952*j**2 + 855040*j - 1523712.\nAnswer: (j - 32)**2*(j - 2)*(j + 744)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 + 4*j**2 + 4*j + 5. Let l be u(4). Let x = -14 + l. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 3 - 12 + 33*z**2 + 7*z - 34*z**2. Let p be (-1)\/2*(-18 + 0). Suppose -7*m + p*m = 12. What is k(m)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n - 14. Let x(l) = l**3 - 8*l**2 + 7*l - 7. Let d be x(7). Let p be k(d). Suppose 6*z - 18 - 12 = p. Solve 0 = -z*r + 3 + 17 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 138, 0.2, 2\/15, -1, 2\/11.\nAnswer: -7, -1, 2\/15, 2\/11, 0.2, 138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23724?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b**(-7))\/b)**(-15) assuming b is positive.\nAnswer: b**90","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of -2*y**7\/105 + y**6\/15 - y**4\/3 + 2*y**3\/3 - 11*y**2. Suppose s(a) = 0. Calculate a.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u**2 + 7545*u + 342844. Determine k(-46).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 - 6*w**2 - w + 2. Suppose -3*v = 3*t + 27, -3*v - 21 = t - 0*t. What is the smallest common multiple of h(v) and 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 375 + 6\/3 + (4 - 7). Let b(i) = 3*i - 1. Let r be b(3). Suppose -r*u + g = -506. Does 11 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 76, 154, 254, 376, 520?\nAnswer: 686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 4*o - 16, -2*o + 8 = -2*n - 3*n. Suppose o*v - 2 = 3*x - 0*x, 5*x = 5*v + 5. Calculate the highest common divisor of 2 and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + o**3 + o**2 + o**2 - 1 as p*o**2 + d*o + w + r*o**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of -j**3\/3 + 3*j**2\/2 + 8. What is the second derivative of w(t) wrt t?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzzp when four letters picked without replacement from {z: 3, p: 5}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 172 - 106. Is t a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 4*s = -118 + 346, -4*s - 284 = -5*f. Suppose -5*c + 25 = n, 54 + 21 = 3*n - 3*c. What is the remainder when f\/28*97\/(-2)*-1 is divided by n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1.404 or -23870?\nAnswer: -1.404","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(2\/7))**(-15\/8)\/(b**0)**(-2\/43))\/((b**0)**38)**(5\/2) assuming b is positive.\nAnswer: b**(-135\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 equal to -46198?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000604033 rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + -1521325?\nAnswer: -1521325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.815 take away 7.321?\nAnswer: -8.136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 176, 3, -2 in ascending order.\nAnswer: -2, -1, 3, 176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/24)\/(((-503335)\/(-146))\/(-197))?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + -19 - (0 - 5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-4))\/((-6)\/(-12)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 16*c**4 - 132*c**3 + 364*c**2 - 408*c + 160 = 0. What is c?\nAnswer: 1, 5\/4, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2. Let z(x) = -1103998*x. Determine d(z(l)).\nAnswer: 1218811584004*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 11 + -9 - (13 - (-8 + 4))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.466, -1\/8, -314, -0.4, -2 in decreasing order.\nAnswer: -1\/8, -0.4, -0.466, -2, -314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 minus -0.065669146?\nAnswer: 0.165669146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 4:43 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 107, -297, -1211, -2635, -4569, -7013, -9967?\n\"Answer: -255*m**2 + 361*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 85109131 a multiple of 238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 851 is divided by ((-190)\/(-12))\/((-23)\/(-138))?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 8, -1\/13, -2\/11, 5, -3 in decreasing order.\nAnswer: 14, 8, 5, -1\/13, -2\/11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*y - 63*y**2 - 87*y**2 + 19*y - 2.\nAnswer: -150*y**2 - 17*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dtb when three letters picked without replacement from {b: 6, d: 3, t: 6}.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 PM and 11:22 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1830 and 25862010?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -3. Suppose -25*m + 2*m - 46*m - 207 = 0. Let a(y) = -y**2 - 1. Let v(j) = 2*j**3 + 3*j**2 + j + 3. Determine l*v(t) + m*a(t).\nAnswer: -2*t**3 - t","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 210012020 - -12211?\nAnswer: 210102001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1250) + sqrt(1250))\/((-2*sqrt(40))\/sqrt(4)) + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 7)*(-53 - 5*x**2 + 53 + (4*x**2 + x**2 - 4*x**2)*(-6 + 2 + 3)).\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*m - 15*m + 679*m**2 + 2*m**2 + 299*m**2.\nAnswer: 980*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 74750091 to the nearest integer?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10\/899 - 6784\/124961. Let y = m - -416\/3197. Let s be ((-2)\/(-3))\/(14\/6). Sort 0.5, s, y in decreasing order.\nAnswer: 0.5, s, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 436.524 + -437. Let g = d - -0.176. What is the nearest to -2 in g, -0.2, 0.3, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 9. Let b(p) = -2*p**3 - 5*p**2 - p. What is the least common multiple of b(x) and 4?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1352 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 743623 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that g**2 + 23*g - 115128 = 0.\nAnswer: -351, 328","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 57*i. Let k(l) = 26*l - 10. Determine k(s(x)).\nAnswer: 1482*x - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 + -28. Let f = 54526.073 + -54517.0730044. Let m = d + f. What is m rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -7*t - 2. Let f(z) = -17*z - 6. Let a(k) = 4*f(k) - 11*s(k). Let q(m) = -9*m + 3. Determine -3*a(y) - 2*q(y).\nAnswer: -9*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 6*r**2 - 4*r - 39. Let c be i(7). Let d = 230 - c. Solve -b + d*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -22 and 0.7.\nAnswer: -15.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-20 + 1 + -7 + 8 - -3).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 162*z + 242. What is the nearest to -4 in -0.04, -5, z, 2\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -182*s - 275 - 271 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + 0 - (2 + -5 + 6). Let n be (o - 56\/(-12))\/((-1)\/1599). Suppose -29 + n = 8*w. Does 7 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-18) + 2\/(-12). Suppose s = -f - 2*f + 42. Suppose 4*b = b + 12. What is the lowest common multiple of f and b?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = w - 24. Let d be 6\/w - (-10)\/4. Solve -4*a + 6*a + 9 = -3*l, 2*a = d*l + 6 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -30, -66, -102, -138, -174, -210?\n\"Answer: -36*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.242 - -0.242. Sort -2, h, 6\/19 in decreasing order.\nAnswer: 6\/19, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32 + 43832*m - 21920*m - 21913*m.\nAnswer: -m - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-6 - 3) + 12 + 0\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 AM and 8:43 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 192\/56 + 9\/(-21).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 91 - 11. Let y = i + 22. Suppose -9 = -v - 4*w, 5*v - y*v - 5*w = 61. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152*z + 153*z - 2*m = 5, -5*z - 5*m = 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by -973740?\nAnswer: 1\/97374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/2349 and 1\/6264?\nAnswer: 18792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -38617*q**4 - 84071 wrt q.\nAnswer: -154468*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 472, 3533, 11792, 27847, 54296?\nAnswer: 93737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 7) in base 10?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 742?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -18e + -4a65?\nAnswer: -4bf3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 - 3*n**3 - n**2 - 2*n**4 - 19*n**2 - 17 + 50 - 22 to the form d + g*n + i*n**3 + m*n**4 + k*n**2 and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (10\/(-3))\/(4\/(-18)). Suppose 2*m - 23 = -f, 0 = -4*f + 4*m - o + 143. Let c = f + -17. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2327 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 5.829724 meters?\nAnswer: 0.005829724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (91\/(-77) - 4\/(-22)) + 9. What is the remainder when (-16 - -94) + x\/2 + -1 is divided by 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, -18 in increasing order.\nAnswer: -18, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2)\/(-3) - 48117\/(-36) - (-58)\/(-232)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q**2 - q - 15. Let z(o) = 2*o**2 - o - 17. Give -7*p(c) + 6*z(c).\nAnswer: -2*c**2 + c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-4))\/((-3)\/54). Let r = t - -12. Solve -4*a + 10 = 5*x - 3*x, -3*a = -r*x + 15 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.3 + 66909\nAnswer: 66907.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*g + 7. Let b(i) = -i**3 + 6*i**2 - 7*i + 5. Let c be b(5). Sort 5, g, c.\nAnswer: c, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - 7) + 19 + -10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -182 + 87. Let x = g - -94. What is the nearest to x in 0.1, 0.3, -8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39874236?\nAnswer: 2, 3, 19, 47, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f + 1. Suppose -2*j + r - 5 = -3, -3 = 5*j - 2*r. Let w(p) = 6 - 4*p**2 + 7*p + 2*p**2 - 3*p. What is j*w(v) - 5*q(v)?\nAnswer: -2*v**2 - v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of b**5\/20 + b**4\/6 + b**3\/3 + 44*b - 5. Determine i(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*p = 37 + 7620. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.6 take away -7.736278?\nAnswer: -8.863722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 494 divide 472264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 83*f**2 + 107*f + 606. Let j(v) = 9*v**2 - v - 2. Let p(t) = 9*j(t) - x(t). Let p(c) = 0. What is c?\nAnswer: -52, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 j when three letters picked without replacement from hhhhhhhhhhhhhhjhhhh?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 9 + 1 = 0. Suppose a + 4 = k*z, a = 2*a. What is j in 4*j**2 + 0*j**2 - 2 - j**2 - z = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -751872 divided by -89\nAnswer: 8448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1.5 (b) -18 (c) 1.2 (d) -6\/5 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 0, -107, 8 in decreasing order.\nAnswer: 8, 5, 3, 0, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 + 15. Let y = q + -32.9. Which is the closest to y? (a) 3 (b) 4 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) 5 (b) 0.1 (c) -1\/2 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 7*z + 30. Calculate the remainder when k(5) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 918155848 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45, -118, -119, 48, 479, 1270, 2517?\nAnswer: 4316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 401511764 - 401511764 - 123*l.\nAnswer: -123*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -74337, -74340, -74343, -74346, -74349?\nAnswer: -74352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-69)*(-32)\/(-144)*-9*1?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/3)\/i*i**2)**(4\/19) assuming i is positive.\nAnswer: i**(8\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*r**3 + 0*r + 0*r + 11*r**3.\nAnswer: -9*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31151*h - 10373*h - 10416*h - 10371*h.\nAnswer: -9*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bzxzhzxyxhzzzexh. What is prob of picking 1 x and 1 b?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 8:40 PM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-323)\/(-133) + (-8)\/(-14).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - 22*j**2 - 24*j - 52. Suppose 2*o - 24 = h - o, 4*o = 4*h + 88. Let x be q(h). Solve p + p - 2 = -2*g, -g - x = -3*p for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4718 + 4707. Let w(u) = -u**2 - 6*u + 20. What is w(t)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2097 is divided by 24.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 97*h - 4 = -99*h, 5 = 2*q - 5*h for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**3 - 6*f**2 + 2*f - 10. Does 25 divide o(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.093 - -1.092853. Round b to five dps.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 4, 8*k - 5*k = -f + 934. List the prime factors of f.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q. Let l be j(5). Suppose -7 = -3*w - v, 4*w + 2*v = 3 + l. Suppose 2*g = i - 10, w*g - 2*g - 30 = -2*i. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -53145, -212332, -477559, -848826?\n\"Answer: -53020*g**2 - 127*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -3*v**2 + 151*v + 9. Let i(w) = -2*w**2 + 74*w + 5. Give -5*i(p) + 3*o(p).\nAnswer: p**2 + 83*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 502265?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6061.725ml to litres.\nAnswer: 6.061725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**14*d**(2\/21)\/d)\/((d\/d**(1\/5))\/(d\/(d*d*d*d\/(d**(-8)*d)))) assuming d is positive.\nAnswer: d**(241\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -37a + -6?\nAnswer: -384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-7)*(-1)\/(25\/(-525)). Let o(g) be the first derivative of q - 1\/3*g**3 + 0*g + 0*g**2. Factor o(h).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**3 + 85*y**2 + 197*y - 36. What is the remainder when 770 is divided by x(-40)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 889 in increasing order.\nAnswer: -5, -4, 889","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -58.8 - -65. Let c = -6.19999765 + d. Round c to 7 dps.\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*o**4 + 5*o**2 - 3*o**4 + 1 + 0 - 2*o - 2*o**4 to k*o + f*o**4 + b + a*o**3 + s*o**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 430736 and 2960.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -96575*p + 289690. Calculate j(3).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yfy when three letters picked without replacement from {f: 10, y: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/5 + 28*h**2 - 1523*h\/5 - 1664\/5.\nAnswer: -(h - 128)*(h - 13)*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 828 - 963. Let h(m) = -151*m - 4. Let p be h(-3). Let x = d + p. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-26) - 30636\/(-1924). Let m(u) = 2*u**3 - 33*u**2 + 13*u + 32. Determine m(l).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 - 10*g - 16. What is z(-9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p - 1. Give y(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9996 and 612?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a week in hours?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2cb (base 14) to base 8.\nAnswer: -1073","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-132)*-40 - (-4)\/22. Let t be (-208)\/(-6) - 2 - 3\/(-9). Which is greater: t or p?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 114*v**3 - 141 wrt v?\nAnswer: 342*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lfm when three letters picked without replacement from lfllljmffilvvlfv?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/113162 and -50\/88913.\nAnswer: 1244782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, 1.14, 4, 3, 2.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 7*v**2 - 7*v - 4. Let b be x(8). What is the tens digit of 176\/(-11)*(-10)\/b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffsn when four letters picked without replacement from sfsanffaafffsa?\nAnswer: 15\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -5 - (8 - 6) - -14 - 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -217, -229, -229, -211, -169, -97?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -7*k**3 - 5*k. Let z be 3 + 1 + -4 + 5. Let w = 4 + -3. Let n be 0 - ((-4)\/w + 0). Let h(x) = 6*x**3 + 4*x. Calculate n*c(u) + z*h(u).\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 366 - 91 = -r. Let b be ((-3)\/(-5))\/((-5)\/r). Let q = b - 22. List the prime factors of q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x - 100*x**3 - 3472*x**2 - 3926*x**2 + 7396*x**2.\nAnswer: -100*x**3 - 2*x**2 - 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -290*s - 10724. Give h(-37).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -0.091?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-102669)\/9778*4\/((-2)\/(-1))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -4*n + 17. Let c(o) = 2*o - 9. Let i(s) = -5*c(s) - 3*m(s). What is the derivative of i(j) wrt j?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 55.0268 to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 1)*((-1 - 1 + 1)*(2 - 2 + 3*m) - m + 2*m + m).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (11 + 17)*2\/4. Suppose v*s - 12 = 17*s. Let a be (s\/(-24))\/(3\/3). What is the second biggest value in -5, 0.3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.089 - -0.211. Let z = 11 - 6. What is the closest to -0.1 in z, -0.4, j?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -11*x + 2. Let p(d) be the third derivative of d**5\/20 + 7*d**3\/6 + 16*d**2. Let m(a) = 2*a**2 + 4. Let y(k) = 7*m(k) - 4*p(k). Determine y(c(g)).\nAnswer: 242*g**2 - 88*g + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**2 - 4*u**2 - u**2 + (2*u - u - 3*u)*(-2*u - 2*u + 2*u))*(24*u + 3*u - 16*u) + 50 - 50 - 8*u**3.\nAnswer: 14*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*b + 14*b + 0*b)*(1 + 4 - 6).\nAnswer: -7*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (70\/(-21))\/(((-56)\/21)\/(-4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -7*k + 10. Calculate d(-2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 483*c**4 - 870*c**3 + 279*c**2 + 120*c - 12 = 0. Calculate c.\nAnswer: -2\/7, 2\/23, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 - 21 + 10 + 11. Let y(u) = -2*u. Let h(o) = -8*m(o) + y(o). What is the second derivative of h(l) wrt l?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36 - 25. Suppose 3270 = 6*k - w*k. Let g = k - -1241. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 761 = 24*d. Let b be 2 + -5 - -790 - 3. Suppose -b + 144 = -4*u. Calculate the greatest common factor of u and d.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -7*b - 5. Let x(a) = -6*a - 4. Let q(f) = -5*t(f) + 6*x(f). Suppose 2*g - 1 = 7. Let y(p) = -7*p + 4. Let o(u) = g*q(u) - y(u). Give o(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 4:02 AM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + d + 2*d)*(-10*d**2 + 2 + 7*d + 10*d**2 - d**2)*(2 + 2 + 0).\nAnswer: -8*d**3 + 56*d**2 + 16*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -234 + 233. Let f be (u + (-26)\/(-14))\/(-70 + 68). Which is the closest to -12? (a) 5 (b) -2\/9 (c) 0.5 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140*d = 131*d + 7326. What is the greatest common divisor of 66 and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1216802\/3 - (14\/(-6) - -3). Suppose u = -1272*g + 1274*g. Round g to the nearest ten thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 - 36 = 11*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16893826 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/5 (b) -16829 (c) 2 (d) -3\/5 (e) -288 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*o = 81*o + 315. Let g = -6 - -1. Let y = o - g. Calculate the remainder when y is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 1, -132, -3\/13 in descending order.\nAnswer: 1, 0.3, -3\/13, -132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -49*c + 4. Let r(x) = -50*x + 4. Determine -3*i(p) + 4*r(p).\nAnswer: -53*p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101 = 5*x - 0*x + 2*v, 2*v + 4 = 0. Suppose -5*z + 14 = -x. Let f(a) = -z*a - 17 - a - 5*a - 4*a. Let l(m) = -4*m - 4. Give -2*f(g) + 9*l(g).\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 3*d - 21, -5*r - 14 = -r + 3*d. Let v = 0.35 - -0.05. Put -0.1, r, v in ascending order.\nAnswer: r, -0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36*p - 2*p + 13*p to d*p + h and give d.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 14*s**2 - 48*s + 8. Calculate r(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (3 + 1)) + (-1 + -11 - -11)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.0952 + -1.095175845. What is g rounded to seven decimal places?\nAnswer: 0.0000242","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) 147\/2 (c) -0.2 (d) 4 (e) 109 (f) -4\/3 (g) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**3 - 120*t**2 + 395*t - 270.\nAnswer: -5*(t - 2)*(t - 1)*(t + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 0.4, 0.6, -2\/9 in decreasing order.\nAnswer: 0.6, 0.4, -0.1, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001083442081 to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*o + 139*o = -4*w - 14, -16 = -4*o + 4*w for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - g - 2)*(-2*g + g + 2*g) - g**2 + 3*g**2 - 3*g**2 + (1 - 5 + 3)*(2*g**2 + 0*g + 0*g) - g**2 - 3*g**2 + 2*g**2.\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of -r**4\/24 + r**3 - 5*r**2. Let s be i(4). Suppose 0 = 2*f - 12. Calculate the greatest common divisor of f and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9289 + 12079. Calculate the lowest common multiple of a and 30.\nAnswer: 2790","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1571, -5021, -10349, -17555?\n\"Answer: -939*v**2 - 633*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0373 + 0.9627. Let p = 7 + -1.9. Let b = -1.1 + p. Put b, 0.5, l in descending order.\nAnswer: b, l, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -78?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -145, -122, -99, -76, -53?\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 603220.\nAnswer: 2, 5, 30161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1634683, -1634665, -1634635, -1634593?\nAnswer: -1634539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 34 = 22 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**2 - 2*d**2 + 10 - 2*d**2 + 9*d. Let k be a(5). What is the second smallest value in -1, k, 4\/5, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 95*w - 91*w = 0, -w - 8 = -5*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6.4 - 0.22. Let d = b + -1.18. Let x = 7 + -11. What is the biggest value in 4, x, d, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 319728 and 71520.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.395874 meters to micrometers.\nAnswer: 2395874","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 468924415?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of v**5\/20 + v**4\/12 - 4*v**3\/3 - v**2 - 3*v. What is the units digit of k(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20c3a (base 13) to base 14\nAnswer: 17807","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 51 - 25. Calculate the remainder when 73 is divided by o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 3*x. Let q be (-7)\/2 - (-7)\/14. Put q, x, 2 in decreasing order.\nAnswer: 2, x, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 315 or 796?\nAnswer: 315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 129 in -0.4, 0.5, 0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 2. Suppose 2 = 3*g - 6*g - 5*p, -4*g + 2 = 2*p. Which is greater: l or g?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-35)\/(-10))\/((-3)\/(-1488))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6bb19 + 25?\nAnswer: 6bb41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15457 and 533?\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 10, 2, 1.\nAnswer: 1, 2, 10, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1541079322?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12154 - 12150. Let d(s) be the first derivative of 0*s**3 + 0*s + 21\/5*s**5 + 15 + 7*s**2 + 0*s**u. What is the second derivative of d(f) wrt f?\nAnswer: 252*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11020971?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*x - 5*j - 26 = 40*x, -4*j = 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.14 (b) -35\/3 (c) -2.19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 253 + -256. What is the third biggest value in -2\/23, 0.4, c, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**3 + k**3 + 0*k**3)*(k + 2*k - 2*k) + k**4 - 2*k**2 + 2*k**2 + (-3*k + 0*k + 4*k)*(450*k - 2512 + 2512)*(-1 + k**2 + 1).\nAnswer: 453*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 314239 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -3*f - 20, -2*f - f - 24 = -3*y. What is the remainder when ((-2)\/3)\/((-4)\/36) is divided by y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17\/3 - -49\/9. Is f less than or equal to -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -71 - -212. Is 13 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111545*t**2 - 79*t + 79*t.\nAnswer: 111545*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-335)\/(-20) - 9\/12. Solve 3*n = -4*q + 14, -4*n + 9*n = -3*q + t for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 124 and 156?\nAnswer: 4836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-19))\/(w\/w**25))\/(w**1\/w**(-7\/5)) assuming w is positive.\nAnswer: w**(208\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 5*m = -3*r + 177, 4*m - 4 = 0. Suppose n + 4*i - r = 0, 2*i + 2*i - 98 = -2*n. List the prime factors of n.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = 3*d + 1, -2*z + 4 = 17*d - 14*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 386609 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -2, 42, 5, -5 in increasing order.\nAnswer: -5, -2, 5, 9, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8301 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 27867 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56, 59, 62, 65, 68?\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 9*a**2 - 7*a - 22. Is j(-5) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -25*m + 27*m. Let r be (m + -3 + 1)*1\/2. Let n be (-10 - -9) + 17\/11. Which is smaller: r or n?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1829 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 7:45 PM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42481, 84961, 127441?\nAnswer: 169921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 + 3*k**2 + k - 1. Let f be s(2). Suppose 0 = -f*j - 0*j + 30. Is 3 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*o = 28*o - 13*o - 1050 for o.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -4. Let c(t) = -l + 2*t - 9 - 2. Let s be c(9). Solve -s*b + 4 = 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 11, -3, -2, 4, -23, 173 in descending order.\nAnswer: 173, 11, 4, -1, -2, -3, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 59.9 + -59.8999704. What is u rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/1*36\/(-540))\/(224\/168).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 3*j + 15 = 4*d, j - 5 = 3*d. Let p = 63 + -48. Solve d = -r - 2*r + p for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v = 686 - 126. Suppose -3 = -3*l + 2*l. Suppose l*w = -4*h - w + v, -5*w = 4*h - 83. List the prime factors of h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 - o. Let g(b) = -6*b + 4. Let l be g(0). Let t be m(l). Suppose -c = t + 28. Round c to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6*(15 - 14))\/((-2)\/(-3)). Solve -c - 1 = 5*b, 6*j = -3*b for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 78\/55819?\nAnswer: 78\/55819","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -31909, -29726, -26089, -20998?\n\"Answer: 727*l**2 + 2*l - 32638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40002\/19 + -1159669\/475. Let m = 336 + q. Let x = m + -21\/100. Is 0.1 > x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f**3*z**3 + 3*f**3*z + f*z**2 + 35*z**5 + 2*z**2 wrt z.\nAnswer: 12*f**3 + 2100*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 5*u = -9*u. Let k(d) = -d**2 + d + 5941. Is k(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -523 - -520.57. Let z = a + 2.430282. Round z to five dps.\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 20*h**2 + 3*h + 12. Let q(y) = -21*y**2 - 3*y - 10. Calculate -6*q(w) - 5*x(w).\nAnswer: 26*w**2 + 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*o - 7. Let m = -0.2 - 38.8. Let t = 43 + m. Which is the biggest value? (a) t (b) o (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 1135.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110011 + 110?\nAnswer: 10111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -604 + 605 - (-2 + 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 324465, 324461, 324457, 324453, 324449?\nAnswer: 324445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/6 (b) 10 (c) 604764 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -3*z + 5*i, 0 = -5*z - i + 8 - 3. Suppose -5*g - 140 = -5*o, -4*g - 82 = 2*o - z*o. Put g, 2, -5, -2 in descending order.\nAnswer: 2, -2, -5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 + 100*w - 1842. Is g(35) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -157*0.3\nAnswer: -47.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 12:05 AM?\nAnswer: 2:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -476*f**2*g**2 - 4*f*g**2 - 2*f*g - 7*g**2 wrt f.\nAnswer: -952*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-7))\/((-27)\/7 - -4). Suppose 1 = q*u - g - 7, u + 2*g = 9. Calculate the remainder when 7 is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -805?\nAnswer: -80.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3075 - 3071. What is the greatest common divisor of y and 1108?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -12*d**3 - 50*d**2 - 1466*d - 5824. What is a(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 59\/27 (c) 0.3 (d) -2\/31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f - 2350626030*f**3 + 2350626025*f**3 - 2*f.\nAnswer: -5*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1883?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(2\/3))\/v**6)\/(v**(-2\/9)\/v**0) assuming v is positive.\nAnswer: v**(-37\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mgt when three letters picked without replacement from {t: 1, m: 3, g: 5}.\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-10))\/(6\/24)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (18\/4*(-6)\/(-18))\/(-48*50\/(-22400))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/20798812 and -9\/74?\nAnswer: 769556044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - 170. Let c be (-4)\/(20\/o) - (10 + -6). What is the greatest common factor of c and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*(o\/o**9)\/o)\/(o\/((o**(-3)*o)\/o)*o)*o**(-13)*o**(2\/5) assuming o is positive.\nAnswer: o**(-123\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*v + 19*v - 4*j + 6, 0 = 3*v + 4*j - 5. Sort 58, -2, v.\nAnswer: -2, v, 58","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1880 and 10575?\nAnswer: 84600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26214139?\nAnswer: 7, 83, 45119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + -59?\nAnswer: -5e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.48 + -0.0406062263?\nAnswer: -23.5206062263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/50 of a microgram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/2 - (-8 - -2). Suppose -5*n = 2*f - 16, -o*f = -0*n - 4*n + 24. Does 12 divide f\/(-4) + 357\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 50, 58, 66, 74?\n\"Answer: 8*v + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 716 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - x = -3. Suppose 13 = 4*h + f, 3*h - 5*f - 2 = 2. Let u be 3\/(h\/8*4). Which is smaller: u or x?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 822461?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 13*f**2 + 10*f + 1. Let c(t) = -39*t**2 - 29*t - 4. Give -2*c(n) - 7*u(n).\nAnswer: -13*n**2 - 12*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 m when three letters picked without replacement from gmmmgmmm.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1 and -213784.\nAnswer: -213785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5*(-1)\/(-10)*16. Let s be 10\/2 + t\/4. Let h(x) = 4*x - 4. Determine h(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - 835 + 839 - 27*h)*(-h**2 + h**2 - h**4).\nAnswer: 25*h**5 - 4*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16972 or 16971?\nAnswer: 16971","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*b)*(3*b - 3*b + 2*b) + (2*b - 33 + 20 + 15)*(-3*b + 4*b + b).\nAnswer: 8*b**2 + 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**4\/s*s)\/s*s**1*s**5*(s*(s*s**(-2\/31)*s)\/s*s)\/s*((s**(-2\/5)*s)\/s)**(-2\/111)\/(s**2*s**(-3\/10)) assuming s is positive.\nAnswer: s**(318041\/34410)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 0*v - v + 2 = 0, -3*v = 5*s - 6. Suppose t - 3*t + 12 = s. Find the third derivative of -2*w**4 + 2*w**2 - 6*w + t*w wrt w.\nAnswer: -48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 6 = 2*d, 6*a - 4*d - 4 = 2*a. Suppose -4*i = -0*i - a*m - 496, 0 = -i + 4*m + 131. Calculate the greatest common divisor of 164 and i.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10.8 - -17.7. Let c = 3 - s. Let g = -3.90004 - c. Round g to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -6479\/53890?\nAnswer: -6479\/53890","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 73438331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 PM and 10:24 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 145\/(-14) + 27 + -16 - 0?\nAnswer: 9\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-20)*z)\/(z*z**(2\/7)))**31 assuming z is positive.\nAnswer: z**(-4402\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4930 * 0.5\nAnswer: -2465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -161 + 172. What is the remainder when 28 is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 330*c**3*x**3 - 2*c**3*x + 10*c**3 + 4*c**2*x wrt x?\nAnswer: 1980*c**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/2217486 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -170.\nAnswer: -178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2367 is divided by 25.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - 53)*(1 - 2). Let c = i + -30. Is c a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.9464446l?\nAnswer: 946.4446","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 3*t + 992, 4*t = -4*s + 3*t + 992. Let f = s + -160. Does 22 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5774843018 + 5774843018 + 295*c + 324*c.\nAnswer: 619*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*z**3 - 63*z**2 - 1 - 5 + 65*z**2 in the form n*z + a + v*z**3 + d*z**2 and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -609.5 + 610. Sort 3\/4, 2\/5, 37, l in descending order.\nAnswer: 37, 3\/4, l, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -291844, -291846, -291850, -291856, -291864?\n\"Answer: -y**2 + y - 291844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -75 - 73 + 364*q - 74 + 221 to p + k*q and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/4)\/((-77)\/(-44)). Sort d, 0, -4, -1 in decreasing order.\nAnswer: d, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -4*z + 2*t, 5*z + 5*t = 244 - 249 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -117*c**2 - 254 - 247 + 501. Let x(d) = -d. What is t(x(b))?\nAnswer: -117*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + 0 + 0)*0. Let c = r - -3. Find the third derivative of 0*p**2 + p**3 + p**c - p**2 wrt p.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 434 is divided by 291?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5081519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-56)\/35)\/(1\/5). Let h(t) = 2*t**2 + 10*t - 5. Is h(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j**3 + 13*j**3 + 2 - 159*j**2 + 147*j**2 - 2.\nAnswer: 16*j**3 - 12*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 - 5 - 3 + 0 + 2 + (3 + 1 - 3)*(3 - 3 - 2))*(-3*c + 4*c - 2*c).\nAnswer: 10*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -2*g + 56. Let v = -119 - -127. Let p(s) = -s**3 + 8*s**2 + 6*s + 19. Calculate the remainder when p(v) is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8\/5)\/(2\/5). Suppose -n + 25 = c*n. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02255 to three decimal places.\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**4\/2 + 400*u**3 + 79599*u**2 - 160400*u + 160801\/2 = 0. Calculate u.\nAnswer: -401, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -3466*n**2 + 10*n - 21. Let i be o(-15). Let j be (-7 - i\/3)*-17. What is j rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -3*i**3 - 2*i + 3. Let t(c) = -4*c**3 - 2*c + 2. Let f(p) = -4*n(p) + 6*t(p). Find the second derivative of f(s) wrt s.\nAnswer: -72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4\/(-28)*-48*259?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 81\/36 + (-6)\/(-8) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 33390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2 + 10145*x - 20286.\nAnswer: -(x - 10143)*(x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of 17*a**5\/20 + 45*a**2 + 2. Let y(j) = -5*j**2. Give z(y(d)).\nAnswer: 1275*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-3 - (3 - 2 - 0)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2395376*q + 0 + 18*q**2 - 1 - 2395301*q to the form v + x*q + l*q**2 and give l.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-6 - -1) + -3 + 11 + -8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - 16*z**2 - 38*z + 5. Let x be h(18). Let i = x + -5. Let f = 54 + i. Calculate the remainder when 46 is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37769 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 100 and 13260?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a kilometer in centimeters?\nAnswer: 87500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = 5*g + 32. Let p = g + 27. Suppose -p + 0 = 3*t. Sort -0.2, -2\/13, t in descending order.\nAnswer: -2\/13, -0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-41 - -56) + (-2 - 33).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1880.\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r + 1. Let z(j) = j**2 - j - 7. Let i be z(3). Let u be g(i). Put -3, 23, 5, u in decreasing order.\nAnswer: 23, 5, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -3*o**3 + 143*o**2 + 220*o - 261. Calculate r(49).\nAnswer: 915","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 154 = 8. Let t be 111\/(-4) + (-4 - 76\/(-16)). Let m = q + t. Is 9 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 3) in base 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37 - 8. Is 19 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 14) in base 2?\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 3*u**3 - 2*u**2 - u - 1. Let s be c(3). Let d = -42 + s. Solve 2*v + 0 = -q + 7, v - 4*q = d for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of (-7724)\/(-9) + ((-8)\/36 - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2096\/(-63) + (-2)\/7. Let q = p + 3163\/72. Suppose -20 = -6*c + 2*c. Find the common denominator of q and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 - 3*h**2 - 1. Let l be c(-3). Let r(m) = -3*m - 1. Let i be r(l). What is the third derivative of 4*j**2 + j**3 + 2*j**i - 4*j**2 wrt j?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 3*k + 0*k = 307, 0 = -3*t - k + 227. Let d = t + -526\/7. Let w(a) = -a**2 - 6*a + 2. Let u be w(-6). Which is greater: u or d?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4273?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of 2*w**7\/147 - 74*w**6\/105 + 239*w**5\/35 + 1873*w**4\/21 + 320*w**3 + 504*w**2 - 115*w - 27. Find i such that s(i) = 0.\nAnswer: -2, -1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 18.0975?\nAnswer: -18.0975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s**2 + 2*s**2 - 514*s + 514*s.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - (-5 - 3\/(-3)). Let z(o) = -o**3 + 9*o**2 - 6*o + 7. Let b be z(8). Suppose 0 = k - 6*k + d, -2*k = -5*d - b. Sort k, t, 5 in decreasing order.\nAnswer: 5, t, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -4*c**2\/7 + 2292*c\/7 - 207920\/7 = 0.\nAnswer: 113, 460","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.082, -0.4, 1.25, 1, -178 in increasing order.\nAnswer: -178, -0.4, -0.082, 1, 1.25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*d**2 - 30*d**2 - 7*d**2)*(1114 - 3822*d - 560 - 554) to the form f*d + c*d**2 + r + q*d**3 and give q.\nAnswer: 110838","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 28193 (base 11) in base 10?\nAnswer: 40153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d + 6123 - 1179 = 0. Let v = -297 - d. What is the hundreds digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.3, 1\/22, -0.002?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/7)\/n)**(-26)*(n\/n**(1\/26))**(2\/9) assuming n is positive.\nAnswer: n**(27553\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.046 + -0.04600485. What is o rounded to 7 dps?\nAnswer: -0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5350 and 550.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 PM and 3:35 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7 + 1)*5\/(-55). Which is the second smallest value? (a) 2 (b) f (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82490 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 greater than or equal to -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 10. Let a be 4678\/13 + 4\/26. Suppose -5*u = -0*u - a. Calculate the highest common divisor of u and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -492, 2 in decreasing order.\nAnswer: 2, -6, -492","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -1. Let f(k) = -6*k - 30. What is -60*b(o) + 2*f(o)?\nAnswer: -12*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 27098540 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.015 rounded to 0 dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 71 - 39. What is the remainder when 125 is divided by y?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - 8*y**2 + 7*y + 3. Let w be x(7). What is the second derivative of -4*p**4 - 9*p - 4*p**4 - w*p**4 wrt p?\nAnswer: -132*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of -18*g**5\/5 - 8*g**4 + 8*g**3\/3 + 26. Solve c(q) = 0 for q.\nAnswer: -2, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - -424)*(-16 - -15). Let k = l + 427. Solve -k + 7 = -c - 3*p, 0 = -2*c - 2*p - 6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 331, -1, -2, -5 in increasing order.\nAnswer: -5, -2, -1, 0.2, 331","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -2*s - 1 - 42, 5*p = -2*s + 61. Calculate the remainder when p is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 2)*(-3 - 2*h + 3) + (4 - 1 - 2)*(2*h + h - 4*h) + 4*h + 14 - 14 + (-2*h - 2*h + 3*h)*(6 - 5 - 8) - 5*h + h + 2*h.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1*4 - (11 + -65).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 127 + -133. Let r(x) = -3*x**3 + 2*x**2 + 25*x + 8. What is the units digit of r(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {y: 1, p: 1, q: 2, i: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -15, 2, 47.\nAnswer: -15, 2, 3, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert a905 (base 14) to base 8.\nAnswer: 71031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = 4*v + 16, u + 20 = -4*v + 22 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 39850525 divided by 278675\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -5*n**2 - 6*n + 4*n**3 - 5*n**3 + 2 + n. Let a be b(-4). What is the greatest common divisor of 1 and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12453224.\nAnswer: 2, 7, 222379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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 k(v) = 11*v**2 - 44*v + 18. What is k(3)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39, -37, -37, -39, -43, -49?\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 7*s = 8*s - 3, -2*s = -3*u - 4. Calculate the least common multiple of u and 257.\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6528346 greater than or equal to -6528346?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 2 d when four letters picked without replacement from {w: 5, d: 4, u: 3}.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.8776 to one dp.\nAnswer: -16.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 4*p - 3114, 2*f + 8*p - 6*p - 3138 = 0. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14137 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s. Let x(j) be the second derivative of 0 + 7\/6*j**3 - 9*j + 0*j**2. What is x(f(n))?\nAnswer: 7*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1824 and 2052?\nAnswer: 16416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.02 - 0.12. Which is the closest to 0.1? (a) -3 (b) u (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58451?\nAnswer: 58451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 78829758 and 446701962.\nAnswer: 1340105886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1033283, -2066556, -3099829?\nAnswer: -4133102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**23)\/(y**7\/y)*(y**(-1\/6))**44 assuming y is positive.\nAnswer: y**(-106\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2459 = -15*w - 2609 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-1*sqrt(228)*-2)\/((sqrt(768) + sqrt(768)*3)*-2) + 0.\nAnswer: 3*sqrt(19)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(441)\/sqrt(7))\/sqrt(9).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1176*w**4 + 939099*w**3 + 50333313*w**2 + 28531800*w + 4065012 = 0. Calculate w.\nAnswer: -399\/8, -2\/7, 849","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 c when three letters picked without replacement from uhuuuuchuhhhucu?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 38810301 a multiple of 519?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) + 3*(sqrt(84) - sqrt(84)*1))\/sqrt(7))\/(sqrt(12)\/(sqrt(3) - (sqrt(432) - (sqrt(432)*2 + sqrt(432)))))*1.\nAnswer: 25*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y + 6. List the prime factors of k(-6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17688149329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2352 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: Collect the terms in 7*b**2 - 22*b - 15*b**2 + 5*b**2.\nAnswer: -3*b**2 - 22*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 3*d - 2. Let o be t(2). Suppose 92 = o*w - 0*w. Suppose 2*u - w = 29. Is u a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*w**3 + 10*w**2 - 58*w**3 + 32*w**3 + (2*w**2 - 3*w + 3*w)*(0*w - 5*w + 3*w) as z + x*w**2 + o*w + k*w**3 and give k.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of 0*w**2 - 1\/6*w**4 + 1\/30*w**6 + 0*w**3 + w + 0 + 1\/20*w**5. What is z in s(z) = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(931) + sqrt(19) + (sqrt(152)*3)\/sqrt(8))**2 - ((-1*sqrt(76) - sqrt(76))*3)\/(2*sqrt(100)).\nAnswer: -327*sqrt(19)\/5 + 2308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -3. Let w = 0.07 - m. Round w to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 d when four letters picked without replacement from {f: 9, l: 3, d: 7}?\nAnswer: 49\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.303 + -39.497. Let k = n + 40. Let o = 3 + -7. Which is the biggest value? (a) 1 (b) k (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 20 = -5*i, 0 = -n + 2*i - 7*i + 5. Solve -15 = -4*r - r + 5*z, -3*r + n = -z for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16208536*n**3*x**3 - 25291170*x**3 wrt n?\nAnswer: 48625608*n**2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/70*(-390)\/(-117)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -10. Let p = 8 + n. Is 7 >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i - 5. Let z be s(6). Let d be (3\/4)\/((-1)\/8). Let p = -5 - d. What is the greatest common divisor of z and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 - -29. Suppose -196 = -d*c + 6*c. Let r = -68 + c. Does 15 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.31 + -0.31. What is the third biggest value in -2, s, 3\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 a when two letters picked without replacement from {n: 1, v: 1, a: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 489.9917um to centimeters.\nAnswer: 0.04899917","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 6:43 AM?\nAnswer: 8:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -84*g + 1094. Let o be y(13). Let r(z) be the second derivative of 1\/10*z**5 + 1\/2*z**4 + 0 - 4*z**o - 34*z + 0*z**3. Factor r(c).\nAnswer: 2*(c - 1)*(c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 - 10*c - 14. Suppose 0 = 191*t - 190*t + 8. Let y be w(t). Solve -8*k + y*k = -4*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 4*n + 26, -4*n + 4 = -4*c - 7*n. Suppose -c*p + 3 = -1. Suppose -8 = -5*q + p. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-4)\/16*(-10)\/6.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a. Let c be 0 - -8*(-1 - 0). Let b = 1 + c. What is the units digit of l(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42459960409 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20*g**3*r**3 + g**3*r**2 + 3032*g**3*r - g**2*r**2 + 508*g*r**3 wrt r.\nAnswer: 120*g**3 + 3048*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -434 + 436. Suppose -5*k + k - f + 26 = 0, -k - 3*f = -12. Calculate the remainder when k is divided by y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 2 = 4*u, -3*u = -2*u + 3*f - 8. Let v(l) = -l**3 - 2*l + 3. Let b be v(-3). Suppose 3*g = -3*n + b, 2 = 3*g - 4. Solve -u*x - n = 3*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -134113, 25, -4 in descending order.\nAnswer: 25, -4, -134113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -n**3*x**2 + 3*n**3 - 42*n**2*x**2 + 418*n*x**2 wrt n.\nAnswer: -6*n*x**2 + 18*n - 84*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*r**3 - 15*r**3 - 24*r**3 + (3*r**2 + 0*r**2 - 2*r**2)*(r + 2 - 2))*(r**2 - 3*r**2 + r**2)*(-3 + 0 - 1 + (6 + 1 + 0)*(3 - 4 + 3)).\nAnswer: 310*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-18\/13))**(-43))**(-20))**(-29) assuming q is positive.\nAnswer: q**(448920\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Divide 584 by 146.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1112322 + 20303?\nAnswer: -1032013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 9, 6, 9, 24, 57, 114?\n\"Answer: z**3 - 3*z**2 - z + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*t - 25 = 23 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8 + v**2 + 8 + 3*v**2 - 2*v**2 - 3*v**2 + (0*v**2 - 3*v**2 + 4*v**2)*(0 + 2 - 1) + 6*v**2 - 3*v**2 + 0*v**2.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -8902627.23 to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(95) - (sqrt(95) + 4*sqrt(95)*-1) - sqrt(95))\/(3*sqrt(125) - sqrt(125) - sqrt(125) - sqrt(5)).\nAnswer: 9*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-5) - (-24)\/60)\/(2*47\/3572)?\nAnswer: -76\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/143, 0.7, 2\/13 in ascending order.\nAnswer: -3\/143, 2\/13, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*n - 3. Let x(k) = 23*k**2 - k. What is the tens digit of x(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 2*k**2 + 2*k + 5. Let v be j(3). Suppose -2*b = 2*c - 7*b + 11, 1 = v*c - b. Let z be 1 - c - (4\/(-4) + -4). Solve 0 = 3*y - z*y + 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 10*r**2 - 6*r - 6. Let u(o) = -o**2 + o + 1. Suppose 0 = v + 60 - 20. Let d = v - -46. Calculate d*u(l) + k(l).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/119 - -8*(-50)\/(-935).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27876600 and 476.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -53, -7, -3, 3.\nAnswer: -53, -7, -3, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 11*f - 8. Let n(m) be the third derivative of -3*m + 0*m**4 + 0*m**3 - 1\/30*m**5 + 0 + 11*m**2. Calculate n(r(q)).\nAnswer: -242*q**2 + 352*q - 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -12*c - 85. Determine u(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/(-6))\/(8\/84). Suppose -f + c = -3. Calculate the highest common factor of f and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 12 - 7 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 421*n**3 - 115*n - 81*n**3 + 115*n.\nAnswer: 340*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + 20*q**2 - 14*q - 6. Let d be t(-14). Suppose -5*g - 4*l = -9*l - 1710, 4*g - 2*l - d = 0. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -941 - 58?\nAnswer: -999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - 186?\nAnswer: -183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -37445.1976 to the nearest 1000.\nAnswer: -37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.127057595 to four decimal places.\nAnswer: -2.1271","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -6\/17, -6\/7, 0.1, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + (3 - 4 - -2). Suppose -y - y - 8 = 0. Let r be (2 - s)\/(y\/(-8)). Solve q - i - 4*i - 25 = 0, 0 = -q + r*i + 20 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.0601779 from -24379020.8.\nAnswer: -24379020.7398221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.1, -8\/7, 51 in descending order.\nAnswer: 51, -0.1, -8\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*j - 30*j = 72. Suppose -j*w + 21*w = 711. Find the common denominator of (w\/(-60) - 4)*-86 and 23\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -422 - 138 = -34*m + 6*m for m.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*p - 4791 = -4128 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17447\/4905 + 550\/109. Let q = f + -8\/5. Let h = 0.01853 - 0.21853. Sort h, 1\/5, q in decreasing order.\nAnswer: 1\/5, q, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8254886, 8254886, 8254884, 8254880, 8254874, 8254866?\n\"Answer: -q**2 + 3*q + 8254884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 5*x - 3, 3*x - 5 = -3*o + x. What are the prime factors of -2*o\/((-3)\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 divided by 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3012463363 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + 3*s - s)*(0 + 0 - 2*s**2) + 4*s**2 - 2*s**3 - 4*s**2 + (2 - 3 + 3)*(-3*s + s - 3*s)*(-4*s**2 + 2*s**2 + s**2).\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -13674, -27317, -40962, -54609, -68258, -81909, -95562?\n\"Answer: -p**2 - 13640*p - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 4*u + 180, 0*s + 4*s - u - 240 = 0. Let a = -77 - -97. Calculate the highest common divisor of s and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 AM and 5:22 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of 468*c**3 + 135*c**2 - 3013*c. Differentiate m(z) wrt z.\nAnswer: 2808","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(2*sqrt(84) + sqrt(84)))\/((sqrt(3)*-2 + sqrt(3))*4 + sqrt(3) - sqrt(3)))\/(-1*sqrt(64) - (sqrt(4) + (sqrt(24) + sqrt(1536))\/sqrt(6))).\nAnswer: 9*sqrt(7)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17306\/30 + (-26)\/(-195)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2200*x**4 + 2321 wrt x?\nAnswer: 8800*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1707784*g**5 + 1007182*g**2.\nAnswer: -102467040*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -4727.4 to the nearest ten.\nAnswer: -4730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1816 is divided by 905.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 233299996 = -0*t + 2*t, 3*t = 2*r + 93319994. What is r rounded to the nearest 1000000?\nAnswer: -47000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76.71 + 0.2806.\nAnswer: 76.9906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 180126?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c + 15. Let d be p(7). Let b(m) = 7*m - d*m + 3 - 4 - 3. What is b(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ixadddc. What is prob of sequence iadx?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 25.92? (a) -1 (b) -282.2 (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 1:52 AM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2249, -2254, -2261, -2270?\n\"Answer: -a**2 - 2*a - 2246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7, 0.1, 1\/166?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 1. Let t(k) = -24*k - 3 + 22*k + 1. Let i = 0 - -1. Let s be (-1 + 3)*(-2 + i). Determine s*x(g) - t(g).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 1009 (c) -4 (d) -14 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-340)\/(-25))\/(1\/600). Round m to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 - 26*l**2 - 30*l - 143. Determine r(27).\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 33 - 11641*j**2 - 1899*j**2 + 157 - 190 in the form h + f*j**2 + t*j and give f.\nAnswer: -13540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-135)\/8)\/(-15)*(-3)\/9?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -4*y**2 - 4*y - 7. Determine l(-3).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1684946 and 22.\nAnswer: 18534406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1580959 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 359264\/(-19184) + (-38)\/(-2)\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -3*x - x, -5*n + 5*x = -75. Let m = 175 + -116. Calculate the remainder when m is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of -a**5\/60 - 7*a**4\/24 + 47*a**3\/6 + 2*a**2 - 34. Let s be d(-11). Solve -s*g - 10 = -1 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2 + 4430*r - 4432.\nAnswer: 2*(r - 1)*(r + 2216)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 - 22*z - 67. Suppose 5*c = 4*c + 4*x - 8, -2*c - x = 25. What is the remainder when o(c) is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/4 (b) -2\/5 (c) 2\/7 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 1\/11 (c) 145\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 2735642\nAnswer: 5\/2735642","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 211*h - 550. Calculate g(3).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*u - 2)*(1 - 1 + u**2) - 66631*u**3 + 36599*u**3 + 40792*u**3.\nAnswer: 10762*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3531952.\nAnswer: 2, 220747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -z, 3*w - 11*z = -13*z - 5. Which is smaller: 41\/70 or w?\nAnswer: 41\/70","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 405551?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 40*s**3 - 173*s**3 - 12883*s**2 + 12889*s**2 as l + q*s**2 + x*s**3 + f*s and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20752, 20755, 20758, 20761, 20764, 20767?\nAnswer: 20770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 5:40 AM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/(-3))\/(2\/(-4)). Let t = 36 + -38. Let m = 0.0412 - 3.0412. What is the second biggest value in m, t, l?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.6 - 0.4. Suppose 2*f = -2*k + 6, -3*k = 3*f - 8*f - 1. Which is the closest to t? (a) -0.5 (b) -1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -39*v**5 - 5*v**4 + 28*v**2 + 1078*v - 5.\nAnswer: -780*v**3 - 60*v**2 + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 28 - (-2 + 6\/3). Suppose 5*l - m - 220 = 0, -n = -l + 6*m - 9*m. Let j(h) = 10*h - l*h - 14*h. Let y(w) = -w**2. Calculate j(y(c)).\nAnswer: 47*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5\/10 - 1)*-10. Suppose 3*a - 2 = i*a. Is a - 7\/(21\/(-234)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/48)\/(4\/112)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1340906 and 0.1?\nAnswer: 134090.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -205, -1560, -3833, -7036, -11181, -16280, -22345, -29388?\nAnswer: -37421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42707 is divided by 17183?\nAnswer: 8341","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 2797954073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -5598\nAnswer: 1\/1866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 105 - (-3 + 8 + -8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4503440?\nAnswer: 2, 5, 41, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 127.117 take away -469851?\nAnswer: 469978.117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 60015.27943 rounded to the nearest one thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**3*j)\/(j\/j**6)*(j**(2\/13)*j)\/(j*((j**(1\/7)*j)\/j*j*j)\/j) assuming j is positive.\nAnswer: j**(729\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000454 rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-30)*95\/(-494).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 217746556.\nAnswer: 2, 647, 84137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 2331518.99 to the nearest 10000.\nAnswer: 2330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -2*y**3\/21 - 223514*y**2\/21 - 446972*y\/3 = 0.\nAnswer: -111743, -14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-567)\/(-135)*55\/33\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 195928 = -2*c, 0 = 7*n - 2*n + 2*c - 244907. What is the thousands digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 4*x + 57 - 11, -69 = -3*o + 5*x. Suppose 0 = -o*s - 28 - 64. Which is smaller: s or 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of -571*l**5\/20 - 427*l**2\/2 + 475*l. What is the derivative of x(w) wrt w?\nAnswer: -1713*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -50, -142, -322, -620, -1066, -1690, -2522?\nAnswer: -3592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s - 112 = 98. Is (1\/3)\/(s\/(-473865)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -10, -18, -26?\n\"Answer: -8*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 170*r**2 - 521*r + 7. What is the hundreds digit of n(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2461 - 1661. What is the hundreds digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 8 = -9*a + 4*w, 2*w + 4 = 0. Let r = -155\/4 - -39. Is r <= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-18)\/(-12))\/((-1)\/(-2)). Suppose 0*b - 6 = -i*b. What is o in o**4 - b*o + 5*o**4 + o**2 - 9*o**4 + 2*o**4 + 2*o**3 = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssssessisisiesss. What is prob of sequence iss?\nAnswer: 33\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 23529 and 330?\nAnswer: 235290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6 + -8 + 5\/1. Differentiate 6 + t*f**2 - 2 + 6 - f**2 with respect to f.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11376503 take away -19052.37?\nAnswer: -11357450.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(56)\/(-2*sqrt(8)*2 + sqrt(8)).\nAnswer: -sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/15, -39, 2\/19, -2\/3, -0.51, -957\/7?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 135215281 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 35547545 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of -a**7\/14 + 48*a**6\/5 - 57*a**5\/4 - 1245*a. Find w, given that r(w) = 0.\nAnswer: 0, 1, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 g, and 2 u when four letters picked without replacement from uuxtthuxxtthgthxb?\nAnswer: 9\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*o**3 + 99*o**4 - 35*o**4 - 27*o**3 + (o**2 + o**3 - o**2)*(0 + 2*o + 0))*(-5 + 5 + 1).\nAnswer: 66*o**4 - o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 347440.4067742 - 347889.4068. Let w = 449 + m. Round w to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2304) + 2*-1*sqrt(2304))\/(sqrt(1452) + sqrt(1452)*2 + -4*sqrt(48)\/sqrt(4)))**2.\nAnswer: 192\/841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**2\/6 - 5220322*x\/3 + 13625880891842\/3 = 0. Calculate x.\nAnswer: 5220322","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.1 minus 1780608?\nAnswer: -1780635.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2319862?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 + 116*a**2 - 65*a**3 - 130*a**2 + 65*a - 3*a**4 - 2*a**4 - 41*a**2 = 0. Calculate a.\nAnswer: -12, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2. Let n(c) = -5398*c. Give i(n(j)).\nAnswer: 29138404*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 4*g + 33. Suppose 3*q + 4*a - 30 = 0, -2*q = -a + 3*a - 18. Let k be z(q). Let h = k - 57. Solve -19 = y - 5*o, h = 4*y - 3*o + 2*o + 19 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 312106 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: Suppose 0 = t + 5*o - 716, 0 = t + 2*o - 809 + 96. Suppose 0 = x - 2*j - 12, 4*j = -5*x - 0*j - 10. Suppose t = 5*b - x*b. What are the prime factors of b?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19802 + 19802 + 16*q.\nAnswer: 16*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*((-5)\/(-3))\/1. Suppose 5 + d = -5*y. What is the second biggest value in 0.4, 1\/7, y?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12 - 0)\/(4*(-8)\/32). Solve h - c*h = 11 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 PM and 9:58 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 338 or -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29385 + 29382. What is the biggest value in 0, -4, l, -1\/4, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-152))\/((-16)\/64)*-1*20\/(-8)?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 22 = -2*i, -35*t + 3*i = -94*t + 64*t - 45 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (15\/(-20))\/(7\/(-1528)). Let n = a + -164. Let c = 6 - 6.2. Are n and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 46 = 5*j - 35, 2*v - 4*j - 54 = 0. Suppose -v*k + 35*k - 6 = 0. What is the remainder when 19 is divided by 8\/3 - (-1)\/k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3904.909 millilitres in litres?\nAnswer: 3.904909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1187439 by 1187439.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1312704928 smaller than -1312704929?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 632.9 in -5, -2\/3, 15, 0.5, 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttttttttttttftttttf. What is prob of picking 2 t and 2 f?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2240 + -5004?\nAnswer: -2434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -189 - -82. Let k = a + 17. Which is greater: -89 or k?\nAnswer: -89","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1905*v + 25204*v + 10071*v as d + l*v and give l.\nAnswer: 33370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 + 1)*(-6)\/9. Suppose -n*y - 56 = -474. Let p = 40 + -21. Calculate the greatest common factor of p and y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 188616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 x when three letters picked without replacement from gxvggxxgxvxxxgxxxxg.\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 3917491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7302*y - 2022*y - 380160 for y.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 263041?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14702 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 3*q - 4*m - 17, -2*q + 2 = 2*m. Suppose 0 = w - 2*h - q*h + 6, -w - 3*h = -18. What is the greatest common divisor of 45 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/40*-18 - (-8 - -2).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18*j**3 - 2300*j**2*o**2 + j*o - 25449*o**2 wrt j.\nAnswer: -108*j - 4600*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-153366)\/(-9) - (9 - 155\/15). Let q = -10273 + c. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 365 in increasing order.\nAnswer: -1, 1, 365","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -346, -836, -1638, -2734, -4106?\n\"Answer: 3*t**3 - 174*t**2 + 11*t - 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**2 + 53*q + 335. Let d be m(-16). Let i(a) = 123*a**3 - 4*a - 2. What is i(d)?\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-80*t - 55*t - 787*t - 555*t)*((3*t - t - t)*(1 - 4 + 5) + 0 + 2*t + 0).\nAnswer: -5908*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 2*l - y - 6, -4*l - 5*y = -48. Let v = -3 - -13. Suppose 13 = v*a - 9*a. Solve -4*t - l = 5, -t - a = 2*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 24*v - 72*v + 1 + 27*v + 23*v - v**3 + 3. What is m(-3)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15 - 4*i**2 - 6 + i - 3*i**3 - 9 in the form t*i**3 + y*i + r + a*i**2 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60\/1040*130\/(-15)*8\/14.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5221, -4278, -1775, 3068, 11031?\n\"Answer: 130*g**3 + 33*g - 5384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 48\/1007 and 173\/798?\nAnswer: 42294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 51277273?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -7. Suppose q*t = 6, 3*r - 3*t + t + 6 = 0. Which is smaller: -2 or r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12824106 and 102.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**4 + 8*l**3 - l**4 + 19*l**3 + l**4 - l**2 to r*l + b + u*l**2 + c*l**4 + n*l**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6425*p**2 + 3268*p**2 + 3188*p**2.\nAnswer: 31*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is e4360 (base 15) in base 14?\nAnswer: 14b6bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -12100 and 0.\nAnswer: -12100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.055 in 2\/3, 2, 61, 3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -3*x + 7. Let d(f) be the third derivative of -f**4\/12 + f**3 - f**2. Let j be 4*63\/(-56)*4\/(-3). What is j*d(v) - 5*u(v)?\nAnswer: 3*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzqzzzqjzyygy. What is prob of picking 1 j and 1 g?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 24\/49 and -29\/28?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mze when three letters picked without replacement from fwfffejzmzfz.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160 is divided by 125.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l\/l**(-30))*l\/(l*(l**26\/l)\/l)*l**(5\/7)\/l**6 assuming l is positive.\nAnswer: l**(-415\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -1\/4, -0.2, 6, -9, 4, -0.013?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/2, 1\/7, -3\/8, -0.062?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 340149 is divided by 779?\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -88 + 29 + 7 + 17?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 25, 7, -4 in ascending order.\nAnswer: -21, -4, 7, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 5*s - 31, 4*s - 10 = 3*c + 1. Let v(z) be the second derivative of -1\/3*z**4 - 18*z + 8\/3*z**c + 0*z**2 + 0. Factor v(q).\nAnswer: -4*q*(q - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.1 and -103?\nAnswer: -113.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**5 - 12*b**4 + 17*b**3 + 186*b**2 + 308*b + 156. Let v(d) = -d**5 + 2*d**4 - 7*d**2 + 2. Let x(n) = 3*r(n) + 6*v(n). Solve x(z) = 0.\nAnswer: -8, -2, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56561578 is divided by 2081.\nAnswer: 2079","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 7*b + 3. Suppose g = -4*j + 6*g - 45, g - 10 = j. Let i(l) = 8*l + 3. Determine j*i(z) + 6*v(z).\nAnswer: 2*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97435 = -7064*h + 248701 for h.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a179 - 108?\nAnswer: a071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 196*2002\/7546*(0 + (-6)\/(-8))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 749216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 49, 75, 101?\n\"Answer: 26*q + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 a, and 2 j when four letters picked without replacement from {o: 5, a: 2, q: 7, m: 1, k: 2, j: 3}.\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -569*z + 72875 = 249*z + 507*z for z.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3 + 0. Let l = 0.4 - w. Suppose -4*y + 9*t = 12*t + 32, 3*y - 4*t = 1. What is the second biggest value in l, -2, y?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/(-8)*1*(342720\/450)\/119?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -545121121 - -1845.\nAnswer: -545119276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hl when two letters picked without replacement from {l: 1, w: 1, h: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104173 is divided by 4526.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8022 + 8178. Calculate the greatest common divisor of i and 276.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 45 = 4*o + 59, -4*r + 30 = -3*o. Which is the closest to o? (a) 69 (b) -3 (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 21 + 2 = -3*a, 2*z = 3*a - 29. Suppose -3*r + 0*w = -3*w - 165, 2*r + 2*w - 110 = 0. Calculate the common denominator of (-6)\/z - 283\/r and -1\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5335 at least as big as -5335?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 2 - ((-3 - -8) + -5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*75\/(-15)*(-1)\/5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2127 is divided by 414.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3036 and 88318?\nAnswer: 134066724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -53 - 22*l**5 + 15 + 20 + 333*l**2 + 18 wrt l?\nAnswer: -1320*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 - -23. Let b = 2194 - 2176. Calculate the remainder when b is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaymmaymmmy. Give prob of picking 1 y, 2 a, and 1 m.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s + 0 + 0 + (4 - 2 + 2)*(3*s - 5*s - 3*s).\nAnswer: -22*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000065024 to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -62*m - 16. Let c(u) = 213*u + 48. Let j(w) = -2*c(w) - 7*d(w). What is j(2)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 902*-0.446\nAnswer: -402.292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 841.3323 minutes in milliseconds?\nAnswer: 50479938","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-22)\/(-66))\/(1*(-1)\/2)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 799 and 1136554.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.31291 rounded to zero decimal places?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {n: 12, o: 1}.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.49 - 0.89. What is the closest to 1\/2 in r, 4\/11, 1?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -208 + 334. What are the prime factors of r?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -107\/5 - -21. Let p = -733 + 737. What is the fourth biggest value in 2\/15, 0, p, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.253 - 133.253. Let c = x - -54. Let d = c + 79.037. What is d rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 14) to base 7\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_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: Rearrange -3 + 631*f**2 - 55*f - 630*f**2 + 1 to the form d*f + k*f**2 + q and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -235105.985 * 5\nAnswer: -1175529.925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -n + 3, 8 - 3 = -4*m + n. Let w = -143 + 106. Let r = w + 32. Sort 3, m, r in increasing order.\nAnswer: r, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -1 + sqrt(52) + sqrt(3328) + 2.\nAnswer: -4 + 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-1053)\/567*1\/1*(-189)\/(-54)\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 - q**2. Let n(d) = 2*d**3 - 2*d**2 + d. What is 4*h(u) - 3*n(u)?\nAnswer: -2*u**3 + 2*u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4649601 and 99?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 - 3*h - 1. Let y(t) = t**3 + 130*t**2 - 159*t - 7. Let c(x) = 28*s(x) - 4*y(x). Factor c(b).\nAnswer: -4*b*(b - 1)*(b + 138)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 + 2*p + 11. Let v be y(4). Let n be -29 + 37 + (-18)\/v. What is d in -18\/11*d - 10\/11*d**n + 4\/11 = 0?\nAnswer: -2, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 PM and 10:10 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 43 and 11943.\nAnswer: 513549","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000000192 to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 31627439 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 722.501 kilometers in meters?\nAnswer: 722501","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.05689 + 3074.05689. Let r = 3073.99993665 - x. What is r rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 141*k + 13. Is 7 a factor of m(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 7, h: 1, f: 2}. Give prob of sequence tff.\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 5*p**2. Let m(l) = l - l**2 - 9*l + 8*l. Determine s(m(o)).\nAnswer: 5*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -483*q*v**4 + 505*q + 5*v**2 - 1 wrt v.\nAnswer: -1932*q*v**3 + 10*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -289 - -37668. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 531*f - 45 + 531 = 45*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 31 - 9\/(9\/4) and 3.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -13*d - 4. Let k(u) = 3*u + 1. Let c(v) = -9*k(v) - 2*y(v). Give c(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7000 and 3875?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1755981 rounded to four dps?\nAnswer: -0.1756","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 75651329 and 507.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11166 by -29.\nAnswer: 11166\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 42 + -60. Let i = -11 - h. List the prime factors of (-4)\/(-14) + 33\/i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -89, -599270, 1 in decreasing order.\nAnswer: 1, -89, -599270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 360 and 80?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*k**2 + 2*k**2 - 2*k**2)*(23*k**2 + 7*k**2 - 5*k**2 + (3*k + 0*k - k)*(-4*k + 3*k + 2*k)) in the form q*k**2 + z + l*k**3 + a*k + n*k**4 and give n.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -3063792.02 to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**10\/(l**(2\/9)*l))\/((l**(-6)*l)\/((l**(-1\/7)*l)\/l)) assuming l is positive.\nAnswer: l**(859\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 + -362.\nAnswer: -361.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, r: 5, z: 2}. What is prob of picking 1 z and 1 k?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/2)\/(((-20)\/(-32))\/5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5841\/14 + 417. Do 1 and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (36\/10)\/(12\/80). What is the highest common divisor of 54 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -77387295 greater than -77387296?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 60*n**2 + 3. Let m(k) = 897*k**2 + 46. Let b(o) = -46*l(o) + 3*m(o). Let c(x) = 4*x. Give c(b(z)).\nAnswer: -276*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iuuv when four letters picked without replacement from {u: 6, v: 8, i: 3}.\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 302 + -320. Let h = g - -20. Let n be (-3)\/(-9)*4\/2. Which is the closest to h? (a) n (b) 2\/7 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41572?\nAnswer: 2, 19, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b**17*b*b)\/b)\/b)\/(b*(b\/(b**(-6\/11)\/b))\/b))\/(b**(23\/3)*(b*b**18)\/b) assuming b is positive.\nAnswer: b**(-370\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -45*b**2 + 59495*b + 8415800.\nAnswer: -5*(b - 1451)*(9*b + 1160)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 493*x + 114 - 46.\nAnswer: -493*x + 65","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177349 is divided by 17734.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3891 - 3889. Solve -5*h = 2*o + 98 - 83, 5*o - s*h = 6 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 4*c + 15, 3*l + l = 3*c - 12. Let x be -10*3\/(-6) + c. Let d(u) = -3*u**2 - 5*u + x*u. Let q(k) = -3*k. Calculate q(d(o)).\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/379 - 425\/8717. Let z = -109 + 118. Suppose -5*b - 10 = -z*l + 4*l, -4*b = 8. Which is greater: l or m?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*l**2 - 3495*l + 4230.\nAnswer: -5*(l + 141)*(5*l - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -1\/2 (b) 2 (c) -2\/21 (d) 26\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 - 29. Which is the nearest to -47? (a) -3 (b) z (c) 1 (d) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 20 = -3*f. Suppose -49 = f*j - 9. Let b(l) = l**2 + 10*l + 2. What are the prime factors of b(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42201392?\nAnswer: 2, 2637587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 5)*(-8*s**2 - 13*s**2 + 0*s**2).\nAnswer: 63*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-4)*(-2)\/3. Let m = -202.9811 + -0.0189. Let z = 202.6 + m. Which is the third biggest value? (a) z (b) l (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, c: 1}. What is prob of picking 1 c and 1 b?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -164 + 170. Which is the nearest to 0.2? (a) -1\/4 (b) -0.1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 9*g**3 + 5 + 2*g**3.\nAnswer: -7*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -f - 159, u + 17 = 3*f + 43. Which is smaller: 42 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2189 divided by -102613.\nAnswer: 2189\/102613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.015, 2\/11, 1 in increasing order.\nAnswer: 0.015, 2\/11, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + 0*y - 1 + 0*y)*(-1 - 2 + 2) - 61*y - 60*y + 115*y.\nAnswer: -7*y + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27.60289 - 25.602889. Let x = 3 - 1. Let k = i - x. Round k to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -119.9 + -17.1. Let x = 10146 - 10010.43. Let r = x + y. What is r rounded to 1 decimal place?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -3. Let j(v) = -v**2 + 2. Let a(g) = 2*j(g) + 3*m(g). Let i(q) be the second derivative of -q**4\/6 - 9*q. What is a(i(p))?\nAnswer: -8*p**4 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 67041 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-247)\/(-26) + 351\/26.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4273, 4247, 4221, 4195, 4169?\n\"Answer: -26*f + 4299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 108912\/(-96)*-6*1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -210212021202 (base 3) to base 13\nAnswer: -120b36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -3*h. Let f = 2 + 7. Let b(w) = -13*w. Calculate f*a(z) - 2*b(z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13546 - -4553. List the prime factors of c.\nAnswer: 3, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2316795 and 9265?\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/45935 or -53?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -16126310 to the nearest 100000.\nAnswer: -16100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 471 is divided by 452.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 11\/(77\/(-42)) - -3750. Let o be c\/(-546)*(1 - 57). What is the highest common divisor of 24 and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -38 + 40. Suppose t*u = a + 9, -3 - 8 = -2*u + 3*a. Solve 0 = -d + 3*d + u for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m - 53 = 17. Suppose m*y - 22 = n, 0 = -5*y - 5*n + 4 + 6. Let p be y\/((-4)\/(-3)) - -5. Solve 8*x - 4*x - p = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of -2*l**5 - 4*l + 7. What is the first derivative of h(a) wrt a?\nAnswer: -40*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5.8, -120, -2\/11, -0.8, 0.1 in increasing order.\nAnswer: -120, -0.8, -2\/11, 0.1, 5.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 112 and 2048.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5650*j**2 + 1 - 1856*j**2 - 1940*j**2 - 1853*j**2 - 1.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*m + 395*m - 4001067. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9506 + -9284. What is the remainder when 1309 is divided by v?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -37*w**2 + 26*w**2 + w + 8*w**2 + (5 - 1 - 2)*((2*w + 2*w - 3*w)*(-2*w - w + 4*w) - 1 + 3*w**2 + 1) + (0*w + 0*w + 2*w)*(-5*w + 4*w - 2*w).\nAnswer: -w**2 + w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2181693 is divided by 94855?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*3\/12*6\/(-10)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a gram in milligrams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3487 divided by -317.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add -4.33131 and 0.0004.\nAnswer: -4.33091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4756\/1785 + 44\/17. What is the common denominator of a and 94\/135?\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -51*d**2 - 12*d + 3. Let b(h) = -77*h**2 - 17*h + 4. Let m(p) = -5*b(p) + 7*t(p). Give m(-1).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 3*h - 9. Let g be (6\/h)\/((-2)\/3). Let d(l) = -4*l + 1. List the prime factors of d(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 960182345 to the nearest integer?\nAnswer: 987","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2*x - 3 = 0, 3*s + x = 2*x. Suppose -4*k + 5*z = s, k + k = -4*z + 6. Let w(r) = 36*r - 4. Calculate the remainder when 61 is divided by w(k).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f - 8. Let o = -2 - 5. Let t be d(o). Let c(v) = -8*v + 1. What are the prime factors of c(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(972) + sqrt(972)*2 + 0 - (sqrt(972) + 1 + sqrt(972) + -1 + -3))*4 + -2)**2.\nAnswer: 1440*sqrt(3) + 15652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6618433, 6618432, 6618431, 6618430?\n\"Answer: -a + 6618434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 + 4 - 17*f - 67*f - 39*f**3 + 2*f**2 + 83*f to the form s*f**2 + y*f + v + g*f**3 and give g.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10640 + 48272?\nAnswer: 58912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00040424 to six decimal places.\nAnswer: 0.000404","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 219*l**4 - 236*l**4 - 413*l**4 + (-5*l**4 + 3*l**4 + 0*l**4)*(4 - 1 - 1).\nAnswer: -434*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 20*a**2 - 4*a + 10. Calculate i(3).\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 185175412 and 596?\nAnswer: 596","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - 11*k**2 + 11*k - 10. Let s be q(-12). Let j be (-12)\/(-5) - (-3)\/5. Solve 4*a = -a - j*y - 6, y = 4*a - s for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -29.38 to zero dps.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.269 + -12.769. Let s = 12.488 + d. What is s rounded to 3 decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6698?\nAnswer: 2, 17, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20430588?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34 and 6698.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 14 + 16 = 0. Let n(u) be the third derivative of 0 + 1\/24*u**4 + 0*u**3 - 2*u**g + 0*u + 1\/15*u**5. Calculate n(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h. Let f(d) = 60*d + 35. Let a(q) = -5*q - 3. Let o(p) = 35*a(p) + 3*f(p). What is v(o(k))?\nAnswer: -10*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27033, 27048, 27063, 27078, 27093?\nAnswer: 27108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06, 0.4047, -0.5, -2, 0.2, 0 in descending order.\nAnswer: 0.4047, 0.2, 0.06, 0, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 2*a - 3*a)*(-1 + 51*a + 2 - 49*a).\nAnswer: -6*a**2 - 3*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4ab9 (base 14) in base 9?\nAnswer: -18864","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 75756?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jee when three letters picked without replacement from eexxxxeqjeiii?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 8:57 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-2 - (-1 - (0 + -1))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-5)\/10*0)\/3. Suppose i = 8*d + 61 - 861. Let a be ((-15)\/d)\/(2\/8). What is the biggest value in a, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + -1)\/(2\/(-52)). Suppose 3*j - 25 = m. What is the highest common factor of j and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-4)*((-168)\/22 + 8). Which is greater: c or 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00032223 rounded to 6 dps?\nAnswer: 0.000322","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(54)\/sqrt(3) - sqrt(2)) + (sqrt(72)\/(-1*sqrt(3)))\/sqrt(12).\nAnswer: -2 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-3 + (-9)\/(-2)). What is the units digit of 1\/c*(-5 - 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*b + 18 = -16*b. Let i(z) = 84*z**2 - 44*z**2 - 19*z**b. Let l(h) = -3*h**2. Give i(l(a)).\nAnswer: 189*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 39\/4, -19\/4, -3, -1.9, 1\/2?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 AM and 7:55 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/2, 15, 0.3, -3, -3\/4?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -214565 (base 8) in base 13?\nAnswer: -26a47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2777 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - 10*s**2 - 7*s + 2. Let p be f(-8). Let a = -20 - p. Let h = a + -15. Is h a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2589 = -3*j, 4*j + m - 2495 = 966. What is the remainder when j is divided by 79?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 4*h - 7 + 31, -2 = -w + 5*h. Let j(n) = n**2 + 7*n - 4. Is j(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of 5*o**2 - 5*o - 6. Let v be r(-4). Is 10 a factor of (v\/5)\/(3\/(-27))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 137865 divided by 105.\nAnswer: 1313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -6*v**2 - 13*v - 6. Let q(k) = 8*k**2 + 9*k. Let a(i) = -9*i**2 - 9*i + 1. Let x(u) = 4*a(u) + 5*q(u). Determine -5*g(o) - 7*x(o).\nAnswer: 2*o**2 + 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-7))\/((-756)\/756*(-6)\/9)\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 624 and 14416.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + l. Let v(g) = 2*g**3 - 4*g**2 - 6*g. Let n(r) = -c(r) - v(r). Find b such that n(b) = 0.\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/((6\/3)\/(-48)). Let m be (2 - (-44)\/y) + 0. Let s = 0.1 + -0.1. Put 1, m, s in decreasing order.\nAnswer: 1, m, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a - 8*a - 4*a)*(5 - 5 - 4)*(a**4 + a**3 - a**3).\nAnswer: 36*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 160654 and 57720.\nAnswer: 962","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from vhhvvvyvvvvhvvvvv.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 336191692?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 126\/95, 2\/9, 0.5, -4, -105?\nAnswer: -105","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(245)\/sqrt(5)*6)\/sqrt(700)*6)**2.\nAnswer: 72*sqrt(7)\/5 + 2368\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 164052856*c*y**2 - 184390870*c + y wrt y.\nAnswer: 328105712*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 140251 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (6\/(-10) - (-29089)\/15)*(-1038)\/(-692) is divided by 27?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-30))\/(2924\/3440)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.17 and 49.\nAnswer: 47.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -14\/5, 0, 6, -1\/17, -3\/5?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -934 divided by -259?\nAnswer: 934\/259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -3\/2041?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + 21220?\nAnswer: 21221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 187, 197, 217, 253, 311?\nAnswer: 397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7186 + 7219. Let w = 44 + -26. Calculate the smallest common multiple of c and w.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4414 + 392850\/89. Suppose 4*u + 3*z - 14 = 0, 69*u - 68*u = -z + 5. Is u less than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**9\/(z**1\/z))\/((z*z**(1\/2)\/z*z)\/(z*z*z**(-9))) assuming z is positive.\nAnswer: sqrt(z)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29 - 29 + 28*t)*((-t - 2*t + 8*t)*(-2*t + 5*t + 7*t) + t**2 + 3*t**2 - 2*t**2) + t**2 - 2*t**3 - t**2 + (5*t**2 - 3*t**2 - t**2)*(2 - 2 - t).\nAnswer: 1453*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g + 2*g + 24*g**2 - 22*g**2.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide -111*((-2 - -2)\/4 + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16153127 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*i + 19*i + 79*i)*(-3*i + 0*i + 5*i)*(-5 + 1 + 2).\nAnswer: -508*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 372129743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*z - 5*z - 0*z - 39. Factor -z*k**2 + 12\/7*k + 0 + 6\/7*k**3 + 3\/7*k**4.\nAnswer: 3*k*(k - 1)**2*(k + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 18?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2534904?\nAnswer: 2, 3, 17, 19, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 5*z + 40. Let q be f(11). Suppose 4*g - q = 53. What is the remainder when g is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yjc when three letters picked without replacement from qyzjych?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -48 - -50. What is the smallest common multiple of 13 and c?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45, 30, -3, -60, -147?\nAnswer: -270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that y**4\/2 + 288*y**3 + 8459*y**2\/2 + 12342*y = 0.\nAnswer: -561, -11, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 - 7*q**2 + 5*q + 8. Let p be h(6). Calculate the greatest common factor of 4 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 30 + 159b48?\nAnswer: 159b78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 AM and 7:32 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s**3 + 59*s**2 - 346*s - 327. Give g(21).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 28 = l. Suppose k - l = 11. Solve -z + 6*z - k = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -8*v + 30. Solve -13 = 4*s + v for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -127*v. Let j(s) be the first derivative of s**3 + 223. Give j(p(l)).\nAnswer: 48387*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 2) to base 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 44 - 18. Let l = -167 - -232. Calculate the highest common divisor of l and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 + -1)\/((-11)\/(-22)). Let r = s - -13. Let h = 8 - r. Solve -4*l = -x - x + 18, -2*l = 3*x - h for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 - l**2 + 2*l**2)*(3*l - 6*l + 2*l) + 372 + 58*l**3 - 28*l**3 - 32*l**3.\nAnswer: -4*l**3 + 372","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -4823*u**3 + 6*u**2 + 24*u - 35. Let o be n(-5). What is o rounded to the nearest ten thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 AM and 6:08 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1009829101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43 - 35. Let n(t) = -t**3 + 9*t**2 - 5*t - 15. Calculate the remainder when 79 is divided by n(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of c**6\/20 - 11*c**3\/6 - 5*c. Let d(l) be the second derivative of h(l). Let g(s) = -s**2. What is g(d(u))?\nAnswer: -324*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -35*p + 2. Suppose -29*q + 78 = 10*q. Let b(x) = -4 + 7 - q + 4*x - 1. Give o(b(z)).\nAnswer: -140*z + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 203 and 224.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 + 2. Let j(l) = 1 - 2*l**2 - l**2 + 1 + 2*l**2. Let q(z) = 7*j(z) - 6*o(z). Differentiate q(v) wrt v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 57*i**3 + i + 1. Let w be p(-1). Let f be -1 + 0 - w\/3. Let k(d) = 8*d**2 - d. Let s be k(-1). What is the highest common divisor of f and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12288 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 180 and 828.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/36 + (-66)\/(-18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 4, 3, 0, -2\/13 in descending order.\nAnswer: 4, 3, 0, -2\/13, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 880 is divided by 308?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.064 - -54.064. Let s = 53.9 - x. Let r = -0.01 + 0.31. What is the third smallest value in s, -3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2578410 by 57298.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 6. Suppose n = m*y + 6*n + 14, 0 = y + n + 7. Is (582\/y)\/(-2) - (-24)\/56 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7604?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*t + 32*t - 6. Let u = -6 + 4. Which is the third biggest value? (a) t (b) 3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72943789 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(26)*3)\/(sqrt(18)\/(sqrt(9) - 2*sqrt(9))).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.14 - -0.56. Let g = -9.631 + 9.7. Let l = -0.269 + g. Which is smaller: q or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 12. Let s = -63002\/333 + 6992\/37. Which is the nearest to z? (a) s (b) -3 (c) 1\/2 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 + 1 + 0 + (-567 - -278 - -306)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 - 35\/14*(-1 - 1). Solve -x = w - 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -t - r + 5, 4*t = -2*r + 12. Let a(h) = 4*h**2 - 2*h + 1. Let q be a(t). Suppose 10 = q*b - 2. Solve -4*d = -5*d - b for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15086, 31759, 48432, 65105, 81778?\nAnswer: 98451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - -2a?\nAnswer: 2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1654410211?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 > 18853\/2194?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*(2 + -4)*2\/6. Let l(r) = 28*r**2 - 7*r**2 + 23*r**p. Let t(h) = -14*h - 13*h + 27*h + 2*h**2. Determine t(l(o)).\nAnswer: 3872*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2003922?\nAnswer: 2, 3, 163, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, p: 10, t: 2, e: 3, a: 2}. Give prob of picking 3 p and 1 t.\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - 54) + 37 - -15 - 125?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17754049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x + 8. Let r(q) = -4*q + 11. Let g(w) = -8*w + 21. Let j(d) = 6*g(d) - 13*r(d). Let s(i) = 5*a(i) + 3*j(i). Calculate s(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 305338007.\nAnswer: 13, 23487539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + -9. Suppose s = -5*l - 3*d - 336, 3*l + 4*d - 81 = 4*l. Let u = -69 - l. Solve -4*a + u*a + 8 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -204.540242 + -0.2?\nAnswer: -204.740242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 100853201?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -10, 0.5, -2\/33?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*o - 1 + 1 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -52? (a) -3 (b) -1 (c) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 518\/407*109\/(-10) - 4. Let q = 190\/11 + z. What is the second smallest value in -1\/2, -3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.3179 to 0 decimal places.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -15*f - 5. Suppose 0 = -3*b - 1 - 14. Let d(k) = -14*k - 4. Let z(u) = b*d(u) + 4*c(u). What is the remainder when z(2) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -36*v + 254*v - 89*v - 480 - 71*v + v**2 - 2*v**2 = 0. Calculate v.\nAnswer: 10, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = j - 4*j + 2514, 0 = -2*g - 8. List the prime factors of j - -3*-1*30\/18.\nAnswer: 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -11. Suppose 8 + 0 = 2*w. Let l be 61\/w - (-1)\/i. Calculate the greatest common factor of 3 and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 82, 83, 84, 85, 86?\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 0 + (-1*(sqrt(931)*1 - sqrt(931)) + sqrt(931) - (sqrt(931) + 0 + -1)) + 5 + -1 + -3*sqrt(931))**2.\nAnswer: -294*sqrt(19) + 8428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 881428703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2066*-3\nAnswer: 6198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2495658 is divided by 2655?\nAnswer: 2613","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -583*s + 1755. Give t(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.432 + 4.432. Which is the second smallest value? (a) -5 (b) 12 (c) 16 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of 6*y**7\/7 - y**3 - 9. Find the third derivative of d(w) wrt w.\nAnswer: 720*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 4, 261 in decreasing order.\nAnswer: 261, 4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1 (b) -84 (c) 0.3 (d) -2\/7 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39600 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/16)\/(6*(-84)\/144)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != 228\/1193?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 10*h - 1. Let p(t) = -9*t + 1. Let o be (-152)\/28 - (-8)\/(-14). Determine o*z(x) - 7*p(x).\nAnswer: 3*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 337892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -687*w**3 + 733*w**3 - 2 + 1.\nAnswer: 46*w**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + (-53 - -31 - -19).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3503 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -156 - -155. Let f be c*(-2)\/6 - 34\/66. What is the closest to 0 in 5, f, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1854, -1852, -1850, -1848?\n\"Answer: 2*j - 1856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 90.717 to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2195*x**3 + 3115*x**3 - 884*x**3.\nAnswer: 36*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -24363 and -0.086.\nAnswer: 2095.218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(1\/8)*p*p**(1\/4) assuming p is positive.\nAnswer: p**(11\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from jjjjjjjjjmmj?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 1 = -4. Let b be l*(1 + 0)*-5. Suppose 0*n + 125 = b*n. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (-4 - -9))\/(6 - 8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from iyyimmimmi.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*f - 2*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 3*m = 12, 2*i + 13*m - 15*m = -12 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.06 - -0.46. Let d(m) = -m**2 - 19*m - 76. Let v be d(-13). Which is the nearest to r? (a) v (b) -1 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9673 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/5, -2\/7, -140952, 0.5, -0.5, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u + 10. Calculate m(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1886449 or -0.08?\nAnswer: 1886449","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 1240 - 1249. Let a(h) be the first derivative of 2 + 3\/2*h**2 + 6\/5*h - 2\/5*h**z - 3\/4*h**4. Factor a(y).\nAnswer: -3*(y - 1)*(y + 1)*(5*y + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 132065788*h**5 + 1075759*h**2 + 7*h.\nAnswer: 7923947280*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of 7*m**6\/6 - m**2 - 10. What is the second derivative of g(a) wrt a?\nAnswer: 140*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 60*i**3 - 4*i + 127. Let x(y) = -58*y**3 + 3*y - 128. Let n(b) = 5*t(b) + 6*x(b). What is the derivative of n(g) wrt g?\nAnswer: -144*g**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q - 898*q**2 - 4*q - 418*q**2.\nAnswer: -1316*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 336 a factor of 48494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 - 31*x + 35*x - 532*x**2 - 4*x - 28.\nAnswer: -532*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 9, 35, 61?\n\"Answer: 26*c - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 325*m**2 + 190*m - 3 = 0?\nAnswer: -3\/5, 1\/65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 6 = 3*q. Suppose 4*m + 0*c = 2*c + q, -5*m + 2*c = -5. Suppose -2*s = -m*s + 5. Solve 5*z = y + s, -2*z + 9*y = 4*y + 21 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s - 14. Let d be i(-14). Suppose -4*b = -d*b - 32. Factor 8*z + 8 - b*z**2 - 6*z + 5*z - 20*z**3 + 13*z.\nAnswer: -4*(z - 1)*(z + 1)*(5*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30672 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -4, 4*v = 4*y - 251 - 1249. Suppose y = 2*l - 64. Calculate the remainder when l is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i - 11. Determine m(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of y**3\/3 + 3*y**2 - 24*y - 3. Let n be s(-9). Suppose n*m + 3*g - 28 = 4*g, -65 = -5*m - 2*g. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a + 26*a**3 - 2*a**4 - 29*a**3 + 40*a**2 - 62*a**2 to r*a**2 + c + z*a**3 + q*a**4 + k*a and give r.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of -b**3\/21 - 3*b**2\/7 + b + 87. Solve v(z) = 0 for z.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w + 1. Let a(h) = h**3 + 5*h**2 + 3*h - 7. Let r be a(-3). Calculate y(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k - 2. Let z be t(1). Solve 3 = -d - z*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27898 (base 14) in base 8?\nAnswer: -276716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1783.7 - 1784. Put m, -4, 1\/4, 12\/19, 1\/8 in decreasing order.\nAnswer: 12\/19, 1\/4, 1\/8, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -162528*n**4 - 73695*n**2?\nAnswer: -3900672*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(672) - (sqrt(672) + 4*-3*sqrt(672) + sqrt(672)))\/(sqrt(54) - sqrt(216)\/(-3*sqrt(4))) + 2)**2.\nAnswer: 44*sqrt(7) + 852","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 4 = 0, -64 = -5*m + 3*m - 2*z. Calculate the remainder when m is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 81*m**4\/2 + 29490*m**3 + 126429*m**2\/2 + 38121*m + 4356 = 0.\nAnswer: -726, -1, -4\/27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f**2 - 5 + 3 - 6 - 3 to the form d + r*f + s*f**2 and give d.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2084 a factor of 8907016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 489 and 30.\nAnswer: 4890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -9*i + 4*i + 27, 5*i - 17 = 4*o. Sort 4\/11, i, -6 in descending order.\nAnswer: i, 4\/11, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39920 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0449 + -643.9551. Let r = o + 644.000131. What is r rounded to five decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (2 - (-5 - (-12 - -6))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, f: 1}. Give prob of picking 2 x.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 2066.\nAnswer: -4, 2, 2066","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 349, 377, 403, 427, 449, 469, 487?\nAnswer: 503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 m when two letters picked without replacement from {x: 3, k: 2, a: 1, m: 3, v: 1, h: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 144 * 48822\nAnswer: 7030368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 88516?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -35924 - -10.\nAnswer: -35914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-2074.3\nAnswer: 1037.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of w**6\/60 - 2299*w**4\/12 - 5506*w**3\/3 - 9959*w**2. What is the first derivative of x(k) wrt k?\nAnswer: 6*k**2 - 4598","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*h + 1. Let w(z) = -4*z**3 + 4*z + 2. Let j(a) = a**3 - 1. Let s(y) = h*w(y) - 2*j(y). What is the second derivative of s(b) wrt b?\nAnswer: 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - x + 50 = 0. Calculate the highest common divisor of x and 125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 + -6. What is the remainder when 75 is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*203\/378 + (0 - 5).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 228\/30*5 + -3. Suppose 1026 = -17*o + a*o. Which is smaller: o or 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18623 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(1265\/207 - 6). Put 2, s, 44 in descending order.\nAnswer: 44, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(931) + 0)**2 - sqrt(931) - -3*(sqrt(931) + -1) - (1 + (sqrt(304) - sqrt(19))*1 + sqrt(19))*4.\nAnswer: -30*sqrt(19) + 928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60 + 21 + (-16 - 22).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -298*g - 23037 + 4859 for g.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25585 by 85.\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of p - 1\/12*p**4 + 1\/3*p**3 - 2*p**2 + 0. Determine f(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1174+-0.5\nAnswer: -1174.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of -x**5\/30 + x**4\/6 + x**3 - 2. Let r(t) be the third derivative of j(t). What is the derivative of r(n) wrt n?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = o - 3*c - 15, -5*c + 128 = 4*o. What is the highest common factor of 108 and o?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**4 + 83*k**3 + 530*k**2 - 1036*k - 5880.\nAnswer: (k + 3)*(k + 14)**2*(3*k - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/sqrt(4)*-3)\/(sqrt(324)*2) + ((sqrt(162) + 0)*-6 - (-2 + sqrt(162)*-2))**2.\nAnswer: -577*sqrt(2)\/4 + 2596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-l + 5*l - 5*l - 3*l - 2*l + 0*l + (0*l + 3*l - l)*(3 - 1 - 1) + (-1 - 1 + 3)*(l + 1 - 1))*(-2 + 2 - 1) in the form j + s*l and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a + 38. Let x be (2 + -7)*1\/(-5). Suppose 0 = -4*g + 5*b - 64 - 32, x = g + 5*b. Let s be f(g). What is the closest to 1\/2 in 7, 2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3440977 or 3440976?\nAnswer: 3440977","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -5 + 1. Let c(n) = -12*n**3 - 4*n**2 + 5. Let a(q) = -37*q**3 - 11*q**2 + 14. Let t(m) = 6*a(m) - 17*c(m). Is t(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 1. Suppose -k - 2 = 4*x, 5*k + 10 = -4*x + 9*x. What is the closest to x in 0.4, -4\/5, l?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of 2*d**3\/3 + 1863. Let p(g) = -3496*g**2. Determine o(p(q)).\nAnswer: 24444032*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 199 - 116. Let k = s - 128. Let l = k + 49. Solve -3*b - 16 = l*m - 4, -4*m = -b + 12 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10753.5 - -10754. What is the third biggest value in -2\/9, 50, -5, b, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 12 = 4*u, 2*s = 5*u + 1 - 0. Let j(g) = g**2 + g - 1. Let k be j(u). Which is the nearest to k? (a) 0.3 (b) 0 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/(-72) - (4 - 45\/9)*(-17)\/(-6). Let -2\/3*k**2 + 0*k + 0 + 2\/3*k**i = 0. What is k?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 5. Suppose -5*t + 12 + 3 = 0. Suppose 9 = 10*u - 91. Solve 0 = -5*o + o + h*q - 5, -5*o + t*q = -u for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5\/6 + 1\/2. Put 0.05, 0.2, z in descending order.\nAnswer: z, 0.2, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 780, -3\/7, 0.1, -2.\nAnswer: -2, -3\/7, -0.4, 0.1, 780","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -126.15 + 52.207. Let u = -74 - t. Let g = u - -0.0543. Round g to four decimal places.\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 102169 and 5756.\nAnswer: 1439","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.297 (b) -1\/5 (c) -2\/7 (d) -2\/87 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 380, 376, 376, 386, 412?\nAnswer: 460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + 16 + -17 + 11 + -34?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3660 + -1393. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9 + 2dbd2?\nAnswer: 2dbc7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - 13*5\/(-45). Sort s, 1\/2, 4, 14\/5.\nAnswer: s, 1\/2, 14\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.12 + 1.68. Let t = -0.8 + u. Put 5, t, -1\/7 in increasing order.\nAnswer: -1\/7, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -61\/4 (b) -3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2019108?\nAnswer: 2, 3, 7, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 11254 (b) -2\/7 (c) -0.4 (d) -3 (e) 85 (f) -9 (g) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.3073767 to three dps.\nAnswer: -1.307","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((17 - 3) + -4 - 2) + -39 + (13 - -3)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.34940065 times -18?\nAnswer: 6.2892117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/11184 and 81\/585296.\nAnswer: 1755888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 41 + -17668?\nAnswer: -17627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 + 10*z**2 - 295*z + 2577. What is j(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 538*0.009\nAnswer: 4.842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11025*b - 6239*b = 6138*b + 43264 for b.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3922420.\nAnswer: 2, 5, 23, 8527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18\/23? (a) -13 (b) -3\/7 (c) -2658\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2778 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*v - 17*v + 20. Let p(j) = -j**2 + 8*j - 4. Give p(v).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.202729km in meters?\nAnswer: 3202.729","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -u**4\/5 - 203*u**3\/5 - 12812*u**2\/5 - 243724*u\/5 - 621264\/5 = 0.\nAnswer: -86, -28, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*x = 3*j - 124*x + 81, 0 = 4*j + 2*x + 28 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 219780071?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -138 - -180. Let m be ((-12)\/(-1))\/((-52227)\/x). Let p = 82199\/13264 + m. Find the common denominator of p and 33\/8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 1:16 PM?\nAnswer: 7:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17 in -3\/2, 0, 3\/7?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z + 121 = -131. Let x = z + 40. Let s = 11 + -7. Sort x, -1, s in descending order.\nAnswer: s, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11911963 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -16, -0.33, 1\/9?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 152 - 147. Suppose q*w = -3*o + 704, 2*o - 3*o + 232 = w. Does 10 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-680)\/952*14\/(-15). Sort x, 0.4, 358 in decreasing order.\nAnswer: 358, x, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 375114.\nAnswer: 2, 3, 101, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1358 by 11.\nAnswer: 1358\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6668 from -1221.9466.\nAnswer: -7889.9466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 189 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1237469?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 118264502 - -254.91\nAnswer: 118264756.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190 = 3*h + 2*h. Let p = h + -20. What is the greatest common factor of p and 162?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -327086752058 and 12.\nAnswer: -327086752046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -28191, 46, -9, -3 in descending order.\nAnswer: 46, -3, -4, -9, -28191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 4 - (-18 + (3 - -1) + 3).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*w - 927 = -7*w. Let y = -513\/5 - w. What is the nearest to 1 in 0, 4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 522454 (base 7) to base 5.\nAnswer: 10333013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -190484.336 to the nearest ten thousand.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 4*a**3 + 5*a**3 + 4 - 2*a**3.\nAnswer: 7*a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 3 + 4 + (1 + 1 - 1)*(-2 + 1 + 3) - 10 + 6 + 2)*(-u**3 + 0*u**3 + 2*u**3) in the form d*u + h*u**3 + w*u**2 + c and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of y**4\/12 - 26*y. Calculate o(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1419312633862+0.01\nAnswer: -1419312633861.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 186*o*q**2 - 2*o*q - o - 11*q**2 + 68*q - 7 wrt q.\nAnswer: 372*o - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x**2 + 2*x**2 - 5*x**2)*(-79 - 77 + 156 + 41*x).\nAnswer: 41*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*l = -67*l. Solve l = -0*t + 10*t - 10 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*s**2 - 2*s**2 + s**2 - 3*s**2 - 4*s**2 + 5*s**2 + (4*s - 3*s + s)*(-2*s + 6*s - s) to t*s + o + l*s**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -43609*s**4 - 249*s + 7 wrt s?\nAnswer: -523308*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of -679*z**5\/20 - 829*z**2 - 1525*z. What is the first derivative of t(f) wrt f?\nAnswer: -2037*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -3*r - 6. Suppose 5 + 1 = r*k. Let g(j) = -k*j**2 - 2 + 0 + 2. Let v(p) = -2*p**2. Calculate g(v(b)).\nAnswer: -8*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3645 + 7201. Let w = l + -32066\/9. What is the common denominator of w and -61\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10089074.\nAnswer: 2, 31, 162727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 4632*f + 285. What are the prime factors of t(6)?\nAnswer: 3, 7, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**3 - 29*n**2 + 80*n - 948. Determine t(14).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = m + 2*m + 32, 4 = -4*i + 3*m for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -18 - 10*g - 32*g**3 + 32*g**3 + 28*g**3 - 32*g**3 + 55 in the form w*g**3 + n + s*g + m*g**2 and give n.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 35839257 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1560 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 3 + 5210*z**2 + 5119*z**2 + 5129*z**2 - 15281*z**2.\nAnswer: 177*z**2 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, -14279, 4.4, 2\/21 in increasing order.\nAnswer: -14279, -3\/7, 2\/21, 4.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d**3 - 48393*d**2 - 195084261*d + 585688401 = 0. What is d?\nAnswer: -8067, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69881?\nAnswer: 7, 67, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.037*-15.997.\nAnswer: -64.579889","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of 0*v**2 - 1\/4*v**4 - v - 3 + v**3. Give g(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 945096951 to the power of 1\/4, to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -9*v - 6 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -783, -3100, -7007, -12540, -19735, -28628, -39255, -51652?\nAnswer: -65855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 166.77 + 3.23. Let r = -169.6 + b. Put r, 1, 5, 1\/7 in descending order.\nAnswer: 5, 1, r, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 10 (b) -1\/12 (c) -0.23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 95550 and 1942850?\nAnswer: 5828550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 369 = -8*y. What are the prime factors of y?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 88327.38 to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -553422105 (base 6) to base 9.\nAnswer: -20677775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 234 and 338.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 133\/675363?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5740 = 2605489*h - 2605284*h for h.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millisecond in microseconds?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-1)*4)\/((-213)\/(-2485)*4\/6).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 103470.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 22717.963 and -0.6?\nAnswer: -13630.7778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -3*z**3 + 38*z**2 - 26*z + 14. Let x be p(12). Put -4, x, 3\/4, -0.5, -5 in decreasing order.\nAnswer: 3\/4, -0.5, -4, -5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 PM and 2:51 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 173*k - 454. Determine h(3).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 213227600 rounded to the nearest one hundred thousand?\nAnswer: 213200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -699243 divided by -2\nAnswer: 699243\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2657*b**4 - 1970*b**3 - 61435570*b?\nAnswer: 31884*b**2 - 11820*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/36 + (-704)\/(-9). Suppose -2*t = 3*c - 42, 4*t + 2*c = -c + d. Let x = -13 + 19. What is the highest common factor of t and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 438 (base 12) in base 6?\nAnswer: 2512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - b - 1. Let l be y(-2). Let h = l + 1. 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: Let a(o) = 3*o**2 - 13*o - 16. Let i be a(12). Suppose -d + z + 124 = 0, i = 2*d - 0*z + z. Is 14 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2242982?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1603?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1542401.3134095 minus 9?\nAnswer: 1542392.3134095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3190984169 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-5 + 2 + -2*(sqrt(2736) + 1*sqrt(2736) + sqrt(2736)) + -5))**2.\nAnswer: 1152*sqrt(19) + 98560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - o - 95 = 2*l, 43 = 3*o - 4*l. Suppose -2*c - o = -3*c. Let x = c - -11. What is the remainder when x is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 580 + 20 = 0. Suppose -5*y + 0*y + r = 0. Is 9 a factor of 180\/(-42)*y\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 6 = 2*p, 3*p - 2*n + 6 + 3 = 0. Let r(u) = u**2 + u - 5. Let d(l) = 2*l**2 + l - 6. Calculate p*d(v) + 4*r(v).\nAnswer: -2*v**2 + v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) -5 (c) 763.8 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.2 (b) 7 (c) 1 (d) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 8626\nAnswer: 2\/4313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151205.\nAnswer: 5, 30241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/(-8) - (-2)\/(-8). Let n be (-1)\/c*(-12 - -3). Is 10 a factor of 11*-3*(-3)\/n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-5)*i\/((i\/(i*i\/(i*i\/(i*i**(-3)))*i*i*i))\/i*i))\/((i*i**(-11))\/i**14) assuming i is positive.\nAnswer: i**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 700*l**3 + l. Is r(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -196345*k**3\/2 + 981735*k**2\/2 + 1374390*k - 70 = 0.\nAnswer: -2, 2\/39269, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-4)*(-4 - -3). Let p be (3 + 4484\/(-1206))*n. Let y = p + -4\/67. Which is smaller: -1 or y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of h**3\/3 + 2*h**2 + 3*h + 2. Calculate the least common multiple of -25*(18\/15)\/(-3) and o(-5).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**(2\/5)\/n))\/n**4*(n**30\/n)\/n**(-28) assuming n is positive.\nAnswer: n**(273\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - 0) + 15 + (37 + -18 - 33)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*2*(2 + (-2*sqrt(57)\/(4*sqrt(3)) + -3)**2).\nAnswer: -126 - 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {l: 14, r: 1}.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 - 9*p**2 + p**2)*(1 + 1 + 7).\nAnswer: -54*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, k: 2, d: 4, p: 2, e: 2}. Give prob of picking 2 k and 1 p.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {u: 2, r: 8}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fkcefmn. Give prob of picking 1 c, 1 k, and 1 n.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that c**2\/2 + 311089*c - 13066179\/2 = 0.\nAnswer: -622199, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -634 - 15?\nAnswer: -652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -667549.566 + -949?\nAnswer: -668498.566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6994 - -6997. Solve -2*p = 12*k - 9*k - 9, -p + j = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of 2*t**3 - t**2\/2 - 2. Let f be u(-2). Suppose 0 = r + 2*r - 12, -2*g + f = 5*r. Solve -h + 0 = -g for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - i - 2*c + 235 = 0, 0 = -i + 4*c + 55. Suppose i = 2*z + 3*z. Suppose 6*a - a + z = 0. Sort 1, a, 5 in decreasing order.\nAnswer: 5, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 5*n**2. Let g(t) = -12*t**2 - 18. Let a(w) = -6*w**2 - 8. Let b(y) = -9*a(y) + 4*g(y). Calculate s(b(h)).\nAnswer: 180*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + z = 0. Suppose l + 3*l - 32 = z. What is the second derivative of 5*o**2 - l*o**2 + 4*o**2 + o wrt o?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 15 - 10 = -2*f, -3*f + 27 = z. Let a(h) = 80027*h + 80032. Let q be a(-1). Solve -7*d + q = -f*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -152, 7, -3, 3, 0 in decreasing order.\nAnswer: 7, 3, 0, -3, -152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11535*g - 11561*g + 0*g**2 + 4*g**2 to v + j*g**2 + d*g and give d.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -46 and -64?\nAnswer: 2944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14782 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = -x + 1, -9*d - 3*x + 3 = -6*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93718.\nAnswer: 2, 47, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 t when three letters picked without replacement from {g: 1, k: 1, j: 2, t: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 6647 divide 794828319?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 388023.\nAnswer: 3, 129341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7\/(-14) + 4\/128. Which is greater: 1 or i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - -8 - 2)*(-4)\/(-8). Let u(p) be the second derivative of -1\/12*p**4 - 2\/3*p**3 + 7*p - 2*p**b + 0. Factor u(r).\nAnswer: -(r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44626*s**3 - 22225*s**3 - 22407*s**3.\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 + 8*x - 1. Let f be w(6). Let i be (2\/6)\/(f\/66). Let d(b) = 2*b - 3. Calculate d(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2729 - -3121.2. Let q = p + -392. Which is the third biggest value? (a) -2 (b) 15 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/9)*n**(-5)*n)\/(n*n**(1\/5)*n*n*n**(-3\/8)) assuming n is positive.\nAnswer: n**(-2377\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z*z*z*z**2)\/z)\/((z\/((z\/z**(-1\/2))\/z*z))\/z)*z**(-2)*z*(z\/(z*z\/z**(-2\/33)))\/z*z)**8)**26 assuming z is positive.\nAnswer: z**(23608\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -6 + 4 - 4 - j**3 + 9*j - 2*j + 6*j**2. Give h(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 187 = -88. Suppose 4*r = -r + x. Calculate the lowest common multiple of r and 3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-3))\/((-2)\/6). Suppose f*b - 66 = -b. Let r = b - 12. Is 3 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z - 6*z - 5*z)*(4*z - 6*z + z) - z**2 + z**2 + 4*z**2.\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 22860 to the power of 1\/2, to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3262*l*y**4 + 2*l*y**3 - 2*l*y**2 + l*y + 3012 wrt y.\nAnswer: -78288*l*y + 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 5*z - 188 = -0*j, j - 195 = -2*z. Suppose d + 4*p = 52, 4*d - j = -0*d - p. Is 8 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -33 <= -38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 23, 97, 181, 281, 403, 553, 737, 961?\n\"Answer: c**3 - c**2 + 70*c - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 2*l**2 - 4*l + 1. Let f = 8 + -11. List the prime factors of c(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 206.95 + -117. What is a rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1004 + -970. Let k = s + -14. Solve -12*z - 16 = k for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 4*y - 5 = 0, 0*b + 4 = -3*b + y. Let q(z) = -2*z**3 + z**2 + z. Let n be q(b). Solve 0*w = 2*w + n for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 35, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 - 12*r + 2. Let c be b(12). Suppose -5*v + 43 = -c*u, -3*u = -4*v + v + 24. Let f(m) = -m**2 + 10*m - 8. Calculate f(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*w = -17*w + 165 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(sqrt(88)\/sqrt(8)) + sqrt(72)*3.\nAnswer: 19*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201 is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**18)**(-2) assuming t is positive.\nAnswer: t**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*h + 3*h - 4*h)*(0*h + 0*h + 2*h**2)*(1 - 3 + 0)*(129*h + 222*h - 112*h).\nAnswer: -5736*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.5, -5, -1, 0.1 in decreasing order.\nAnswer: 0.1, -1, -1.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 57731873 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 1212651554 and 0.3.\nAnswer: 1212651554.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9416814?\nAnswer: 2, 3, 11, 61, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 116439436 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000039407527 to seven dps.\nAnswer: -0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1777899037 to the nearest integer?\nAnswer: 1211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of 5 - 1\/2*p**2 - 1\/3*p**3 - 7*p. Let b be 6\/(-9) + (-2)\/(-3). What is g(b)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-424 + 225*z - 110*z - 120*z)*(-2*z + z + 3 - 2) as x*z**2 + v + q*z and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -375672.54 rounded to the nearest ten thousand?\nAnswer: -380000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 2 = -6*w. Suppose w*l + 3*l - 42 = 0. Let a(q) = 3*q**3 - 2*q + 2. Calculate the least common multiple of l and a(2).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, p: 4, n: 3}. What is prob of sequence xnnn?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/12)\/((-2)\/(-12)). Let q be 76\/18 + o\/9. Suppose 15*b - q = 14*b. Is 3 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 2*u + 4. Suppose -b + 5 = 0, u*g - 277 = -5*b + 280. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4455218 to the power of 1\/4, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91962783 is divided by 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4991 - -4996. Solve 3*t = 15*r - 17*r - c, -t = r + 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = r + 11, -r - 4*l + 2 = r. Let i be 12\/r + (-2)\/(-3). Suppose -4*c = -5*b - 61, 3*c - 28 = c + 2*b. Solve i*j = 5*j - c for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -6. Let k be 4 + 0\/(-4) + (-9 - -9). What is the smallest value in -3, c, k?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/2 (b) 1 (c) -0.4 (d) -3527 (e) -24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3721*y = 5559*y + 120582 - 17654 for y.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-21)*94\/141*(-69)\/46.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.88 (b) 4 (c) -27.2 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2734?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of p**3 - 3*p**2\/2 + 116*p - 6. What is the derivative of h(k) wrt k?\nAnswer: 6*k - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 183 + -147. Calculate the least common multiple of 18 and r.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + 15\/(3 + -6). What are the prime factors of (-28)\/d*(-3)\/(-2)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*2*-1*15\/1260*14\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -42) + -32 + (3 - 5) + -4 + 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -3*v**2 + 584*v + 786. Calculate y(196).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - 23*i**2 - 22*i - 48. Let h be x(-23). Suppose 4*p - 926 = -10*t + 8*t, -2*p + h = -4*t. What are the prime factors of p?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*y + 29*y + 719 - 2875 = -76*y for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001255 to 5 decimal places.\nAnswer: -0.00126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 5 + sqrt(2)*-1 - sqrt(18)\/(-6*sqrt(36)\/sqrt(4)).\nAnswer: -5*sqrt(2)\/6 + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6712793 is divided by 67?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2022.\nAnswer: 2, 3, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4551 is divided by 120?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -13. Let s(u) be the first derivative of u**3\/3 + 3*u**2\/2 - 4*u - 4. Let m be s(h). Solve q = -m*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from arr. Give prob of sequence arr.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-53 + 82 + 58)*(0 - 6 + 2)*(-4*d + 2*d + d).\nAnswer: 348*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4791 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 493 and 2576537?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + j, -4*j = j. Let m(r) be the first derivative of g*r**4 + 3 + 0*r**3 + 3\/2*r**2 + 0*r - 3\/5*r**5. Find the second derivative of m(f) wrt f.\nAnswer: -36*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + -2 - (22 - 31 - -17) - 12.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30 + -21. Suppose -3*t = -m - 724, 4*t + 0*t + 5*m - 959 = 0. Let p = t + -169. What is the highest common divisor of p and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 8, j: 5}. Give prob of picking 2 q.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 + 3*v - 2 + 2 - 2*v**2. Let m(k) = -3*k - 1. Let c be m(-1). What is the units digit of f(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r + 2*r - r)*(4 - 4 - 3*r)*(-127 - 138 + 256)*((-3 - 1 + 0)*(-5 + 1 + 5) - 2 + 1 + 0).\nAnswer: 405*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1499545.\nAnswer: 5, 299909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 98949, 98952, 98955?\nAnswer: 98958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/9 + 140*q**2\/9 + 46*q\/3.\nAnswer: 2*q*(q + 1)*(q + 69)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 30 = 12*j - 14*j, -3*j - 25 = 2*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 + 13. Let q = 4 + z. Let v(o) = -o**3 - 5*o**2. Determine v(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 16 = q, -3*c + 3*q = -5*c + 6. Let g = c - 8. Put g, -32, 1 in decreasing order.\nAnswer: 1, g, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-2\/25)*q)\/q)\/(q\/(((q\/q**(-4\/7)*q)\/q)\/q*q))*(q\/(q**7*q*q*q))\/(q*q**(-1\/11)) assuming q is positive.\nAnswer: q**(-16204\/1925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1849 = -4*z - z + 3*a, -4*z + 1487 = -5*a. Suppose 166 + z = 6*b. What is the smallest common multiple of 2 and b?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(1872) + (sqrt(1872) - (3 + sqrt(1872)*-2 + sqrt(1872))) + 1 + 3*sqrt(1872) + sqrt(1872))*6)**2.\nAnswer: -108864*sqrt(13) + 29721168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 564400 to the nearest 10000.\nAnswer: 560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (6\/(-8) - 35\/(-20))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190499876 is divided by 203.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 3, 0, -4, -32 in increasing order.\nAnswer: -32, -11, -4, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k**3 - 20*k**2 - 23*k - 44. Let h be r(-9). Let a(s) = -5*s + 9. Let q(x) = x. Determine h*a(y) + 3*q(y).\nAnswer: -2*y + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -6*v - 5. Let p(t) be the second derivative of 0 + 0*t**2 - 1\/6*t**v - 4*t - 1\/12*t**4. What is the second derivative of p(f) wrt f?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 2*n - 205, 11*n - 6*n = 5. What are the prime factors of (-8579)\/b*(0 + -3)?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 192490164?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of c**6\/120 + 3*c**5\/20 + 11*c**4\/24 + 2*c**3\/3 + 7*c**2. Calculate the remainder when 99 is divided by v(-7).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8058038?\nAnswer: 2, 1117, 3607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12326 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0324 + -5.0324. Which is the biggest value? (a) 2\/9 (b) w (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.081 - -0.481. Sort 0.5, -0.03, o, -3\/2 in descending order.\nAnswer: 0.5, o, -0.03, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -296915198, -593830398, -890745598?\n\"Answer: -296915200*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97621128 is divided by 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 4\/37, -0.1 in increasing order.\nAnswer: -0.1, 4\/37, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -2466599.4?\nAnswer: 4933198.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*l, -3*u + 2*l - l = -2. Let k = 151\/5 + -448\/15. Sort u, -3\/7, k.\nAnswer: -3\/7, k, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -6, -1\/178, -20, -0.4 in ascending order.\nAnswer: -20, -6, -1\/2, -0.4, -1\/178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 174 divide 312769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 5 = 6*y. Suppose y*w - 261 = 3*k, -5*k = w - 4*k - 49. What are the prime factors of w?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2193.803 - 50.897. What is i rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**3 - 288*i**2 - 140940*i - 7447896.\nAnswer: 4*(i - 246)*(i + 87)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 72254226?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 196532, 7, 1, 0.\nAnswer: 0, 1, 7, 196532","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 18. Let u = i - 12.029. What is u rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (1 - 0)\/(3 - (-528)\/(-177)) is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470733.8 centimeters in millimeters?\nAnswer: 4707338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**5\/9 + 8*u**4\/3 - 68*u**3\/9 - 1624*u**2\/9 - 1274*u\/3 + 5488\/9.\nAnswer: 2*(u - 8)*(u - 1)*(u + 7)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -747*x - 663*x + 147 - 146.\nAnswer: -1410*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7.3 in 2\/9, -1, -16.6, 1\/2, 3\/14?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (13 - (-12 - (-10 + -6))) + -4 - -17\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1075, 1078, 1081, 1084?\n\"Answer: 3*c + 1072","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -360 - -365. Let w(a) = 32*a - 98. What is the remainder when w(f) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vlr when three letters picked without replacement from {x: 1, d: 1, r: 1, v: 1, l: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 504 divided by 3.\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.68 + 0.02. Let n = 1.4 - m. Let f = -392 - -5878\/15. Which is greater: n or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-10))\/((-26)\/65)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 4*b**2 - 2 + 5*b**2 + (8*b + 0*b - b)*(11 + 9 + 3)*(-3*b + 6*b - 2*b) to the form j + m*b**2 + p*b and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -4. Suppose i = -2*z - 5*v - 13 - 2, -10 = 2*v. What is the least common multiple of z and 7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*f = 87*f - 377894. Suppose 12*n - 93314 = f. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -44 - -102. What are the prime factors of a?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 10) to base 2\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27238608 and 1440.\nAnswer: 272386080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -4*k - k + 8244, 4*k - 4*a - 6592 = 0. Is k a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 - 1)*(-1 + 1 - 4*q) + (-7 - 3 + 5 + (1 - 1 + 1)*(-2 + 0 + 1))*(0 + 0 - q) to u + c*q and give c.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 959051, 1918116, 2877185, 3836258, 4795335?\n\"Answer: 2*f**2 + 959059*f - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -2*h. Suppose h = 8*o - 60 - 356. Calculate the highest common divisor of o and 156.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 892\/(-12) + (-6)\/9. Let p be (-28)\/5 + 30\/r. Let w(n) = n**3 + 5*n**2 - 5*n. Determine w(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7359 is divided by 369?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28927582?\nAnswer: 2, 59, 245149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.49633 to three decimal places.\nAnswer: -1.496","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 - k + 1. Let f = -11 + 12. Let h(p) = 5*p**2 - 2*p + 4. Calculate f*h(g) - 3*c(g).\nAnswer: 2*g**2 + g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -c**3\/3 + 9*c**2\/2 - 2*c + 2080. What is m(12)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13407 - -1372. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-20) - (-19)\/68)*-6\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -260167083 + 260167083 + 87*i**2.\nAnswer: 87*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 - 10*p - 5299*p**2 + 6*p + 5291*p**2 + 5*p.\nAnswer: -8*p**2 + p + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 18*o. Let v(h) = h. Let d(w) = 80*v(w) - 5*z(w). Let s(g) = -9*g. Determine d(s(t)).\nAnswer: 90*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 14)*(132*w - 132*w - 35*w**5)*(-5 + 5 - 2).\nAnswer: -980*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1\/867 + -1697\/32079. Is 0 equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39 - -39.21. Let m = 0.20864 - d. Round m to 4 decimal places.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-80)\/30)\/(4\/(-24)*4). Sort i, -2, 21, -4 in ascending order.\nAnswer: -4, -2, i, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (4 - (5 - (-1 + -6))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 512509970 a multiple of 1483?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36741.\nAnswer: 3, 37, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 21 - 53. Does 17 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 0.4 (b) -27.427 (c) 3 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-1 + sqrt(176))*-5)**2.\nAnswer: -200*sqrt(11) + 4422","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 54\/(0 - -2) - 2. Let c be 2\/4 + t\/10. Put c, 0, -1 in descending order.\nAnswer: c, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-40)\/(-2 + -2))\/(14\/10402) is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*5.774.\nAnswer: -28.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -44.5 + 39.5. Let q = 9 - 9. Which is the nearest to -5? (a) q (b) k (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 58*3*260\/1560. What is the highest common factor of 23983 and z?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10597 take away -299871866.1?\nAnswer: 299882463.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -2849.88939 to the nearest one hundred.\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8866644 to the power of 1\/2, to the nearest integer?\nAnswer: 2978","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -712498 by -85.\nAnswer: 712498\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 - 7*o. Let t(y) be the third derivative of y**6\/120 - y**5\/15 + y**4\/24 - 3*y**2. Let w be t(3). Does 3 divide q(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 17697*n + 13040. Is v(13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iuu when three letters picked without replacement from {u: 2, t: 2, i: 9}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2111878?\nAnswer: 2, 1055939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 54*m**2 + 7 - 30*m**2.\nAnswer: 24*m**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/2)\/((828\/1494)\/23).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 22*-1 + (-2)\/(-1). Let r be 235\/(-7) + 4\/7. Let y = n - r. Does 13 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s + 2. Let l be b(-2). Let d = 5 + l. Suppose 0*m = d*m - 15. Solve 2*i - 3 - m = 2*c, -4*c - 21 = i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 3*h + 2. Suppose o = a + 1 - 11, 46 = -5*o + h*a. Is o smaller than -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 9:00 PM?\nAnswer: 8:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1147.816*-0.267.\nAnswer: -306.466872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1069 divided by -20\nAnswer: -1069\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36 + -24. Let m be (z\/(-15))\/((-2)\/(-5)). Sort m, -2\/11, -0.3 in ascending order.\nAnswer: m, -0.3, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 8 + 1 + -4 + 1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 + 6 = 2*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -13\/2?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/(sqrt(6)*1) + 5 + sqrt(3) + 0)**2*6.\nAnswer: 120*sqrt(3) + 222","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 187610?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*n**5 + 2323*n**4 + 19483*n**3 - 48240*n**2 - 900*n = 0. What is n?\nAnswer: -30, -15, -1\/54, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + b**3 + 31 + 2*b**3 + 38.\nAnswer: 3*b**3 + 66","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -38 + -1540?\nAnswer: -1578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 121*l - 870*l - 275*l - 61*l as u + w*l and give w.\nAnswer: -1085","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -107 (base 10) to base 2.\nAnswer: -1101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25 (base 6) to base 15.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 60018473?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.192 + 1.387. What is f rounded to one dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -22782 and 344.\nAnswer: -22438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 + 28*p**2 - 26*p + 74. Is c(26) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 11:48 AM?\nAnswer: 1:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -34.2 and 94.\nAnswer: 59.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = -0*s - 40, 3*r = -140*s + 137*s + 12 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.5, 1, -1169, -15?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 69 and -32.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1394.1 + -0.4?\nAnswer: 1393.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b - 3*b = 10*b - 80. Let h(z) be the second derivative of 0*z**3 + 0 + 18*z + 8\/3*z**2 - 1\/9*z**b. Factor h(u).\nAnswer: -4*(u - 2)*(u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 49*f - 39. Let a be v(26). Suppose -4*r - 9*r + a = 0. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 10) to base 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12868.3 - 12921.30495. Let l = s - -53. What is l rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of 985*p**7\/42 + p**3\/6 - 15*p**2\/2 + 983*p. What is the second derivative of m(c) wrt c?\nAnswer: 19700*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence me when two letters picked without replacement from mmmxmxxmexeemmexmm.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of -r**6\/36 + 7*r**5\/30 - 11*r**4\/24 + 5*r**3\/18 + 156. What is a in i(a) = 0?\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-224)\/(-119) + 6\/51?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -672b (base 15) to base 12.\nAnswer: -107a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1090 is divided by 55.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -215 + -616?\nAnswer: -1033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l + 3*l - 2*l)*(-2 + 1 + 2)*(-2 + 0 + 0).\nAnswer: -10*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*m - 3*g, m + 2*g - 12 = 3*g. Let l = m + -7. Let n(s) = -s**2 + l*s + 0*s + 0*s - 1. What is n(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - -1 - (4 + 21 + -26)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60\/(-8))\/(-15)*10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cmboq. What is prob of sequence boq?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -g + 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -331061*k**2 + 17*k - 509751083.\nAnswer: -662122*k + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/270 and -167\/510.\nAnswer: 4590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -32*d. Let u(l) = -19*l - 1. Let g be u(-3). Let n(h) = g + 5*h - 111 + 55. Determine n(y(r)).\nAnswer: -160*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12012 and 532?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 93\/6 + (-2)\/4. Suppose 8*q = 5*q + d. Suppose 0 = q*s - 0*s - 3*b - 30, -2*s - b + 12 = 0. Which is bigger: 5 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 1413 = -699. Suppose c = 2*p - 5*g, 502 = 4*p - g + 4*g. Is 14 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-1 + (-120)\/(-15) + (-17)\/3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -133 + 143. Solve -4*v + d = a, 3*v - 22 = -v + 5*a for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1498 + 1633. Is 9 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 2 + 1 + 1 + 0 + 0 + 3 + 0 - 1 + (-1 + 2 + 1)*(2 + 0 - 4) - 1 + 1 + 1 + 1 + 4 - 1)*(-2*s + 0*s + 6*s) as z + q*s and give q.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -151 (base 13) to base 4.\nAnswer: -3223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k. Let d(n) = -2*n. Let f(i) = -i**2 - 8*i - 21. Let j be f(-4). Let r(t) = j*q(t) - 2*d(t). Let x(l) = 21*l. Calculate x(r(m)).\nAnswer: -21*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2760)\/(-10))\/2 - 9 - 0. Solve 0 = -22*i - s + 19 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2229*u + 17408 - 1288 = 1609*u for u.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2379 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: What is the nearest to 1574 in -1\/12, -1\/3, -1, -2, -4?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nssssvsrsssssss. Give prob of sequence ssn.\nAnswer: 22\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/(d**(-5\/6)*d))\/d)\/(d*d**(-15)*d))**25)**(5\/4) assuming d is positive.\nAnswer: d**(9625\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 h when two letters picked without replacement from iah.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132926.\nAnswer: 2, 66463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 304036976\/5174 + 6\/(-13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o - 25. Suppose -10 - 7 = -a. What is the least common multiple of l(a) and 14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/6)*r**(-2\/21)*r)\/(r\/(r*r**9\/r)*r**8) assuming r is positive.\nAnswer: r**(31\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.21 + -0.01. Let f = 33 + -295\/9. Which is the third smallest value? (a) f (b) t (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 356696*k*x**2 + 2*k*x - 26*k - 733*x - 2 wrt x.\nAnswer: 713392*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 15*y + 6*y**2 + 3*y**2 + 43*y**2 + 10*y**2. Let n(f) = -124*f**2 - 29*f. Let q(z) = -5*m(z) - 2*n(z). Find the second derivative of q(i) wrt i.\nAnswer: -124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*j + 16*j + 36*j + 15*j - 63*j + 9*j.\nAnswer: 91*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 13 - (9 + 0 + 42 + (24 - 91)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2216587 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (24418\/(-145))\/(2\/2500). Round y to the nearest ten thousand.\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/51*-1494 - (-6)\/51 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w**3 + 2*w**2 + 3. Let a be s(-2). Sort a, 5, -91 in decreasing order.\nAnswer: 5, a, -91","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-105))\/(4928\/1983520).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3849 + -3844. Solve 3*c = -x*o + 30, 7*o + 5*c - 40 = 2*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuc when three letters picked without replacement from gcuua.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(245) + -2 + sqrt(245)).\nAnswer: -10 + 70*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -3963316\nAnswer: 3\/3963316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4105757 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 90867818 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (132\/(-220))\/(9\/39).\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g**2 - 2*g**2 - 2 + g**2)*(-3 - 8 + 0).\nAnswer: -33*g**2 + 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -573 take away -11.8?\nAnswer: -561.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 442 + -426. Let v(x) = -4*x + 62. Let y be v(s). Is 0 < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 403246 is divided by 813.\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, -4, 29709, 62 in descending order.\nAnswer: 29709, 62, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/954 and -93\/257050.\nAnswer: 2313450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2579 or -169?\nAnswer: 2579","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -51, -881, -2279, -4251, -6803, -9941, -13671?\n\"Answer: -k**3 - 278*k**2 + 11*k + 217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16103\/8 + 2009. Let m = 42739\/6 - 7144. Find the common denominator of r and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 74\/2979 and 14\/99.\nAnswer: 32769","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + -42?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c + c**2 - 2*c + c**2 + 0*c**2 + c**2 - 3*c**2 + (4*c + 2*c - 5*c)*(-2*c + 2 - 2).\nAnswer: -2*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 5315 = -3*t + 102, 3*p + 6 = 0. List the prime factors of t.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - 4 - (38\/(-152))\/((-3)\/(-72)). Solve -5 = 3*t + 2*u - o, -2 = -2*t - 4*u for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -77 + 76.99. Which is smaller: j or 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -156*d - 1. Let n(i) = 3*i - 1. Give -3*n(c) + w(c).\nAnswer: -165*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125112919.\nAnswer: 47, 67, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/(2*sqrt(7)) + sqrt(40)\/sqrt(2))**2.\nAnswer: 125\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -1605947 and -1605746 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 + 91*y + 4. Let c be r(0). Solve -20*o - 14 = -22*o + c*l, 0 = -2*o - 2*l - 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (139000\/(-6))\/(-1)*-6. Round t to the nearest 10000.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 4:48 PM?\nAnswer: 5:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i**2 - 10*i + 12. Let r be t(6). Let s be (44\/(-12))\/((-8)\/r). Suppose -181 = -5*m + 314. Calculate the greatest common factor of m and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 7516, 6741, 5952, 5143, 4308, 3441, 2536?\n\"Answer: -r**3 - r**2 - 765*r + 8283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1224 and 13056?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from ksztttdzktdzfzdzzf.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((((-12154)\/721)\/59)\/((-12)\/14))\/(3\/30)?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 42*z. Let l be ((-16)\/(143 + -15) - (-55)\/(-8)) + 17. Let w(n) be the third derivative of -l*n**2 + 0*n**3 - 1\/12*n**4 + 0 + 0*n. Give w(y(r)).\nAnswer: -84*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 4*s**2 + s - 1. Let v be c(2). Let m be 0 + (-5)\/(5\/(-329)) + (-9 - -3). Calculate the greatest common divisor of v and m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.1 + -1.1. Let c = -2.1932 - f. Round c to three dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132436382821 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 4 - 8)*-4. Suppose 5*r - a = r. Let h = 18 - r. Is 2 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -168 + 168. Suppose -4*q = -12 - l. Let w = -2 - -1. Sort q, -4, w.\nAnswer: -4, w, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2201*u**3 + 93*u**2 + 93*u. Let l(d) = -119*d**3 - 5*d**2 - 5*d. What is 5*b(s) + 93*l(s)?\nAnswer: -62*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(-2\/21)\/q*q)\/(((q\/q**(-8))\/q)\/q))**(1\/41))**(2\/9) assuming q is positive.\nAnswer: q**(-256\/7749)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h - 2. Let l(u) = 6*u + 13. Let t = 21 - 15. Calculate t*l(p) + 39*s(p).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-3\/8)*r)\/(r*(r\/(r*(r*r**(-6\/5))\/r*r))\/r))\/(r**(-3)*r*r*(r*r*r**2*r*r)\/r))**(-1\/6) assuming r is positive.\nAnswer: r**(143\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 189\/(-315)*(16\/16)\/(-2)\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 28182 divided by 154\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = 2*m - 20, -1486*v + 3 = -9*m - 1488*v for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 - 16*t - 2. What is the units digit of o(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 521684964?\nAnswer: 521684964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*l**3\/2 - 3831*l**2\/2 + 45174*l - 82698 = 0. What is l?\nAnswer: 2, 22, 1253","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**3 - 10*b**2 - 9*b + 13. Let i be a(6). Let j = -3 + i. Suppose j = 51*t - 44*t. Solve -1 = -3*p - t for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.01 - -83.01. Let q = 9.451784487 + -92.451785317. Let j = q + d. What is j rounded to 7 dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 1143 = o, 4*o - 6756 = -3*a - 2199. Suppose -4*h = h - o. What are the prime factors of h?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-13)*k\/k**(4\/5) assuming k is positive.\nAnswer: k**(-64\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 52843 (base 11) in base 12?\nAnswer: 385aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*u + 637780*u**2 - 30*u.\nAnswer: 637780*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -7827*y - 2404. Give i(0).\nAnswer: -2404","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (10\/(-4))\/(5\/(-10)). Suppose 24 = s*l - 56. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -2*w. Let f = 2 - w. Suppose 3*u - 3*j = -f*u + 39, u + 5*j = -9. Solve -c + u*c + 20 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 AM and 1:45 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -34 (b) -0.1 (c) -41.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 0.477, 34\/9, -2\/3?\nAnswer: 0.477","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -448 * -22.\nAnswer: 9856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*t = -1 + 16. Which is the smallest value? (a) 2 (b) 12\/7 (c) 0.5 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 22, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 400, 1133, -1 in descending order.\nAnswer: 1133, 400, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1390728 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192)\/(sqrt(8)\/sqrt(2))*2)\/((1*sqrt(72) - sqrt(72))\/sqrt(12) - (sqrt(216) + 1*sqrt(216))).\nAnswer: -sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33 - 28. Solve -3*z - y + 2 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -3*a. Let y(n) = -5*n + 3*n + 2*n - 3*n. Give s(y(u)).\nAnswer: 9*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/6 + 258\/(-76) + 3.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103751759 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 2)*(1 - 1 - 4)*(-14*c - 14*c + 2*c)*(c + 3 - 3).\nAnswer: 208*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 45077866361 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40396?\nAnswer: 2, 10099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p + 7. Let t = 3 - -8. Suppose -5*h + t = -89. Suppose 6*j - 3*j - w - h = 0, -3*j = -5*w - 40. Determine v(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/((-25)\/(-10)*4\/(-10)*-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 799756051 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -3*n + 22. Suppose -z + 6*z - 62 = -4*i, -z + n = 4*i. Is 7 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(320)*6*-2 + -5.\nAnswer: -5 + 384*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 146*b - 65*b + 340 - 684 + 346 + 21*b.\nAnswer: 102*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -79197143*j**4 + 264*j**2 - j + 3 wrt j.\nAnswer: -1900731432*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 4:51 AM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s and 1 t when four letters picked without replacement from {s: 5, t: 9}?\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 - 8*n + 22. Let d be h(-10). Let i be d\/(-2 + 145\/(-5)). Let u(s) = 3*s + 49. Let t be u(-16). Which is greater: t or i?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 948 is divided by 115?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - 8*u**2 - 6*u + 9. Let n be a(-7). Suppose -6*j + 10 = -j. Find the third derivative of -4*v**j + 4*v**5 + 0*v**n + 5*v**2 wrt v.\nAnswer: 240*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 8887312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (17 - -1)\/(3\/3 + 0). Solve 0 = 3*s + b - 3 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - -1. Suppose -m*i = -2*f - 15, i - 5*f - 3 = -0*f. Solve -i = -5*g + 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.4 - 0.4. What is the closest to i in -2\/7, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -100 + 47.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of x**6\/120 - x**5\/20 - 19*x**4\/24 + 4*x**3\/3 + 399*x**2. Determine p(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 323 by -6.\nAnswer: -323\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3, 9, 11, 9, 3?\n\"Answer: -2*x**2 + 12*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = y - 5, 0*y + 3*y = -3*p. Suppose -6*c + c = t - y, 0 = 5*t + 20. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 37472.5?\nAnswer: 37469.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1340 and 180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/15 in -23, 325.7, 1\/4, 1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2441, -2448, -2459, -2474, -2493, -2516?\nAnswer: -2543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*z = 231832 - 222318 for z.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 0 = 5*h. Suppose -g - 14 = -h*g. Suppose -u = 3*s + g, s = 2*u + 5*s + 4. Calculate the highest common factor of u and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2 = 4. Let d(z) = -h*z - 10 - 4*z + 5*z + 5*z. Let v(t) = -3*t + 9. Let p(g) = 5*d(g) + 6*v(g). Determine p(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -g + 11. Let b = -12 + g. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, a: 2, w: 1, y: 3}. What is prob of sequence eyw?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*y - 38*y = -189. Suppose -3*j = -u + 4*u + y, -3*u = 15. Sort -2, -23, j in decreasing order.\nAnswer: -2, j, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 309527 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 228 = -2*p, 5*h + 5*p - 10129039 = -10129614 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 57769973?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m. Let k(a) be the first derivative of -37*a**3\/6 - 24*a - 35. Let u(x) be the first derivative of k(x). What is u(d(w))?\nAnswer: -111*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4 (b) 2\/35427 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108709?\nAnswer: 108709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 10) to base 3\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lll when three letters picked without replacement from {l: 15, m: 3}.\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -16, -42, -88, -160, -264, -406, -592?\nAnswer: -828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 593 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 2 = 0, 2*o + f + 1225 = 1229 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (158\/4)\/(3\/6). Suppose -3*c - 29 = -4*j + l, -c = 0. Solve -6 = 4*s + 5*h - j, h - 7 = 2*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**3 - 2*l**2 - 2. Determine f(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 7*z - 1. Let r be n(1). Suppose 0 = 3*o + 3*h - 42, -2*o + 29 = 3*h + 1. Suppose r*y - o = 5*y. Does 14 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4834\/239 or 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-300)\/(-140))\/(4\/7))\/((-108)\/(-72))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l - 11. Let z be c(17). Let v be 908 - z\/(2 - 4). Suppose 5*b = v + 544. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112.0874 rounded to 0 decimal places?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - 1112211?\nAnswer: -1112200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 1680 = 48*t, 14590*t + 140 = 14594*t - 4*a for t.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and 1945?\nAnswer: 21395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50841*z - 50749*z + 596 = -3268 for z.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 22060716?\nAnswer: 1\/11030358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - ((-12)\/30 + (-4464)\/15). Let f = 298 - m. Let i be (-1)\/2 - (-10)\/(-12). Which is smaller: f or i?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.392584 rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7\/8 of a milligram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 7022*i**2 + 200*i + 12015. Let y(q) = 56175*q**2 + 1550*q + 96121. Let h(n) = 31*f(n) - 4*y(n). Differentiate h(v) with respect to v.\nAnswer: -14036*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 808 + -808.00613. What is n rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -12. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 9. Let o = -27 - -38. Let d = -15 + o. Which is bigger: d or g?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -37, -4, -10, -33, 0.1?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -15 + 40 - 26 - 6*p. Let u(a) = -a**2. Calculate u(o(s)).\nAnswer: -36*s**2 - 12*s - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 - 11*z - 8. Let k(x) = 3*x**2 + 34*x + 25. Let r(a) = 2*k(a) + 7*y(a). Let h be r(-8). What is the units digit of 3\/(h*(-3)\/(-8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1279 and 55115947?\nAnswer: 1279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1152*w**2 - 69792*w - 1057058 = 0.\nAnswer: -727\/24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -364411, -364413, -364409, -364393, -364359, -364301, -364213, -364089?\nAnswer: -363923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -548*k + 4182 = 214*k - 4962 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -6cbe4 (base 15) to base 5\nAnswer: -42100224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -1 - 5. Does 21 divide (-4 - -14)\/(p\/8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2\/5, -13 in descending order.\nAnswer: 2\/5, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -71504 or -72960?\nAnswer: -71504","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 3:39 AM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -58, -0.4, 6096, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(468)*2 + 3 + 5 + (-2*sqrt(104)*2 + sqrt(104))\/(sqrt(8)*-1*-6).\nAnswer: 8 + 23*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4\/4 - 20*q**3.\nAnswer: -q**3*(q + 80)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172 is divided by 47.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -9*f**4 - 5*f**3 = 0?\nAnswer: -5\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -5*p**3 + 9*p**2 - 7*p - 27. Let y be t(-5). Let h = -833 + y. What is the greatest common factor of h and 425?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-84 + 130 + 96)*(0*g + 2*g**2 + 0*g) + 6*g**2 - 5 + 5.\nAnswer: 290*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -68*o**2 + 143*o**4 + 8*o**3 - 7*o**3 - o + 0*o**3 + 67*o**2 in the form c*o + v + w*o**2 + i*o**3 + l*o**4 and give l.\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (5 + -2)*((-4)\/(-7) - 13288\/(-462)) and 220.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 198 and 17475?\nAnswer: 1153350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1820 + -1795. Calculate the highest common factor of 325 and f.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of -g**6\/120 + g**5\/10 + g**4\/6 - 5*g**3\/2 + 4*g**2. Let a be s(6). Let o be ((3\/a)\/(2\/6))\/1. Solve 0 = -5*v - o - 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2569\/5 + 514. Which is the third smallest value? (a) 5 (b) p (c) -35 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/3 + 85408*n**2\/3 - 4523815*n\/3.\nAnswer: -n*(n - 85355)*(n - 53)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 511606348 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/5*(-20)\/16. What is the third biggest value in 8, d, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - 333121012?\nAnswer: -333121002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7742719?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqoqqooooqqoqoqoqo. What is prob of sequence qoqo?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 181, 3, 58, 2 in ascending order.\nAnswer: -2, 2, 3, 4, 58, 181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4c0 - -1cc00d?\nAnswer: 1cc4cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 3*c + 39, 8 = -a - 5*c - 1. Let z be 0*3\/a - -2. Suppose 4 = -z*b + 4*b. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.37 in -4, -4\/3, -2\/11, -1.67, 0.3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -24615 - 5?\nAnswer: -24623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1495552 divided by 2944.\nAnswer: -508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/6 - 146275*w**2 + 1755309*w\/2 - 1316484.\nAnswer: -(w - 3)**2*(w + 877656)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1204 - -10?\nAnswer: 1214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 5*m = 11, 5*a + 4*m = 3*a - 14. Let x be (-5)\/(-3) - a\/3. Suppose 86 = x*l - 2*v, -205 = -4*l - l + 3*v. Is 11 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of t**6\/140 - t**5\/42 + t**4\/84 + t**3\/21 - t**2\/2 - 2. Let p(r) be the second derivative of m(r). Let p(b) = 0. Calculate b.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 - -10.5. Let t = y + 3. Let k = -22\/315 + -4\/63. Which is the nearest to -1\/3? (a) t (b) 3\/5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.44 and 0.5?\nAnswer: 0.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 230*r**3 + 2431*r**3 - 425*r**3.\nAnswer: 2236*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (656 - 108*d + 44*d + 62*d)*(6 - 2 - 2)*(-3*d + d**2 + 3*d).\nAnswer: -4*d**3 + 1312*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/381 and -37\/11.\nAnswer: 4191","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9633 - -9629. Let s(d) = d**3 - 4*d**2 + 2*d + 2. Let q be s(3). Sort 6, 1, q, g in ascending order.\nAnswer: g, q, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m + m**2 + m**2 - m. Let a(f) = 654*f - 658*f + f**2 + 5*f**2 - 3*f**2. Give a(z(d)).\nAnswer: 12*d**4 - 8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11110 - -111000010101?\nAnswer: 111000110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 0) + -10 - (1 + -6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*l**2 + 13*l**6 + 213 - 23*l**3 + 0*l**2 + 33*l - 155*l - 213 wrt l?\nAnswer: 1560*l**3 - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6\/8995 - 816409\/3202220. Calculate the common denominator of w and -89\/238.\nAnswer: 42364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -411*o + 410*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - u - 10 = 0. Let q = 14 - 13.7. Which is the nearest to -1? (a) -0.1 (b) q (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 99 - 13?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 224021 (base 5) to base 11\nAnswer: 6023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y = -0*y + 396. Solve 40*m - y*m = -8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 948163465?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vppppvli. Give prob of sequence vvi.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -9\/41, -1\/5, 3?\nAnswer: -9\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 PM and 3:16 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 - 7*i - 3. Let b(r) = -5*r**2 + 36*r + 15. Let j(x) = 2*b(x) + 11*g(x). Let d = -7 - -13. Let y be j(d). Solve -q + y + 0 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2044315359?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*d + 40210 = 40*d + 2*j, 5*d - j = 100489. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -20*p + 68. Let s be a(4). What is the units digit of (308\/6)\/((-32)\/s - 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) - 4*(sqrt(102) + (-2*sqrt(102) - sqrt(102)))) + sqrt(102))\/(sqrt(60)\/sqrt(90)).\nAnswer: 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21175 and 175.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/13 - 9224*r\/13.\nAnswer: -2*r*(r + 4612)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, q: 3}. What is prob of sequence qd?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of u**4\/12 - u**3\/3 - 8*u**2 + 72*u + 10. Give i(8).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*-23*(-3 + (-70)\/4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 102245160?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(102)\/(sqrt(6)*2) - (sqrt(2448) + -1).\nAnswer: -23*sqrt(17)\/2 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000518409652 to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240)\/(sqrt(4)*-1))\/sqrt(12) - sqrt(40)\/sqrt(2)*-4)**2.\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -303712525 - 1692.223?\nAnswer: -303714217.223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j - 6*j + 2*j**2 - 39 - 2*j**2 + 41 - 294*j**5 wrt j?\nAnswer: -5880*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/(d*d\/(d\/((d**(-3\/4)*d)\/d)))))**(9\/5))**(-1) assuming d is positive.\nAnswer: d**(-9\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4199 is divided by 1015?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (20\/(-5) - -4)*1\/(-2). What are the prime factors of -70*(j + (2 + 0)*-1)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*v**3 + 2*v**3 + 83*v**3 - 31*v**3 - 31*v**3.\nAnswer: -9*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 819578 + 4*g**2 - 819578.\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -603*v**3 - 3*v**2 + 5*v + 114. Is o(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 28416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -1 - -9) + -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 896\/665 - (-24)\/(-40)*(-35)\/(-15)?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*b = -5*b + 77314 + 10230. Is b at least -2824?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 10) to base 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 571 = -8*p + 707. List the prime factors of 10\/6*3723\/p.\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 1\/5 (c) -3 (d) 0.05 (e) -0.2 (f) 2\/3519\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7440 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/122 and -115\/1346148?\nAnswer: 1346148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8459 or 3\/20?\nAnswer: 8459","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -5, 5 in descending order.\nAnswer: 5, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 566469?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 113, 228, 345, 464, 585, 708?\nAnswer: 833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -1\/11 (b) 1\/4 (c) 529638 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, o: 2, s: 3, p: 1, i: 4}. What is prob of sequence qooi?\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 881*a**3*n**3*r**2 + 24*a**3*n**3*r + 2*a**2*n**3*r**2 - 8*a**2*n**2*r**2 - 31*n**3 + 4*n*r - 1 wrt a?\nAnswer: 5286*n**3*r**2 + 144*n**3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 equal to 2587\/284?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (102\/(-9) + 12)\/(70\/(-6))*(-5)\/(-1).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mcmbbccdzdcbmmzmm. Give prob of picking 1 d, 1 z, and 1 m.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -326730?\nAnswer: -32672a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -17*v**2 - 25*v - 100. Let l be p(-5). Let y = -140 - l. Does 35 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 5, 1, -23867 in decreasing order.\nAnswer: 5, 1, -21, -23867","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1104163 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of 2\/3*z**3 + 3 + 8*z**2 - 5\/2*z**4 + 1\/3*z**6 + 8*z - 2\/5*z**5. Factor q(v).\nAnswer: 2*(v - 2)**2*(v + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -2*j**4\/7 - 2414*j**3\/7 - 183580*j**2\/7 - 1315168*j\/7 = 0.\nAnswer: -1126, -73, -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13390 + 1310*t**3 - 13390.\nAnswer: 1310*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.313 + 0.013. Let o be (2 - -5)\/385 - (-1)\/(-5). Which is the biggest value? (a) o (b) 6 (c) 4 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-2) + ((-35)\/(-10))\/7. Suppose -21*o + 99 - 15 = g. Solve -4 = 5*m + 6, -6 = o*k + 3*m for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4960 rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 786\/2751 + 7 + 972\/(-21)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 2, -2, 62, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -230, -875, -1940, -3425, -5330, -7655?\nAnswer: -10400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, j: 14}. Give prob of picking 3 j.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*j**4*m**3 - 24*j**3*m**3 - 2*j**2*m + j*m**2 - m**3 wrt j?\nAnswer: 72*j*m**3 - 144*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 456575.5 nanoseconds in seconds?\nAnswer: 0.0004565755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 286 (base 10) to base 6\nAnswer: 1154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, g: 7}. What is prob of picking 2 j?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + 8*u**2 - 3*u - 12. Suppose 2*m + 2*m = -32. Calculate the least common multiple of h(m) and (-8)\/(((-2)\/(-2))\/(-1)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -2, 1, -4 in descending order.\nAnswer: 13, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1 + (sqrt(176)*1 + 0 + sqrt(176) - (sqrt(176) + -2 + sqrt(176) + 1)**2)).\nAnswer: -24*sqrt(11) + 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-7)\/(w*w**16))\/(w**(-7\/4))**(-47) assuming w is positive.\nAnswer: w**(-425\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, -20, 79, 306, 703, 1312, 2175?\nAnswer: 3334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k - 1. Let t(b) = 4*b - 6. Let z(q) = -5*f(q) + t(q). Let r be z(7). What is the remainder when 29 is divided by 183\/12 + 2\/r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 2 - 8. Suppose -2*x + 28 = 10. Suppose t + 5 = x. Solve 0 = 3*c + 4*y + 6 - 1, -30 = -t*c + b*y for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -4*k**4 + 280*k**3 + 1168*k**2 - 162904*k + 161460 = 0.\nAnswer: -23, 1, 27, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 5 + 309*f - 256*f - 4. Let y be 1*3 - (-3 - -5). What is the tens digit of a(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -44 - (-104 + 85) - (-1 + -46).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 153587 by -593.\nAnswer: -259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3*(4\/3 - 1). Let b(y) = -5*y - 2. Let x be b(n). Let i(t) = t**2 - t + 1. Let v be i(-4). Calculate the highest common divisor of x and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1010, -2016, -3020, -4022?\nAnswer: -5022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 2285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**5)\/b**(2\/13)*(b*b\/(b\/b**(-2\/3)))**7*(b*b*b**(1\/4))**19*(b*b**(-7)*b)\/b**(-2\/7) assuming b is positive.\nAnswer: b**(39547\/1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*w - 11 + 11 + (15*w + 26*w - 4*w)*(2 - 1 + 1).\nAnswer: 84*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/443?\nAnswer: -2\/443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -49 + 301. Let j be 139\/2 + (-8)\/16 + 3. Calculate the highest common divisor of j and q.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -14 + (-469 - -431).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*v - 72 = -4*p, 9*p + 18 = -10*p + 2*p + 16*p for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-385)\/121 + (-12)\/(-3) + -1. Does 4 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/276 and 151\/18768.\nAnswer: 18768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, e: 1, v: 1, a: 2}. Give prob of sequence aes.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*h = -3*t - 286769046 + 286769521, 2*t - 60 = -5*h for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of -1315*z**4\/2 - 1559*z - 1016. Differentiate j(i) wrt i.\nAnswer: -7890*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2 - 7849818*d - 227646404.\nAnswer: 2*(d - 3924938)*(d + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -38.7126 to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26664 divided by 3333.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -542*z**5 - 256*z**2 + 542*z**5 - 241*z**2 + 142*z**6 + 334*z**6 wrt z.\nAnswer: 57120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uftvd. What is prob of picking 1 u, 1 v, and 1 d?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ueueeeeeeueuee. What is prob of sequence ue?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 131, 3\/4, 0.1, 5.\nAnswer: 0.1, 3\/4, 5, 131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of 2*j**3\/3 - 21*j**2\/2 + 712*j. Suppose 2*f = k + 14, -51 = -4*f + 5*k - 17. Let u be x(f). Is 5 greater than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1188 + 1193. Which is the second smallest value? (a) -0.4 (b) j (c) 1 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16 - -4) + 7797\/(-391)\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 440462880 and 185328.\nAnswer: 1321388640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (((-77)\/66)\/7)\/(121\/1694)\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -129*a - 1601. Give u(-12).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -802 + 802. Solve r = -3*y - 5 + 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -589581 and 7.706.\nAnswer: -589573.294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(24)\/(3*sqrt(16)))\/(((2*sqrt(90))\/sqrt(9))\/(-2*sqrt(180) + sqrt(180) - sqrt(5))).\nAnswer: 35*sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4991 and 248.\nAnswer: 39928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 5*a + 57 - 23, a - 2 = 3*i. Factor 0*n - 8\/3*n**i + 0 + 17\/3*n**3 - 10\/3*n**4 + 1\/3*n**5.\nAnswer: n**2*(n - 8)*(n - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**2 - 1 + 1)*(-2 - 2 + 1)*(-3*h - h + h).\nAnswer: 18*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one quarters of a millennium?\nAnswer: 63000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 5 = -5*a - 5, 12 = -4*k + 2*a for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1.9, -0.4, 8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 4*q - 2 = 14, -q = -2*k - 9. Is k < -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171*a + 164 + 289 = -37*a - 26*b + 23*b, -a - 14 = b for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190*a - 164*a = 344708. List the prime factors of a.\nAnswer: 2, 7, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.8 + 4. What is the nearest to b in -4, 2\/3, 4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h - 1. Suppose 0 = -8*a - 170 + 554. Let y = -42 + a. Calculate x(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/270*7\/(14\/(-16))?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2728*h**2 - 2717*h**2 - 2726*h**2 + 10882*h**2 - 2717*h**2.\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, n: 4, y: 5, e: 5, l: 1}. Give prob of picking 2 n and 2 y.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 - 14*c + 1. Let g(k) = -k**2 - 24*k + 1. Give 3*g(r) - 5*t(r).\nAnswer: 2*r**2 - 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 2) to base 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5.80868 litres?\nAnswer: 5808.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 326, 265, 234, 227, 238?\n\"Answer: -p**3 + 21*p**2 - 117*p + 423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25637 and 992?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/6)\/(1\/(-9))*(-138)\/414?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 6, -92, 5, 21, 2.\nAnswer: -92, 2, 5, 6, 7, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 3)*22\/308\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 - 2)*((-3)\/3 - -4). Let a be 4 - (z - 6\/(-14)). Factor -a*j**2 + 2\/7*j**3 + 0 + 2\/7*j.\nAnswer: 2*j*(j - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8473*t - 133840 = -8483*t. What are the prime factors of t?\nAnswer: 2, 7, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8641339*q**3 + 28500972 wrt q?\nAnswer: -25924017*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 16546, 18343, 20140, 21937, 23734?\n\"Answer: 1797*o + 14749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 347*m**2 + 15948*m - 182. What is u(-46)?\nAnswer: 462","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + 5)*(-8)\/24. Let k be -8*((-9)\/(-6) + z). Solve -o + 10 = k*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1246 and 2926854.\nAnswer: 1246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 76 and -3109351.1309.\nAnswer: -3109275.1309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of 9*f**2 - 10*f + 388. Determine z(2).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence blbj when four letters picked without replacement from {j: 9, l: 1, d: 2, b: 6}.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -26*j + 20. What is a(2)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8588018 is divided by 2862671?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 20, -3*a - 5*v + 363 = -368. Calculate the highest common divisor of 441 and a.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-1 + sqrt(304)*-4 - (3 + (sqrt(684) - (-1 + sqrt(684))))))**2 + 4.\nAnswer: 32*sqrt(19) + 4869","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/4 - 2 - 4110\/(-8). Let d = l + 1218. Does 16 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 12, f: 7}. Give prob of sequence faff.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 845509.01?\nAnswer: -845512.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54 and 486.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 2. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*l**2 - 9 - 17*l**3 - 19*l**2 + 16*l**3 to the form k*l + t*l**2 + b*l**3 + f and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) -0.4 (b) 0.24 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 410048, 412116, 414170, 416204, 418212, 420188, 422126?\n\"Answer: -d**3 - d**2 + 2078*d + 407972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3337?\nAnswer: 47, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 11, e: 9}. What is prob of picking 1 h and 3 e?\nAnswer: 308\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(4\/3)*l**4*(l*l**1)**(-10\/9)*(l**6*l**(-8)\/l)**(-42) assuming l is positive.\nAnswer: l**(1162\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 11*y**2 - 3*y - 4. Let h be r(3). Suppose 4486 + 104 = -102*u. Let v = u + h. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1270 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: Expand 0*u**2 + 0*u**2 + 4*u**3 - 26 + 26 + 10*u**3 + (-1 + 1 - u)*(-u + u**2 + u).\nAnswer: 13*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -5 (c) -2.34 (d) 2 (e) -98\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 24617?\nAnswer: -24623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/554 - 298110\/(-2447295).\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109344 at most as big as 109351?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -6081120 divided by -6081120?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2\/3*4278\/92\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7*15558 - ((-18)\/8 - 90\/(-72)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 143 - 5?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-six fifths of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than -0.573?\nAnswer: -0.673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*u**2 + 2*u**3 + 0 - 4 - 10*u**2 - 1 in the form f*u + o*u**3 + x + v*u**2 and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2928.5 + -2929. Sort -17\/6, 3\/5, q, 4, -3\/4 in ascending order.\nAnswer: -17\/6, -3\/4, q, 3\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - -2. Suppose 6 = n*q - 18. Let z(b) = 4*b**4 - 3*b**3 - 2*b + 1. Let p(c) = 5*c**4 - 4*c**3 - 2*c + 1. Let w(t) = q*z(t) - 5*p(t). Factor w(f).\nAnswer: -(f - 1)**3*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6878813 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 - 3*s + 5. Let c be h(4). Suppose -o = 2*o + c. Let t = 1 - o. Solve -l - t = l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 812*a**3*w**3 - 2*a*w + 390*w**3 wrt a.\nAnswer: 4872*a*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -79*t + 12. Let j(i) = 26*i - 4. Let s(r) = -11*j(r) - 4*z(r). Is s(11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*j + 4*d, -j + 1 + 0 = -3*d. Solve -x = j - 6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 93*s**3 + 13578*s**2 + 42*s + 6145. Determine l(-146).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2800*p + 20033. Calculate f(-7).\nAnswer: 433","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.136233 and 0.42?\nAnswer: 0.05721786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -632, -661, -772, -1007, -1408, -2017, -2876, -4027?\n\"Answer: -7*t**3 + t**2 + 17*t - 643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + -10. Suppose 2*q = -3*q + 15. Sort a, -2, q in ascending order.\nAnswer: -2, a, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160*x**3 + 182*x**3 - 45*x**3.\nAnswer: 297*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n + 47 + 48 - 18*n**2 + 41 - 142 + 51*n**2 as k*n + p*n**2 + u and give p.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8, -2, -6\/11, 4, 279.6, 2\/19, 4\/3?\nAnswer: 279.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/(-60)*(-21)\/(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 14838*b**2 - 14837*b**2 + 1 - 4.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -25, 0.4, -4, 82, 2, 0.33 in increasing order.\nAnswer: -25, -4, 0.33, 0.4, 2, 4, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/4 - 294*v + 238815\/4.\nAnswer: (v - 915)*(v - 261)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 m when four letters picked without replacement from {f: 4, m: 7}?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h - 2*d - 6, -59*h + 5*d = -54*h - 5 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -63*l**3 - l - 1. Let v = 12 - 9. Let m(b) = 64*b**3 + 2*b + 2. Let s(i) = v*f(i) + 2*m(i). Is 11 a factor of s(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 236 a factor of 16482970?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = k + k. Which is bigger: k or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1487 - 1483. Solve 0 = -k*z + 4*i + 3 + 1, 3*i = 2*z - 7 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 5*u**3 - 4*u**2 - 4*u. Let p(m) = -m**2 - m. Suppose 60 = -6*j + 54. What is j*q(l) + 4*p(l)?\nAnswer: -5*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13344 = 16568*j + 370525 + 90155 for j.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 5 (b) 0.67 (c) 3 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 59487 + -59480.1901. Let y = 56.7789 - g. Let h = 50 - y. What is h rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.7, -3060 in descending order.\nAnswer: 0.7, 0, -3060","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 300 and 120.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 131\/143 + -5\/11. Let s = -542 + 542.956. Let g = s + 0.044. Put -1\/7, g, b in ascending order.\nAnswer: -1\/7, b, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 4*c + 2 = 4*d, 4*c = d + 9. Let z(x) = 3*x**c + x**2 - x + 131992*x**3 - 4*x - 37591*x**3. Let p be z(-5). Round p to the nearest one million.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1675476\/(-176) - 2\/3. Let x = 9514 + y. Calculate the common denominator of x and (-79)\/(-20) - (-2)\/(-8).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18686 = -24*t + 12322. What is the greatest common divisor of t and 136?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/7 - 316*d\/7 + 12482\/7.\nAnswer: 2*(d - 79)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2377971 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 190 a multiple of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 0.2, -1\/4, 3\/2, -2\/11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of -1\/60*y**5 + 0*y + 5*y**2 + 0 + 0*y**4 + 0*y**3. Let u(q) = -q. Give u(z(r)).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 + -11. Let q(k) be the first derivative of -2*k**2 + 10*k + 42. Calculate q(y).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 3*k - k - 10 = 0, 2*r - 2*k = 20. Suppose 0 = 2*z - 4*n + 12, r*n - 4 = -z + 11. Is z equal to 7\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7126066841 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.55 + -0.020644?\nAnswer: 0.529356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 4 = n. Let v(w) = 2*w**3 + 10*w**2 - 13*w - 5. Let h be ((-5 - 0) + 1)*3\/2. What is the smallest common multiple of v(h) and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 659.1176 millennia to centuries.\nAnswer: 6591.176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-48) + 119\/(-56).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 7*u - 5*u + 20 = 0, -4*u = 4*v + 4. Let h(l) be the second derivative of 0*l**2 + 0 + 7*l - 1\/3*l**v. Let b(g) = -2*g**2. Give b(h(c)).\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {b: 4, l: 2, y: 1, v: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5293647 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -441835 - 716*f + 441835.\nAnswer: -716*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2 + 67506544*r - 569641685352992.\nAnswer: -2*(r - 16876636)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2133873 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 5) to base 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 427 is divided by ((-360)\/(-6))\/(-10) + 146?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/20)\/((-2)\/5*(-132)\/(-66)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of 463*g**4\/6 + 19*g**3 - g**2\/2 - 2684*g. What is the second derivative of s(r) wrt r?\nAnswer: 1852","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 584732220 and 13110.\nAnswer: 584732220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g - 8*g - 640 = 0. Suppose 18*t = 14*t - g. Let k be 6\/(-4)*t\/6. Calculate the highest common factor of 80 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x + 25. What is m(10)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i - i + 3*i)*(-i - i + i) + 737 - 737 + 124*i**2 + 4*i**2 - i**2 - 5*i**2 + (-2 - 1 + 2)*(-i**2 + 3 - 3).\nAnswer: 124*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-70)\/2 + 60\/15. Let k = 46 + c. Does 15 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + -210c5c?\nAnswer: -210c59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z\/(z**(-2\/5)\/z))\/z*z)\/(z**(1\/8)*z))\/(z**2)**25)**(-24) assuming z is positive.\nAnswer: z**(5847\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -79*z + 1260. Let f be r(15). Calculate the highest common factor of f and 160.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 195 and 11505.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 2*t**3\/9 + 46498*t**2\/9 - 46504*t\/9 - 31000\/3 = 0.\nAnswer: -23250, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 9, t: 9}. Give prob of picking 1 t and 3 r.\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -5*t + 12. Calculate h(9).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (((-2245)\/449)\/(-4 + 1))\/(25\/345)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/3, -3003, -2, -1, -3 in descending order.\nAnswer: -1, -5\/3, -2, -3, -3003","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3737*v + 405284 = 415*v for v.\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -5*l + 5*s + 25, -4*s = -l + 8. Let b(i) = -5*i**3 - 3*i**2 - 2*i - 4. Let c(y) = 14*y**3 + 8*y**2 + 6*y + 11. What is l*c(z) + 11*b(z)?\nAnswer: z**3 - z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 16. Suppose 21 = -4*g - x. Let f = -13 - g. What is the second biggest value in f, 0.5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 AM and 8:58 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -6*l + 69. Calculate x(13).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -57969*q - 15972.\nAnswer: -57969","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 716810 is divided by 71680?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -84*v**5 - 58444*v**4 - 218184*v**3 + 337536*v**2 - 110720*v = 0.\nAnswer: -692, -5, 0, 4\/7, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -11, -233 in decreasing order.\nAnswer: -5, -11, -233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5876 >= 12.25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2491438 - 6?\nAnswer: -2491443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5*i - 160 = 0. Suppose 2*j = 7*j - i. Suppose w - 3*l - 12 = 0, -l - 1 = -4*w - j. Let z(b) = -b**2 - 2*b - 4. Determine z(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of -13*n**4\/24 + 5*n**2. Let q(b) = -2*b. Give y(q(p)).\nAnswer: 26*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 495 is divided by 91?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111010 + -111?\nAnswer: -10000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -28*f**3 + 2*f**2 - 113*f - 115. Let x be g(-1). Solve -65*n + 64*n = -s + 8, -4*s + x = -3*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18\/653 + 50569\/10448. Let d be (1*2)\/2 - (-22 - -21). Calculate the common denominator of 200\/128 - 1*d and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-6)*(-17 + -10). What is the highest common factor of n and 144?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -4*q**2 - 3 - 4*q + q + q. Let m(w) = 7*w**2 + 4*w + 5. Calculate -5*a(z) - 3*m(z).\nAnswer: -z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10319 is divided by 356?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86552 is divided by 183.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -30*((-4)\/3 + (-6)\/(-18)). Let b be (c\/20)\/((-2)\/(-12)). Solve 0 = -4*h - b + 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2709671 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - (-3 - -2))*19\/(-19). Calculate the highest common divisor of d and 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of -325*n**3\/3 + 2687. Let y(t) = -2*t. Calculate y(b(c)).\nAnswer: 650*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, j: 6, x: 5, l: 1}. What is prob of picking 2 j and 1 l?\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = -6*a + 2575. Solve 424*u = a*u - 12 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11661 + 31474. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6522, 6505, 6488, 6471, 6454, 6437?\n\"Answer: -17*o + 6539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-3))\/((224\/24)\/14).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m. Suppose -3*p + 9 = 3. Let c(h) = -2*h**2 + h**p - 5*h**2. Calculate z(c(x)).\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -19\/2111 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x + 39280 = 39247. What is the nearest to 0.1 in -6, 2\/9, x?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 365400 and 15858360.\nAnswer: 79291800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.07 + -0.02. Let y = i + 0.35. Which is the smallest value? (a) 2 (b) y (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ziikz. Give prob of sequence kii.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -116. What are the prime factors of t?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/6)\/i)\/(i*i**(-1\/2)*i)*i**2\/(i\/(i**4*i))*(i**(-2\/5))**(-24\/7)*i**(-1)\/i*i**(2\/15)*i assuming i is positive.\nAnswer: i**(146\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6537941 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1396\/7 - ((-1740)\/(-140) + -13). Let i = -29 + 109. Calculate the greatest common factor of g and i.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**7*z**(-3\/4))\/(z**5\/(z\/(z*z**5*z))))\/(z*z**(-6)*z**(-3\/5)*z**(1\/2)*z*z**2) assuming z is positive.\nAnswer: z**(-53\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -923*l + 15692. Calculate w(17).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30899297 a multiple of 143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 12*s - 30. Let z(h) be the third derivative of -1\/5*h**5 + 0*h + s*h**2 - 1\/2*h**4 + 0 + 0*h**3. Find the second derivative of z(l) wrt l.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**3 + 10916*x**2 + 3639*x.\nAnswer: -x*(x - 3639)*(3*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 231*a + 3518 = -87*a - 13654 for a.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of u**2\/2 + u. Let v(d) = 3*d - 4. Let j be (-3)\/((-9)\/(-24)*-4). Suppose -3*w = -w - j, 3 = 4*r - w. Give r*v(s) + 6*k(s).\nAnswer: 3*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -0*l - 3*u - 147, 7*l + 22 = 10*l + 2*u - 140 for l.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/7 (b) -14 (c) -0.2 (d) -3\/7 (e) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46689598?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1872 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/4 + 1110238*y - 4440956.\nAnswer: (y - 4)*(y + 4440956)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, p: 1, g: 6}. What is prob of picking 2 g?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 523534 and 8162?\nAnswer: 1166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/15 + 27\/135?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5451215629 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 2. Suppose -d*n - 9 = -45. Is 21 a factor of n\/18 - (-250)\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lunaomu. What is prob of sequence lo?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14290313603 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 128.587 less than 0.08?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -3. Let x = 5 + -1. Let g be 11\/x + (-2 - 1). Sort g, 1\/4, z in ascending order.\nAnswer: z, g, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, -9, -1, 264, 0, 6 in descending order.\nAnswer: 264, 6, 4, 0, -1, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-4)*(-45)\/20)\/((-7)\/(49\/21)).\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-60)\/8)\/(3\/(-4)). Let f(q) = -q**3 + q + 2. Let x be f(2). Let i be (-9)\/x*k\/(-15). Is 1 >= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -51, 4, 34, 0.\nAnswer: -51, 0, 3, 4, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110579 is divided by 6911.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 - -10. Suppose -3*u - 3 = v, -3*a = -7*a + 2*u + 58. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 267606 to the nearest integer?\nAnswer: 517","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 2*z - 2, 0 = 2*i - 7*z + 3*z - 4. Let p(o) be the third derivative of -o**6\/120 - o**5\/60 + 2920*o**2. Let y be p(i). Solve -6 - y = -2*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (270\/585 - 20\/(-13))*5\/2. Sort 4, 12, -38, f, -2 in decreasing order.\nAnswer: 12, f, 4, -2, -38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o - 1. Let w(j) = j**3 + 5*j**2 + j + 1. Let u(m) = 3*p(m) + w(m). Give u(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00274541 to four dps.\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 + 19*i - 6. Let f(p) = -3*p**2 - 57*p + 17. Determine 4*f(t) + 11*j(t).\nAnswer: -t**2 - 19*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1136, -2010, -2266, -1598, 300, 3734, 9010?\nAnswer: 16434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*a = 29*a. Which is smaller: a or 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -6. Let j = -2 - w. Suppose 27 = 3*p - p - c, p + 2*c - 16 = j. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110122011 - 221?\nAnswer: -110200002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-3))\/((21\/(-81))\/(4\/(-12)))\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bmd when three letters picked without replacement from bmwiidciibcc?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100010010 - -1110?\nAnswer: -100000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -13 and -4\/11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 3405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -23*h + 73. Let c be n(3). Solve 20 - 4 = c*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 55311, 55311, 55303, 55281, 55239?\n\"Answer: -x**3 + 2*x**2 + x + 55309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9546595 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*f**4*r + 1293*f**2*i + 429*i*r - 30*i + 1 wrt f?\nAnswer: -8*f**3*r + 2586*f*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9769633 to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-1\/3))\/l**6)**(-10\/7)*(l**1*l**6)\/(l**(2\/3)*l*l*l)**(1\/2) assuming l is positive.\nAnswer: l**(71\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-98)\/(-6))\/((-140)\/(-120)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99479 is divided by 5847.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + 1 + 0 + 2. Suppose j + q = 2*j. Let x(m) = m**3 + 4*m**2 + 5. Let f be x(-4). Solve 2*p = -f*b + 20, 0 = -j*p + 3*p - b + 4 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 6*b**2 + 7*b - 15. Calculate d(7).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5165995970 to the power of 1\/5, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -4, -2, -286 in ascending order.\nAnswer: -286, -4, -2, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 6*f**2 - 7. Let y(b) = -b**2 - 5*b - 2. Let r be y(-5). Let o(l) = -3698286*l - 2 + 3698286*l + 2*l**2. Determine r*k(t) + 7*o(t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -28 + 21.9. Round r to zero decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 PM and 3:23 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 PM and 10:43 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -72\/7385 and -1\/6?\nAnswer: 44310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/5 + 1046*k**2 - 285631*k\/5 - 311756.\nAnswer: (k - 59)*(k + 5)*(k + 5284)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 3*q + 2*q - q - 19 = 0, 150*q = 20*b + 151*q + 29 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one fifths of a hour in seconds?\nAnswer: 51120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31453 and 7531.\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -39*m**4\/2 + 114*m**3 - 393*m**2\/2 + 84*m + 18 = 0.\nAnswer: -2\/13, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 h when three letters picked without replacement from {h: 2, d: 9, r: 1, l: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) 2 (b) 0.3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -2, -3\/11, 3\/5?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - p = 4, t + 0*p = 3*p + 4. Calculate the common denominator of t\/2*0 + 21 and -47\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/42*(-7)\/((-35)\/4)*(-1830)\/2440?\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 87?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 419 + -655. Let l = y + 391. List the prime factors of l.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 v when three letters picked without replacement from vxxx?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s\/s**(8\/9))\/s**(-1\/4)*(s*s*s**8)**(-8\/9))**(1\/43) assuming s is positive.\nAnswer: s**(-235\/1548)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of -2*c**4 - c**3\/3 + c**2 - c + 77. Let v(n) = n**2 - 2*n - 7. Let w be v(4). Calculate i(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 855561148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 2 - 14. Suppose 3 = l - r*l. Which is the nearest to 5? (a) -0.2 (b) 0 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 508.877 + 1313937332.\nAnswer: 1313937840.877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1294 + 1312.18. Let g = m - 18. Let f = 0.1799958 - g. What is f rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 3 = 5*i + 4*l, -2*i + 14 = -5*l. What is w in 4*w**4 - 7*w - 5*w**i + 5*w + 2*w**5 + w**2 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -10*a**2 - 32*a - 271. Let m(w) = -3*w**2 - 12*w - 90. What is -11*m(b) + 4*t(b)?\nAnswer: -7*b**2 + 4*b - 94","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 131522 by -2.\nAnswer: -65761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 329 - 343.3. Let i = t - -14. What is the third biggest value in i, -3, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t**3 - 585*t**2 - 65*t + 66289. Give k(-292).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**2)\/(m*m\/(m*m**0*m)))\/(m**(-1\/7)*m\/(m*m**(-3)*m))*((m*m**2)**(-3\/8))**(-11) assuming m is positive.\nAnswer: m**(533\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 + 6*m + 7. Let q be g(-5). Let d be (4\/6)\/(30\/(-9)). Let p = -518.9 - -518.7. Which is the nearest to p? (a) d (b) q (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*q + 0*q - 6*q)*(8*q + 6*q - 3*q)*(2*q + 3*q - 6*q) in the form a*q + o*q**2 + t*q**3 + f and give t.\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*z**5)*(-1 - 4 + 4)*(-2 + 2 + 1)*(-2 + 3 - 2).\nAnswer: 2*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -23. Calculate the remainder when j is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of u**5\/60 + u**4\/24 - u**3\/6 + u**2. Is 2 a factor of t(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -23574 bigger than -23574?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1158?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of (-1160)\/(-100) - (-2)\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -51 + 54. Let q(w) = -68*w + b*w**2 - 69*w + 138*w. Let p be q(-1). Solve -2*o = -p*z + 6*z - 6, 2 = 3*z + 4*o for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*s - 14*s + 165978516*s**2 - 165978521*s**2.\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 8351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15218 - -6.\nAnswer: 15224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/11 - (-282)\/22. Let a = 2 + w. Suppose -5*u - 5*q - a = 0, -5*q - 12 = -3*u - q. Solve -2*v + u*v = -4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 + 11*y**2 - 12*y + 7. Let w be a(-12). Let q be w\/14 - 1\/(2\/1). What is the fourth biggest value in 1, q, 13, 2\/9?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -435 + 31*a - 433 - 430 - 436 - 438 + 2174.\nAnswer: 31*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -71*h - 77*h + 206*h - 68*h + 4. Give m(3).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -784.2 + 784. What is the fourth smallest value in -0.05, j, 1\/12, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 443393?\nAnswer: 31, 14303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 707 divided by -679\nAnswer: -101\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -0*a - 156. Let r = a + 35. Round r to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98179079 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -14*z**2 - 8. Let l(t) = t**2 + 20*t. Calculate l(k(d)).\nAnswer: 196*d**4 - 56*d**2 - 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.07 + -0.16. Let q = -20 - -19.88. Let k = p + q. What is k rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.363 + -2.2119. What is h rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000102822215 rounded to 5 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 - 9. Let p = -3.0000012 + h. Round p to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 4*p - 16, -1 = -2*q + 5*p + 10. Suppose 2*j + 33 = 3*c, 0*j = -q*j - 9. Suppose -c = -o - 0. Solve 0*x = x - 3, h = -4*x + o for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 63 - 33. Let y = q - 27. Suppose -5*p + 97 = 3*w, w + y*p + 0*p - 31 = 0. What is the remainder when w is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 PM and 9:49 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27 and 1674.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -169, -687, -1561, -2797, -4401, -6379, -8737?\nAnswer: -11481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*r*t**5 - 10*r*t - 123*r + 2*t**5 - 870*t**2 - t - 1 wrt t.\nAnswer: 60*r*t**3 + 40*t**3 - 1740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 88, 83, 68, 43, 8, -37, -92?\nAnswer: -157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 4*n = 3*d - 50, 5*d + 5*n - 60 = 0. Let c(m) = m**3 + 9*m**2 - 5*m - 19. Let u be c(-9). Differentiate -18*y**3 + u + d*y**3 - 27*y**3 wrt y.\nAnswer: -93*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 62205 and 3510.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/10)\/(0 + (-9)\/12)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + 16*u**2 - 56*u + 17. Let r be k(11). Let n be 2 - ((-20)\/6 - (-10)\/(-15)). Calculate the greatest common divisor of n and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 5*f = 15, 2*f = v - 2 + 1. What is the common denominator of 95\/8 and v\/80*-4*53\/(-4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24.2452*-0.6\nAnswer: -14.54712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1562*d**2*v**4*x - 255*d**2*v**2*x - 13*d**2*v**2 - 18*d**2*x + 4037*v**5 + 230*x wrt v?\nAnswer: 37488*d**2*v*x + 242220*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -283 - -451. Let j = u - 164.92. Let k = j - 0.08. Put -0.2, -1\/9, k in decreasing order.\nAnswer: k, -1\/9, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 0, 0.2032, 5, -1.5?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 6*q - 4. Suppose 64 = 4*d + 16. Suppose 4 = 2*f - d. Let p(g) = 3*g - f*g - 4 + 4 + 3. Calculate 5*p(b) + 4*z(b).\nAnswer: -b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12031 - 12031.000090412. Round m to 5 dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (96\/378)\/8*(300\/(-10))\/10.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2376*c + 5945*c + 5795*c as g*c + d and give g.\nAnswer: 9364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 5*v + 128 - 48 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of 2*r**6 + 33*r**5\/20 - 6*r**4 - 11*r**3\/2 + 6*r**2 + 2*r. Determine j so that q(j) = 0.\nAnswer: -1, -4\/5, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that z**2\/7 - 1348*z\/7 = 0.\nAnswer: 0, 1348","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6 - 4*a**3 + 8*a**3 + 3*a**3 - 6 wrt a?\nAnswer: 21*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1121 - -11220002?\nAnswer: 11211111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 161301 to the nearest integer?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -4. Suppose 0 = -8*u + i*u - 150000. Round u to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-42)\/(-231) - 2253\/(-11). Solve -c*m + 6 = -203*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -5*h**2 - h. Let f(a) = 11*a**2 + 3*a + 1. Let d(r) = -2*f(r) - 5*n(r). Let x(u) = 7*u**2 - u - 4. Let z(w) = 5*d(w) - 2*x(w). Calculate z(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(2448)*-3)**2 + -3 + (1*sqrt(85)*-5 + sqrt(85))\/sqrt(5)*-1.\nAnswer: 4*sqrt(17) + 22032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) -2 (c) -43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1040 and 3250.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -190*a**2 - 166*a**2 - 86*a**2 + 34*a**2 - 7.\nAnswer: -408*a**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of a**7\/1260 - 2*a**6\/45 - 13*a**5\/45 - 269*a**3\/3 - 277. Let k(m) be the third derivative of b(m). Factor k(t).\nAnswer: 2*t*(t - 26)*(t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millimeter in nanometers?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*v**3 + 20*v**2 - 25*v = 0. Calculate v.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 14683059 to the power of 1\/2, to the nearest integer?\nAnswer: 3832","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -8*w. Let y(a) = -57*a**2. Give l(y(c)).\nAnswer: 456*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1254192 a multiple of 348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by 1473817.\nAnswer: -10\/1473817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -5461*s + 2. Let o(a) = 39826*a - 39828*a + 2 - 2. Calculate r(o(j)).\nAnswer: 10922*j + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3*y - 2. Let z be k(1). What is the highest common divisor of 7 and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t**2 + t + t + 27 + 3*t**3 - 27. Let b(p) = 12*p**3 - 9*p**2 + 9*p. Calculate 2*b(z) - 9*f(z).\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 + 29. Does 12 divide n*((-21)\/(-15) + 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**1)**23\/(m*m**(-1\/4)*m**(-1)) assuming m is positive.\nAnswer: m**(93\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, j: 9}. What is prob of sequence oo?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 - 18\/(-5) - 5. Let v = -19\/5 - j. Let 2\/5 + 1\/5*n**2 - v*n = 0. What is n?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -212 - -218. Let f = -36765988.0000132 - -36765994. Let u = g - f. What is u rounded to six dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 287, 8 in ascending order.\nAnswer: 3, 8, 287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 10*k**3 - 6*k**2 - 2*k - 6. Let r(a) = -30*a**3 + 17*a**2 + 5*a + 17. Let i(u) = -17*n(u) - 6*r(u). What is the second derivative of i(o) wrt o?\nAnswer: 60*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 3*f = 30. Suppose 52 = -25*s - 73. Let d be (s - 0)*6\/f. Round d to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 9*u. Let r(w) = 21*w**2 + 22*w**2 - 11*w**2 - w**2 + 0*w**2. What is m(r(t))?\nAnswer: 279*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -5*y + 50, -5*y + 4*x = -2 - 48. Suppose -8 = -4*b, -2*t + 2 = 3*b - y. Factor h + h - h**t - h**3.\nAnswer: -2*h*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (73 - 36 - 146)*(0*n**3 + 0*n**3 + 2*n**3) to the form a*n + g*n**2 + s + m*n**3 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.057913 to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 + -23. Suppose -2*i - 3 = n. Which is the nearest to i? (a) 0.3 (b) -2 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 3*p = 145 - 48, -4*o = 2*p - 60. What is the remainder when 100 is divided by o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 200, 1820, 6186, 14660, 28604, 49380, 78350, 116876?\nAnswer: 166320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve -98*a = -35*a + 98*a + 4508 for a.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of -a**9\/3780 + 17*a**4\/24 - 21*a**2. Let m(b) be the second derivative of z(b). Suppose m(i) = 0. Calculate i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/108*48\/(-896)?\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 93*c**2 + 9*c - 1. Let y = -971 - -973. Does 8 divide p(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -4 - 6. Suppose -5*t - 2*y = -253, l*y - 71 - 194 = -5*t. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/5*n**2 + 21\/5 - 18\/5*n.\nAnswer: -3*(n - 1)*(n + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 86139 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -124, 16, -6, 0.\nAnswer: -124, -6, -5, -3, 0, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 (base 14) in base 4?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -352 + 352. Let f(j) be the third derivative of 0*j**5 + g*j + 9*j**2 + 1\/60*j**6 - 1\/4*j**4 + 0 - 2\/3*j**3. Factor f(c).\nAnswer: 2*(c - 2)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 469348141?\nAnswer: 469348141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17479 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 3 j when four letters picked without replacement from jjjjjjqqsssssssslj.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/(-16) + 5 - (-20)\/80?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10221?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/s**(-3\/5))\/s)\/s)**(-5\/8)\/(s*s\/(s*s**(-5\/7))*s*s*(s*s**(2\/83))\/s) assuming s is positive.\nAnswer: s**(-8107\/2324)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*w + 72 = 51*w for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/179 in -1, 5, 15, 2, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-52)\/(-1105)*(-665)\/38*-3\nAnswer: 42\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 173*h**3*q**2 + h**3*q + 10*q wrt q.\nAnswer: 346*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-18)\/(-60) - 3\/(-6). Let s = 10.74 - 2.04. Let l = 9 - s. Which is the third biggest value? (a) 0.09 (b) l (c) f (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from npmnxqppmpxmppqxnm. What is prob of sequence mx?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 303, 2493, 8439, 20019, 39111?\n\"Answer: 313*h**3 - h - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence em when two letters picked without replacement from {m: 1, q: 2, o: 1, c: 2, e: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -480*a**2. Let d(u) = -2*u + 8. Let w(m) = -1. Let q(y) = d(y) + 8*w(y). Calculate q(l(x)).\nAnswer: 960*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5\/12, -1\/2, -6\/13?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14174517 (base 8) to base 15.\nAnswer: 435ea1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11*d**2 - 298943*d + 22970596?\nAnswer: 22*d - 298943","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, 12, 0.2, -11, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 248 = -20. What is the tens digit of -3 - u\/(-24) - (-24906)\/36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of -3*g**4\/4 - g**3\/3 - 8*g + 16. Let y(j) = 5*j**2. Calculate q(y(d)).\nAnswer: -225*d**4 - 10*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2683 rounded to 1 dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 239 divide 142444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 183509\/24 - 7655. Let w = 49\/6 + k. Let t = -31\/24 - w. Do t and -0.3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1001*x + 274*x = -8542250. Determine u so that 4\/5*u**4 - x*u - 6250 + 1470*u**2 - 298\/5*u**3 = 0.\nAnswer: -1\/2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from mmmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -7. Solve 2*v = -2*c - 2 - 0, -41 = x*c - 4*v for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4155, -4100, -3963, -3702, -3275, -2640, -1755, -578?\n\"Answer: 7*n**3 - n**2 + 9*n - 4170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-4)\/q**6)\/(q**(-2\/5)*q*q\/(q\/(q*q\/(q\/(q*(q**(1\/7)*q)\/q*q)*q)*q)*q)*q*q) assuming q is positive.\nAnswer: q**(-516\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 AM and 10:58 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-14)\/7)\/(-1 - (-641464)\/641480)?\nAnswer: 5, 7, 29, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -17247 and -17246 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.487 + -28.513. Which is the nearest to k? (a) -0.1 (b) 2 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 24*l - 1115. Calculate i(47).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -526*v = -550*v - 72 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cwvnlkvk. Give prob of picking 1 w and 1 k.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -210*a**3 + 66741*a**2 + 93144*a + 26652. Let h(k) = -15*k**3 + 5134*k**2 + 7165*k + 2050. Let m(d) = 27*h(d) - 2*t(d). Factor m(g).\nAnswer: 3*(g + 1)*(g + 341)*(5*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u**3 + 16*u**2 + 10*u + 87. Calculate f(13).\nAnswer: -1473","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 316 or 119?\nAnswer: 119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 6) + 0 - (16 - 20).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 + a - 1. Let p be v(1). Suppose 0 = 25*c - c + 48. What is the third smallest value in c, p, 0.59, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -19*f**2 - 5*f. Let t = 1 - -1. Let m(v) = -9*v**2 - 2*v. Let g(h) = t*j(h) - 5*m(h). Let b(o) = 2*o. Determine g(b(x)).\nAnswer: 28*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of 1\/6*p**3 + 1\/12*p**4 + 0*p + 1\/60*p**5 - 17*p**2 + 0 - 19\/40*p**6. What is the tens digit of v(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 PM and 6:44 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(49)\/(sqrt(7) + (sqrt(7) - 5*sqrt(35)\/sqrt(5))) - (4 + sqrt(7)*1 - 2*sqrt(448))) + -2)**2*5.\nAnswer: -880*sqrt(7) + 69380\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 7*j**3 + 2*j**2 + 3*j. Let b(a) = 34*a**3 + 11*a**2 + 16*a. Determine -2*b(q) + 11*w(q).\nAnswer: 9*q**3 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 PM and 6:18 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 549704405 to the power of 1\/3, to the nearest integer?\nAnswer: 819","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-225)\/(-40) - 129\/(-216).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 5*u - 9. Suppose 3*r + 3*i = 6, i + 13 = 2*r + 2*r. What is the remainder when r\/((9\/12)\/1) is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7003, -29319, -66509, -118573, -185511?\nAnswer: -267323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1276173 divided by -17?\nAnswer: 75069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kjreerjooeekk. What is prob of picking 2 o?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 3:17 AM?\nAnswer: 11:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -359*r - 173*r**2 + 357*r + 153*r**2 - 4 as n*r + f*r**2 + j and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1451*o = 133*o + 76*o + 6749 + 6531 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31 + -29. Let m be -1*(-7 - (0 - 1 - n)). Suppose 3*k = -m*t + 88 + 3, 0 = -3*k - 3*t + 96. What is the remainder when k is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of -a**4\/72 + a**3\/6 + 10*a**2\/3 + 6748*a. Factor v(d).\nAnswer: -(d - 10)*(d + 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2\/3, -193372 in descending order.\nAnswer: 2\/3, -1, -193372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/8 and (-22*2\/(-768))\/(22\/44).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43280 divided by -40?\nAnswer: -1082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 4*v**2 + 13*v + 133. Let x be l(-4). Solve -x - 143 = -32*j for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2542, 2595, 2716, 2941, 3306, 3847, 4600?\nAnswer: 5601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3 - 4\/(-6))*-18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m + 1. Let l be 1\/(4\/42)*1020\/85. Let q(o) = -l + o + o**2 - 6*o - o + 0*o + 131. Determine -4*c(s) + q(s).\nAnswer: s**2 - 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 601, -5, 0, 1\/10, -1 in descending order.\nAnswer: 601, 1\/10, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -3*g**2 - 81*g + g**2 + 85*g + 4. Calculate f(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**3 + 15*h**2 - 15*h + 5.\nAnswer: -5*(h - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g + 5. Let z be a(0). Suppose -5*m = 4*t - 366, -z*t + m = -351 - 92. Does 16 divide (-5 + 4)\/(-1) + t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -5, -43, 84 in decreasing order.\nAnswer: 84, -5, -12, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.432367 months in years?\nAnswer: 0.95269725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, m: 2, g: 3}. What is prob of picking 1 g and 1 c?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5 and 9940.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-75) + (-2 - -584)*(-65)\/(-2925).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1989 by -8.\nAnswer: -1989\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6167026?\nAnswer: 2, 3083513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 700 and 45803700?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 361*o - 428*o + 17755. What is the greatest common factor of 130 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {o: 1, p: 2, i: 4, e: 2, r: 2, w: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in eleven quarters of a meter?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 288 a factor of 7705?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 + 50. Let d = 71 - k. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.96 + 0.04. Let h be 2\/((-36)\/(-50)) - 3. Put h, -1\/3, y in descending order.\nAnswer: y, h, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 984822 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21 - 3131024?\nAnswer: -3131003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 c when two letters picked without replacement from clonolfooo.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28 - 24 - 4 + 40*p - 2 to d*p + n and give d.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/27 and 47\/4716603.\nAnswer: 4716603","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + (-2)\/8)*4. Suppose 4*j = -b + 12, 0 = -3*j + 6. Suppose -b*q + 6 = l, -3*q - a*l = -8*q + 16. Calculate the smallest common multiple of 18 and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -978 - -984. Solve 6*k = 2*k + 3*g - j, 10 = -3*k + 5*g for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/39)\/(112\/(-168))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f + 3*f + 188*b - 189*b, -5*f - 3 = -6*b for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*v**2 - 295404*v + 147694*v + 147710*v.\nAnswer: 56*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 107312 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -407, -371, -329, -275, -203?\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/3 (b) -0.5 (c) 18 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68)*2 + sqrt(68))*-6 + -4 - ((sqrt(68) - (5 + sqrt(68)*-1)) + 1))**2.\nAnswer: 27200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 631*i - 50914 - 9031 = 0 for i.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*u = 28*u - 28 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 3*y**2 - 47*y - 14. Let x be m(16). Find the third derivative of -3*z + 2*z - 2*z - 4*z**2 + x*z - 2*z**4 - 12*z**3 wrt z.\nAnswer: -48*z - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -364*o - 325*o - 22482 + 5257 for o.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - 14 - (0 + -6) - 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 0*z - 2705. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6890722, -13781446, -20672170, -27562894, -34453618?\nAnswer: -41344342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -5*a - 0*s + 81, a + 4*s = 23. Solve 3*g + 0*g = -a for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o**2 - 6*o**3 + 6*o**3 - o**3 - 15*o - o**3 - 3*o**4 as s*o**3 + d + w*o**4 + f*o**2 + h*o and give h.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-60)\/4*(-1 + ((-2099672)\/40 - -1)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 647 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 33 (base 8) to base 13\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 57736*h. Let r(q) = 1483*q**2. Determine r(z(l)).\nAnswer: 4943499967168*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5178031 != 5178032?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27*f*t**4*u - 13*f*t**3*u - 8742*f*t**2*u + 1292*t**3*u - 4*t**2*u - 2*u + 3 wrt t.\nAnswer: -648*f*t*u - 78*f*u + 7752*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/8 - 1155\/12. Let s be 4\/(-14) + f\/(-42). Let p be (-4)\/(-10) - 216\/(-10). Solve p = -5*m + s for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-6*((2*sqrt(99) + sqrt(99))\/sqrt(9) + -2)**2 + (sqrt(1100) + -4 + (sqrt(1100) + -2)**2 - (sqrt(1100) + 1 + -1)**2)).\nAnswer: -126*sqrt(11) + 1854","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -5 + 4 + -13 + -18.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/12)\/((-66)\/165)?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 231.7 - 232.9. Which is smaller: r or -3\/14?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.77 and 5.\nAnswer: 3.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 s when three letters picked without replacement from {r: 5, m: 2, u: 5, s: 3}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 252 and 112.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 + 37\/3. Which is the fourth smallest value? (a) 0.3 (b) l (c) 4 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xgxxxxxxxxgxxxxxxxxg. What is prob of sequence xgg?\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8603725 and 13754?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 6*u + 110 = b, -2*b = 5*u - 208. Solve b - 96 = -6*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -76889.5, 2\/53, 1\/4 in ascending order.\nAnswer: -76889.5, 2\/53, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41480 and 932?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -86 in 5, -19, 4?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 9*a**2 + 6*a**2 - 22*a**2 + 4*a**2 + 2*a**2 + 79 - 6*a. Determine u(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (5*sqrt(20)*-1*-6)\/(sqrt(20)\/(sqrt(405)*3 - sqrt(405))).\nAnswer: -2 + 540*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 - 6*i - 6. Let a be y(-2). Let d(r) = 4*r - 2*r**2 + r**2 + 7 + 3*r**2 - r**a. Give d(-6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 658 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25963.\nAnswer: 7, 3709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -2*v + 2*n, 0 = -5*v + n + 169 - 47. Suppose -5*g + v = -4*g. Find the second derivative of 10*z**3 - 8*z**3 - 15*z**3 - g*z**3 - 47*z wrt z.\nAnswer: -228*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -9, 42\/11.\nAnswer: -9, 42\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 17875 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bn when two letters picked without replacement from mmmmvmbmnvbvmv?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -8382924 divided by -762084\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 56 - -2868. Let f be 3\/12 + r\/16. Suppose -167 = -7*c + f. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, b: 4, e: 7, u: 2}. Give prob of sequence buu.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5002*c - 211744 = -11664 for c.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31023.\nAnswer: 3, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 10448?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.117 times -3\nAnswer: -0.351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -182*f**3 - f**2 + f + 1. Suppose -1 = -4*a + 5*a. List the prime factors of h(a).\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + 2\/(-4))*-2. Let l(w) = w**2 + 2*w**2 - w**2. What is the least common multiple of l(f) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - 7*h + 6. Let j be y(6). Suppose j*f = -3*f. Let b(c) = c**3 - 12*c**2 - 14*c + 17. Let u be b(13). Solve u*p + 12 + f = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*r + 11*r - 39*r + 3*r + 5*r**2 + 9*r.\nAnswer: 5*r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -5*a. Let u be 19 - (2 - (1 + a)). Let s = -229 - -247. Calculate the highest common divisor of s and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 116802610 to the nearest integer?\nAnswer: 10808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -26 - -13062?\nAnswer: 13033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190265?\nAnswer: 5, 38053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15597?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 2*g = -16. Let c be ((-1)\/(-2))\/(2\/g). Let f(o) = 2*o - 3. Determine f(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118068833 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -u - 4, -281*n - 5*u - 20 = -278*n. Put 5, n, -5, -4 in descending order.\nAnswer: 5, n, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = 4*w - 3*d - 3, -2*w + 3*d + 6 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15248594 is divided by 17527?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - -24)*(93\/2)\/3. Let w = u + -366. What is the lowest common multiple of w and 7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2527338158?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 0.663 (c) -2\/11 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 147370 divided by 162.\nAnswer: 73685\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = -23*g + 28*g + 54, 3 = 3*g + 2*p + 34 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*0.65291.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 6, f: 4, j: 5}. Give prob of sequence hh.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 325 and 45682325.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.31868 rounded to 2 dps?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -14\/9 (b) 2 (c) -5 (d) 1\/32 (e) 3 (f) 24\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22505565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 12. Suppose -12 = 4*r, r - 2*r + 13 = -g*x. Calculate the remainder when (-1)\/x + 93\/12 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2854283*10\nAnswer: -2.854283","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/38280 and -131\/128760.\nAnswer: 1416360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p + 27. Let q be d(-30). List the prime factors of 312 + -3*(q - -1).\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3055028 smaller than 3055029?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 336 + -708?\nAnswer: -392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 206650 and 6?\nAnswer: 619950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 1)*(0 + 0 + 2*m) - 4*m + 2*m + 5 + 14 - 3*m + 0*m + m + (0*m - m - m)*(6 - 3 - 2).\nAnswer: -4*m + 19","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1283373.69 * 3\nAnswer: -3850121.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38 and 16739?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 3)*(-2*w - 5*w**2 - 73*w**3 + 156*w**3 - 82*w**3 + 5).\nAnswer: w**3 - 5*w**2 - 2*w + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1073272, -1073271, -1073270, -1073269, -1073268?\n\"Answer: b - 1073273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 + 11*f - 9. Suppose 20 = g - 6*g. Let t be (-48)\/(-2)*2\/g. Let j be z(t). Solve u - j*a - 15 = 0, u + 6 = -4*a - 7 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -40 + (-509 - -551).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.819527ns in seconds?\nAnswer: 0.000000000819527","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/2)\/(1\/4). Suppose -3*u + s*u - 4 = 0. Suppose z - u = -0. What is the highest common factor of z and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6d1 (base 15) in base 10?\nAnswer: 1546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -17*z**3 - 3*z**2 - 4*z - 4. What is the tens digit of u(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand q - 3*q + 2*q**4 + 2*q**3 + 0*q + (-2*q + 0*q + q)*(q**3 - 2*q**2 + 2*q**2).\nAnswer: q**4 + 2*q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 5*f - 38. Suppose 2*s - 1 = u - 2, -2*s - f = -3*u. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18822.816 months in decades?\nAnswer: 156.8568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -61*((-27)\/4 - 4\/16). Suppose -9*k + 2*k = -l. What is the remainder when k is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 14 = 3*t, 5*r = -t - 4*t - 10 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110763186 is divided by 296?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + 0 + -1 + -7. Let j = 6 + g. Let t(v) = -24*v + 1. List the prime factors of t(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 2*d = -6*d + 4, 4*y - 5*d = 60. What is the greatest common divisor of 20 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 70*v**2 - 71*v**2 + 15 - 4)*(3*v - 2*v - 7*v).\nAnswer: 6*v**3 + 6*v**2 - 66*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6924463942?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (437 - 439 + 3*j**4 + 20*j**4)*(-3*j + 0*j + 2*j).\nAnswer: -23*j**5 + 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1786 - -1785. Which is the second smallest value? (a) 0.03 (b) 1 (c) 1.5 (d) 0.2 (e) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -19\/1467 >= 0.058?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -1*(sqrt(1584) - (sqrt(1584) - (2 + (sqrt(1584) - (sqrt(1584) - sqrt(1584)*2))))))**2.\nAnswer: -144*sqrt(11) + 6345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -5 in descending order.\nAnswer: 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(126)\/sqrt(63))**2 + ((sqrt(44)\/sqrt(2)*-1)\/(sqrt(11) + sqrt(110)\/sqrt(90) + sqrt(11)))**2.\nAnswer: -2*sqrt(2) + 165\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1 + sqrt(72) - sqrt(72)) - sqrt(72))**2 + (-5 + sqrt(72) + -2)**2.\nAnswer: -156*sqrt(2) + 229","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 0*2\/12.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 9) to base 6.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 30, 46, 56, 60, 58?\n\"Answer: -3*c**2 + 25*c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 3*u = 30. Suppose -i + 4*i = u. Let d be (-1 - -401)\/(i\/1250). What is d rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55653 is divided by 1264?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/10*(-2990)\/2392*5\/(30\/116).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + (-5 - -5 - -1). Let z = 3 - 3.4. Let j = -132 - -137. Which is the smallest value? (a) j (b) t (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8\/23 in -0.1455, 0.2, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f - 3. Let j(a) = 29*a + 6. Let w(p) = 6*p + 1. Let s(d) = -j(d) + 5*w(d). Determine -7*s(c) + 4*x(c).\nAnswer: c - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w**3 - 5*w**2 - 3*w + 7. Let h be o(6). Let x = h - 237. Solve 5*j + 0*n + 40 = 4*n, -n = -x*j - 21 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - 11*i**2 - 10*i - 1. What is b(-10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + 12 + (13 - 19 - 10)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m - m**2 - 2*m + (-6*m + 3*m + 5*m)*(0 + 2*m + 0) - 5 + 5 + m**2 - 58*m**2 + 46 - 46 + (-m + 4*m - 2*m)*(0 - 2*m + 0) - 5*m**2 + m**2 + 3*m**2.\nAnswer: -57*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 8:49 PM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -66 * -12387.1.\nAnswer: 817548.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -384*y**2 + 253*y wrt y.\nAnswer: -768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -38, -75, -118, -173, -246?\n\"Answer: -i**3 + 3*i**2 - 39*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0 (b) -0.2 (c) 2\/9 (d) 1\/4 (e) -217\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 - 8. What is the lowest common multiple of 2 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of -y**6\/144 - y**5\/60 + y**4\/12 + 2*y**2. Let p(w) be the second derivative of c(w). Let i be p(-2). Solve 2 - i = -2*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1275 - 1275 - 3*f.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8061 + -8063.3139. Round r to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 3*(0 + sqrt(175) + (sqrt(175) + -2)*2 + 4 + -1*sqrt(175)) + -4)**2.\nAnswer: -300*sqrt(7) + 6325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*t**3 + 3 - 32*t**3 + 1 - 4.\nAnswer: -7*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26 + -24. Suppose 0 = j + i*j + 4*l - 128, 5*j - 5*l = 260. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v**2 + 67*v + 3. What is x(-37)?\nAnswer: 262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l. Let k(z) = z. Let c be k(1). Give w(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3630781 in 2.3, 0.1, 0.3?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*n**4 + 912588*n**3 - 6*n + 8378?\nAnswer: -36*n**2 + 5475528*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28.2 - 17.3. Let f = -11 + k. Sort 4, 2, f in decreasing order.\nAnswer: 4, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 + -13 - 76\/(-19). Let z be (2\/o)\/(7271\/660 + -11). Put 2, z, -1, 3 in ascending order.\nAnswer: z, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 825, 836, 835, 816, 773, 700, 591?\n\"Answer: -v**3 + 18*v + 808","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1463619990 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/30)\/(1\/27)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30 + -18. Let n = 36 - c. What is the remainder when n is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*30\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p. Let j(u) be the second derivative of -7*u**3\/6 + 8*u. What is 3*j(w) - 24*n(w)?\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6726 - -11873. What is the thousands digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r*r*r*r**(-3\/7)*r*r)\/r)*r*r*r**(-2\/3))**(-11)\/((r**(-2\/7))**(-49)*r**4*r*r*r**5) assuming r is positive.\nAnswer: r**(-239\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/(-9))\/(612\/(-918)))\/((-2)\/(-42)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 greater than 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 2*r**5 - 5838*r**4 + 6247332*r**3 - 2903062572*r**2 + 497865937050*r - 1467638453574 = 0.\nAnswer: 3, 537, 921","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - 3958954?\nAnswer: -3958958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 >= -872?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 12:58 AM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - 2\/(-6)*3. Let b(s) = 0*s**z + 20*s**2 + 9*s**3 + 25 - 10*s**3. Let g be b(20). Put g, 5, 1 in ascending order.\nAnswer: 1, 5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -3*i**3 + i**2 + 2*i + 1. Let h be u(-1). Suppose 3*x + 39 = 5*v + 14, -x - h*v + 15 = 0. Suppose -d + 40 - 6 = x. Does 26 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of 0*j**3 + 0 + 0*j**6 + 0*j**5 + 0*j**2 - 3\/14*j**7 - 16*j - 7\/12*j**4. What is the third derivative of g(l) wrt l?\nAnswer: -540*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*v + 29*v = -9. Is 2961 - 8\/12*v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3961, 7859, 11757, 15655, 19553, 23451?\nAnswer: 27349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 156\/28*(-539)\/231.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 3*w**3\/5 + 144528*w**2\/5 + 676624476*w\/5 + 835351002864\/5 = 0?\nAnswer: -43092, -2542","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3*g = -4*q - 2880, q = -4*g + 2855. Is g a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 308, 880, 1420, 1928, 2404?\nAnswer: 2848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -929\/9 + 103. Which is the nearest to g? (a) -5\/4 (b) -6 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 5*w = -55, -p + 3*w + 23 = 6 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - 5*d**2 + 19*d + 33. Let y be v(-7). Let l be 6\/(-27) + 7\/(-9). Sort y, l, 0.\nAnswer: y, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i + 7*i - 1557 = -493. Calculate the remainder when 747 is divided by i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {k: 11, c: 2}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.17 + -0.37. Let y = 1897.94 - 1898. What is the closest to 0 in y, -5, i?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -182 + 14*x + 182.\nAnswer: 14*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hd when two letters picked without replacement from {d: 4, g: 1, h: 1, k: 2, o: 1, b: 3}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -161*x - 803. Let t be k(-5). What is the greatest common factor of t and 614?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-2)*(-10)\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/16 and -101\/17280.\nAnswer: 17280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 20125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -6, -20, 2, 3, 5 in descending order.\nAnswer: 5, 3, 2, -2, -6, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3*i = -4*s - 5715, -4*i + s + 4561 = 0. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16780871*p**2 + 16766607*p wrt p?\nAnswer: -33561742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2112 - 1467 - 3327 = 103*q + 2571 for q.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 3*n + 2*l, -3*n - 25*l + 22*l = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-5 + sqrt(2736) + sqrt(2736) + -2 - (sqrt(2736) + sqrt(2736)*1 + -2 + sqrt(2736))) + 4)**2 + 3 + 4.\nAnswer: 24*sqrt(19) + 2744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -258*y**2 - 263*y**2 + 779*y**2 - 251*y**2.\nAnswer: 7*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c*r**3 - c*r**2 - 153*c*r + 2*c - 8*r**3 - 12*r**2 wrt r?\nAnswer: 12*c*r - 2*c - 48*r - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of -5*q**4\/8 - 3460*q**2. Let c(o) = 655*o**2. Calculate c(k(y)).\nAnswer: 147375*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 3*h + 34, -18 = -x - 2*x + h. Let u(f) = f**3 - 7*f**2 + 8*f + 3. Determine u(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -73 - -77. Suppose -q = -3*h + 14, 4 = -3*h - g*q - 7. Solve h = -2*a + 3*a, -4*a = 4*k - 24 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) - ((sqrt(325) - -2*sqrt(325)) + sqrt(325) - sqrt(325))**2 - sqrt(78)\/sqrt(150).\nAnswer: -2925 + 4*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 4694000 to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -g + 45. Let l be -135 + 2*g\/6. What is the remainder when l\/(-9) + 1\/3 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*o = 107 + 53. Let a(t) = t**2 + 3. Let c be a(0). Suppose m - c*m + 20 = 0. Is o not equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50 and 425?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 125.179 less than -2407301?\nAnswer: -2407426.179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-3762997.9.\nAnswer: -376299.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + 46 + (-23 - 48).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.0903 (b) 2 (c) 0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -611 + -207.\nAnswer: -818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 694224 and 44?\nAnswer: 7636464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -45.112662 to one dp.\nAnswer: -45.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 - 0.2. Which is the nearest to 0? (a) 5 (b) l (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/12*(-2 - 9\/(-3)). Let u = -10 + 79\/8. Which is the closest to t? (a) -0.4 (b) u (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 + 6*l. Suppose q = 8 - 3. Let s be h(q). Suppose -z - 15 = -4*z - 3*y, -y + 17 = s*z. Solve 0 = -5*r + 4*x + 33, z*r = 3*x + 6 + 15 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g**2 - 5*g + 7. Let v be p(3). Let s(o) be the first derivative of -4*o**4 + 8\/3*o**3 + 8 + v*o**2 - 16\/5*o**5 - 2\/3*o**6 + 8*o. Factor s(n).\nAnswer: -4*(n - 1)*(n + 1)**3*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22035 = -3*h + 9*q, -22077 = 10*h - 13*h + 2*q. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*f**2 - 4*f**4 + f + 8*f**4 - 19 - 9*f**2 + 33 - 13 in the form z*f**4 + x*f + j*f**3 + y + v*f**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053) + 2 + -1 + (-2 + sqrt(1053)*-3)**2 - ((-6*(0 + sqrt(1053)) + sqrt(1053) + 5)*3)**2) + 0 + 5.\nAnswer: -227663 + 4167*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of w**4\/6 - 2*w**3\/3 - 15*w**2 + 350*w\/3 + 225. Factor f(a).\nAnswer: 2*(a - 5)**2*(a + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -546 - -373. Let z = f + 217. Calculate the remainder when 128 is divided by z.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15 and 25749.\nAnswer: 128745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 27\/81 + 496658\/(-6) - 4. What is h rounded to the nearest 1000?\nAnswer: -83000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3*z**2. Let y(p) be the first derivative of -5*p**2\/2 - 8. Give j(y(s)).\nAnswer: 75*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}